Journal of the Heat Transfer Society of Japan
Vol. 60, No. 252
2021. 7

Thermal Science and Engineering
Vol. 29, No. 3
2021. 7

◆特集：オープンソースソフトウェアを活用したCAEhttps://www.htsj.or.jp/journals/2121.html

ᕥ : 㐃ᡂゎᯒࡢᴫせᅗ                ྑ : ๪ᐊࡢᗘゎᯒ⤖ᯝ࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔࡛࠶ࡿ OpenFOAM㸦⇞↝࣭ὶయゎᯒ㸧࡜ Salome-Meca㸦ᅛయ⇕ఏᑟゎᯒ㸧ࢆ⤌ࡳྜࢃࡏ㸪⇞↝࡜ఏ⇕ࡢ㐃ᡂゎᯒࢆᐇ᪋ࡋࡓ㸬཮᪉ྥࡢ㐃ᡂ࡛࠶ࡾ㸪㠀ᐃᖖ⇕ఏᑟゎᯒࢆᐇ᪋ࡍࡿ
๪ᐊ࡬ࡢධ⇕ቃ⏺᮲௳ࢆ㸪⇞↝ゎᯒ࡟ࡼࡾ୍ᐃ㛫㝸ࡈ࡜࡟᭦᪂ࡍࡿࡇ࡜࡛ᐇ⌧ࡍࡿ㸬᪂ࡓ࡞ᵓ㐀ࢆ⪃᱌ࡋ㸪Ⅼⅆࣉࣛࢢ࡜ࣉࣛࢢ࢟ࣕࢵࣉࡢ᭱㧗ᗘࢆ┠ᶆ್௨ୗ࡟ᢚ࠼ࡿࡇ࡜ࡀ࡛ࡁࡓ㸬㸦≉㞟グ஦ࠕOpenFOAM ࢆ⏝࠸ࡓ⮬ື㌴⏝࢚ࣥࢪࣥࡢࢩ࣑࣮ࣗࣞࢩࣙࣥᢏ⾡ࡢ㛤Ⓨ㸦ಖᆏ ▱ᖾ㸪ග⸨೺ኴ㸪ᮡ஭ Ὀ௓㸪⡿㇂ ┤ᶞ㸧ࠖࡼࡾ㸧 
ᕥ : ࢔࣑ࣝࢽ࣒༙࢘㐃⥆㗪㐀᫬ࡢᗘศᕸ   ྑ : ࢔࣑ࣝࢽ࣒࢘㉸㡢Ἴ༙㐃⥆㗪㐀᫬ࡢ࢔࣑ࣝࢽ࣒࢘ࡢ༙㐃⥆㗪㐀᫬ࡢ㗪㐀㏿ᗘࢆኚ໬ࡉࡏࡓሙྜࡢ
ᅛ┦⥺

ᗘศᕸ

ᗘศᕸࢆ♧ࡍ㸬ᅗ୰࡛ⓑ⥺ࡣᾮ┦⥺㸪ᗘࢆ♧ࡍ㸬㗪㐀㏿ᗘୖ᪼࡟క࠸⁐⼥㡿ᇦࡣ῝ࡃ࡞ࡾ㸪ᅛᾮඹᏑ㡿ᇦࡶቑຍࡍࡿ㸬㉸㡢Ἴ↷ᑕ᫬࡟ࡣ㡢㡪ὶࡀⓎ⏕ࡋ㸪 ᗘሙ᣺ືࡀቑ኱ࡍࡿ㸬㡢㡪ὶ࡟ࡼࡗ࡚≉࡟㗪㐀ึᮇ࡟⁐⼥㡿ᇦࡀ῝ࡃ࡞ࡾ㸪ᗏ㒊ࡲ࡛⁐⼥㔠ᒓࡀ฿㐩ࡍࡿ㸬㡢㡪ὶ࡟ࡼࡗ࡚෌⁐ゎࡋ࡚࠾ࡾ㸪ᅛᾮඹᏑ㡿ᇦࡀ኱ࡁࡃ᣺ືࡍࡿ㸬㸦≉㞟グ஦ࠕ࢔࣑ࣝࢽ࣒࢘⏕⏘ࣉࣟࢭࢫ࡟࠾ࡅࡿ OpenFOAM ࡢά⏝㸦ᒣᮏ ༟ஓ㸪ࢥ࣐ࣟࣇ ࢭࣝࢤ࢖㸧ࠖࡼࡾ㸧ఏ⇕ 2021 ᖺ 7 ᭶

J. HTSJ, Vol. 60, No. 252

Vol. 60

2021

No. 252Julyఏ  ⇕┠ ḟࠑᕳ㢌ࢢࣛࣅ࢔ࠒಖᆏ ▱ᖾ㸪ග⸨ ೺ኴ㸪ᮡ஭ Ὀ௓㸪⡿㇂ ┤ᶞ㸦᪥❧〇సᡤ㸧ᒣᮏ ༟ஓ㸪ࢥ࣐ࣟࣇ ࢭࣝࢤ࢖㸦ᮾ໭኱Ꮫ㸧 ··········· ⾲⣬⿬ࠑ᪂ᪧ఍㛗ᣵᣜࠒ
➨ 59 ᮇࢆ᣺ࡾ㏉ࡗ࡚ ··················································· ⰼᮧ ඞᝅ㸦ᮾிᕤᴗ኱Ꮫ㸧 ···········

1➨ 60 ᮇ఍㛗ᑵ௵࡟࠶ࡓࡗ࡚ ······················ ᐀ീ 㕲㞝㸦㸦ᅜ◊㸧⏘ᴗᢏ⾡⥲ྜ◊✲ᡤ㸧 ···········

2ࠑ➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹ࠒ
➨ 59 ᮇ㸦௧࿴ 2 ᖺᗘ㸧⾲ᙲ㑅⪃ጤဨ఍࠿ࡽࡢሗ࿌
··········································· ⾲ᙲ㑅⪃ጤဨ఍ ጤဨ㛗 㭯⏣ 㝯἞㸦஑ᕞᕤᴗ኱Ꮫ㸧 ···········

3᪥ᮏఏ⇕Ꮫ఍Ꮫ⾡㈹ࢆཷ㈹ࡋ࡚
········································ ᮤ ⛙ᐅ㸪㧗ᶫ ཌྐ㸦஑ᕞ኱Ꮫ㸧㸪ᙇ ⯆㸦Ύ⳹኱Ꮫ㸧 ···········

5᪥ᮏఏ⇕Ꮫ఍Ꮫ⾡㈹ࢆཷ㈹ࡋ࡚·············· ୖ㔝 ୍㑻㸦ᮾ⌮኱㸧㸪୰ᮧ 㣁㸦ᮾ⌮኱㝔㸧㸪
Farzam ZOUESHTIAGH㸦Univ. Lille㸧㸪
Harunori N. YOSHIKAWA㸦Univ. Côte d'Azur㸧㸪
Lizhong MU㸦Dalian Univ. Technology㸧㸪Georg F. DIETZE㸦Univ. Paris-Saclay㸧㸪ሯཎ 㝯⿱㸦ᮾ⌮኱㸧 ···········

6᪥ᮏఏ⇕Ꮫ఍ᢏ⾡㈹ࢆཷ㈹ࡋ࡚·············· 㰻⸨ ♸ኈ㸪ᕝཎ ὒྖ㸪ࣇ࢓࣭ࣥࢱࣥࣟࣥ㸪ⴗ㔝 ᫓ಇ㸪ࣈࣛࢵࢻ࣮࣭࣮ࣜ࢜㸪㧗ᐑ ᫂ᘯ㸪ࢩ࣭ࣥࣛࣥࢹ࢕࣮ࣉ㸪࢔ࣁ࣓ࢻ࣭ࣔࣁ࣐ࢻ࣭ࢩࣕ࣊ࢵࢻ 㸦ओࣇࢪࢡࣛ㸧 ···········

7᪥ᮏఏ⇕Ꮫ఍ዡບ㈹ࢆཷ㈹ࡋ࡚··············································· ⋤ ᣺ⱥ㸦஑ᕞ኱Ꮫ㸧 ···········

8᪥ᮏఏ⇕Ꮫ఍ዡບ㈹ࢆཷ㈹ࡋ࡚········································· ᶫᮏ ᑗ᫂㸦ྡྂᒇ኱Ꮫ㸧 ···········

9ࠑ➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࠒ
➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢሗ࿌
··················································· బࠎᮌ ┤ᰤ㸪⏣୰ ୕㑻㸪ᐑᒸ ኱㸦᪥ᮏ኱Ꮫ㸧㸪ᑠᐑ ᩔᶞ㸪ᒸᓥ ῟୍㑻㸪ᗉྖ ⾨ኴ㸪⚄⏣ 㞝㈗㸦ᮾ໭኱Ꮫ㸧㸪ᒸ㒊 Ꮥ⿱㸦ᘯ๓኱Ꮫ㸧㸪㏆⸨ ⩏ᗈ㸦᪥❧䜰䜹䝕䝭䞊㸧㸪ᕴ ࿴ஓ㸦ி㒔኱Ꮫ㸧㸪Ἑᮧ ὒ㸦බ❧ㄶゼᮾி⌮⛉኱Ꮫ㸧㸪ᫍ ᮁ㸦ᮾ໭Ꮫ㝔኱Ꮫ㸧㸪ᖹ஭ ⚽୍㑻㸦ᮾிᕤᴗ኱Ꮫ㸧 ··········· 10ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ ཷ㈹⪅ 㸫 ➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ 㸫························································· Ꮫ⏕఍ጤဨ఍ᖿ஦ すᒣ ㈗ྐ㸦⚟ᒸ኱Ꮫ㸧 ··········· 21ࠑ≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࠒ≉㞟ࠕ࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࠖ࡟࠶ࡓࡗ࡚
·············································································· ୰ᕝ ៅ஧㸦ᐩᒣ┴❧኱Ꮫ㸧 ··········· 22࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ OpenFOAM ⌧ᅾ࡜௒ᚋ
㹼㛤Ⓨ࣭⥔ᣢࢆᨭ࠼ࡿࢥ࣑ࣗࢽࢸ࢕࡜ࡑࡢάື㹼···························································· ୕㑓 ⪃ᚿ㸦᪥ᮏ࢖࣮࢚ࢫ࢔࢖ᰴᘧ఍♫㸧 ··········· 23
OpenFOAM ࢆ⏝࠸ࡓ⮬ື㌴⏝࢚ࣥࢪࣥࡢࢩ࣑࣮ࣗࣞࢩࣙࣥᢏ⾡ࡢ㛤Ⓨ·························· ಖᆏ ▱ᖾ㸪ග⸨ ೺ኴ㸪ᮡ஭ Ὀ௓㸪⡿㇂ ┤ᶞ㸦᪥❧〇సᡤ㸧 ··········· 28࢔࣑ࣝࢽ࣒࢘⏕⏘ࣉࣟࢭࢫ࡟࠾ࡅࡿ OpenFOAM ࡢά⏝······················································ ᒣᮏ ༟ஓ㸪ࢥ࣐ࣟࣇ ࢭࣝࢤ࢖㸦ᮾ໭኱Ꮫ㸧 ··········· 34
OpenFOAM ࡜ఏ⇕ၥ㢟 ··············································· ୰ᕝ ៅ஧㸦ᐩᒣ┴❧኱Ꮫ㸧 ··········· 40࣮࢜ࣉࣥ CAE ࡢ㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡢά⏝·································································· ᰘ⏣ Ⰻ୍㸦ᒱ㜧ᕤᴗ㧗➼ᑓ㛛Ꮫᰯ㸧 ··········· 46࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ OpenModelica ࡜኱Ꮫ࡟࠾ࡅࡿᩍ⫱࡜◊✲࡬ࡢ㐺⏝஦౛······················································································· す ๛ఛ㸦㊊฼኱Ꮫ㸧 ··········· 52ࠑ᭩⡠⤂௓ࠒ
ࠕJSME SERIES IN THERMAL AND NUCLEAR POWER GENERATIONࠖⓎหࡢ࠾▱ࡽࡏ········································································ ᮌᡞཱྀ ࿴ᾈ㸦㟁ຊ୰ኸ◊✲ᡤ㸧 ··········· 59

ࠑ⾜஦࢝ࣞࣥࢲ࣮ࠒ ········································································································· 61ࠑ࠾▱ࡽࡏࠒ
බ┈♫ᅋἲே᪥ᮏఏ⇕Ꮫ఍➨ 59 ᮇ㸦2020 ᖺᗘ㸧⥲఍㆟஦㘓 ················································· 62
2021 ᖺᗘ ᪥ᮏఏ⇕Ꮫ఍ Ꮫ⾡㈹࣭ᢏ⾡㈹࣭㈉⊩㈹࣭ዡບ㈹ೃ⿵⪅᥎⸀ເ㞟ࡢ࠾▱ࡽࡏ ··············· 64࣭஦ົᒁ࠿ࡽࡢ㐃⤡····································································································· 65ࠑ⦅㞟ฟ∧㒊఍ࣀ࣮ࢺࠒ ·································································································· 69

Vol.60㸪No.252㸪July 2021
CONTENTS
㸺Opening-page Gravure: heat-page㸼
Tomoyuki HOSAKA, Kenta MITSUFUJI, Taisuke SUGII, Naoki YONEYA (Hitachi, Ltd.)
Takuya YAMAMOTO, Sergey KOMAROV (Tohoku University) āāāāāāāāāāāāāāāāāā

Opening Page

㸺New and Former Presidents' Addresses㸼
The 59th Term in Retrospect
Katsunori HANAMURA (Tokyo Institute of Technology) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 1
Inauguration Address as the 60th President
Tetsuo MUNAKATA (National Institute of Advanced Industrial Science and Technology) āāāāāāā 2

㸺The 33rd Heat Transfer Society Awards㸼
Report from the Award Selection Committee of the Heat Transfer Society of Japan, 2020
Takaharu TSURUTA (Kyushu Institute of Technology) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 3
On Receiving Scientific Contribution Award of the Heat Transfer Society of Japan
Qin-Yi LI, Koji TAKAHASHI (Kyushu University),
Xing ZHANG (Tsinghua University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 5
On Receiving Scientific Contribution Award of the Heat Transfer Society of Japan
Ichiro UENO (Tokyo Univ. Science), Hayate NAKAMURA (Tokyo Univ. Science),
Farzam ZOUESHTIAGH (Univ. Lille), Harunori N. YOSHIKAWA (Univ. Côte d'Azur),
Lizhong MU (Dalian Univ. Technology), Georg F. DIETZE (Univ. Paris-Saclay),
Takahiro TSUKAHARA (Tokyo Univ. Science) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 6
On Receiving Technical Achievement Award of the Heat Transfer Society of Japan
Yuji SAITO, Yoji KAWAHARA, Phan THANG-LONG,
Harutoshi HAGINO, Bradley ORR, Akihiro TAKAMIYA,Singh RANDEEP, Ahamed Mohammad SHAHED (Fujikura Ltd.) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 7
On Receiving Young Researcher Award of the Heat Transfer Society of Japan
Zhenying WANG (Kyushu University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 8
On Receiving Young Researcher Award of the Heat Transfer Society of Japan
Masaaki HASHIMOTO (Nagoya University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 9

㸺The 58th National Heat Transfer Symposium of Japan㸼
Report on the 58th National Heat Transfer Symposium of Japan
Naoe SASAKI, Saburo TANAKA, Futoshi MIYAOKA (Nihon University),
Atsuki KOMIYA, Junichiro OKAJIMA, Eita SHOJI, Yuki KANDA (Tohoku University),
Takahiro OKABE (Hirosaki University),
Yoshihiro KONDO (Hitachi Academy Co., Ltd.),
Kazuya TATSUMI (Kyoto University),
Hiroshi KAWAMURA (Suwa University of Science),
Akira HOSHI (Tohoku Gakuin University),
Shuichiro HIRAI (Tokyo Institute of Technology) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 10
Best Presentation Award - 58th National Heat Transfer Symposium of Japan Takashi NISHIYAMA (Fukuoka University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 21

㸺Special Issue: Open-Source Software and CAE㸼Preface to the Special Issue on “Open-Source Software and CAE”
Shinji NAKAGAWA (Toyama Prefectural University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 22
Current and Future of OpenFOAM㹼The Community that Supports Development and Maintenance㹼
Takashi MINABE (ESI Japan. Ltd.) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 23
Numerical Simulation for Internal Combustion Engine Using OpenFOAM
Tomoyuki HOSAKA, Kenta MITSUFUJI, Taisuke SUGII,
Naoki YONEYA (Hitachi, Ltd.) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 28
Utilization of OpenFOAM in an Aluminum Making Process
Takuya YAMAMOTO, Sergey KOMAROV (Tohoku University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 34
OpenFOAM and Heat Transfer Problems
Shinji NAKAGAWA (Toyama Prefectural University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 40
How to Use Elmer, an Open CAE Coupled Analysis Tool
Ryoichi SHIBATA (National Institute of Technology, Gifu College) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 46
Open Source Software “OpenModelica” and Application Examples to Education in University Class and Researches
Koji NISHI (Ashikaga University) āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 52

㸺Library㸼
Notice of publication of "JSME SERIES IN THERMAL AND NUCLEAR POWER GENERATION"
Kazuhiro KIDOGUCHI (Central Research Institute of Electric Power Industry) āāāāāāāāāāāāāāāāā 59

㸺Calendar㸼 āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 61
㸺Announcements㸼 āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 62
㸺Note from the JHTSJ Editorial Board㸼 āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā 69᪂ᪧ఍㛗ᣵᣜ

➨ 59 ᮇࢆ᣺ࡾ㏉ࡗ࡚
The 59th Term in Retrospectⰼᮧ ඞᝅ㸦ᮾிᕤᴗ኱Ꮫ㸧
Katsunori HANAMURA (Tokyo Institute of Technology)
5 ᭶ 26 ᪥ࡢ➨ 59 ᮇ⥲఍ࢆࡶࡗ࡚఍㛗ࢆ㏥௵࠸
ࡓࡋࡲࡋࡓ㸬ࡇࡢ఍㛗⫋ࡢ 1 ᖺ㛫ࡣࢥࣟࢼ⚝࡟࠶ࡾ㸦⌧ᅾࡶཝࡋ࠸≧ἣࡀ⥆࠸࡚࠸ࡲࡍࡀ㸧㸪⌮஦఍ࢆྵࡵ඲࡚ࡢ⾜஦ࡀ࣮ࣜࣔࢺ㸦Web㸧㛤ദ࡜࡞ࡾࡲࡋࡓ㸬ࡇࡢࡓࡵ఍ဨࡢⓙᵝ࡜ᑐ㠃࡟࡚࠾ヰࡋࡍࡿࡇ࡜ࡀ࡛ࡁࡎ㸪ࡉࡽ࡟ᑐእⓗ࡟ࡶ఍㛗ࡢ⫋㈐ࢆ
ᯝࡓࡋࡓᐇឤࡀ࡞࠸ࡇ࡜࡟ᑡࠎ⹫ࡋࡉࢆぬ࠼࡚࠸ࡲࡍ㸬ࡋ࠿ࡋ࡞ࡀࡽ㸪఍ဨࡢࡈ༠ຊ࡜ࡈᑾຊ࡟ࡼ
ࡾṇᘧ࡟ዎ⣙ࡋࡓ Web ࢩࢫࢸ࣒ࢆ⏝࠸࡚ከࡃࡢ
⾜஦ࢆ෇⁥࡟㐍ࡵࡿࡇ࡜ࡀ࡛ࡁࡓࡼ࠺࡟ᛮ࠸ࡲࡍ㸬≉࡟᫖ᖺ୰Ṇ࡜࡞ࡗࡓఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࢆ௒ᖺ
ࡣࡍ࡭࡚࣮ࣜࣔࢺ㛤ദ࡜ࡋ㸪ᑐ㠃࡯࡝࡛ࡣ࡞࠸࡟
ࡋࢁከࡃࡢⓎ⾲࠾ࡼࡧཧຍࢆ࠸ࡓࡔࡁࡲࡋࡓ㸬ヲ⣽ࡣู㏵ᐇ⾜ጤဨ㛗࠿ࡽࡢሗ࿌᭩ࢆཧ⪃࡟࠸ࡓࡔࡅࢀࡤ࡜ᛮ࠸ࡲࡍࡀ㸪ᐇ⾜ጤဨ఍ࡢࡈᑾຊ࡟ࡼࡾ
⁫ࡾ࡞ࡃ⾜ࢃࢀࡓࡼ࠺࡟ᛮ࠸ࡲࡍ㸬ࡉࡽ࡟⥲ྜウㄽ࡟࠾࠸࡚ࡶάⓎ࡞㆟ㄽࡀ࡛ࡁ࡚࠸ࡓࡼ࠺࡟ᛮ࠸
ࡲࡍ㸬ḧࢆ⏦ࡏࡤ㸪Ⓨゝ୰ࡣࣇࣝ⏬㠃࡛Ⓨゝ⪅ࡀᫎࡋฟࡉࢀࡿ࡜⮫ሙឤࡀ㧗ࡲࡗࡓ࠿ࡶࡋࢀࡲࡏࢇ㸬័ࢀ࡚ࡁࡓ࡜ࡣゝ࠼㯮࠸⏬㠃┦ᡭࡢ㆟ㄽ࡟ࡣ㐪࿴ឤࢆぬ࠼㸪ࡸࡣࡾ⾲᝟ࢆぢ࡞ࡀࡽࡢ㆟ㄽࡀᚲせ࡟ᛮ࠸ࡲࡍ㸬୍᪉㸪ࢳࣕࢵࢺࢆ౑ࡗࡓ㉁ၥࡣ㸪᫬㛫
ࡀ㊊ࡾ࡞࠸ሙྜࡸⓎゝ୰࡟㉁ၥࢆ㏦ࡿࡇ࡜ࡀ࡛ࡁ㸪౑࠸᪉ḟ➨࡛ࡣ㆟ㄽࢆ῝ࡵࡿࡇ࡜ࡀ࡛ࡁࡿ࡜ᛮ࠸
ࡲࡍ㸬㔜」㉁ၥࢆ㑊ࡅࡿ࡞࡝ࡑࡢ஺㏻ᩚ⌮ࢆࡍࡿᗙ㛗ࡢ⭎ࡢぢࡏᡤ࠿ࡶࡋࢀࡲࡏࢇ㸬௒ᖺࡣᮏ఍ࡀ๰❧䠄1961 ᖺ䠅࠿ࡽ 60 ࿘ᖺ㸦㑏ᬺ㸧ࢆ㏄࠼ࡓࡓࡵ㸪ࡑࡢグᛕㅮ₇఍ࢆᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢὀ┠⾜஦࡜ࡋ࡚㛤ദࡋࡲࡋࡓ㸬ヲ⣽ࡣู㏵
ᥖ㍕ࡉࢀࡿሗ࿌᭩ࢆཧ↷࠸ࡓࡔࡁࡲࡍࡀ㸪YouTube ࡬ࡢ㓄ಙࡶྵࡵ 350 ྡ௨ୖࡢど⫈⪅࡜࡞ࡾࡲࡋࡓ㸬ࣛ࢖ࣈ㛤ദ࡜ࡣ୍࿡㐪࠺᝟ሗⓎಙ࡜ࡋ࡚ᴟࡵ࡚ຠᯝⓗ࡞ᡭἲ࡛ࡣ࡞࠸࠿࡜ᛮ࠸ࡲࡍ㸬ࡈ
ㅮ₇࠸ࡓࡔ࠸ࡓඛ⏕᪉࡞ࡽࡧ࡟ࡈᑾຊ࠸ࡓࡔ࠸ࡓ
60 ࿘ᖺ≉࿨⌮஦ࢆࡣࡌࡵ㛵ಀ⪅ࡢⓙᵝ࡟ࡣཌࡃᚚ♩⏦ࡋୖࡆࡓ࠸࡜ᛮ࠸ࡲࡍ㸬ఏ⇕ 2021 ᖺ 7 ᭶ࡶ࠺୍ࡘ㸪ఏ⇕ࢩ࣏ࣥࢪ࣒࡛࢘ࡢពぢ஺᥮఍ࡶ࣮ࣜࣔࢺ࡟࡚⾜࠸ࡲࡋࡓࡀ㸪ཧຍ⪅࡟ࡣ஦๓࡟≉⏘ရࢆ㏦ࡾ㸪ඹ㏻ࡢࡶࡢࢆᡭ࡟ࡋ࡞ࡀࡽヰࡀ࡛ࡁࡓࡇ࡜ࡣ኱ኚⰋ࠿ࡗࡓ࡜ᛮ࠸ࡲࡍ㸬㏻ᖖ㸪ྛ⮬࡛ᣢࡕᐤࡿࡇ࡜ࡀከ࠸ࡢ࡛ࡍࡀ㸪‶ࡓࡉࢀ࡞࠸ࡶࡢ
ࢆឤࡌ࡚࠸ࡲࡋࡓ㸬௒ᅇࡣ㸪ཧຍ⪅ࡀ㝈ࡽࢀ࡚࠾ࡾࡉࡽ࡟఍ヰࡀ࡛ࡁࡓࡢࡣࡈࡃᑡᩘࡢ᪉࡟␃ࡲࡾ
ࡲࡋࡓࡀ㸪ࡲࡉ࡟㸪㞳ࢀ࡚ࡣ࠸ࡿࡶࡢࡢᐇయ࡟㏆࠸࠶ࡿ࠸ࡣྠࡌ⎔ቃࢆ⏝ពࡍࡿ Virtual Reality㸦௬᝿⌧ᐇ࡜ヂࡉࢀࡲࡍࡀ㸪᪥ᮏㄒࡢ͆௬᝿͇࡜࠸ࡗ
ࡓព࿡࡛ࡣ࡞ࡃᐇయ࡜ྠࡌࡶࡢ࡜࡞ࡿࡇ࡜ࢆព࿡
ࡋࡲࡍ㸧࡜࡞ࡗࡓࡼ࠺࡟ᛮ࠸ࡲࡍ㸬ࡶ࠺ࡋࡤࡽࡃ
࣮ࣜࣔࢺࡢࡳࡢ㛤ദ࡜࡞ࡾࡲࡍࡀ㸪ࡇ࠺ࡋࡓ⤒㦂ࢆ⵳✚ࡋ㸪࣏ࢫࢺࢥࣟࢼ࡟࠾࠸࡚ࡶ┦ᛂࡋ࠸ሙྜ
࡟ࡣ࣮ࣜࣔࢺࢆ౑ࡗ࡚ࡼ࠸࡜ᛮ࠸ࡲࡍ㸬ࡓࡔࡋ㸪࢜ࣥࢧ࢖ࢺ࡜࢜ࣥࣛ࢖ࣥࡢ⤌ࡳྜࢃࡏࡣ᭱ࡶ㞴ࡋ࠸࡜ᛮ࠸ࡲࡍࡢ࡛㸪௒ᚋࡢ఍㛗ࡢุ᩿ࡣࡲࡍࡲࡍ
኱஦࡟࡞ࡿ࡜ண᝿ࡉࢀࡲࡍ㸬ᖾ࠸࡟ࡶᮏ఍ࡢ㈈ᨻࢆྵࡵࡓ㐠Ⴀ࡟ࡘ࠸࡚ࡣබ
┈♫ᅋἲே࡛࠶ࡿࡓࡵࡢ࣮ࣝࣝ࡟㎞࠺ࡌ࡚๎ࡋ࡚
ࡣ࠸ࡲࡍ㸬ࡋ࠿ࡋ㸪ࢥࣟࢼࡢᙳ㡪࡟ࡼࡾ⌮஦఍ࡢ
ฟᙇ᪑㈝ࢆᚲせ࡜ࡋ࡞࠿ࡗࡓࡇ࡜ࡸ㸪≉ᐃ㈝⏝‽ഛ㈨㔠࡜ࡋ࡚๭ࡾᙜ࡚ࡿ᪂つࡢᅜ㝿ࢩ࣏ࣥࢪ࣒࢘
ࡢᥦ᱌ࡀஈࡋ࠿ࡗࡓࡇ࡜࡞࡝㸪⥘Ώࡾࡢ㐠Ⴀ࡜࡞ࡾࡲࡋࡓ㸬௚᪉㸪Ꮫ఍ࡢ࣮࣒࣮࣍࣌ࢪࡢ᭦᪂ࢆྵ
ࡴ࢖ࣥࢱ࣮ࢿࢵࢺ࡟㛵ࢃࡿண⟬ࢆࢭ࢟ࣗࣜࢸ࢕ࡶ
⪃៖ࡋࡘࡘ኱ࡁࡃィୖࡍࡿᚲせᛶࢆᙉࡃឤࡌࡓᮇ
࡛ࡶ࠶ࡾࡲࡋࡓ㸬Ꮫ఍άືࢆάⓎ࡟㐍ࡵࡿ࡟ࡣ㸪㐺ษ࡞࡜ࡇࢁ࡟
ᝰࡋࡳ࡞ࡃண⟬ࢆࡘࡂ㎸ࡳᏛ఍ࡢ࢟ࣕࢵࢩࣗࣇࣟ
࣮ࢆ኱ࡁࡃࡍࡿࡇ࡜ࡀᚲせ࡛࠶ࡾ㸪ᑗ᮶ⓗ࡟ࡣᤸ࡟཰ࡲࡿ⏬㠃࡟࡚࢜ࣥࢧ࢖ࢺ࡛ࡶ࢜ࣥࣛ࢖࡛ࣥࡶ
㆟ㄽࡀ᫬࡜✵㛫ࢆ㑅ࡪࡇ࡜࡞ࡃ͆ᴦࡋࡵࡿ͇Ꮫ఍
㐠Ⴀࡀ᮶ࡿࡇ࡜ࢆ㢪࠸ࡘࡘ㸪ᮏ఍ࡢࡲࡍࡲࡍࡢⓎᒎࢆᮇᚅࡋ࡚➹ࢆ⨨ࡁ㸦࣮࣮࢟࣎ࢻ࠿ࡽᡭࢆ㞳ࡋ㸧
ࡲࡍ㸬

-1-

J. HTSJ, Vol. 60, No. 252

᪂ᪧ఍㛗ᣵᣜ

➨ 60 ᮇ఍㛗ᑵ௵࡟࠶ࡓࡗ࡚
Inauguration Address as the 60th President᐀ീ 㕲㞝㸦
㸦ᅜ◊㸧⏘ᴗᢏ⾡⥲ྜ◊✲ᡤ㸧
Tetsuo MUNAKATA (National Institute of Advanced Industrial Science and Technology)➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢ୰᪥ 5 ᭶ 26 ᪥࡟㸪࢜ࣥࣛ࢖࡛ࣥ㛤ദࡉࢀࡲࡋࡓᮏᏛ఍ࡢ⥲఍ࡢ༙ࡤࡢ⮫᫬⌮஦఍࡟࠾࠸࡚➨ 60 ᮇ఍㛗ࢆᣏ࿨࠸ࡓࡋ
ࡲࡋࡓ㸬➨ 58 ᮇ࡜➨ 59 ᮇ࡟࠾࠸࡚㸪⥲ົᢸᙜ๪఍
㛗࡜ࡋ࡚ᮏ఍ࡢ㐠Ⴀ࡟㛵ࢃࡗ࡚ࡲ࠸ࡾࡲࡋࡓࡀ㸪఍㛗࡜࠸࠺ࡇ࡜࡛㸪኱ኚྡ㄃࡞ࡇ࡜࡛࠶ࡿ࡜ྠ᫬࡟㈐௵ࡢ㔜኱ࡉࢆឤࡌ࡚࠾ࡾࡲࡍ㸬᪥ᮏఏ⇕Ꮫ఍㸪๓㌟ࡢ᪥ᮏఏ⇕◊✲఍࠿ࡽ 60 ᖺࢆ㏄࠼ࡲࡋࡓ㸬⚾⮬㌟ࡣ 1984 ᖺ㸪ಟኈ 2 ᖺࡢ᫬࡟ධ఍ࡋ㸪ி㒔࡛ࡢఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟ཧຍࡋࡓࡢࡀ
᭱ึ࡛㸪⩣ᖺࡢఏ⇕ࢩ࣏ࣥࢪ࣒࡛࢘᭱ึ࡟Ⓨ⾲ࡋࡲࡋࡓࡀ㸪ఏ⇕ࢩ࣏ࣥࢪ࣒࡛࢘ࡣⴭྡ࡞ඛ⏕ࡀ୍␒๓ࡢᖍ࡟ᗙࡽࢀ㸪ࡊࡗࡃࡤࡽࢇ࡟ᐜ㉧ࡢ࡞࠸ウㄽࢆࡉࢀ࡚࠸ࡓࡇ࡜㸪ࡲࡓ㸪᠓ぶ఍ࡸᙜ᫬㛤ദࡉࢀ࡚࠸ࡓ඲ᅜつᶍ࡛ࡢఏ⇕ࢭ࣑ࢼ࣮࡛ⴭྡ࡞ඛ⏕᪉࡜࠾ヰࡋ࡛ࡁࡓࡇ࡜➼ࢆᛮ࠸ฟࡋࡲࡍ㸬⚾⮬㌟㸪ࡇࡢࡼ࠺࡞่⃭ࢆཷࡅఏ⇕㛵ಀࡢ◊✲ࢆ㐍ࡵࡿࡇ࡜ࡀ࡛ࡁ
ࡲࡋࡓ㸬ࡇࡢࡼ࠺࡟㸪ࡇࢀࡲ࡛ࡢᏛ఍ࡢṔྐࡢ୰࡛㸪ⱝᡭࡀᑐ㠃࡛ⴭྡ࡞ඛ⏕᪉࠿ࡽࡢ㉁␲࡟ᑐᛂࢆࡍ
ࡿ㸪࠶ࡿ࠸ࡣ᠓ㄯࡋ่⃭ࢆཷࡅࡿࡇ࡜ࡣ㸪Ꮫ఍ࡢᣢࡘ୍ࡘࡢ≉ᚩ࡛࠶ࡾ㸪௒ᚋࡢᏛ఍ࡢⓎᒎࡢࡓࡵ࡟ࡶ㔜せ࡜ᛮ࠸ࡲࡍ㸬୍᪉㸪㏆ᖺࡢྎ㢼ࡸ᪂ᆺࢥࣟࢼ࢘࢖ࣝࢫ㸦COVID19㸧ࡢᙳ㡪࡛㸪ఏ⇕ࡢศ㔝࡛㔜せ࡞ᅜෆ఍㆟࡟࡞ࡗ࡚࠸ࡿఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡜᪥ᮏᶵᲔᏛ఍ࡢ⇕ᕤᏛࢥࣥࣇ࢓ࣞࣥࢫ࡟㛵ࡋ࡚ࡣ㸪2 ᖺ๓ࡢ⇕ᕤᏛࢥࣥࣇ
࢓ࣞࣥࢫ 2019㸦ྡྂᒇ㸧࠾ࡼࡧ᫖ᖺࡢఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸦㔠ἑ㸧ࡣ୰Ṇ㸪᫖ᖺࡢ⇕ᕤᏛࢥࣥࣇ࢓ࣞࣥࢫ
2020㸦ᮐᖠ㸧࠾ࡼࡧ௒ᖺࡢఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸦㒆ᒣ㸧ࡣ࢜ࣥࣛ࢖࡛ࣥࡢ㛤ദ࡜࡞ࡾ㸪ᑐ㠃࡛ࡢ஺ὶࡢᶵ఍
ࡀ࡞ࡃ࡞ࡗ࡚࠸ࡲࡍ㸬2 ᭶ 17 ᪥࠿ࡽጞࡲࡗࡓ࣡ࢡ
ࢳࣥ᥋✀ࡀᅜẸ඲ဨ࡟⾜ࡁΏࢀࡤ㸪㏻ᖖࡢᑐ㠃࡛ࡢ఍㆟య࠾ࡼࡧ᠓ぶࡢሙࡀᡠࡿࡶࡢ࡜ᮇᚅࡋ࡚࠸ࡲ
ࡍࡀ㸪ࡇࢀࡲ࡛ࡢ⮬↛⅏ᐖࡸࣃࣥࢹ࣑ࢵࢡࡢ༴ᶵࢆ
㋃ࡲ࠼㸪๓఍㛗ࡢⰼᮧඛ⏕ࢆ୰ᚰ࡟㐍ࡵ࡚ࡁࡓ࢜ࣥ
ࣛ࢖࡛ࣥࡢ఍㆟࡟ࡶ᪂ࡓ࡞ࣀ࢘ࣁ࢘ࡀ⵳✚ࡉࢀ࡚ఏ⇕ 2021 ᖺ 7 ᭶-2-ࡁ࡚࠸ࡲࡍ㸬㏻ᖖࡢ఍㆟య࡟ᡠࡗ࡚ࡶ㸪Ꮫ఍ࢆࡼࡾ
࢔ࢡࢸ࢕ࣈ࡟ࡍࡿࡓࡵ㸪ఱࡽ࠿ࡢ㒔ྜ࡛ฟᙇࡀ㞴ࡋࡃ࡞ࡗࡓ᪉ࡶᐜ᫆࡟ᅜෆ఍㆟➼࡟ฟᖍ࡛ࡁࡿࡼ࠺㸪௒ᚋࡣ఍㆟య࠾ࡼࡧ࢜ࣥࣛ࢖ࣥࡢ 2 ࡘࡢ᪉ἲࢆే
⏝ࡋࡓ㛤ദࡶ⪃࠼ࡿᚲせࡀ࠶ࡿ࠿ࡶࡋࢀࡲࡏࢇ㸬⌧ᅾ㸪ᆅ⌫ ᬮ໬㸪ᑡᏊ㧗㱋໬㸪ྎ㢼ࡸ᪂ᆺࢥࣟ
ࢼ࢘࢖ࣝࢫ࡟௦⾲ࡉࢀࡿ⮬↛⅏ᐖ࣭ࣃࣥࢹ࣑ࢵࢡ➼㸪ᵝࠎ࡞♫఍ㄢ㢟࡟┤㠃ࡋ࡚࠸ࡲࡍ㸬ࡲࡓ㸪Ᏹᐂࡸ῝ᾏ࡜࠸ࡗࡓᴟ㝈⎔ቃ࡛ࡢࢧ࢖࢚ࣥࢫࡶே㛫ࡢάືᅪࢆᗈࡆࡿ㔜せ࡞ㄢ㢟࡛ࡍ㸬ఏ⇕ࡢ◊✲ศ㔝ࡣ㸪Ꮫ఍タ❧ᙜ᫬࡜ẚ࡭ࡿ࡜㸪✵㛫࠾ࡼࡧ᫬㛫ࡢࢫࢣ࣮ࣝ
ࡀ኱ࡁࡃᣑ኱ࡋ࡚ࡁ࡚࠾ࡾ㸪௒ᚋࡶ┈ࠎᗈࡀࡗ࡚࠸
ࡃࡇ࡜ࡣᐜ᫆࡟᝿ീ࡛ࡁࡲࡍ㸬ୖグ࡟ᣲࡆࡓྛ✀ࡢㄢ㢟࡟㛵ࡋ࡚ࡶ㸪ఏ⇕࡜࠸࠺༢⊂ࡢ◊✲⪅㞟ᅋ࠶ࡿ࠸ࡣ᪥ᮏ࡜࠸࠺༢⊂ࡢᅜ࡛ࡣᑐᛂࡀ㞴ࡋࡃ࡚ࡶ㸪௚ศ㔝ࡢ᪉ࡸᅜ㝿ⓗ࡞㐃ᦠࢆ㐍ࡵࡿࡇ࡜࡛♫఍ㄢ㢟ࡢゎỴ࡟⧅ࡀࡿࡇ࡜ࡀᮇᚅ࡛ࡁࡲࡍ㸬ࡲࡓ㸪ᐇ㝿࡟◊✲㛤Ⓨࡋࡓࡶࡢࢆ♫఍ᐇ⿦ࡍࡿࡓࡵ࡟ࡣ௻ᴗ࡜
ࡢ㐃ᦠࡶḞ࠿ࡏࡲࡏࢇ㸬ࡑࡢࡓࡵ㸪Ꮫ఍ࡢᙺ๭࡜ࡋ
࡚㸪␗ศ㔝࣭ᅜ㝿࣭௻ᴗ࡜ࡢ㐃ᦠࢆ῝ࡵࡿࡇ࡜ࡀ㔜せ࡜ᛮࡗ࡚࠸ࡲࡍࡢ࡛㸪఍ဨⓙᵝࡢࡈ༠ຊࢆ࠾㢪࠸࠸ࡓࡋࡲࡍ㸬
Ꮫ఍ࡢ㐠Ⴀ࡟㛵ࡋ࡚ࡣ㸪✀ࠎࡢㅮ⩦఍ࡸጤဨ఍➼ࢆ࢜ࣥࣛ࢖࡛ࣥ㛤ദࡍࡿ㸪ࡇࢀࡲ࡛ᢲ༳࡛ࡢ⏦ㄳࡀᚲせ࡛࠶ࡗࡓࡶࡢࢆ࣓࣮ࣝῧ௜ࡢ PDF ࡛ᑐᛂࡍࡿ㸪➼ࡢᑐᛂࢆ㐍ࡵ࡚࠸ࡁࡲࡍࡢ࡛㸪࠾Ẽ௜ࡁࡢⅬࡀ࠶ࢀࡤࡈ㐃⤡ࡃࡔࡉ࠸㸬᭱ᚋ࡟㸪⚾⮬㌟㸪ࡇࡢ 3 ᭶࡟㑏ᬺࢆ㏄࠼ࡲࡋࡓ㸬ࡑࡢᖺ࡟㑏ᬺࡢᏛ఍ࡢ఍㛗ࢆົࡵ㸪᭦࡟㸪ᮏ᮶࡛࠶ࢀࡤ௒ᖺࡢఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢ఍ሙࡀ⚟ᓥ┴㒆ᒣᕷ࡜࠸࠺⌧ᅾ⚾ࡀົࡵ࡚࠸ࡿ⏘⥲◊ࡢ⚟ᓥ෌⏕ྍ⬟࢚ࢿࣝࢠ࣮◊✲ᡤࡢᡤᅾᆅ࡛࠶ࡿࡇ࡜ࢆ㋃ࡲ࠼
ࡿ࡜ឤ៓῝࠸ࡶࡢࡀ࠶ࡾࡲࡍ㸬ᮾ໭ᆅ༊࡛௝ྎᕷ௨
እ࡟఍ሙタᐃࡉࢀࡓࡢࡣึࡵ࡚࡜ᛮ࠸ࡲࡍࡢ࡛㸪௒ᅇࡢఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟ཧຍ࡛ࡁ࡞࠿ࡗࡓ᪉ࡣ㸪᫝㠀㸪㒆ᒣࡢᆅ࡟ࡶ㊊ࢆᘏࡤࡋ࡚ࡳ࡚ࡃࡔࡉ࠸㸬

J. HTSJ, Vol. 60, No. 252

➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹➨㸳㸷ᮇ㸦௧࿴㸰ᖺᗘ㸧⾲ᙲ㑅⪃ጤဨ఍࠿ࡽࡢሗ࿌
Report from the Award Selection Committee of the Heat Transfer Society of Japan, 2020⾲ᙲ㑅⪃ጤဨ఍ ጤဨ㛗㭯⏣ 㝯἞㸦஑ᕞᕤᴗ኱Ꮫ㸧
Takaharu TSURUTA (Kyushu Institute of Technology)
 e-mail: tsuruta.takaharu393@mail.kyutech.jp       Georg F. DIETZE㸯㸬᪥ᮏఏ⇕Ꮫ఍㈹

        㸦Univeristy of Paris-Saclay㸧       ሯཎ 㝯⿱㸦ᮾி⌮⛉኱Ꮫ㸧ࠕືⓗ⃿ࢀࢆ㥑౑ࡋࡓ⮬Ⓨⓗ࣓ࠗࢽࢫ࢝ࢫ࣭࣏
ࣥࣉ࠘ᶵᵓࡢゎ᫂࡜᭱㐺໬ࠖ➨ 55 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ㅮ₇ㄽᩥ㞟㸪
D232㸪2018
2020 ᖺᗘ㸦௧࿴ 2 ᖺᗘ㸧᪥ᮏఏ⇕Ꮫ఍㈹ Ꮫ⾡㈹㸪ᢏ⾡㈹㸪ዡບ㈹࠾ࡼࡧ㈉⊩㈹ࡢ㑅⪃⤖ᯝ࡟ࡘ࠸࡚ࡈሗ࿌࠸ࡓࡋࡲࡍ㸬➨ 59 ᮇ࡛ࡣ᫖ᖺࡢ 12 ᭶
14 ᪥࡟ᛂເࢆ⥾ࡵษࡾࡲࡋ࡚㸪Ꮫ⾡㈹ 10 ௳㸪ᢏ⾡㈹ 3 ௳㸪ዡບ㈹ 5 ௳ࡢ᥎⸀࣭⮬⸀ࡢᛂເࡀ࠶ࡾ
ࡲࡋࡓ㸬㈉⊩㈹ࡢᛂເࡣ࠶ࡾࡲࡏࢇ࡛ࡋࡓ㸬⥾ࡵษࡾᚋ࡟㑅⪃ጤဨ఍࡟࠾ࡁࡲࡋ࡚ཝṇ࡞ࡿᑂᰝࢆ⾜࠸㸪᭱⤊ⓗ࡟Ꮫ⾡㈹ 2 ௳㸪ᢏ⾡㈹ 1 ௳㸪ዡບ㈹2 ௳ࢆཷ㈹ೃ⿵⪅࡜ࡋ࡚ 4 ᭶ࡢ⌮஦఍࡟᥎⸀࠸ࡓ
ࡋࡲࡋࡓ㸬ྛ㈹ࡢཷ㈹⪅ࡣ௨ୗࡢ࡜࠾ࡾ࡛࠶ࡾࡲ
ࡍ㸬ᤵ㈹ᑐ㇟⪅ࡢᡤᒓࡣ⏦ㄳ᭩࣭᥎⸀᭩ཷ㡿᫬ࡢࡶࡢ࡛࠶ࡾ㸪㡰୙ྠ࣭ᩗ⛠␎࡛グ㍕ࡋ࡚࠸ࡲࡍ㸬
ᤵ㈹ᘧࡣ㸪࢜ࣥࣛ࢖ࣥ㛤ദ࡜࡞ࡾࡲࡋࡓ᪥ᮏఏ
⇕Ꮫ఍➨ 59 ᮇ⥲఍ࡢ௜ᖏ⾜஦࡜ࡋ࡚ᇳࡾ⾜࠸ࡲࡋࡓ㸬ᢏ⾡㈹(Technical Achievement Award of theHeat Transfer Society of Japan)1) ௦⾲◊✲⪅㸸㰻⸨ ♸ኈ㸦㸦ᰴ㸧ࣇࢪࢡࣛ㸧ඹྠ◊✲⪅㸸ᕝཎ ὒྖ㸦㸦ᰴ㸧ࣇࢪࢡࣛ㸧    
Mohammad Shahed Ahamed㸦㸦ᰴ㸧ࣇࢪࢡࣛ㸧      Randeep Singh㸦㸦ᰴ㸧ࣇࢪࢡࣛ㸧      Phan Thanh-Long㸦㸦ᰴ㸧ࣇࢪࢡࣛ㸧    ⴗ㔝 ᫓ಇ㸦㸦ᰴ㸧ࣇࢪࢡࣛ㸧ࠕ㉸ⷧᆺࣄ࣮ࢺࣃ࢖ࣉ㸪࣮࣋ࣃࢳࣕࣥࣂࡢ㛤Ⓨ࡜ࢫ࣐࣮ࢺ࣍ࣥ෭༷ᢏ⾡ࠖ Ꮫ⾡㈹(Scientific Contribution Award of theHeat Transfer Society of Japan)
1) ௦⾲◊✲⪅㸸ᮤ ⛙ᐅ㸦஑ᕞ኱Ꮫ㸧ඹྠ◊✲⪅㸸㧗ᶫ ཌྐ㸦஑ᕞ኱Ꮫ㸧  ᙇ ⯆㸦Ύ⳹኱Ꮫ㸧ࠕ㠀ᐃᖖ࣐ࣛࣥศගἲ࡟ࡼࡿ࣐࢖ࢡ࣭ࣟࢼࣀࢫ
ࢣ࣮ࣝ⇕≀ᛶィ ࠖ➨ 55 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ㅮ₇ㄽᩥ㞟㸪
F211㸪2018ዡບ㈹(Young Researcher Award of the Heat
Transfer Society of Japan)
1) ཷ㈹⪅ྡ㸸⋤ ᣺ⱥ㸦஑ᕞ኱Ꮫ㸧ࠕ Lubrication model for vapor absorption into
hygroscopic liquid desiccant droplets㸦྾‵ᛶᾮ⁲࡬ࡢỈ⵨Ẽ྾཰࡟ᑐࡍࡿ₶⁥ࣔࢹࣝ㸧ࠖ  ➨ 56 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ㅮ₇ㄽᩥ㞟㸪
F124㸪20192) ௦⾲◊✲⪅㸸ୖ㔝 ୍㑻㸦ᮾி⌮⛉኱Ꮫ㸧 ඹྠ◊✲⪅㸸୰ᮧ 㣁㸦ᮾி⌮⛉኱Ꮫ㸧       Farzam ZOUESHTIAGH           㸦Université Lille㸧       Harunori N. YOSHIKAWA   2) ཷ㈹⪅ྡ㸸ᶫᮏ ᑗ᫂㸦៞᠕⩏ሿ኱Ꮫ㸧 ࠕගࣂ࢖࢜ࣉࢩ࣮ࡢࡓࡵࡢ࣑ࣜ㛗ࢫࢺ࣮ࣟࢡษ
ࡾ⣬ᆺ⇕㥑ື MEMS ࢫ࢟ࣕࢼ࣮ࡢ㛤Ⓨࠖ  ➨ 57 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ㅮ₇ㄽᩥ㞟㸪㸦Université Côte d’Azur㸧  Lizhong MU㸦኱㐃⌮ᕤ኱Ꮫ㸧ఏ⇕ 2021 ᖺ 7 ᭶-3-

J. HTSJ, Vol. 60, No. 252

➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹K1428㸪2020㸲㸬ⱝᡭ఍ဨ࡬ࡢ⾲ᙲไᗘ࡟ࡘ࠸࡚

㈉⊩㈹(Contribution Award of the Heat᪥ᮏఏ⇕Ꮫ఍㈹ ዡບ㈹ࡢᑐ㇟ࡣ㸪ࠕཎ๎࡜ࡋ࡚㸪᭱㏆ 2 ᅇࡢ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟࠾࠸࡚ඃ⚽࡞
ㄽᩥࢆⓎ⾲ࡋࡓⱝᡭ◊✲⪅࡛㸪Ⓨ⾲᫬࡟኱Ꮫ㝔⏕㸪ࡲࡓࡣࡇࢀ࡟‽ࡌࡿ⪅㸦኱Ꮫ༞ᴗᚋ 5 ᖺ௨ෆࡢ⪅㸧ࠖ࡜࡞ࡗ࡚࠸ࡲࡍ㸬኱Ꮫ㝔࡟࠾ࡅࡿ◊✲ࢆᑐ㇟࡜ࡋࡓไᗘ࡛ࡍࡢ࡛㸪ࡇࡢᖺᩘไ㝈ࢆ㉺࠼ࡓ᪉࡟ࡣ AUTSE ࡢ YSA㸦Young Scientist Award㸧࡬ࡢᛂເࢆ࠾່ࡵࡋࡲࡍ㸬㝸ᖺ࡛ࡢເ㞟࡛㸪᮶ᖺࡀࡑࡢ
ᖺ࡟࠶ࡓࡾࡲࡍࡀ㸪ཷ㈹᫬࡟ 35 ṓᮍ‶࡜࠸࠺᮲௳
࡟ຍ࠼㸪Ꮫ఩ྲྀᚓ 5 ᖺ௨ෆ࡛࠶ࡿࡇ࡜ࡀᚲせ࡛ࡍ㸬௒ᅇཷ㈹ࡢ࠶ࡗࡓᩥ㒊⛉Ꮫ┬ࡢⱝᡭ⛉Ꮫ⪅㈹ࡣ
40 ṓᮍ‶࡛ࡍ㸬ྛᖺ㱋ᒙ࡟ᛂࡌ㸪ࡇࢀࡽࡢ⾲ᙲไᗘ࡬ࡢ✚ᴟⓗᛂເࢆᮇᚅ⮴ࡋࡲࡍ㸬

Transfer Society of Japan)
᥎⸀࣭⮬⸀ࡢᛂເࡣ࠶ࡾࡲࡏࢇ࡛ࡋࡓ㸬㸰㸬ྡ㄃఍ဨࡢ㢧ᙲ➨  ᮇ࡛ࡢヱᙜ⪅ࡣ࠾ࡽࢀࡲࡏࢇ࡛ࡋࡓ㸬㸱㸬ᩥ㒊⛉Ꮫ኱⮧⾲ᙲࡢ᥎⸀
௧࿴ 3 ᖺᗘ⛉Ꮫᢏ⾡ศ㔝ࡢᩥ㒊⛉Ꮫ኱⮧⾲ᙲ࡟ࡘ࠸࡚㸪2020 ᖺ 6 ᭶ 19 ᪥⥾ࡵษࡾ࡜ࡋ࡚࣓࣮ࣜ
ࣥࢢࣜࢫࢺ࡟࡚ೃ⿵⪅ࢆ⮬⸀࣭௚⸀࡛ເࡾ㸪ᮏ఍࠿ࡽࡣ⛉Ꮫᢏ⾡㈹ 1 ௳㸪ⱝᡭ⛉Ꮫ⪅㈹ 1 ௳ࢆᩥ㒊⛉Ꮫ┬࡟᥎⸀࠸ࡓࡋࡲࡋࡓ㸬ࡑࡢ⤖ᯝ㸪ḟࡢࡼ࠺࡟ཷ㈹ࡉࢀࡲࡋࡓ㸬㸳㸬ㅰ㎡᪥ᮏఏ⇕Ꮫ఍㈹࡞ࡽࡧ࡟ᩥ㒊⛉Ꮫ኱⮧⾲ᙲࡢ㑅⪃࡟ࡣ㸪ᮏ఍➨ 59 ᮇ⾲ᙲ㑅⪃ጤဨ఍ጤဨࡢⓙᵝࡢከ኱࡞༠ຊࢆ㡬ᡝࡋࡲࡋࡓ㸬ࡲࡓ㸪ເ㞟࡟ᑐࡋ࡚ᮏ఍఍ဨࡢከࡃࡢ᪉ࠎ࠿ࡽ᥎⸀࣭ᛂເࢆ࠸ࡓࡔࡁ
ࡲࡋࡓ㸬ࡇࡢሙࢆ࠾೉ࡾࡋ࡚㸪㛵ಀྛ఩࡟῝ࡃᚚ♩⏦ࡋୖࡆࡲࡍ㸬ⱝᡭ⛉Ꮫ⪅㈹ཷ㈹⪅㸸ᚿ㈡ᣅ☻㸦ᮾி኱Ꮫ㸧ᴗ⦼ྡ㸸ࣇ࢛ࣀࣥ㍺㏦ࢫ࣌ࢡࢺࣝ⌮ㄽࡢᵓ⠏࡜⇕ไᚚ࡟㛵ࡍࡿ◊✲ఏ⇕ 2021 ᖺ 7 ᭶-4-

J. HTSJ, Vol. 60, No. 252

➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹᪥ᮏఏ⇕Ꮫ఍Ꮫ⾡㈹ࢆཷ㈹ࡋ࡚
On Receiving Scientific Contribution Awardof the Heat Transfer Society of Japanᮤ ⛙ᐅ㸪㧗ᶫ ཌྐ㸦஑ᕞ኱Ꮫ㸧㸪ᙇ ⯆㸦Ύ⳹኱Ꮫ㸧
Qin-Yi LI, Koji TAKAHASHI (Kyushu University), Xing ZHANG (Tsinghua University)e-mail: qinyi.li@aero.kyushu-u.ac.jpࡃᨵၿࡍࡿࡶࡢ࡛ࡍ㸬ࡇࡢィ ᡭἲࡣⓎᒎᛶ࡟ᐩࢇ࡛࠸ࡿࡢࡶ≉ᚩ࡛㸪᫬㛫㡿ᇦ࡜࿘Ἴᩘ㡿ᇦࡢ㠀ᐃᖖᡭἲࡀࡑࢀࡒࢀ㛤Ⓨࡉࢀ㸪ヨᩱ࡜ࡍࡿࢼࣀᮦ
ᩱࢆࢃࡊࢃࡊᠱᯫ≧ែ࡟ࡍࡿᚲせࡢ࡞࠸ᇶᯈ࡟᥋
ࡋࡓ≧ែ࡛ࡢࠕࡑࡢሙࠖィ ࡸ✚ᒙࡉࢀࡓ஧ḟඖᮦᩱࡢྛᒙࡈ࡜ࡢ ᗘྠᐃ࡜⏺㠃⇕᢬ᢠࡢ㧗⢭ᗘィ 㸪ࡉࡽ࡟ࡣ࣐࢖ࢡ࣭ࣟࢼࣀ࣡࢖ࣖ༢యྠኈࡢ
⏺㠃⇕᢬ᢠࢆྵࡴ⇕ఏᑟ≉ᛶࡢศᕸࡲ࡛ ࢀࡿᡭἲࡶ㛤Ⓨࡉࢀࡲࡋࡓ㸬㠀ᐃᖖ࣐ࣛࣥศගἲࢆᛂ⏝ࡍࡿࡇ࡜࡛㸪ࢢࣛࣇ࢙ࣥࡢ⇕ᣑᩓ⋡ࢆୡ⏺࡛ึࡵ࡚ ᐃࡋࡓࡾ[3]㸪࣮࢝࣎ࣥࣇ࢓࢖ࣂ࣮༢యྠኈࡢ᥋ゐ⇕᢬ᢠࡢ ᐃ[6]࡟ࡶᡂຌࡋࡲࡋࡓ㸬ᮎ➹࡛ࡣࡈࡊ࠸ࡲࡍࡀ㸪ᮏ◊✲࡟㝿ࡋ࣐ࣛࣥศ
ග࡟ᇶ࡙ࡃィ ࢩࢫࢸ࣒ࡢᵓ⠏࡟㛵ࡋ࡚⏒኱࡞ࡈຓຊࢆ࠸ࡓࡔࡁࡲࡋࡓ஑ᕞ኱Ꮫࡢ㧗⏣ಖஅඛ⏕㸪Ἑ㔝ṇ㐨ඛ⏕㸪⏕⏣❳ஓẶ㸪⚟ᒸ኱Ꮫࡢすᒣ㈗ྐඛ⏕㸪ࢢࣛࣇ࢙ࣥࡢヨᩱᥦ౪࡟㛵ࡋ࡚ከ኱࡞ࡿࡈ༠ ຊ ࢆ ࠸ ࡓ ࡔ ࡁ ࡲ ࡋ ࡓ Ύ ⳹ ኱ Ꮫ ࡢ Yingying
ZHANG ඛ⏕࡜ Kailun XIA Ặ㸪Qunyang LI ඛ⏕࡜Ji ZHANG Ặ㸪ࡑࡋ࡚㸪࡜ࡶ࡟࣮࢝࣎ࣥࣇ࢓࢖ࣂ࣮ࡢィ ࢆ㐍ࡵࡓ◊✲ᐊࡢ༞ᴗ⏕࡛࠶ࡿ∦ୖᏍ㈗Ặ࡟㸪ࡇࡢሙࢆ೉ࡾ࡚࠾♩⏦ࡋୖࡆࡲࡍ㸬ཧ⪃ᩥ⊩[1] Balandin, A. A., Ghosh, S., Bao, W., et al., Nano
Lett., 8 (2008), 902-907.
[2] Cai, W., Moore, A. L., Zhu, Y., et al., Nano
Lett., 10 (2010), 1645-1651.
[3] Li, Q.-Y., Xia, K., Zhang, J., et al., Nanoscale,
9 (2017), 10784í10793.
[4] Li, Q.-Y., Zhang, X., Takahashi, K., Int. J. Heat
Mass Transf., 125 (2018), 1230í1239.
[5] Li, Q.-Y., Takahashi, K., Zhang, X., Int. J. Heat
Mass Transf., 134 (2019), 539-546.
[6] Li, Q.-Y., Katakami, K., Ikuta, T., et al., Carbon,
141 (2019), 92í98.

ࡇࡢࡓࡧ㸪ࠕ◊✲஦ែᐉゝࠖ㸦ฟ඾㸸஑ᕞ኱Ꮫ࣭
㧗⏣ಖஅඛ⏕㸧ࡢ୰㸪࢜ࣥࣛ࢖࡛ࣥ㛤ദࡉࢀࡓ᪥
ᮏఏ⇕Ꮫ఍➨ 59 ᮇ⥲఍࡟࠾࠸࡚㸪2020 ᖺᗘ᪥ᮏఏ⇕Ꮫ఍Ꮫ⾡㈹ࡢᰤ㄃ࢆ࠸ࡓࡔࡁ㸪ㄔ࡟ගᰤ࡟Ꮡ
ࡌࡲࡍ㸬ࡈ᥎⸀࠸ࡓࡔࡁࡲࡋࡓඛ⏕᪉࡜㑅⪃࡟࠶ࡓࡽࢀࡓඛ⏕᪉࡟ᚰ࠿ࡽឤㅰ⏦ࡋୖࡆࡲࡍ㸬
ཷ㈹ࡢᑐ㇟࡜࡞ࡗࡓ◊✲ㄢ㢟ࡣ㸪ࠕ㠀ᐃᖖ࣐ࣛࣥ
ศගἲ࡟ࡼࡿ࣐࢖ࢡ࣭ࣟࢼࣀࢫࢣ࣮ࣝ⇕≀ᛶィ ࡛ࠖࡍ㸬㏆ᖺ㸪࣐࢖ࢡ࣭ࣟࢼࣀᮦᩱࡢ◊✲ࡣ┦ኚࢃࡽࡎάⓎ࡟ࡉࢀ࡚࠸࡚㸪⇕ไᚚཬࡧ⇕㟁ኚ᥮ࢆྵࡴከ
ࡃࡢᛂ⏝ࡀᮇᚅࡉࢀ࡚࠸ࡲࡍ㸬ࡋ࠿ࡋ㸪ࡑࡢホ౯࡟୙ྍḞ࡞࣐࢖ࢡ࣭ࣟࢼࣀࢫࢣ࣮࡛ࣝࡢ⇕≀ᛶࡢỗ⏝ⓗ࡛㧗⢭ᗘ࡞ィ ᢏ⾡ࡣᮍࡔ☜❧࡛ࡁ࡚࠸ࡲࡏࢇ㸬ࡑࡢࡓࡵ㸪࣮࢝࣎ࣥࢼࣀࢳ࣮ࣗࣈࡸࢢࣛࣇ࢙ࣥࢆྵ
ࡴከࡃࡢࢼࣀᮦᩱཬࡧࡑࡢ࢔ࢭࣥࣈࣜࡢ⇕ఏᑟ≉ᛶࡣࡲࡔ᏶඲࡟ࡣゎ᫂ࡉࢀ࡚࠸ࡲࡏࢇ㸬
2008 ᖺ࡟ UC Riverside ࡢ Balandin ࡽ[1]ࡣࢢࣛ
ࣇ࢙ࣥࡢ࣐ࣛࣥศගࡢ ᗘ౫Ꮡᛶࢆ⏝࠸࡚ࢢࣛࣇ
࢙ࣥࡢ⇕ఏᑟ⋡ࢆୡ⏺࡛ึࡵ࡚ィ ࡋࡲࡋࡓ㸬
5300W/(myK)࡜࠸࠺グ㘓ⓗ࡟㧗࠸⇕ఏᑟ⋡ࡀሗ࿌
ࡉࢀࡓ Balandin ࡽࡢㄽᩥ[1]ࡣࡇࢀࡲ࡛࡟࠾ࡼࡑ 1୓ 3 ༓ᅇᘬ⏝ࡉࢀ㸪ከࡃࡢ◊✲⪅ࡀ Balandin ࡽࡢࠕᐃᖖ࣐ࣛࣥศගἲࠖࡢᡭἲ࡟ೌࡗ࡚ḟࠎ࡜⌧ࢀࡿ᪂ࡋ࠸పḟඖᮦᩱࡢ⇕ఏᑟ⋡ィ ࢆ⾜ࡗ࡚࠸ࡲࡍ㸬ࡋ࠿ࡋ㸪Balandin ࡽࡢᐃᖖ࣐ࣛࣥศගἲ࡛ࡣຍ⇕࣮ࣞࢨ࣮ࡢ྾཰⋡ࡀ୙᫂࡞ࡓࡵ࡟ᮏ㉁ⓗ࡟ಙ㢗ᛶࡀప࠸ࡇ࡜ࡀᣦ᦬ࡉࢀ࡚࠸ࡲࡍ㸬UT Austin ࡢ Li
Shi ࢢ࣮ࣝࣉ[2]ࡣヨᩱࡢග྾཰⋡ࢆ ᐃࡋࡲࡋࡓ
ࡀ㸪ㄗᕪࡣ 33%ࡶ࠶ࡾࡲࡋࡓ㸬ࡇࡢග྾཰⋡ࡢၥ㢟࡟ᑐࡋ࡚㸪ᮏ◊✲ㄢ㢟࡛ࡣ࣮ࣞࢨ࣮ࡢ྾཰⋡ࡀᮍ▱࡛࠶ࡗ࡚ࡶ⇕≀ᛶ್ࢆṇ☜࡟ᚓࡽࢀࡿࠕ㠀ᐃᖖ࣐ࠖࣛࣥศගἲ࡜࠸࠺᪂ࡋ
࠸⇕≀ᛶィ ἲࡀ㛤Ⓨࡉࢀࡲࡋࡓ[3][6]㸬ࡇࡢᡭἲࡣ㸪᫬㛫/✵㛫ศゎ⬟࡜ࡋ࡚ 10ns/0.5ȣm ࢆ᭷ࡋ㸪
MEMS ࢭࣥࢧ➼ࡣ୙せ࡛ỗ⏝ᛶࡀ㧗ࡃ㸪ࡑࢀࡲ࡛ࡢ࣐ࣛࣥศග࡟௜ࡁࡲ࡜ࡗࡓಙ㢗ᛶࡢၥ㢟ࢆ኱ࡁఏ⇕ 2021 ᖺ 7 ᭶-5-

J. HTSJ, Vol. 60, No. 252

➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹᪥ᮏఏ⇕Ꮫ఍Ꮫ⾡㈹ࢆཷ㈹ࡋ࡚
On Receiving Scientific Contribution Awardof the Heat Transfer Society of Japanୖ㔝 ୍㑻 Ichiro UENO* (ᮾ⌮኱; Tokyo Univ. Science), ୰ᮧ 㣁 Hayate NAKAMURA (ᮾ⌮኱㝔 (ᙜ᫬); Tokyo Univ.
Science), Farzam ZOUESHTIAGH (Univ. Lille), Harunori N. YOSHIKAWA (Univ. Côte d'Azur), Lizhong MU (Dalian Univ.
Technology), Georg F. DIETZE (Univ. Paris-Saclay), ሯཎ 㝯⿱ Takahiro TSUKAHARA (ᮾ⌮኱; Tokyo Univ. Science)*e-mail: ich@rs.tus.ac.jp

2020 ᖺᗘ᪥ᮏఏ⇕Ꮫ఍Ꮫ⾡㈹ཷ㈹䛻䛒䛯䜚䠈䛚♩䜢⏦䛧ୖ䛢䜛䛸䛸䜒䛻ཷ㈹ෆᐜ䜢䛤⤂௓䛩䜛ᶵ఍䜢䛔䛯䛰䛝䜎䛧䛯䠊䜂䜗䜣䛺䛣䛸䛛䜙ጞ䜎䜚⥅⥆䛧䛶䛝䛯ඹྠ◊✲䛜䛣䛾䜘䛖䛺ᰤ㄃䛒䜛㈹䛻್䛩䜛䛸䛤ホ౯䛔䛯䛰䛔䛯䛣䛸䛿䠈ගᰤ䛷䛒䜛䛸䛸䜒䛻኱ኚᎰ䛧䛟Ꮡ䛨䜎䛩䠊⾲ᙲ㑅⪃ጤဨ఍䜢䛿䛨䜑㛵ಀ⪅䛾䜏䛺䛥䜎䛻ᚰ䜘䜚䛚♩⏦䛧ୖ䛢䜎䛩䠊௒ᅇ䛿䠈䛂ືⓗ⃿䜜䜢㥑౑䛧䛯⮬Ⓨⓗ䛄䝯䝙䝇䜹䝇䞉䝫䞁䝥䛅ᶵᵓ䛾ゎ᫂䛸᭱㐺໬䛃䛻㛵䛩䜛୍㐃䛾◊✲䜢䛤ホ౯䛔䛯䛰䛝䜎䛧䛯䠊2018 ᖺ䛻໭ᾏ㐨䛷㛤ദ䛥䜜䛯➨ 55 ᅇ᪥ᮏఏ⇕䝅䞁䝫䝆䜴䝮䛷䛾ཱྀ㢌Ⓨ⾲䠈䛚䜘䜃䠈䛭䛾๓ᚋ䛾୍㐃䛾ᐇ㦂ⓗ䞉⌮ㄽⓗ䞉ᩘ್ゎᯒⓗ◊✲ᡂᯝ䛜ヱᙜ䛧䜎䛩䠊ᮏ◊✲䛿䠈2011 ᖺ䛻⚟ᓥ῟ᖹ䛥䜣䠄ᮾ⌮኱ ⌮ᕤ䞉ᶵᲔ Ꮫ㒊 4 ᖺ⏕䠄ᙜ᫬䠅䠅䛜⾜䛳䛯ᐇ㦂⤖ᯝ䛜➃⥴䛸䛺䜚䜎䛩䠊ᙼ䛿ᖹ⁥ᇶᯈୖ䜢⃿䜜ᣑ䛜䜛ᾮయ๓⦕㏆ഐ䛸ᇶᯈୖ䛻㟼⨨䛧䛯ᚤᑠ⢏Ꮚ䛸䛾┦஫స⏝䛾ྍ
ど໬䜢㏻䛨䛶䠈ᚤᑠ⢏Ꮚ䛜ᾮ⁲ෆ㒊䛻ᘬ䛝㎸䜎䜜䛯䜚䠈䛭䛾ሙ䛻␃䜎䛳䛯䜚䛩䜛᮲௳䛜Ꮡᅾ䛩䜛䛣䛸䜢ぢฟ䛧䜎䛧䛯䠊⚟ᓥ䛥䜣䛿ྠ኱኱Ꮫ㝔䛻㐍Ꮫᚋ䠈ᮏඹྠ◊✲䝣䝷䞁䝇ഃ௦⾲⪅䛷䛒䜛 Zoueshtiagh 䛾䜒䛸䛻▷ᮇ␃Ꮫ䛧䠈䝯䝙䝇䜹䝇ᙧᡂ㐣⛬䛾ྍど໬ᐇ㦂䜢⾜䛔䜎䛧䛯䠊䛭䛾⤖ᯝ䠈௦⾲ᑍἲ䛜ᩘ ȝm 䛛䜙ᩘⓒ ȝm䛾ᚤᑠᵓ㐀≀䛸䛾┦஫స⏝䜢⤒䛶ᾮ⁲๓⦕㒊䛜ᒁᡤⓗ䛺ຍ㏿䜢ᐇ⌧䛩䜛䛣䛸䜢᫂䜙䛛䛻䛧䜎䛧䛯䠊䛥䜙䛻᪥ẚ㔝ဴஓ䛥䜣䠄ྠ䠈2012-2013 ᖺ䠅䠈ጲ㔝኱ᖿ䛥䜣䠄ྠ䠈2014-2015 ᖺ䠅䛜䛣䛴䛣䛴䛸ᐇ㦂䜢㔜䛽䠈Tanner䛾ἲ๎䛻䛧䛯䛜䛖ᾮ⁲䛾⃿䜜ᣑ䛜䜚䛻ᑐ䛧䝯䝙䝇䜹䝇䛾ᙧᡂ䛜ᾮ⭷๓⦕㒊䛾ᒁᡤⓗຍ㏿䜢ᐇ⌧䛩䜛䛣䛸䜢♧䛧䜎䛧䛯䠊
ඛ⾜◊✲䛾ㄪᰝ䛻䜘䜛䛸䠈ᚤᑠᵓ㐀䝟䝍䞊䞁䜢᪋䛧䛯ᇶᯈୖ䛷䛾⃿䜜ᣑ䛜䜚㐣⛬䜔⃿䜜ᣑ䛜䜚ᙧ≧䛾ไᚚ䜢ᐇ⌧䛩䜛ᐇ㦂ⓗ◊✲䛜Ḣ⡿䜢୰ᚰ䛻⾜䜟䜜䛶䛚䜚䠈ᚤᑠᵓ㐀䛻䜘䜛⾲㠃✚䛾ቑ኱䛻䜘䛳䛶⃿䜜ᣑ䛜䜚䛾Ⓨ㐩䛜ᐇ⌧䛩䜛䛸䛔䛖䜶䝛䝹䜼䞊ㄽⓗ㆟ㄽ䛜୰ᚰ䛸䛺䛳䛶䛔䜎䛧䛯䠊䛭䛣䛷䠈ຊᏛⓗ䛻䛣䛾⌧㇟䜢ᤊ䛘䜘䛖䛸䛔䛖┠ᶆ䜢ᥖ䛢䠈ὶయຊᏛ୙Ᏻᐃᛶ䛾⌮ఏ⇕ 2021 ᖺ 7 ᭶ㄽⓗ◊✲䜢⾜䛳䛶䛔䜛 Yoshikawa 䛜䝏䞊䝮䛻ຍ䜟䜚䜎䛧䛯䠊䜎䛯䠈Mu 䜢 PD 䛸䛧䛶ᮾ⌮኱䛻㏄䛘䠈㏆⸨኱ᆅ䛥䜣䠄ᮾ⌮኱ĺᮾ⌮኱㝔䠈2015-2018 ᖺ䠅䠈ᑠᕝဴஓ 䛥 䜣 䠄 ྠ 䠈 2016-2019 ᖺ 䠅 䛸 䛸 䜒 䛻 ᐇ 㦂 䜢 㔜 䛽 䠈
Reynolds ᩘ䛚䜘䜃 capillary ᩘ䛜䛸䜒䛻 1 䜘䜚඘ศᑠ䛥䛔⃿䜜ᣑ䛜䜚㐣⛬䛜䠈ᚤᑠ⢏Ꮚ䛸䛾┦஫స⏝䛻䜘䛳䛶⏺㠃⛣ື㏿ᗘ䛜ᒁᡤⓗ䛻⣙ 10 ಸ䜒䛾ቑຍ䜢ᐇ⌧䛩䜛䛣䛸䠄Mu et al., J. Fluid Mech. 830, 2017; Mu etal., Colloids Surf. A 555, 2018䠅䜔䠈㐃⥆㓄⨨䛧䛯ᚤᑠᵓ㐀≀⩌䛸䛾┦஫స⏝䛻䜘䜚⏺㠃⛣ື㏿ᗘ䛜ᒁᡤⓗ䛻 100 ಸ௨ୖ䜒䛾ቑຍ䜢ᐇ⌧䛩䜛䛣䛸䜢♧䛧䜎䛧䛯䠄Mu et al., Colloids Surf. A 555, 2018; Mu et al.,Langmuir 35, 2019䠅䠊
ྠ᫬䛻䠈⏺㠃⇕ὶయຊᏛ䛾ᩘ್ゎᯒ䜢⾜䛳䛶䛔䜛Dietze 䛚䜘䜃ሯཎ䛜䝏䞊䝮䛻ຍ䜟䜚䠈஭ୖᖿඔ䛥䜣䠄ྠ䠈2015-2018 ᖺ䠅䛜 Dietze 䛾䜒䛸䛻▷ᮇ␃Ꮫ䛧䛶ᮏ⣔䛾ィ⟬䛾ᇶ♏䜢ᵓ⠏䛧䜎䛧䛯䠊䛭䛾ᚋ䠈୰ᮧ䛜୰ᚰ䛸䛺䛳䛶䠈䝯䝙䝇䜹䝇䛜ᚤᑠᵓ㐀≀䛾ᚋ᪉䛻ᾮయ䜢౪⤥䛩䜛䝫䞁䝥ⓗ䛺ᶵᵓ䜢᭷䛧䛶䛔䜛䛣䛸䠄Nakamura
et al., J. Colloid & Interface Sci. 562, 2020䠅䠈」ᩘ䛾ᚤᑠᵓ㐀≀䛸䛾┦஫స⏝䛾㝿䛻䠈ୖὶഃᵓ㐀≀࿘䜚䛾䝯䝙䝇䜹䝇䛜ᾮయ౪⤥䜢ಁ㐍䛩䜛䛣䛸䠄Nakamura etal., Langmuir 36, 2020䠅䛺䛹䜢᫂䜙䛛䛻䛧䜎䛧䛯䠊䛣䜜䜙 䛾 ◊ ✲ 䛷 䛿 䠈 Zoueshtiagh 䛾 ᡤ ᒓ ኱ Ꮫ 䛛 䜙 Mr.
Frédérick de Miollis䠄2016 ᖺ䠅䠈Mr. Victor Delafosse /Ms. Mélanie Hossein䠄2018 ᖺ䠅䠈Mr. Fabien Corretel /Ms. Chloe Petrykowski䠄2019 ᖺ䠅䜢ᮾ⌮኱䛻㏄䛘䛶
⾜䛔䜎䛧䛯䠊
䛣䜜䜙䛾◊✲䜢㏻䛨䛶䠈ఏ⇕ಁ㐍䠈≉䛻ఏ⇕㠃䜈䛾ຠ⋡ⓗ䛺ᾮయ౪⤥䜈䛾ᛂ⏝䛻␃䜎䜙䛪䠈㍺㏦䞉ሬᕸ䞉཯ᛂ䞉Ὑί➼䛾ᗈ⠊䛺⏘ᴗⓗศ㔝䛷䛾ᛂ⏝䜢┠ᣦ䛧䛶▱ぢ䜢⵳✚䛧䛶䛔䛝䛯䛔䛸⪃䛘䛶䛔䜎䛩䠊
ᮏཷ㈹䛻䛛䛛䜛ᅜ㝿ඹྠ◊✲䛿䠈JSPS-MAEDI䠄௖䠅஧ᅜ㛫஺ὶ஦ᴗ䠄2015-2016 ᖺᗘ䠅䠈⛉◊㈝ᇶ
┙◊✲䠄B䠅䠄19H02083, 2019-2022 ᖺᗘ䠅䠈ᮾி⌮⛉኱Ꮫᅜ㝿ඹྠ◊✲ᨭ᥼㈝䠄2019-2020 ᖺᗘ䠅䛻䜘䜛ຓᡂ䜢ཷ䛡䛶䛔䜎䛩䠊グ䛧䛶ㅰព䜢⾲䛧䜎䛩䠊-6-

J. HTSJ, Vol. 60, No. 252

➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹᪥ᮏఏ⇕Ꮫ఍ᢏ⾡㈹ࢆཷ㈹ࡋ࡚
On Receiving Technical Achievement Awardof the Heat Transfer Society of Japan㰻⸨ ♸ኈ㸪ᕝཎ ὒྖ㸪ࣇ࢓࣭ࣥࢱࣥࣟࣥ㸪ⴗ㔝 ᫓ಇ㸪ࣈࣛࢵࢻ࣮࣭࣮ࣜ࢜㸪㧗ᐑ ᫂ᘯ㸪ࢩ࣭ࣥࣛࣥࢹ࢕࣮ࣉ㸪࢔ࣁ࣓ࢻ࣭ࣔࣁ࣐ࢻ࣭ࢩࣕ࣊ࢵࢻ㸦ओࣇࢪࢡࣛ㸧
Yuji SAITO, Yoji KAWAHARA, Phan THANG-LONG, Harutoshi HAGINO, Bradley ORR,
Akihiro TAKAMIYA, Singh RANDEEP, Ahamed Mohammad SHAHED (Fujikura Ltd.)e-mail: yuji.saito@jp.fujikura.com
ࡇࡢࡓࡧ᪥ᮏఏ⇕Ꮫ఍➨ 59 ᮇᢏ⾡㈹࡜࠸࠺⏤⥴࠶ࡿ㈹ࢆཷ㈹ࡋ㸪㛤Ⓨ⪅୍ྠ㸪ㄔ࡟ྡ㄃࡟ឤࡌ࡚࠾
ࡾࡲࡍ㸬ࡲࡓ㸪⾲ᙲ㑅⪃ጤဨ఍ࡢඛ⏕᪉㸪ᢏ⾡㈹࡟
᥎⸀ࡋ࡚ࡃࢀࡓᙜ♫ࢧ࣮࣐ࣝࢸࢵࢡᑠᕝ๛㒊㛗࡞ࡽࡧ࡟ᛂເࢆ່ࡵ࡚㡬࠸ࡓ㧗ᶫཌྐඛ⏕㸪ᮃ᭶ṇᏕᵝ࡟㸪ࡇࡢ⣬㠃ࢆ࠾೉ࡾࡋ࡚῝ࡃᚚ♩⏦ࡋୖࡆࡲࡍ㸬௒ᅇ㸪ཷ㈹ࡋࡓᢏ⾡࡛࠶ࡿࠕ㉸ⷧᆺࣄ࣮ࢺࣃ࢖
ࣉ࣭࣮࣋ࣃ࣮ࢳࣕࣥࣂ࣮ࡢ㛤Ⓨ࡜ࢫ࣐࣮ࢺ࣍ࣥ෭༷
ᢏ⾡ࠖࡢ㉸ⷧᆺࣄ࣮ࢺࣃ࢖ࣉ࡜࣮࣋ࣃ࣮ࢳࣕࣥࣂ࣮ࡢእほࢆᅗ 1 ࡟♧ࡋࡲࡍ㸬௨ୗ㸪ࡇࢀࡽࡢ〇ရࡢ㛤Ⓨෆᐜ࡟ࡘ࠸࡚⤂௓ࡋࡲࡍ㸬࡟ᅛᐃࡋ CPU ࡢ⇕ࢆ⟂య࡟ᣑᩓࡍࡿࡇ࡜࡟ࡼࡾ෭
༷ࡋ࡚࠸ࡲࡍ㸬ᅗ 3 ࢫ࣐࣮ࢺ࣍ࣥ෭༷⏝ᨺ⇕ᯈᅗ 1 ㉸ⷧᆺࣄ࣮ࢺࣃ࢖ࣉ࡜࣮࣋ࣃ࣮ࢳࣕࣥࣂ࣮ࡢእほ⌧ᅾ㸪ࢫ࣐࣮ࢺ࣍ࣥ࡬ࡢ 5G ㏻ಙ㐺⏝࡟ࡼࡾ㸪Ⓨ⇕㔞ࡀቑຍࡋ࡚࠾ࡾ㸪㉸ⷧᆺ࣮࣋ࣃ࣮ࢳࣕࣥࣂ࣮ࡢ
᥇⏝ࡀぢ㎸ࡲࢀ࡚࠸ࡲࡍ㸬ᅗ 4 ࡟㉸ⷧᆺ࣮࣋ࣃ࣮ࢳ
ࣕࣥࣂ࣮ࡢෆ㒊ᵓ㐀ࡢᴫ␎ࢆ♧ࡋࡲࡍ㸬⵨Ẽ㏻㊰࡜
ᾮ㏻㊰ࢆศࡅࡿࡇ࡜࡟ࡼࡾ㸪సືὶయࡢᚠ⎔࡟ࡼࡿᅽຊᦆኻࢆపῶࡋ࡚࠸ࡲࡍ㸬㉸ⷧᆺࣄ࣮ࢺࣃ࢖ࣉࡣ㸪2013 ᖺ࡟ࢫ࣐࣮ࢺ࣍ࣥࡢ
㧗ᛶ⬟໬࡟క࠸Ⓨ⇕㔞ࡢቑຍࡋࡓ CPU ࡜࣓࢝ࣛ⏝ࢭࣥࢧ࣮ࡢ෭༷࡟᥇⏝ࡉࢀ㸪⌧ᅾ࡛ࡣ㸪ࢫ࣐࣮ࢺ࣍
ࣥࡢ෭༷ᡭẁࡢ୍ࡘ࡜࡞ࡗ࡚࠸ࡲࡍ㸬ᅗ 2 ࡣ㸪࢘࢕ࢵࢡࢆ୰ኸ㒊࡟㓄⨨ࡋ㸪⵨Ẽ㏻㊰ࢆ୧ഃ࡟㓄⨨ࡍࡿᵓ㐀ࢆ♧ࡋ࡚࠾ࡾ㸪ࡇࡢᵓ㐀࡟ࡼࡾ㸪ࣄ࣮ࢺࣃ࢖ࣉ
ෆࡢసືὶయࡢᚠ⎔࡟ࡼࡿᅽຊᦆኻࡢపῶࢆᐇ⌧ࡋ࡚࠸ࡲࡍ㸬ࢫ࣐࣮ࢺ࣍ࣥࡢ෭༷⿦⨨ࡣ㸪ᅗ 3 ࡟♧ࡍࡼ࠺࡟ཌࡉ 0.3㹼0.5mm ࡢࣄ࣮ࢺࣃ࢖ࣉࢆᨺ⇕ᯈ

ᅗ 4 ㉸ⷧᆺ࡭࣮ࣃ࣮ࢳࣕࣥࣂ࣮


ᅗ 2 ㉸ⷧᆺࣄ࣮ࢺࣃ࢖ࣉࡢ᩿㠃ᵓ㐀ఏ⇕ 2021 ᖺ 7 ᭶

௒ᅇࡢᤵ㈹ࡣ㸪㛤Ⓨࢳ࣮࣒ࡢ᭦࡞ࡿࣔࢳ࣮࣋ࢩࣙ
ࣥྥୖ࡜࡞ࡾࡲࡋࡓ㸬௒ᚋ㸪ෆ㒊ᵓ㐀࡞ࡽࡧ࡟࢘࢕
ࢵࢡᵓ㐀ࡢᢏ⾡㛤Ⓨࢆ᭦࡟㐍ࡵ㸪ࡼࡾࢥࣥࣃࢡࢺ࡞
෭༷⿦⨨ࡢ㛤Ⓨ㸪〇ရ໬ࢆ⾜࠸ࡲࡍ㸬ࡇࢀࡽ࡟ࡼࡾ㸪㧗㏿࣭኱ᐜ㔞ࡢࢹ࣮ࢱࢆྲྀࡾᢅ࠺ࣔࣂ࢖ࣝ〇ရࡢ㧗    ᶵ⬟໬࡞ࡽࡧ࡟ࢹ࣮ࢱࢭࣥࢱ࣮ࡢࢧ࣮ࣂ㸪ගࣔࢪࣗ    ࣮ࣝ〇ရࡢ㧗ᛶ⬟໬࡟㈉⊩ࡍࡿᡤᏑ࡛ࡍ㸬

-7-

J. HTSJ, Vol. 60, No. 252

➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹᪥ᮏఏ⇕Ꮫ఍ዡບ㈹ࢆཷ㈹ࡋ࡚
On Receiving Young Researcher Awardof the Heat Transfer Society of Japan⋤ ᣺ⱥ㸦஑ᕞ኱Ꮫ㸧
Zhenying WANG (Kyushu University) e-mail: zhenying.wang@aero.kyushu-u.ac.jp
Prof. Prashant Valluri at University of Edinburgh, who
is an expert in direct numerical simulation ofmultiphase flow. We worked out a general schematicof the mathematical model during his one-month stayat Kyushu. I then visited Edinburgh for half a year andworked full time on the mathematical formulation andprogramming. We were rather pleased to get the initial
results by the end of my visit, and I spent another one
year on repetitive model optimization, case study andexperimental verification. The work was finallypublished in Journal of Fluid Mechanics with highacknowledgement from peer reviewers.
The established model well explains the‘over-spreading’ phenomena by the interplay ofinternal capillary flow, solutal Marangoni flow andthermal Marangoni flow within the droplet. These
complex mechanisms have also been found to induce
diverse dynamics of other binary mixture droplets asreported very recently by peer groups in the world.
The colorful physics within a small droplet enriches
our current knowledge of microfluid mechanics. The
findings also indicate great potentials in thecontactless control of liquid motion and on-chipchemical reaction for the applications of digital
microfluidics, cell sorting, biomedical diagnosis, etc.
From this April, I started working as an assistantprofessor at aerospace propulsion laboratory of
Kyushu University. This high honor from HTSJ is agreat encouragement for me at the kicking-off stage of
my career. I will continue to focus on cutting-edge
research on multiphase thermofluids with the
combination of high-standard experimental design andhigh-quality numerical modelling. I sincerely lookforward to communications and collaborations withyou in common-interest fields in the future.

It’s a great honor to receive the Young ResearcherAward of the Heat Transfer Society of Japan. I’d liketo share this honor with my collaborators andcoauthors who have inspired me, encouraged me, andsupported me in the awarded research. I’d also like toexpress my deep appreciation to my supervisor andmentor in Japan and UK, as well as to the committee
members of HTSJ who have acknowledged thesignificance of the awarded research.
The awarded topic “Lubrication model for vapor
absorption into hygroscopic liquid desiccant droplets㸦⛇䄎㊶䁁䆃ቛቑ㻃均㺦⛇♝቎⺍ሼቮ䇳䅠኿ኤ
ወ㸧” is part of my PhD project under the supervisionof Prof. Yasuyuki Takata at Kyushu University. The
idea originates from the practical demand of
liquid-type absorption systems which has been mymaster’s topic at Tsinghua University. A goodunderstanding of the liquid behaviors is of great
importance for the operation control of the system. At
Kyushu University, I started to explore thefundamental kinetics and the heat and mass transfer ofliquid desiccant droplets in response to different
environmental conditions. We found that thehygroscopic liquid droplets indicate unexpected‘over-spreading’ on hydrophilic substrates, whichcannot be simply explained by the classical Young’s
equation and the Tanner’s law. We reported thisphenomenon in Physical Chemistry Chemical Physics
with detailed theoretical analyses by the force balanceat the contact line and with the precursor film theory,
which was selected as the back cover of the issue.
At the same time, I started to seek for quantitative
answers via accurate numerical simulation. Benefit
from the international platform of I2CNER at Kyushu
University, I got the opportunity to cooperate withఏ⇕ 2021 ᖺ 7 ᭶-8-

J. HTSJ, Vol. 60, No. 252

➨ 33 ᅇ᪥ᮏఏ⇕Ꮫ఍㈹᪥ᮏఏ⇕Ꮫ఍ዡບ㈹ࢆཷ㈹ࡋ࡚
On Receiving Young Researcher Awardof the Heat Transfer Society of Japanᶫᮏ ᑗ᫂㸦ྡྂᒇ኱Ꮫ㸧
Masaaki HASHIMOTO (Nagoya University)e-mail: masaaki.hashimoto@mae.nagoya-u.ac.jpࡇࡢᗘ᪥ᮏఏ⇕Ꮫ఍➨ 59 ᮇ⥲఍࡟࠾ࡁࡲࡋ
࡚㸪኱ኚྡ㄃࠶ࡿ᪥ᮏఏ⇕Ꮫ఍ዡບ㈹ࢆ㈷ࡾࡲࡋ
ࡓࡇ࡜ᚰࡼࡾගᰤ࡟Ꮡࡌࡲࡍ㸬ࡇࡢሙࢆ࠾೉ࡾࡋ
࡚㸪ࡈᣦᑟ㡬࠸ࡓඛ⏕᪉㸪ᚚ᥎ᣲ㸪ᚚ㑅⪃ୗࡉ࠸ࡲࡋࡓඛ⏕᪉࡞ࡽࡧ࡟᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟࡚
ᚚຓゝ㡬࠸ࡓⓙᵝ࡟῝ࡃᚚ♩⏦ࡋୖࡆࡲࡍ㸬
ཷ㈹ᑐ㇟࡛࠶ࡾࡲࡍࠕගࣂ࢖࢜ࣉࢩ࣮ࡢࡓࡵࡢ
࣑ࣜ㛗ࢫࢺ࣮ࣟࢡษࡾ⣬ᆺ⇕㥑ື MEMS ࢫ࢟ࣕࢼ࣮ࡢ㛤Ⓨࠖࡣ㸪⚾ࡀ៞᠕⩏ሿ኱Ꮫ༤ኈㄢ⛬ᅾ⡠᫬࡟⏣ཱྀⰋᗈᩍᤵࡢࡈᣦᑟࡢࡶ࡜༤ኈᏛ఩ㄽᩥࡢ
ࢥ࢔࡜ࡋ࡚ྲྀࡾ⤌ࢇࡔ◊✲࡛࠶ࡾࡲࡍ㸬ගࣂ࢖࢜ࣉࢩ࣮࡜࿧ࡤࢀࡿෆど㙾ୗගᏛ ᐃࢆᛂ⏝ඛ࡜ࡋ࡚㸪పᾘ㈝㟁ຊ࡛࣑ࣜ㛗ࢫࢺ࣮ࣟࢡࢆ㐩ᡂࡍࡿ⇕㥑ື MEMS ࢫ࢟ࣕࢼ࣮ࢆ⊂⮬࡟㛤Ⓨࡋࡲࡋࡓ㸬ࡇࡇ࡛࠸࠺⇕㥑ື MEMS ࢫ࢟ࣕࢼ࣮࡜ࡣ㸪⇕⭾ᙇ⋡ࡀ␗࡞ࡿ 2 ᒙࢼࣀⷧ⭷ࢆࢪ࣮ࣗࣝຍ⇕ࡋࡓ᫬࡟⏕ࡌࡿᶵᲔⓗ࡞ኚᙧࢆ฼⏝ࡋ㸪ࣞࣥࢬࢆ㥑ືࡉࡏࡿ࣐࢖ࢡࣟ࢔ࢡࢳ࢚࣮ࣗࢱ࣮ࡢࡇ࡜࡛ࡍ㸬ࢹࣂ࢖ࢫࢧ࢖ࢬࡀᑠࡉ࠸࡜ࡑࡢศᚓࡽࢀࡿኚ఩ࡶᑠࡉࡃ࡞
ࡿࡓࡵ㸪࣐͆࢖ࢡ͇ࣟ࢔ࢡࢳ࢚࣮ࣗࢱ࣮࡟࡜ࡗ࡚
࣑͇͆ࣜ㛗ࢫࢺ࣮ࣟࢡࡣᮍ㋃ࡢ㡿ᇦ࡛ࡋࡓ㸬ᮏ◊✲ࡣఏ⇕ᕤᏛ࡟❧⬮ࡋ࡚㸪࣑ࣜ㛗ࢫࢺ࣮ࣟࢡ㸪ࡋ࠿ࡶࡑࢀࢆపᾘ㈝㟁ຊ࡛㐩ᡂࡍࡿ⇕㥑ື࣐࢖ࢡࣟ࢔
ࢡࢳ࢚࣮ࣗࢱ࣮ࡢ㛤Ⓨ࡟ᣮᡓࡋࡓࡶࡢ࡛ࡍ㸬
㛤Ⓨ࡟࠶ࡓࡗ࡚ࡣ㸪ヨ⾜㘒ㄗࡋ࡞ࡀࡽタィ࣭స〇࣭ホ౯࡜㐍ࡵ࡚࠸ࡁࡲࡋࡓ㸬タィᙜึ㸪MEMS
ࢧ࢖ࢬ࡛࣑ࣜ㛗ࢫࢺ࣮ࣟࢡ࣭ప㟁ຊ㥑ືࢆ‶ࡓࡍ࢔ࢡࢳ࢚࣮ࣗࢺᙧែࡀ୰ࠎᛮ࠸ࡘࡁࡲࡏࢇ࡛ࡋࡓ㸬࠶ࡿ᪥㸪❧యⓗ࡟ኚᙧࡍࡿษࡾ⣬࢔࣮ࢺࢆぢ࠿ࡅ㸪ࠕࡇࡢษࡾ⣬ࡢࡼ࠺࡟㸪ࢪ࣮ࣗࣝຍ⇕ࢆࢺ࣮ࣜ࢞࡜
ࡋ࡚⇕⭾ᙇᕪ࡟ࡼࡗ࡚⮬❧ࢼࣀⷧ⭷ࡀࣆ࣑ࣛࢵࢻ
≧࡟❧యኚᙧࡍࢀࡤ㸪㛗ࢫࢺ࣮ࣟࢡࢆᚓࡿࡇ࡜ࡀ
࡛ࡁࡑ࠺ࡔ㸬ࡋ࠿ࡶษࡾ⣬⮬❧ࢼࣀⷧ⭷ࡣ㸪⇕ᐜ㔞ࡀᑠࡉࡃ࠿ࡘ⇕᢬ᢠ್ࡶ㧗࠸ࡓࡵ㸪పᾘ㈝㟁ຊ࡛㥑ື࡛ࡁࡿࡢ࡛ࡣ࡞࠸࠿㸬ࠖ࡜╔᝿ࡋࡲࡋࡓ㸬ࡑఏ⇕ 2021 ᖺ 7 ᭶

ᅗ 1 ษࡾ⣬ᆺ⇕㥑ື MEMS ࢫ࢟ࣕࢼࡢᚋ㸪ⷧ⭷ࡢ⇕⭾ᙇ⋡㸪⇕ఏᑟ⋡࡟ຍ࠼㸪ࣖࣥࢢ⋡㸪㝆అᛂຊ࡜࠸ࡗࡓ⇕ⓗ࣭ᶵᲔⓗࣃ࣓࣮ࣛࢱࢆ
⪃៖ࡋ࡚ⷧ⭷ᮦᩱࢆ᥈⣴ࡋ㸪㟁Ẽ̿⇕̿ᶵᲔ㐃ᡂ᭷㝈せ⣲ゎᯒࢆ⏝࠸࡚ࢹࣂ࢖ࢫࢆタィࡋࡲࡋࡓ㸬ពእ࡟ࡶ㸪ࢼࣀ࣭࣐࢖ࢡࣟࢫࢣ࣮ࣝఏ⇕ࡢほⅬ࠿ࡽタィࡉࢀࡓ⇕㥑ື࣐࢖ࢡࣟ࢔ࢡࢳ࢚࣮ࣗࢱ࣮ࡣ
ᑡ࡞ࡃ㸪ࡲࡔࡲࡔ㛤ᣅࡢవᆅࡀ࠶ࡿ࡜ឤࡌࡲࡍ㸬タィࡶࣁ࣮ࢻ࡛ࡋࡓࡀ㸪᭱኱ࡢ㞴㛵ࡣࢹࣂ࢖ࢫస
〇࡛ࡋࡓ㸬ྍື㡿ᇦࡀ඲࡚⮬❧ࢼࣀⷧ⭷࡛ᵓᡂࡉࢀࡓ࢔ࢡࢳ࢚࣮ࣗࢱ࣮ࡣ⌋ࡋࡃ㸪ᚤ⣽ຍᕤⓗ࡟ከᑡ↓⌮ࡀ࠶ࡿᵓ㐀࡛ࡋࡓ㸬᱌ࡢୖ㸪⭾኱࡞᮲௳ࡔࡋࢆせࡋࡲࡋࡓࡀ㸪᭱ᚋ࡟ࡣⷧ⭷ࡢṧ␃ᛂຊࢆไ
ᚚࡍࡿࡇ࡜࡛ࢹࣂ࢖ࢫࢆస〇࡛ࡁࡲࡋࡓ㸬ࡑࡋ࡚㥑ືホ౯ࢆึࡵ࡚⾜ࡗࡓኪ㸪ࡸࡗ࡜ࡢᛮ࠸࡛స〇ࡋࡓ࢔ࢡࢳ࢚࣮ࣗࢱ࣮ࡀື࠸࡚ࡃࢀࡓ▐㛫ࡣ㸪༤ኈㄢ⛬◊✲⏕άࡢ୍␒ࡢࣁ࢖ࣛ࢖ࢺ࡟࡞ࡾࡲࡋࡓ㸬ࡉࡽ࡟ࡣ㸪ࢹࣂ࢖ࢫࡢ㞟୰ᐃᩘࣔࢹࣝࢆᵓ⠏ࡋ㸪㟼ⓗ࣭ືⓗᛂ⟅ࢆゎᯒࡍࡿࡇ࡜࡛⇕ᶵᲔ≉ᛶࢆ᫂ࡽ࠿࡟ࡋࡲࡋࡓ㸬ࡇࢀࡽࡢ㛤Ⓨࢆ㏻ࡌᚓࡽࢀࡓ▱ぢࡣ㸪ḟ࡞ࡿ⇕㥑ືࢼࣀ࣭࣐࢖ࢡ࣐ࣟࢩࣥࡢ㛤Ⓨ࡟⧅ࡀࡿࡶࡢ࡜ಙࡌ࡚࠾ࡾࡲࡍ㸬᭱ᚋ࡟࡞ࡾࡲࡋࡓࡀ㸪௒ᖺ 4 ᭶࠿ࡽ᪥ᮏᏛ⾡᣺⯆఍≉ู◊✲ဨ PD ࡜ࡋ࡚ྡྂᒇ኱Ꮫ࡟ᡤᒓࡋ㸪⮬㌟ࡢ◊✲ࡢᖜࢆᗈࡆࡿ࡭ࡃ᪂ࡓ࡞◊✲㡿ᇦ࡟ᣮᡓࡋ࡚࠾ࡾࡲࡍ㸬ᚤຊ࡞ࡀࡽ௒ᚋ࡜ࡶఏ⇕ᕤᏛࡢ
Ⓨᒎ࡟ᐤ୚࡛ࡁࡿࡼ࠺⢭㐍ࡋ࡚ཧࡾࡲࡍࡢ࡛㸪ࡈᣦᑟࡈ㠴᧡ࡢ࡯࡝ᐅࡋࡃ࠾㢪࠸⏦ࡋୖࡆࡲࡍ㸬-9-

J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢሗ࿌
Report on the 58th National Heat Transfer Symposium of Japanబࠎᮌ ┤ᰤ㸪⏣୰ ୕㑻㸪ᐑᒸ ኱㸦᪥ᮏ኱Ꮫ㸧㸪ᑠᐑ ᩔᶞ㸪ᒸᓥ ῟୍㑻㸪ᗉྖ ⾨ኴ㸪⚄⏣ 㞝㈗㸦ᮾ໭኱Ꮫ㸧㸪ᒸ㒊 Ꮥ⿱㸦ᘯ๓኱Ꮫ㸧㸪㏆⸨ ⩏ᗈ㸦᪥❧࢔࢝ࢹ࣑࣮㸧㸪ᕴ ࿴ஓ㸦ி㒔኱Ꮫ㸧㸪Ἑᮧ ὒ㸦බ❧ㄶゼᮾி⌮⛉኱Ꮫ㸧㸪ᫍ ᮁ㸦ᮾ໭Ꮫ㝔኱Ꮫ㸧㸪ᖹ஭⚽୍㑻㸦ᮾிᕤᴗ኱Ꮫ㸧
Naoe SASAKI, Saburo TANAKA, Futoshi MIYAOKA (Nihon University), Atsuki KOMIYA, Junichiro OKAJIMA, Eita SHOJI,
Yuki KANDA (Tohoku University), Takahiro OKABE (Hirosaki University),
Yoshihiro KONDO (Hitachi Academy Co., Ltd.), Kazuya TATSUMI (Kyoto University),
Hiroshi KAWAMURA (Suwa University of Science), Akira HOSHI (Tohoku Gakuin University),㸯㸬ࢩ࣏ࣥࢪ࣒࢘ᴫせ➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡣ㸪᪥ᮏఏ⇕Ꮫ఍๰❧ 60 ࿘ᖺグᛕ஦ᴗࡢ୍⎔࡜ࡋ࡚㸪5 ᭶ 25 ᪥㸦ⅆ㸧࠿ࡽ 27 ᪥㸦ᮌ㸧࡟㸪ពぢ஺᥮఍ࡶྵࡵ࡚㸪ᚑ᮶ࡢࢩ࣏ࣥࢪ࣒࢘ࡢࢥࣥࢸࣥࢶࢆ᏶඲࡟෌⌧ࡍࡿࡇ࡜ࢆ┠ᶆ࡟㸪࢜ࣥࣛ࢖ࣥ㛤ദࡉࢀࡲࡋࡓ㸬ཧຍⓏ㘓
⪅ᩘࡣ 536 ྡࢆ㸪ㅮ₇ᩘࡣ 278 ௳ࢆᩘ࠼㸪࠸ࡎࢀ
ࡶ๓ᅇ㏻ᖖ㛤ദࡉࢀࡓᚨᓥᕷ࡛ࡢ➨ 56 ᅇࡢሙྜ
㹙ཧຍⓏ㘓⪅ᩘ㸸741 ྡ㸦ᣍᚅ⪅ࢆ㝖ࡃ㸧㸪ㅮ₇ᩘ㸸
370 ௳㹛ࡢ 70㸣ࢆ㉸࠼ࡿᐇ⦼ࡀᚓࡽࢀࡲࡋࡓ㸬௒ᅇ౑⏝ࡉࢀࡓ WEB ࢥ࣑ࣗࢽࢣ࣮ࢩࣙࣥࢶ୍࣮ࣝぴࢆ⾲ 1 ࡟♧ࡋࡲࡍ㸬ࣉࣟࢢ࣒ࣛࡢ≉ᚩ࡟ᛂࡌ࡚㸪ྜィ 4 ✀㢮ࡢࢶ࣮ࣝࡀ㐺ᐅ౑⏝ࡉࢀࡲࡋࡓ㸬ᐇ⾜ጤဨ఍ࡀ㐠Ⴀࡋࡓࢶ࣮ࣝࡣ Zoom ࢙࢘ࣅࢼ࣮
࡜ Remo ࡛ࡋࡓࡀ㸪᪥㡭࠿ࡽ౑࠸័ࢀ࡚࠸ࡿࢶ࣮
ࣝ㸦౛࠼ࡤ㸪Zoom ࣑࣮ࢸ࢕ࣥࢢ㸧࡜㊃ࢆ␗࡟ࡍ
ࡿⅬࡀከࡃ㸪஦๓࡟ヨ⏝ࢆ㔜ࡡ࡚ࡶ࡞࠾㸪ᖖ࡟⥭ᙇឤࢆᣢࡗ࡚㐠⏝ࡍࡿࡇ࡜࡟࡞ࡾࡲࡋࡓ㸬௒ᅇࡢ࢜ࣥࣛ࢖ࣥ㛤ദ㐠Ⴀ᪉ἲ࡜ࡋ࡚ᕤኵࡋࡓ
Ⅼࡣ㸪㐠ႠᣐⅬࢆ 3 ᣐⅬ㸦ᮾ໭኱Ꮫ㸪ᒣᙧ኱Ꮫ࠾
ࡼࡧ᪥ᮏ኱Ꮫ㸧࡟ศᩓࡋࡓࡇ࡜࡛ࡍ㸦⾲ 2㸧㸬ࡑࢀࡣ㸪㏻ᖖࡢ㏻ಙࢺࣛࣈࣝⓎ⏕᫬ࡔࡅ࡛࡞ࡃ㸪⅏ᐖ࡟ࡼࡾᣐⅬ⮬యࡀ౑⏝୙ྍ⬟࡟࡞ࡗࡓሙྜ࡛ࡶࣂ
ࢵࢡ࢔ࢵࣉ࡛ࡁࡿయไࢆ☜ಖࡍࡿࡓࡵ࡛ࡋࡓ㸬ࠕᖹᡂ 23 ᖺ㸦2011 ᖺ㸧ᮾ໭ᆅ᪉ኴᖹὒἈᆅ㟈ࠖࡢవ㟈ࡀ⥆ࡃᮾ໭ᆅ༊࡛ࡢᑐᛂ⟇࡜ࡋ࡚ࡣ༑ศ࡜ࡣ
࠸࠼࡞࠸࠿ࡶࡋࢀࡲࡏࢇࡀ㸪ࡇࡢ᫬Ⅼ࡟࠾࠸࡚ྍ
⬟࡞✲ᴟࡢᑐ⟇ࢆྲྀࡿࡓࡵ࡟ດຊࡋࡓ⤖ᯝ࡛ࡋࡓ㸬᭱ᚋ࡟㸪௒ᚋࡢ⥭ᛴ஦ែ᫬ࡢᑐᛂ࡟㛵ࡍࡿཧ⪃㈨ᩱ࡜ࡋ࡚㸪㛤ദ᪉㔪Ỵᐃࡢ⤒⦋࡜ࡑࡢ㛫࡟Ⓨ⏕ࡋࡓฟ᮶஦ࢆ⡆༢࡟ࡲ࡜ࡵ࡚⾲ 3 ࡟♧ࡋࡲࡍ㸬ᮾ໭ᨭ㒊࡟࠾ࡅࡿ㛤ദೃ⿵ᆅ㸦⚟ᓥ┴㒆ᒣᕷ㸧Ỵᐃఏ⇕ 2021 ᖺ 7 ᭶

⾲ 1 WEB ࢥ࣑ࣗࢽࢣ࣮ࢩࣙࣥࢶ୍࣮ࣝぴ
ࢶ࣮ࣝ
Zoom
࢙࢘ࣅࢼ࣮
Remo

౑⏝ࣉࣟࢢ࣒ࣛ
࣭࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ
୍࣭⯡ࢭࢵࢩࣙࣥ
࣭≉ᐃ᥎㐍◊✲≉ู࣮࣡ࢡࢩࣙࢵࣉ
࣭ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩ࣭ࣙࣥពぢ஺᥮఍

Zoom࣭≉ูㅮ₇࣑࣮ࢸ࢕ࣥࢢ
࣭⏘Ꮫྜྠ஺ὶ఍
Webex
meetings࣭⥲఍⾲ 2 ࢜ࣥࣛ࢖ࣥ㛤ദ㐠⏝ᣐⅬ୍ぴ
㐠⏝ᣐⅬ
ᢸᙜ
ᮾ໭኱Ꮫ
࣭A ᐊ㸪B ᐊ㸪C ᐊ㸪D ᐊ㸪E ᐊ㸦ᐑᇛ┴௝ྎᕷ㸧ᒣᙧ኱Ꮫ࣭F ᐊ㸪G ᐊ㸪J ᐊ㸦ᒣᙧ┴⡿ἑᕷ㸧᪥ᮏ኱Ꮫ࣭H ᐊ㸪I ᐊ㸦⚟ᓥ┴㒆ᒣᕷ㸧 ࣭ពぢ஺᥮఍- 10 -

⾲ 3 ᮏࢩ࣏ࣥࢪ࣒࢘᪉㔪Ỵᐃ࡜ฟ᮶஦ࡢ⤒⦋ᖺ᭶2018 ᖺ 10 ᭶2019 ᖺ 5 ᭶
2019 ᖺ 8 ᭶2020 ᖺ 2 ᭶2020 ᖺ 4 ᭶2020 ᖺ 5 ᭶2020 ᖺ 9 ᭶2020 ᖺ 11 ᭶

2021 ᖺ 2 ᭶⤒⦋㛤ദᆅ㸦⚟ᓥ┴㒆ᒣᕷ㸧ᨭ㒊ෆᐃ
➨ 1 ᱌㹙⚟ᓥ┴⏘ᴗ஺ὶ㤋㸦ㅮ₇఍㸧㸩࣍ࢸࣝࣁ࣐ࢶ㸦ពぢ஺᥮఍㸧㹛ᥦ᱌➨ 2 ᱌ࠕ࣍ࢸࣝࣁ࣐ࢶ㸦ㅮ₇఍㸩ពぢ஺᥮఍㸧ࠖᥦ᱌
WHO ࡟ࡼࡾ COVID-19 ࿨ྡ㛤ദ఍ሙࡢ COVID-19 ᑐᛂ≧ἣሗ࿌ᖺෆࡢᮏ఍⾜஦ࡢ࢜ࣥࣛ࢖ࣥ㛤ദỴᐃࢩ࣏ࣥࢪ࣒࢘࢜ࣥࣛ࢖ࣥ㛤ദண⟬᱌ሗ࿌ᚑ᮶㸩࢜ࣥࣛ࢖ࣥ㛤ദண⟬᱌୪ิሗ࿌
ᮏࢩ࣏ࣥࢪ࣒࢘ࡢ࢜ࣥࣛ࢖ࣥ㛤ദỴᐃ
2011 ᖺᮾ໭ᆅ᪉ኴᖹὒἈᆅ㟈ࡢవ㟈࡜⪃࠼ࡽࢀࡿᆅ㟈ࡀ⚟ᓥ┴Ἀ࡛Ⓨ⏕㸦Ⓨ⏕᪥᫬㸸13 ᪥ 23 ᫬ 07 ศ㸪࣐ࢢࢽࢳ࣮ࣗࢻ㸸
7.3㸪῝ࡉ㸸55km㸪㟈ᗘ㸸6 ᙉ㸧

J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
ࡣ㸪ᐑᇛ┴௝ྎᕷ௨እ࡛ึࡢ㛤ദ࡜࠸࠺ᣮᡓࡢጞ
ࡲࡾ࡛ࡋࡓ㸬୰ሀᆅ᪉㒔ᕷ㸦㒆ᒣᕷ㸧࡛ࡢ㛤ദࢆ᳨ウࡍࡿ୰࡛㸪኱ᆺᒎ♧ሙ㸦⚟ᓥ┴⏘ᴗ஺ὶ㤋㸧ࢆ఍ሙೃ⿵ࡢ୍ࡘ࡜ࡋ᳨࡚ウ࣭ᥦ᱌ࡋࡓ⤒㦂ࡣ㸪୙᥇⏝࡟⤊ࢃࡗࡓࡶࡢࡢ㸪ᣢ⥆ྍ⬟࡞ࢩ࣏ࣥࢪ࢘
࣒㐠Ⴀࢆ⪃࠼ࡿ⤯ዲࡢᶵ఍࡟࡞ࡾࡲࡋࡓ㸬࣍ࢸࣝࣁ࣐ࢶࢆ఍ሙ࡜ᐃࡵ᳨࡚ウࢆ㛤ጞࡋ࡚㛫ࡶ࡞ࡃ㸪
COVID-19 ࡜ྡ௜ࡅࡽࢀࡓ᪂ᆺࢥࣟࢼ࢘࢖ࣝࢫࡢ
ឤᰁᣑ኱ࡀ㢧ⴭ࡟࡞ࡾࡲࡋࡓ㸬ࡇࢀ࡟కࡗ࡚㸪㛤ദ఍ሙ࡛࠶ࡿ࣍ࢸࣝഃࡢ COVID-19 ᑐᛂ≧ἣࡶ㏲ḟ☜ㄆࡍࡿᚲせ࡟㏕ࡽࢀࡲࡋࡓࡀ㸪2020 ᖺ 5 ᭶ࡢẁ㝵࡛࢜ࣥࣛ࢖ࣥ㛤ദࡢྍ⬟ᛶࡀ㧗࠸ࡇ࡜ࡀ㆟ㄽࡉࢀ㸪11 ᭶ࡢ᫬Ⅼ࡛࢜ࣥࣛ࢖ࣥ㛤ദࢆṇᘧỴᐃࡋ࡚࠸ࡓࡔࡅࡓࡇ࡜ࡣ㸪ᮏࢩ࣏ࣥࢪ࣒࢘ࡢ࢜ࣥࣛ࢖
ࣥ㛤ദࢆᡂຌ࡟ᑟ࠸ࡓ᭱ࡶ኱ࡁ࡞せᅉ࡛࠶ࡗࡓ࡜
ឤࡌ࡚࠸ࡲࡍ㸬ⰼᮧ఍㛗ࢆࡣࡌࡵ࡜ࡍࡿ⌮஦఍ࡈ㛵ಀࡢⓙᵝࡢࡈⱥ᩿࡟ឤㅰ⏦ࡋୖࡆࡲࡍ㸬ᮏࢩ࣏ࣥࢪ࣒࢘ࡢ௻⏬❧᱌࠿ࡽ‽ഛẁ㝵࡟࠾࠸࡚ࡣ㸪௨ୖࡢࡼ࠺࡞⣛వ᭤ᢡࡀ࠶ࡾࡲࡋࡓࡀ㸪࢜ࣥࣛ࢖ࣥ㛤ദ࡟ⓗࢆ⤠ࡗ࡚‽ഛࡀ㡰ㄪ࡟㐍ࡴ୰㸪2
᭶ 13 ᪥࡟⚟ᓥ┴Ἀ࡛㟈ᗘ 6 ᙉࡢᆅ㟈ࡀ㉳ࡁࡲࡋࡓ㸬2011 ᖺᮾ໭ᆅ᪉ኴᖹὒἈᆅ㟈ࡢవ㟈࡜ሗ㐨ࡉࢀ㸪つᶍࡣᑠࡉ࠿ࡗࡓࡶࡢࡢ㸪10 ᖺ๓ࡢ኱㟈⅏ࢆᛮ࠸㉳ࡇࡋࡓேࡀᑡ࡞ࡃ࡞࠿ࡗࡓࡣࡎ࡛ࡍ㸬⚟ᓥ┴ෆ࡛ࡣሙᡤ࡟ࡼࡗ࡚⿕ᐖ≧ἣࡀ␗࡞ࡿ࡜࠸࠺≉ᚩࡀ࠺࠿ࡀ࠼ࡲࡋࡓࡀ㸪ᙜึ᱌࡛఍ሙೃ⿵࡜࡞ࡗ࡚࠸
ࡓ⚟ᓥ┴⏘ᴗ஺ὶ㤋ࡸ࣍ࢸࣝࣁ࣐ࢶࡢ⿕ᐖ≧ἣࡣண᝿௨ୖ࡟⏒኱࡛㸪ࡇࡢሗ࿌グࢆᇳ➹ࡋ࡚࠸ࡿ⌧ᅾ࡛ࡶ㸪Ⴀᴗ೵Ṇ≧ែࡀ⥆࠸࡚࠸ࡲࡍ㸬ࢥࣟࢼ⚝ࡣே㛫ࡢດຊࡸ࣡ࢡࢳࣥࡢ㛤Ⓨ࡛஌ࡾ㉺࠼ࡿྍ⬟ᛶࡀ࠶ࡿ࠿ࡶࡋࢀࡲࡏࢇࡀ㸪⮬↛⅏ᐖࡣ✺↛ࡸࡗ࡚ࡁ࡚⏒኱࡞ᙳ㡪ࢆ୚࠼࡚࠸ࡃࡇ࡜ࢆᨵࡵ࡚ᛮ࠸
▱ࡽࡉࢀࡲࡋࡓ㸬ࠕࡶࡋ㸪ࢥࣟࢼ⚝࡟くࢃࢀ࡞࠿ࡗ
ࡓࡽ࣭࣭࣭ࠖ࡜⪃࠼ࡿࡇ࡜ࡶ࠶ࡾࡲࡋࡓࡀ㸪ࠕ࣭࣭࣭ࡑࢀ࡛ࡶ࢜ࣥࣛ࢖ࣥ㛤ദࡀᚲせࡔࡗࡓࠖ࡜࠸࠺⤖ㄽࡀᚓࡽࢀࡿࡇ࡜ࢆᏛࢇࡔࢩ࣏ࣥࢪ࣒࢘ࡔࡗࡓ࡜
ࡶゝ࠼ࡲࡍ㸬
௨ୖ㸪➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢᴫせࢆ㸪࢜ࣥࣛ࢖ࣥ㛤ദ࡟⮳ࡿ⤒⦋ࢆྵࡵ࡚㸪ࡲ࡜ࡵࡉࡏ
࡚࠸ࡓࡔࡁࡲࡋࡓ㸬௨㝆㸪ྛᢸᙜ⪅࡟ࡼࡿሗ࿌ࡀ
♧ࡉࢀࡲࡍࡢ࡛㸪ࡈぴ࠸ࡓࡔࡅࢀࡤᖾ࠸࡛ࡍ㸬ᵝࠎ࡞୙Ᏻࢆᢪ࠼࡞ࡀࡽࡢ‽ഛ࣭㐠Ⴀ࡜࡞ࡾࡲ
ࡋࡓࡀ㸪ཧຍࡉࢀࡓ඲࡚ࡢⓙᵝࡢࡈ⌮ゎ㸪ࡈ༠ຊ࡟ࡼࡾࡲࡋ࡚㸪኱㐣࡞ࡃᡤᮇࡢ┠ᶆࢆ㐩ᡂࡍࡿࡇఏ⇕ 2021 ᖺ 7 ᭶࡜ࡀฟ᮶ࡲࡋࡓ㸬ࡇࡇ࡟㸪ᨵࡵ࡚ឤㅰࡢពࢆ⾲ࡋࡓ࠸࡜⪃࠼ࡲࡍ㸬㸦బࠎᮌ ┤ᰤ㸧㸰㸬࣮࣒࣮࣍࣌ࢪ࣭ཧຍⓏ㘓ᮏࢩ࣏ࣥࢪ࣒࢘࡟㛵ࡍࡿ᝟ሗࡣ㸪࣮࣒࣮࣍࣌ࢪ
㸦http://htsj-conf.org/symp2021/index.html㸧ୖ࡜Ꮫ఍ㄅࡢ఍࿌࡛බ㛤ࡋࡲࡋࡓ㸬࢜ࣥࣛ࢖ࣥ㛤ദ࡟క࠺
୺࡞ኚ᭦Ⅼ࡜ࡋ࡚㸪࢜ࣥࣛ࢖ࣥཧຍ᪉ἲࡸ࢜ࣥࣛ
࢖ࣥཧຍ⏝ࢱ࢖࣒ࢸ࣮ࣈࣝࡢసᡂࢆ⾜࠸ࡲࡋࡓ㸬࢜ࣥࣛ࢖ࣥཧຍ᪉ἲ࡛ࡣ㸪࢜ࣥࣛ࢖ࣥㅮ₇఍ධᐊ᪉ἲࢆࡣࡌࡵ㸪ㅮ₇఍ཧຍ࣐ࢽࣗ࢔ࣝ㸦⫈ㅮ⪅㸪ㅮ₇⪅㸪ᗙ㛗㸧㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩ
ࣙࣥཧຍ࣐ࢽࣗ࢔ࣝ㸪Zoom ࢔ࣉࣜ࢖ࣥࢫࢺ࣮ࣝ
࣐ࢽࣗ࢔ࣝ㸪⏘Ꮫྜྠ஺ὶ఍࣐ࢽࣗ࢔ࣝࢆసᡂࡋ㸪
PDF ࣇ࢓࢖ࣝ࡜ࡋ࡚࣮࣒࣮࣍࣌ࢪୖ࡛බ㛤ࡋࡲࡋࡓ㸬࢜ࣥࣛ࢖ࣥཧຍ⏝ࢱ࢖࣒ࢸ࣮ࣈࣝࡣ㸪㛤ദ᪥ࡢ๓᪥࡟࢔ࢵࣉ࣮ࣟࢻࡋ㸪ཧຍ⪅ࡀ⫈ㅮࡋࡓ࠸ࢭ
ࢵࢩࣙࣥࢆ࣡ࣥࢡࣜࢵࢡ࡛㑅ᢥ࡛ࡁࡿࡼ࠺࡟ࡋࡲ
ࡋࡓ㸬ࡲࡓ㸪ࢩ࣏ࣥࢪ࣒࢘ 2 ᪥┠࡟⾜ࢃࢀࡓ≉ู
ㅮ₇ࡢ࢜ࣥࣛ࢖ࣥ఍ሙ࡬ࡢࣜࣥࢡ㸦Zoom ࠾ࡼࡧYouTube㸧ࢆ࣮࣒࣮࣍࣌ࢪࡢࢺࢵࣉ࣮࣌ࢪ࡟බ㛤ࡋࡲࡋࡓ㸬㟁Ꮚ∧ࡢㅮ₇ㄽᩥ㞟ࡣ㸪⌧ᆅ㛤ദࡢ᫬࡜ྠᵝ࡟࣮࣒࣮࣍࣌ࢪୖ࡛஦๓࡟බ㛤ࡋ㸪ཧຍ⪅ࡀྛ⮬ࢲ࣮࢘ࣥࣟࢻࡋ㜀ぴ࡛ࡁࡿࡼ࠺࡟ࡋࡲࡋࡓ㸬㜀ぴ࡟
ᚲせ࡜࡞ࡿ ID ࡜ࣃࢫ࣮࣡ࢻࡣ㸪ࠕ࢜ࣥࣛ࢖ࣥཧຍ
⏝ࢱ࢖࣒ࢸ࣮ࣈࣝࠖ࡜ྠᵝ࡟㸪ཧຍⓏ㘓⪅ᐄ࡚࡟
஦๓࡟㏦௜ࡋࡲࡋࡓ㸬ࡓࡔࡋ㸪ࢩ࣏ࣥࢪ࣒࢘┤๓ࡸᮇ㛫୰࡟ ID ࡸࣃࢫ࣮࣡ࢻࡀグ㍕ࡉࢀࡓ࣓࣮ࣝ
ࡀᒆ࠸࡚࠸࡞࠸➼ࡢၥ࠸ྜࢃࡏࡀከࡃ࠶ࡗࡓࡓࡵ㸪ࢩ࣏ࣥࢪ࣒࢘ᮇ㛫୰࡟ཧຍ᪉ἲ࠾ࡼࡧㅮ₇ㄽᩥ㞟ࡢࡈ᱌ෆ࡟㛵ࡍࡿ࣓࣮ࣝࢆཧຍ⪅ᐄ࡚࡟෌㏦ࡋࡲࡋࡓ㸬௒ᅇࡢࢩ࣏ࣥࢪ࣒࢘ࡣึࡢ࢜ࣥࣛ࢖ࣥ㛤ദ࡛࠶ࡾࡲࡋࡓࡀ㸪ㅮ₇⏦㎸ࡸཎ✏ᢞ✏㸪ཧຍⓏ㘓㸪⏦㎸᪉ἲ࡟㛵ࡋ࡚ࡣ㸪࡯ࡰᚑ᮶㏻ࡾ࡜ࡋࡲࡋࡓࡢ࡛㸪㐠Ⴀୖ኱ࡁ࡞ၥ㢟ࡣ⏕ࡌࡲࡏࢇ࡛ࡋࡓ㸬ࡓࡔࡋ㸪
ཧຍⓏ㘓᫬࡟㸪࢜ࣥࣛ࢖ࣥពぢ஺᥮఍࡟㣧㣗ࢆకࢃ࡞࠸ཧຍࢆࡈᕼᮃࡢ᪉ࡀ┦ᙜᩘ࠶ࡗࡓࡓࡵ㸪࣮࣒࣮࣍࣌ࢪୖ࡟㸪ࠕࢡࣜࢵࢡ㸦㣧㣗࡞ࡋ㸧ࠖ࣎ࢱࣥࢆసᡂࡋ㸪ࡈせᮃ࡟ᑐᛂࡋࡲࡋࡓ㸬ࡲࡓ㸪௻ᴗ࠿ࡽࡢཧຍ⪅ࡢ᪉ࠎ࠿ࡽ㸪ཧຍ㈝ᨭᡶ࠸࡟㛵ࡍࡿࡈせᮃࢆᩘከࡃ㡬ࡁࡲࡋࡓ㸬௒ᚋࡢࢩ࣏ࣥࢪ࣒࢘ࡢ

- 11 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
෇⁥࡞㐠Ⴀࡸ௻ᴗ࠿ࡽࡢཧຍ⪅ࡢࡈᕼᮃ࡟ἢ࠺ࡓ
ࡵ࡟ࡶ㸪㡬࠸ࡓࡈせᮃࢆࡲ࡜ࡵࡓୖ࡛௒ᚋࡢࢩࣥ
࣏ࢪ࣒࢘ࡢཧຍⓏ㘓᫬ࡢὀព᭩ࡁ➼࡟཯ᫎࡍࡿᚲ
せࡀ࠶ࡿ࡜ឤࡌࡲࡋࡓ㸬 ᭱ᚋ࡟㸪ึࡢ࢜ࣥࣛ࢖ࣥ㛤ദ࡜࠸࠺ࡇ࡜ࡶ࠶ࡾ㸪࣮࣒࣮࣍࣌ࢪ࡟㛵ࡋ࡚ࡶึࡢヨࡳࡀከ࠿ࡗࡓ࡜ᛮ
࠸ࡲࡍ㸬࢜ࣥࣛ࢖ࣥ఍ሙ࡬ࡢධᐊࢆྵࡵ࡯ࡰ඲࡚
ࡢᡭ⥆ࡁࡀ㸪࣮࣒࣮࣍࣌ࢪࢆ௓ࡋ࡚⾜ࢃࢀࡓࡇ࡜
ࢆ⪃࠼ࡿ࡜㸪ᮏࢩ࣏ࣥࢪ࣒࢘࡟࠾ࡅࡿ࣮࣒࣮࣍࣌
ࢪࡢᙺ๭ࡣ⌧ᆅ㛤ദࡢ᫬ࡼࡾࡶ㔜せ࡛࠶ࡗࡓ࡜⪃࠼࡚࠾ࡾࡲࡍ㸬ᵝࠎ࡞ඛ⏕᪉࠿ࡽከࡃࡢ᭷┈࡞ࡈຓゝࢆ㡬࠸ࡓ࠾࠿ࡆ࡛㸪ᴗົࢆ඲࠺࡛ࡁࡓ࡜⪃࠼࡚࠾ࡾࡲࡍ㸬ࡇࡢሙࢆ೉ࡾ࡚ᚚ♩⏦ࡋୖࡆࡲࡍ㸬㸦ᒸ㒊 Ꮥ⿱㸪ᐑᒸ ኱㸪⏣୰ ୕㑻㸧㸱㸬ࣉࣟࢢ࣒ࣛ
ᮏࢩ࣏ࣥࢪ࣒࢘ࡢⓎ⾲⏦㎸௳ᩘ㸦୍⯡ࢭࢵࢩࣙࣥ㸪࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ㸪ඃ⚽ࣉࣞࢮࣥࢸ
࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ㸧ࡣ 278 ௳࡛㸪➨ 57 ᅇࡢ㔠ἑ㸦344 ௳㸧ࡸ➨ 56 ᅇࡢᚨᓥ㸦370 ௳㸧࡜ẚ㍑ࡋ
࡚ 8 ๭⛬ᗘ࡜࡞ࡾࡲࡋࡓ㸬࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥࡣ㸪ࠕỈ⣲࣭⇞ᩱ㟁ụ࣭஧ḟ㟁ụࠖ㸪ࠕ⇞↝ఏ⇕◊✲ࡢ᭱๓⥺ࠖ㸪ࠕ஘ὶࢆక࠺ఏ⇕◊✲ࡢ㐍ᒎࠖ㸪ࠕࡩࡃᑕ㍺㏦࡜ࡩࡃᑕᛶ㉁ࠖ㸪ࠕ⇕࢚ࢿࣝࢠ࣮ᮦᩱ࣭ࢩࢫࢸ࣒ࡢࡓࡵࡢ⇕࣭≀㉁㍺㏦ಁ㐍ࠖ㸪ࠕ໬Ꮫࣉࣟࢭࢫ࡟࠾ࡅࡿ⇕ᕤᏛࠖ㸪ࠕே࡜⇕࡜ࡢ㛵ࢃࡾࡢ㊊㊧ࠖ㸪ࠕᮾ໭ᆅ༊௻ᴗ࡟ࡼ
ࡿ㒊ရ㛤Ⓨ࣭ᢏ⾡㛤Ⓨࡢ⤂௓ࠖ࡬㸪95 ௳ࡢⓎ⾲ࡀᐤࡏࡽࢀࡲࡋࡓ㸬๓ᅇ࡟ᘬࡁ⥆ࡁ㸪ࠕᇶㄪㅮ₇ࠖࢆ
௻⏬ࡋ࡚㡬࠸ࡓ࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥࡶࡈࡊ
࠸ࡲࡋࡓ㸬ࡈᑾຊ࠸ࡓࡔࡁࡲࡋࡓ࣮࢜࢞ࢼ࢖ࢨ࣮
ࡢⓙᵝ࡟ࡣᨵࡵ࡚ឤㅰ⏦ࡋୖࡆࡲࡍ㸬ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ࡟ࡣ 38
௳ࡢㅮ₇ࡀᐤࡏࡽࢀࡲࡋࡓ㸬ࡈᑾຊ࠸ࡓࡔࡁࡲࡋ
ࡓᏛ⏕఍ጤဨ఍ࡢⓙᵝ࡟ឤㅰ⏦ࡋୖࡆࡲࡍ㸬࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ࠾ࡼࡧඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ࡟ࡘ࠸࡚ࡣ㸪࣮࢜࢞ࢼ࢖
ࢨ࣮࠾ࡼࡧᏛ⏕఍ጤဨ఍࡟ࣉࣟࢢ࣒ࣛ⦅ᡂࢆ࠾௵
ࡏࡋ㸪ᐇ⾜ጤဨ఍࡛ࡣ୍⯡ࢭࢵࢩࣙࣥࡢࣉࣟࢢࣛ
࣒⦅ᡂࢆ⾜࠸ࡲࡋࡓ㸬ྛࢭࢵࢩࣙࣥࡢᗙ㛗㑅ฟ࡟㝿ࡋࡲࡋ࡚ࡣ㸪ከࡃࡢⓙᵝ࡟ࡈ༠ຊ࠸ࡓࡔࡁࡲࡋ
ࡓ㸬ࡈከ⏝୰ࡢ࡜ࡇࢁᗙ㛗ࢆ࠾ᘬࡁཷࡅࡃࡔࡉ࠸
ࡲࡋࡓⓙᵝ࡟ࡣཌࡃ࠾♩⏦ࡋୖࡆࡲࡍ㸬㸦ᒸᓥ ῟அ௓㸪ᗉྖ ⾨ኴ㸪⚄⏣ 㞝㈗㸧

ఏ⇕ 2021 ᖺ 7 ᭶

㸲㸬ㅮ₇ㄽᩥ㞟࣭ࣉࣟࢢ࣒ࣛ෉Ꮚ
௒ᅇࡢࢩ࣏ࣥࢪ࣒࢘ࡢㅮ₇ㄽᩥ㞟ࡣ CD-ROM∧ࢆ㸪ࣉࣟࢢ࣒ࣛ෉Ꮚࡣ౛ᖺ㏻ࡾ⣬፹యࢆస〇ࡋࡲࡋࡓ㸬ㅮ₇ㄽᩥ㞟ࡣ఍ဨྥࡅ࡟බ㛤ࡉࢀࡓ Web∧࡜ྠᵓᡂ࡜࡞ࡗ࡚࠾ࡾ㸪ࢱ࢖࣒ࢸ࣮ࣈࣝ㸪ࣉࣟࢢ࣒ࣛ㸪⣴ᘬ㸪௻ᴗᗈ࿌ࢆᥖ㍕ࡋࡲࡋࡓ㸬స〇࡟࠶ࡓࡾ㸪ࣉࣟࢢ࣒ࣛ⦅ᡂ㸪ᮏ㒊ࢩࢫࢸ࣒⟶⌮ࡢඛ⏕࡟ࡣከ኱࡞ࡈ༠ຊࢆ࠸ࡓࡔࡁࡲࡋࡓ㸬ࡇࡢሙࢆ೉ࡾ࡚ᚚ♩⏦ࡋୖࡆࡲࡍ㸬㸦⏣୰ ୕㑻㸧
㸳㸬఍ሙ௒ᅇࡢࢩ࣏ࣥࢪ࣒࢘ࡣ㸪ᙜึ㸪㒆ᒣࡢ࣍ࢸࣝࣁ
࣐ࢶ࡛ࡢ⌧ᆅ㛤ദࢆணᐃࡋ࡚࠾ࡾࡲࡋࡓࡀ㸪᪂ᆺࢥࣟࢼ࢘࢖ࣝࢫឤᰁ⑕ࡢ≧ἣࢆ㚷ࡳ㸪࢜ࣥࣛ࢖ࣥ
࡛ࡢ㛤ദ࡜࡞ࡾࡲࡋࡓ㸬㛤ദ࡟ࡣ Zoom ࢙࢘ࣅࢼ࣮ࢆ౑⏝ࡋࡲࡋࡓ㸬ㅮ₇ᐊ࡜ࡋ࡚ 10 ᐊࢆ⏝ពࡋ㸪ࡑࢀࡒࢀᮾ໭኱Ꮫࡀ 5 ᐊ㸪ᒣᙧ኱Ꮫࡀ 3 ᐊ㸪᪥ᮏ
኱Ꮫࡀ 2 ᐊ㸪⟶⌮ࢆᢸᙜࡋࡲࡋࡓ㸬ࡲࡓ㸪᪥ᮏఏ⇕Ꮫ఍๰❧ 60 ࿘ᖺグᛕ≉ูㅮ₇఍ࡣ Zoom ࣑࣮ࢸ࢕ࣥࢢ࡜ྠ᫬࡟ YouTube ࡛ࡢ㓄ಙࢆ⾜࠸ࡲࡋࡓ㸬᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡜ࡋ࡚㸪ึࡵ࡚ࡢ࢜ࣥࣛ
࢖ࣥ㛤ദ࡜࠸࠺ࡇ࡜ࡶ࠶ࡾ㸪࢜ࣥࣛ࢖ࣥㅮ₇఍ධᐊ᪉ἲ㸪ㅮ₇఍ཧຍ࣐ࢽࣗ࢔ࣝ㸪⫈ㅮ⪅࣭ㅮ₇⪅࣭ᗙ㛗࣐ࢽࣗ࢔ࣝ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵ
ࢩࣙࣥཧຍ࣐ࢽࣗ࢔ࣝ㸪Zoom ࢔ࣉࣜ࢖ࣥࢫࢺ࣮
࣐ࣝࢽࣗ࢔ࣝࢆᩚഛࡋࡲࡋࡓ㸬Zoom ࢙࢘ࣅࢼ࣮
㛤ദ࡟క࠸㸪ᗙ㛗ࢆࡈᢸᙜ࠸ࡓࡔࡁࡲࡋࡓඛ⏕࡟ࠕⓎゝࡢチྍࠖ࡞࡝✀ࠎࡢ᧯సࢆ࠾㢪࠸ࡋ㸪ࡈ༠ຊ࠸ࡓࡔࡁࡲࡋࡓ㸬ࡇࡢሙࢆ೉ࡾ࡚ᚚ♩⏦ࡋୖࡆࡲࡍ㸬ࡲࡓ㸪࣐ࢽࣗ࢔ࣝ࡜␗࡞ࡾ㸪ྡ๓ࡢኚ᭦ࡀ࡛
ࡁ࡞࠸஦౛ࡀሗ࿌ࡉࢀࡲࡋࡓ㸬ࡇࢀࡣ࢔ࣉ࡛ࣜࡣ
ྡ๓ࢆグ᠈ࡍࡿࢧ࢖ࣥ࢖ࣥ᝟ሗࡀṧࡗ࡚࠸ࡿࡇ࡜㸪ࣈࣛ࢘ࢨ࡛ࡣྡ๓ࢆグ᠈ࡍࡿ࢟ࣕࢵࢩࣗࡀṧࡗ࡚࠸ࡿࡇ࡜ࡀཎᅉ࡜⪃࠼ࡽࢀࡲࡍ㸬ཧຍ⪅ࡢⓙᵝ࡟ࡣࡈ㏞ᝨ࠾࠿ࡅࡋࡲࡋࡓ㸬ᙜ᪥㸪Zoom ࢙࢘ࣅࢼ࣮ࡢ⟶⌮㸪᫬ィࡢ⾲♧࡞࡝㸪ከࡃࡢ࢔ࣝࣂ࢖ࢺࡢᏛ⏕࡟ࡈ༠ຊ࠸ࡓࡔࡁࡲ
ࡋࡓ㸬ࡇࡢሙࢆ೉ࡾ࡚ᚚ♩⏦ࡋୖࡆࡲࡍ㸬㸦Ụ┠ ᏹᶞ㸪⚄⏣ 㞝㈗㸧
㸴㸬ᶵჾᒎ♧࣭ᗈ࿌௒ᅇࡢࢩ࣏ࣥࢪ࣒࡛࢘ࡣ㸪᏶඲࢜ࣥࣛ࢖ࣥ㛤ദ࡜࡞ࡗࡓࡓࡵ㸪౛ᖺເ㞟ࡋ࡚࠸ࡿᶵჾᒎ♧ࡣᐇ᪋- 12 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
ࡏࡎ㸪ࣉࣟࢢ࣒ࣛ෉Ꮚ࡬ࡢᗈ࿌ᥖ㍕ࡢࡳࢆເ㞟ࡉࡏ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬௨ୗ࡟ࡈ༠ຊ࠸ࡓࡔ࠸ࡓ௻
ᴗࢆ⤂௓ࡉࡏ࡚࠸ࡓࡔࡁࡲࡍ㸦ᩗ⛠ࡣ┬␎ࡉࡏ࡚࠸ࡓࡔࡁࡲࡋࡓ㸧㸬࣭ᰴᘧ఍♫ࣇ࢓ࣥࢡࢩࣙࢼ࣭ࣝࣇࣝ࢖ࢵࢻ
࣭Maplesoft Japan ᰴᘧ఍♫࣭ࢶࢡࣂࣜ࢝ࢭ࢖࢟ᰴᘧ఍♫௒ᅇࡢࢩ࣏ࣥࢪ࣒࡛࢘ࡣ㸪࢜ࣥࣛ࢖ࣥពぢ஺᥮఍ࡢࣂࢼ࣮࡟ᗈ࿌ࢆᥖ♧ࡋ࡚ཧຍ⪅ࡢ᪉ࠎ࡟ PRࡉࡏ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬ࡈ༠ຊ࠸ࡓࡔ࠸ࡓ௻ᴗࡢ
ⓙᵝ࡟ࡇࡢሙࢆ೉ࡾ࡚ᚚ♩⏦ࡋୖࡆࡲࡍ㸬㸦⏣୰ ୕㑻㸧

ࠕ့ங㢮ࡢయ ㄪ⠇ᶵᵓࠖ୰ᮧ ࿴ᘯ㸦ྡྂᒇ኱㸧ᮏᖺᗘࡢ࣮࣡ࢡࢩࣙࢵࣉࡣ㸪᫖ᖺᗘ᪂ࡓ࡟❧ࡕୖࡀࡾࡲࡋࡓ᥎㐍◊✲ㄢ㢟ࠕ⣽⬊ෆ࡟࠾ࡅࡿ⇕࣭≀⌮ⓗ⎔ቃࠖ
㸦୺ᰝ㸸ᮾி኱ᩍᤵ ⓑᶔ ஢㸧ࡢ◊✲఍࡜ࡋ࡚ࡢ఩⨨࡙ࡅࡶවࡡࡓ࣮࣡ࢡࢩࣙࢵࣉ࡛
࠶ࡾ㸪ୖグ 3 ௳ࡢࡈㅮ₇ࡣᮏ᥎㐍◊✲ㄢ㢟࡟㛵㐃ࡋࡓㅮ₇ෆᐜ࡜࡞ࡗ࡚࠾ࡾࡲࡍ㸬◊✲఍࡜࠸࠺ᛶ㉁ࢆවࡡ࡚࠸ࡿࡇ࡜࠿ࡽ㸪ᗈ࠸Ꮫ⾡ศ㔝࠿ࡽࡢ▱ぢࢆ⤂௓࠸ࡓࡔࡃ࡜࠸࠺どⅬ࡛㸪ఏ⇕Ꮫ఍௨እࡢ
◊✲⪅ࢆᣍ⪸࠸ࡓࡋࡲࡋ࡚࣮࣡ࢡࢩࣙࢵࣉࢆ㛤ദ࠸ࡓࡋࡲࡋࡓ㸬
ㅮ₇ 1 ࡛ࡣ㸪ᱵ⏣ඛ⏕ࡼࡾᇶ♏௦ㅰ࠾ࡼࡧ⇕⏘⏕ࡢ⪃࠼᪉ࡢṔྐⓗ⫼ᬒࡢࡈ⤂௓ࡀෑ㢌࡟࠶ࡾ㸪ࡑࡢᚋ㸪ື≀ࡢ࢚ࢿࣝࢠ࣮௦ㅰ࡜⇕⏘⏕࡟ࡘ࠸࡚ࡢࡈ⤂௓ࡀ࠶ࡾࡲࡋࡓ㸬ື≀࡛ࡣ࢚ࢿࣝࢠ࣮௦ㅰ࡜య ㄪ⠇࣓࢝ࢽࢬ࣒࡟ᐦ᥋࡞㛵㐃ࡀ࠶ࡾ㸪ࡑࢀࢆ⌮ゎࡍࡿ࡟ࡣ⣽⬊ࣞ࣋ࣝ࡟࠾ࡅࡿ ᗘㄪ⠇ᶵᵓࡢゎ᫂ࡀᚲせ࡛࠶ࡿ࡜ࡢᙜヱ◊✲ࡢືྥ࡟ࡘ࠸࡚
ࡶࡈㄝ᫂ࡉࢀࡲࡋࡓ㸬ࡈㅮ₇ᚋ༙࡛ࡣ㸪⣽⬊࡛ࣞ࣋ࣝࡢ⌧ᅾࡢ᭱ඛ➃ࡢ◊✲࡟ࡘ࠸࡚ࡶゐࢀ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬⇕⏘⏕ࡀᚲせ࡜࡞ࡿ⎔ቃ࡛ࡣ㸪⣽⬊࡛ࣞ࣋ࣝࡢ ᗘ㐺ᛂ࣓࢝ࢽࢬ࣒ࡀⓎ⌧ࡍࡿࡇ࡜࡞
࡝ࡢࡈㄝ᫂ࡀ࠶ࡾࡲࡋࡓ㸬
ㅮ₇ 2 ࡛ࡣ㸪ᐩỌඛ⏕ࡼࡾ⏕యࡢ ᗘឤ▱ᶵᵓ࡟ࡘ࠸࡚ࡢ◊✲⤂௓࠾ࡼࡧ⌧ᅾࡢ࣍ࢵࢺࢺࣆࢵࢡ
ࡢࡈ⤂௓ࡀ࠶ࡾࡲࡋࡓ㸬᪂Ꮫ⾡㡿ᇦ◊✲࡜ࡋ࡚ᒎ㛤ࡋ࡚ࡇࡽࢀࡲࡋࡓ◊✲ෆᐜ㸦 ᗘ⏕≀Ꮫ㸧࡟ࡘ࠸࡚ヲ⣽࡞ࡈ⤂௓ࢆ࠸ࡓࡔࡁ㸪≉࡟ TRP ࢳࣕࢿࣝ࡟ࡘ࠸࡚ࡢࡈ⤂௓ࡀ࠶ࡾࡲࡋࡓ㸬⫈ㅮ⪅࡟࡜ࡗ࡚㌟㏆࡞࿡ぬ࡟ࡼࡿ ᗘឤ▱ࢆ౛࡟ࡋࡲࡋ࡚㸪၈㎞Ꮚࡢຠᯝ࡜࣑ࣥࢺࡢຠᯝ࡜࠸ࡗࡓࢃ࠿ࡾࡸࡍ࠸஦
౛ࢆ♧ࡉࢀ࡞ࡀࡽࡈㅮ₇ࢆ࠸ࡓࡔࡁ㸪 ᗘឤཷᛶࡢ࣓࢝ࢽࢬ࣒ࢆ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬
ㅮ₇ 3 ࡛ࡣ㸪୰ᮧඛ⏕ࡼࡾ့ங㢮ࡢయ ㄪ⠇ᶵᵓ࡟ࡘ࠸࡚ࡢ◊✲⤂௓ࡀ࠶ࡾࡲࡋࡓ㸬ఏ⇕Ꮫ఍࡛ࡣಶయ㸦⏕య㸧࡜࿘ᅖ⎔ቃ࡜ࡢఏ⇕࡟╔┠ࡋࡓ◊✲㸪࠾ࡼࡧ⏕య⾲㠃࡜࿘ᅖ࡜ࡢఏ⇕࡟㛵ࡍࡿ◊✲ࡀ㐍ࡵࡽࢀ࡚࠾ࡾࡲࡍࡀ㸪୰ᮧඛ⏕ࡢࡈㅮ₇࡛ࡣ㸪⮬ᚊᛶయ ㄪ⠇ࡸ⾜ືᛶయ ㄪ⠇࡜࠸ࡗࡓ⏕యෆ㒊ࡢఏ⇕࠾ࡼࡧ ᗘ⥔ᣢᶵᵓ࡟↔Ⅼࢆᙜ࡚࡚࠾ࡽ
ࢀ㸪ࡑࢀ࡟㛵ࢃࡿᑠື≀ᐇ㦂➼ࡢ⤖ᯝ➼ࢆࡈ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬࿘ᅖ⎔ቃ࡜⏕య⾲㠃㸪ࡉࡽ࡟ࡣ㸵㸬᪥ᮏఏ⇕Ꮫ఍≉ᐃ᥎㐍◊✲≉ู࣮࣡ࢡࢩࣙࢵࣉ ᮏᏛ఍ࡣ 2011 ᖺ㸦ᖹᡂ 23 ᖺ㸧࡟≉ᐃ᥎㐍◊✲௻⏬ጤဨ఍ࢆタ⨨ࡋ㸪ᮏᏛ఍ࡢศ㔝ࢆ኱ᒁⓗ࡞Ꮫ⾡ࡢ᣺⯆ࡢ୰࡟఩⨨௜ࡅ㸪ࡼࡾᏛ㝿ⓗ࡞◊✲࢔ࢡࢸ࢕ࣅࢸ࢕ࢆ☜ಖࡋ࡞ࡀࡽ㸪♫఍ࡢᮇᚅ࡟ᛂ࠼ࡿ
ࡓࡵࡢ♫఍ⓗㄢ㢟࡜⛉Ꮫᢏ⾡ㄢ㢟㸪࠶ࡿ࠸ࡣᡃࡀ
ᅜࡢ௒ᚋࡢᡂ㛗ศ㔝࡟≉໬ࡋࡓಶูඛ㗦ⓗ࡞◊✲ㄢ㢟ࢆᐈほⓗ࡞᰿ᣐ࡟ᇶ࡙࠸࡚タᐃࡋ㸪άືࢆ㐍ࡵ࡚ࡁ࡚࠾ࡾࡲࡍ㸬ࡇࢀࢆཷࡅ࡚ẖᖺࡢఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟࠾࠸࡚≉ᐃ᥎㐍◊✲≉ู࣮࣡ࢡࢩࣙࢵ
ࣉࢆ㛤ദࡋ࡚࠾ࡾࡲࡍ㸬2020 ᖺᗘ㸦௧࿴ 2 ᖺᗘ㸧ࡣ㸪ࢥࣟࢼ⚝࡟ࡼࡾࢩ࣏ࣥࢪ࣒࢘ࡢ㛤ദ⮬యࡀ୰Ṇ࡜࡞ࡗ࡚ࡋࡲ࠸㸪ࡑࡢ௦᭰࡜ࡋ࡚ 10 ᭶ 8 ᪥ᮏᏛ఍࡟௻⏬㒊఍୺ദࡢ≉ู࢜ࣥࣛ࢖ࣥࢭࢵࢩࣙࣥࢆ
㛤ദ࠸ࡓࡋࡲࡋࡓ㸬ᮏᖺᗘࡣࢩ࣏ࣥࢪ࣒࢘ࡀ
Zoom ࢙࢘ࣅࢼ࣮࡟ࡼࡿ࢜ࣥࣛ࢖࡛ࣥ㛤ദࡉࢀࡓࡇ࡜࠿ࡽ㸪ࡇࢀࡲ࡛࡟ೌ࠸ࡲࡋ࡚ࢩ࣏ࣥࢪ࣒࢘ࡢ
ึ᪥ࡢ༗ᚋ࡟≉ᐃ᥎㐍◊✲≉ู࣮࣡ࢡࢩࣙࢵࣉࡀ
ࣉࣟࢢ࣒ࣛࡉࢀ㸪௨ୗࡢ 3 ௳ࡢㅮ₇ࡀ⾜ࢃࢀࡲࡋࡓ㸬㸦௨ୗ㸪ᩗ⛠␎㸧
ㅮ₇ 1.
ࠕື≀࡟࠾ࡅࡿ࢚ࢿࣝࢠ࣮௦ㅰ࡜⇕⏘⏕ࡢไᚚᶵᵓ࡟㛵ࡍࡿ◊✲ 㹼⏕࿨ࡢ⇕࠿ࡽ௦ㅰ⇕࡬㹼ࠖᱵ⏣ ┾㒓㸦࣍ࣟࣂ࢖࢜ᰴᘧ఍♫㸧
ㅮ₇ 2.
ࠕ ᗘឤཷᛶ TRP ࢳࣕࢿࣝࢆ௓ࡋࡓ ᗘឤ▱ᶵᵓ࡜⏕⌮ⓗព⩏࡟㛵ࡍࡿ◊✲ࠖᐩỌ ┿⍆㸦⮬↛⛉Ꮫ◊✲ᶵᵓ ⏕⌮◊㸧
ㅮ₇ 3.

ఏ⇕ 2021 ᖺ 7 ᭶- 13 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
㡰㸧ࡣ㸪ᮾᡂ࢖࣮ࣅ࣮ᮾ໭㸦ᰴ㸧㸪㸦ᰴ㸧బཎ㸪㸦ᰴ㸧㸪㸦ᰴ㸧࢔ࢫࢱ࣮㸪࢔ࣝࣉࢫ࢔ࣝࣃ࢖ࣥ㸦ᰴ㸧ࡢྜィ4♫࡛ࡍ㸬࢜ࣥࣛ࢖࡛ࣥࡢ㛤ദࡢࡓࡵ㸪㊥㞳ⓗ㸪᫬㛫ⓗไ⣙ࡀ࡞ࡃ࡞ࡾ㸪30ྡᙅࡢ᪉࡟ཧຍ࠸ࡓࡔࡁࡲࡋࡓ㸬⏕య⾲㠃࡜⏕యෆ㒊ࡢఏ⇕࡜࠸࠺୍㐃ࡢఏ⇕ᶵᵓࢆ࢖࣓࣮ࢪࡍࡿࡇ࡜ࡀ࡛ࡁࡿࡈㅮ₇ෆᐜ࡛ࡋࡓ㸬ᮏ࣮࣡ࢡࢩࣙࢵࣉࡣணᐃ࡛ࡣ 2 ᫬㛫༙ࢆィ⏬ࡋ࡚࠾ࡾࡲࡋࡓࡀ㸪࡝ࡢࡈㅮ₇ࡶཧຍ⪅࡟࡜ࡗ࡚኱
ኚ⯆࿡῝࠸ࡶࡢ࡛࠶ࡾ㸪㉁␲ᛂ⟅ࢆྵࡵ㸪3 ᫬㛫ࢆ㉸࠼ࡿ኱┒ἣࡢ࣮࣡ࢡࢩࣙࢵࣉ࡜࡞ࡾࡲࡋࡓ㸬≉ᐃ᥎㐍◊✲௻⏬ጤဨ఍ࢆ௦⾲ࡋ࡚ࡈཧຍ࠸ࡓࡔ
ࡁࡲࡋࡓⓙᵝ࡟ᚚ♩ࢆ⏦ࡋୖࡆࡲࡍ㸬㸦ᑠᐑ ᩔᶞ㸧㸶㸬⏘Ꮫ஺ὶ࢖࣋ࣥࢺ
௻ᴗ఍ဨάືࡢάᛶ໬ཬࡧ⏘Ꮫᐁࡢᇉ᰿ࢆ㉸࠼ࡓ㐃ᦠ࣭༠ຊࢆ┠ᣦࡋ࡚㸪ᮏᖺࡶࢩ࣏ࣥࢪ࣒࢘ࡢึ
᪥༗ᚋ࡟⏘Ꮫྜྠ஺ὶ఍ࢆ㸪஧᪥┠༗๓࡟௻ᴗ≉ูࢭࢵࢩࣙࣥࠕᮾ໭ᆅ༊௻ᴗ࡟ࡼࡿ㒊ရ㛤Ⓨ࣭ᢏ⾡㛤Ⓨࡢ⤂௓ࠖࢆ㛤ദࡋࡲࡋࡓ㸬 ⏘Ꮫྜྠ஺ὶ఍
 ➨52ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘࠿ࡽ㝸ᖺ࡛⾜ࡗ࡚࠸ࡿࡶࡢ࡛㸪ᮏᖺࡣ࢜ࣥࣛ࢖ࣥ㛤ദ࡜࡞ࡾࡲࡋࡓ㸬ᩘศ⛬ᗘࡢࢩ࣮ࣙࢺࣉࣞࢮࣥࢸ࣮ࢩࣙࣥཬࡧࢸ࣮
࣐ࡈ࡜࡟㒊ᒇࢆศࡅࡓ࣏ࢫࢱ࣮ࢭࢵࢩࣙࣥࢆᐇ᪋
ࡋࡲࡋࡓ㸦ᅗ1㸧㸬ࢸ࣮࣐࡟ࡘ࠸࡚ࡣไ㝈ࢆタࡅࡎྛ♫ࡀᚓព࡜ࡍࡿศ㔝࡜ࡋࡲࡋࡓ㸬ࢩ࣮ࣙࢺࣉࣞࢮ
ࣥࢸ࣮ࢩ࡛ࣙࣥࡣྛ♫ᢏ⾡ࡢᴫせࢆཧຍ⪅ࡀຠ⋡ࡼࡃᢕᥱࡀ࡛ࡁ㸪࣏ࢫࢱ࣮ࢭࢵࢩࣙࣥ࡟ࡘ࠸࡚ࡣ㸪࢜ࣥࣛ࢖ࣥࡢ≉㛗ࢆ⏕࠿ࡋࡓྛ㒊ᒇ࡛⾜࠺ࣈࣞ࢖ࢡ࢔࢘ࢺࢭࢵࢩࣙࣥࢆά⏝ࡍࡿࡇ࡜࡛㸪ཧຍ⪅ࡑࢀࡒࢀࡢ῝࠸㆟ㄽ࡟ࡘ࡞ࡀࡾࡲࡋࡓ㸬Ꮫ఍࡛ࡣ㏻ᖖⓎ⾲ࡉࢀࡿࡇ࡜ࡢ࡞࠸ྛ♫ࡢᇶ┙ᢏ⾡ࡸᬑẁࡣ⪺ࡃࡇ࡜ࡢ࡛ࡁ࡞࠸ㄢ㢟ࡸゎỴ⟇ࢆ㆟ㄽࡍࡿࡇ࡜ࡀ࡛
ࡁ㸪ཧຍ⪅ࡢ㛵ᚰࡣ㧗ࡃ㸪άⓎ࡞㆟ㄽࡀ࡞ࡉࢀ㸪┒ἣࡢ࠺ࡕ࡟⤊஢ࡋࡲࡋࡓ㸬 㛤ദ࡟ࡈᑾຊ㡬࠸ࡓฟᒎ⪅ࡢⓙᵝ㸪ࢩ࣏ࣥࢪ࣒࢘
ᐇ⾜ጤဨ఍ࡢඛ⏕᪉࡟῝ࡃឤㅰࡋ㸪ሗ࿌࡜ࡉࡏ࡚㡬ࡁࡲࡍ㸬 ࡈฟᒎ㡬࠸ࡓᅋయ㸦ᩗ⛠␎㸪50㡢㡰㸧㸸㸦ᰴ㸧IHI㸪
㸦ᰴ㸧WELCON㸪㸦ᰴ㸧ࢧ࣮ࣔࢢࣛࣇ࢕ࢸࢡࢫ㸪ࢩ࣮࣓ࣥࢫ㸦ᰴ㸧㸪ኴ㝧㔠⥙㸦ᰴ㸧㸪ྡྂᒇᕷᕤᴗ◊✲ᡤ㸪᪥ᮏ〇㕲㸦ᰴ㸧㸪ࣈࣛࢨ࣮ᕤᴗ㸦ᰴ㸧㸪Ỉ㇂㟁ᶵᕤᴗ㸦ᰴ㸧㸬 ௻ᴗ≉ูࢭࢵࢩࣙࣥ ᫖ᖺ࡟ᘬࡁ⥆ࡁ㛤ദᆅ༊࡞ࡽ࡛ࡣࡢఏ⇕࡟㛵ࡍࡿࡈㅮ₇ࢆ㡬ࡃࢭࢵࢩ࡛ࣙࣥ㸪ᮏᖺࡣᮾ໭ᆅ༊࠿ࡽ
ࡈㅮ₇㡬ࡁࡲࡋࡓ㸬ㅮ₇㡬࠸ࡓ௻ᴗ㸦ᩗ⛠␎㸪ㅮ₇

ఏ⇕ 2021 ᖺ 7 ᭶- 14 -

ᅗ1 ⏘Ꮫྜྠ஺ὶ఍ࡢཧຍ⪅ࢫࢡ࣮ࣜࣥࢩࣙࢵࢺ ᛌࡃࡈㅮ₇ࢆᘬࡁཷࡅ࡚㡬࠸ࡓ௻ᴗࡢ᪉ࠎ࡟῝ࡃឤㅰ⮴ࡋࡲࡍ㸬ࡈㅮ₇ࡢ㢟┠࠾ࡼࡧࡈㅮ₇ࡢ㢼ᬒࡣḟࡢ㏻ࡾ࡛ࡍ㸬(1) 㟁Ꮚࣅ࣮࣒⁐᥋ຍᕤ᫬ࡢㄢ㢟࡟ࡘ࠸࡚Ỉ㔝 ㇏ ᮾᡂ࢖࣮ࣅ࣮ᮾ໭㸦ᰴ㸧(2)ࠗᣢ⥆ྍ⬟࡞࢚ࢿࣝࢠ࣮ࢆ౑⏝ࡋࡓࢳ࣒ࢽ࣮ࣁ
࢘ࢫ࠘ᢏ⾡㛤Ⓨᮌཎ ᐃ฼㸦ᰴ㸧బཎ

J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
(3) ᣦࡍ࡭ࡁ࣮ࣔࢱࡢᅾࡾ᪉ᮏ㒓 Ṋᘏ㸦ᰴ㸧࢔ࢫࢱ࣮(4) ࢧ࣮࣐ࣝࣉࣜࣥࢱࡢືྥ࡜⇕ไᚚᢏ⾡୪ࡧ࡟⏘Ꮫ㐃ᦠᑎᑿ ༤ᖺ ࢔ࣝࣉࢫ࢔ࣝࣃ࢖ࣥ㸦ᰴ㸧 ᮶ᖺ௨㝆ࡶࢩ࣏ࣥࢪ࣒࢘㛤ദᆅ༊ࡢᨭ㒊࡟ࡈ༠ຊࢆ௮ࡂ࡞ࡀࡽ㸪௻ᴗ≉ูࢭࢵࢩࣙࣥࢆ⥅⥆ᐇ᪋ࡍࡿணᐃ࡛ࡍ㸬ḟᅇࡢ≉ูࢭࢵࢩࣙࣥ࡬ࡢⓙᵝࡢࡈཧຍࢆ࠾ᚅࡕࡋ࡚࠾ࡾࡲࡍ㸬㸦⏘Ꮫ஺ὶጤဨ఍ ㏆⸨ ⩏ᗈ㸧㸷㸬ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ
ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹㸦Best Presentation
Award㸸BPA㸧ࢭࢵࢩࣙࣥࡣ㸪28 ṓ௨ୗࡢⱝᡭ◊✲⪅ࡸᏛ⏕ࡢ఍ဨࡀཧຍ⪅࡟◊✲ࢆ⤂௓ࡋ㸪᫬㛫ࢆ࠿ࡅࡓ㆟ㄽ࡜Ⓨ⾲ᢏ⾡࡟☻ࡁࢆ࠿ࡅࡿሙ࡜ࡋ࡚࣏ࢫࢱ࣮Ⓨ⾲ᙧᘧ࡛㛤ദࡋ࡚࠸ࡲࡍ㸬౛ᖺ㸪ࢩ࣏ࣥࢪ࣒࢘ࡢึ᪥ࡢ༗ᚋ࡟⾜ࢃࢀ㸪Ꮫ⏕఍ጤဨ఍࡜
ᐇ⾜ጤဨ఍࡟ࡼࡗ࡚௻⏬࣭㐠Ⴀࡋ࡚࠸ࡲࡍ㸬௒ᅇࡢඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩ࡛ࣙࣥࡣ㸪ఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡀ࢜ࣥࣛ࢖࡛ࣥ㛤ദࡉࢀࡿࡇ࡜ࢆ
ཷࡅ㸪Remo ࢩࢫࢸ࣒㸦https://remo.co/㸧ࢆ⏝࠸࡚
150 ศࡢࢭࢵࢩࣙࣥ᫬㛫࡛㛤ദࡋࡲࡋࡓ㸬ࡇࡢࢩࢫࢸ࣒ࡣ㸪2020 ᖺ 9 ᭶ 28 ᪥࡟⾜ࢃࢀࡓ㸪➨ 57 ᅇఏ⇕ 2021 ᖺ 7 ᭶᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࣭࢘≉ู࢜ࣥࣛ࢖ࣥࢭࢵࢩࣙ
ࣥ࡟࠾ࡅࡿඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹࢜ࣥࣛ࢖ࣥ
ࢭࢵࢩ࡛ࣙࣥࡶ⏝࠸ࡓࡶࡢ࡛ࡍ㸬1 ࡘࡢࣇࣟ࢔࡟
」ᩘࡢࢸ࣮ࣈࣝࡀタ⨨ࡉࢀ㸦ᅗ 2㸧㸪ࢸ࣮ࣈࣝࡈ࡜
࡟ヰࡋྜ࠸ࡸⓎ⾲ࡀ⾜࠼ࡲࡍ㸬ཧຍ⪅ࡣྛࢸ࣮ࣈ
ࣝࢆ⮬⏤࡟⛣ືࡋ࡚Ⓨ⾲ࢆぢ⪺ࡁࡋ㸪ㅮ₇⪅࡜ࡸࡾྲྀࡾࡀ࡛ࡁࡿࡇ࡜࠿ࡽ㸪ᑐ㠃ᘧࡢ࣏ࢫࢱ࣮ࢭࢵ
ࢩࣙࣥ࡟ࡼࡾ㏆࠸㞺ᅖẼࢆసࢀࡲࡍ㸬ࢩࢫࢸ࣒㐠Ⴀ࡜ࡋ࡚ࡣ㸪஦๓࡟ Remo ࢩࢫࢸ࣒࡟⮬⏤࡟ධᐊ࡛ࡁࡿ⦎⩦ᮇ㛫ࢆ㛗ࡃタࡅࡓࡓࡵ࠿㸪ᙜ᪥ࡣ኱ࡁ࡞ၥ㢟ࡣ⏕ࡌࡲࡏࢇ࡛ࡋࡓ㸬๓ᅇࡣ㏻
ಙ㞀ᐖࡀⓎ⏕ࡍࡿㅮ₇⪅࡜ཧຍ⪅ࡶ࠸ࡲࡋࡓࡀ㸪௒ᅇࡣࡑࡢࡼ࠺࡞ヰࡶ࡞ࡃ㸪ࡇࡢ㸯ᖺ㛫࡛࢜ࣥࣛ࢖ࣥ⎔ቃᩚഛࡀ㐍ࢇࡔࡇ࡜ࡶ࠺࠿ࡀ࠼ࡲࡋࡓ㸬୍᪉㸪Remo ࢩࢫࢸ࣒࡛ࡢㄢ㢟ࡣ㸪ཧຍ⪅ࡀ࣐࢖ࢡ࡜࣓࢝ࣛࢆ࢜ࣇ࡟ࡍࡿ࡜⏬㠃࡟⾲♧ࡉࢀ࡞࠸ࡇ࡜
࡛ࡍ㸬ࡇࡢࡓࡵ㸪ཧຍ⪅ࡀ࣍࣡࢖ࢺ࣮࣎ࢻࢆゼࢀ࡚࠸ࡿࡇ࡜࡟Ẽࡀ௜࠿࡞࠸ㅮ₇⪅ࡶከࡃ㸪ㄝ᫂࡜㉁ၥࢆࡍࡿᶵ఍ࢆ㏨ࡋ࡚࠸ࡿࡢࡀṧᛕ࡛ࡋࡓ㸬Ⓨ⾲࡛ࡣ㸪ㅮ₇⪅ࡣ࣍࣡࢖ࢺ࣮࣎ࢻ࡟࣏ࢫࢱ࣮
ࢆ㈞ࡾ௜ࡅ࡚㉁ၥࡸ㆟ㄽࢆ⾜࠺ᙧᘧ࡜ࡋࡲࡋࡓ
㸦ᅗ 3㸧㸬ཧຍ⪅ࡣ࣍࣡࢖ࢺ࣮࣎ࢻ࡟࡚࣏ࢫࢱ࣮ࢆ
⮬⏤࡟ᣑ኱⦰ᑠ࠾ࡼࡧぢࡿሙᡤࢆኚ࠼࡞ࡀࡽ㸪ㅮ
₇⪅ࡢㄝ᫂ࢆ⪺ࡃࡇ࡜ࡀ࡛ࡁࡲࡍ㸬࣏ࢫࢱ࣮ࡢᵝᘧࡣ⣽࠿ࡃタᐃࡏࡎㅮ₇⪅࡛⪃࠼࡚ࡶࡽ࠸ࡲࡋࡓ
ࡀ㸪PDF ࣇ࢓࢖ࣝࡢ࣏ࢫࢱ࣮ࢆ୰ᚰ࡟㸪YouTubeࡸ࢔ࢽ࣓࣮ࢩࣙࣥ GIF ࡢື⏬࠾ࡼࡧ⿵ຓࢫࣛ࢖ࢻ
ࡢᥖ㍕࡞࡝㸪ᕤኵࢆจࡽࡋࡓⓎ⾲ࡀぢࡽࢀࡲࡋࡓ㸬ࡲࡓ㸪◊✲ࢆ⤂௓ࡍࡿ࢔ࣆ࣮ࣝࢫࣛ࢖ࢻ㸦1 ᯛ㸧
ࢆㅮ₇⪅࡟సᡂࡋ࡚ࡶࡽ࠸㸪ࡇࢀࡽࢆࡲ࡜ࡵࡓ࢔
ࣆ࣮ࣝࢫࣛ࢖ࢻ㞟ࡣ㸪ࢩ࣏ࣥࢪ࣒࢘ࡢ࣮࣒࣮࣍࣌
ࢪ࡜ Remo ఍ሙ࡟࡚㓄ᕸࡋ㸪ࡉࡽ࡟ࢩ࣏ࣥࢪ࣒࢘
ึ᪥ࡢྛࢭࢵࢩࣙࣥࡢఇ᠁᫬㛫ࡸ Remo ఍ሙࡢࢫࢡ࣮ࣜࣥ࡟࡚ࢫࣛ࢖ࢻࢩ࣮ࣙ࡜ࡋ࡚ཧຍ⪅࡟᱌ෆࡋࡲࡋࡓ㸬◊✲ෆᐜࡀ୍┠࡛ศ࠿ࡿࡼ࠺࡟㸪ࡲࡓ⯆࿡ࢆᘬࡁ௜ࡅࡽࢀࡿࡼ࠺࡟㸪ᅗ࣭ᩥ࣭ࢹࢨ࢖ࣥ
ࢆࡼࡃ⪃࠼ࡓࢫࣛ࢖ࢻࢆసᡂࡋ࡚࠸ࡲࡋࡓ㸬ㅮ₇⏦㎸ࡣ 39 ௳㸦1 ௳ㅮ₇୰Ṇ㸧࠶ࡾࡲࡋࡓ㸬ࡲࡓ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥ
㸦Remo ఍ሙ㸧࡬ࡢ⥲ཧຍ⪅ᩘࡣ 181 ྡ࡛࠶ࡾ㸪ᖖ
࡟ 100 ྡ㏆࠸ேࡀཧຍࡋ࡚࠸ࡲࡋࡓ㸬ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࡣ㸪ᑂᰝဨ࡟ཝṇ࡟ᑂᰝ࠸ࡓࡔࡁࡲࡋࡓ㸬ࡑࡢ⤖ᯝ㸪ΎỈ཭ᩯ㸦໭ᾏ㐨኱Ꮫ㸧㸪⏣㑔 ᣅ㸦៞᠕⩏ሿ኱Ꮫ㸧㸪ᡭᔱ⚽ᙲ㸦኱

- 15 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘㜰኱Ꮫ㸧㸪ᕷᕝ㐩ᇶ㸦ᮾி኱Ꮫ㸧㸪ᓊ㇂ᐉᡂ㸦ᮾி⌮⛉኱Ꮫ㸧㸦ᩗ⛠␎/㡰୙ྠ㸧ࡢ 5 ྡࡀඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢆཷ㈹ࡋࡲࡋࡓ㸬㸦ᮏㄅࡢࠕඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ ཷ㈹⪅ࠖࡢグ஦ࡶࡈぴࡃࡔࡉ࠸㸬㸧ࡇࡢ࡯࠿࡟㸪ཧຍ⪅ࢆᑐ㇟࡟ᢳ㑅࡛ᬒရࢆ㉗ࡿ௻⏬ࢆ❧࡚ࡲࡋࡓ㸬௻⏬࡛ࡣ 7 ࡘࡢᩘᏐࢆ⏝ពࡋ㸪ྛ࣏ࢫࢱ࣮ࡢᶓ࡟ࡑࡢ୰ࡢ㸯ࡘࢆᥖ♧ࡋࡲࡍ㸬㸵ࡘࡢᩘᏐࡍ࡭࡚ࢆᅇ཰ࡋ㸪ࡑࡢ⥲࿴ࢆᛂເࣇ࢛࣮
࣒࠿ࡽ⏦ࡋ㎸ࢇࡔே࡟ᢳ㑅࡛グᛕ࡜࡞ࡿ⚟ᓥࡢ≉⏘ࢆ㉗ࡾࡲࡋࡓ㸬᭱ᚋ࡟࡞ࡾࡲࡋࡓࡀ㸪ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࡢᑂᰝဨࡢ᪉ࠎ㸪Ꮫ⏕఍ጤဨ఍㸪ఏ⇕ࢩ࣏ࣥࢪ࣒࢘ᐇ⾜ጤဨ఍࡟኱ኚ࠾ୡヰ࡟࡞ࡾࡲࡋࡓ㸬ࡇࡢሙࢆ೉ࡾ࡚῝ࡃ࠾♩⏦ࡋୖࡆࡲࡍ㸬㸦Ꮫ⏕఍ጤဨ఍ ᕴ ࿴ஓ㸧ᅗ 2 Remo ࢆ⏝࠸ࡓඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥࡢ఍ሙࡢᵝᏊᅗ 3 ࣍࣡࢖ࢺ࣮࣎ࢻࢆ⏝࠸ࡓⓎ⾲ࡢᵝᏊ㸬࣮࢜࢞ࢼ࢖ࢬࢻࢭࢵࢩࣙࣥ
ࠕே࡜⇕࡜ࡢ㛵ࢃࡾࡢ㊊㊧ ➨  ᅇ ࠖࠕ⇕ࡢ⛉Ꮫᢏ⾡ྐ◊✲఍࡛ࠖࡣ㸪౛ᖺ㸪ఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡢ㛤ദᆅ࡟࠾ࡅࡿ⇕࡟㛵ࡍࡿ⛉Ꮫᢏ⾡ࡢఏ⇕ 2021 ᖺ 7 ᭶Ⓨᒎ࡟㛵㐃ࡍࡿࢸ࣮࣐ࢆ࡜ࡾ࠶ࡆࡿ࣮࢜࢞ࢼ࢖ࢬ
ࢻࢭࢵࢩࣙࣥࢆ㛤ദࡋ࡚࠸ࡿ㸬௒ᅇ㛤ദࡉࢀࡿᮾ໭
ᆅ᪉ࡣ㸪᪥ᮏఏ⇕Ꮫ఍ࢆ௦⾲ࡍࡿ㢧ᙲ࡛࠶ࡿࠕᢤᒣ
グᛕᅜ㝿㈹ࠖࢆ⏕ࢇࡔᆅ࡛࠶ࡿࡇ࡜࠿ࡽ㸪ࡇࡢ◊✲ࡀ㐍ࡵࡽࢀࡓᮾ໭኱Ꮫ∦ᖹᆅ༊࡟↔Ⅼࢆᙜ࡚ࡓㅮ
₇ࢆᙜヱᆅ༊࡟ࡈᅾ⫋ࡢඛ⏕᪉࡟࠾㢪࠸ࡍࡿ࡜࡜
ࡶ࡟㸪⇕ᢏ⾡ࡢ㠃࠿ࡽࡣ㔩▼ࡀᡃࡀᅜ࡟࠾ࡅࡿ㏆௦〇㕲ᢏ⾡ࡢⓎᒎ࡟㔜せ࡞ᙺ๭ࢆᯝࡓࡋࡓࡇ࡜࠿ࡽ㸪ྠᕷ࡟ࡶㅮ₇ࢆ౫㢗ࡋࡓ㸬ࢭࢵࢩࣙࣥࡢෆᐜཬࡧࡈ
ㅮ₇⪅ࡣ௨ୗࡢ㏻ࡾ࡛࠶ࡿ㸬㸫ᮾ໭ᆅ᪉࡟࠾ࡅࡿ⇕⛉Ꮫᢏ⾡ࡢⓎᒎ㸫(1) ࢭࢵࢩࣙࣥࡢ୺᪨ᫍ ᮁ 㸦ᮾ໭Ꮫ㝔኱ᏛᕤᏛ㒊㸧(2) ᪥ᮏ㏆௦〇㕲ࡢⓎ⚈ 㔩▼࠿ࡽඵᖭ࡬᳃ ୍ḯ 㸦㔩▼ᕷᩥ໬ࢫ࣏࣮ࢶ㒊ୡ⏺㑇⏘ㄢ㸧(3) ᮾ໭኱Ꮫ∦ᖹᆅ༊࡟࠾ࡅࡿఏ⇕◊✲㸦ᢤᒣἛ㦐᭤⥺㸧ᑠᐑ ᩔᶞ㸦ᮾ໭኱Ꮫὶయ⛉Ꮫ◊✲ᡤ㸧(4) ᮾ໭኱Ꮫ∦ᖹᆅ༊࡟࠾ࡅࡿᴟప ࡢ◊✲㔝ᓥ ຮ㸦ᮾ໭኱Ꮫ㔠ᮦ◊/ᴟప ⛉Ꮫࢭࣥࢱ࣮㸧ࡲࡎᗙ㛗ࡢᫍ ᮁ㸦ᙜ◊✲఍ጤဨ㸪ᮾ໭Ꮫ㝔኱Ꮫ㸧࠿ࡽࢭࢵࢩࣙࣥࡢ୺᪨ࢆㄝ᫂ࡋࡓࡢࡕ㸪௨ୗࡢࡈㅮ
₇ࢆ㡬࠸ࡓ㸬
(2)᪥ᮏ㏆௦〇㕲ࡢⓎ⚈ 㔩▼࠿ࡽඵᖭ࡬
᳃Ặ࠿ࡽࡣ㸪ࡲࡎ㔩▼ᕷࡢᶫ㔝㕲㖔ᒣ㸦ᅗ4㸧ࡣୡ⏺㑇⏘ࠕ᫂἞᪥ᮏࡢ⏘ᴗ㠉࿨㑇⏘ࠖࢆᵓᡂࡍࡿ㑇⏘ࡢ୍ࡘ࡟ㄆᐃࡉࢀ࡚࠸ࡿ࡜ࡢࡈ⤂௓ࡀ࠶ࡗࡓ㸬ࡇࡢṔྐⓗ⫼ᬒ࡜ࡋ࡚ࡣ㸪┒ᒸ㸦༡㒊㸧⸬ࡢฟ㌟ࡢ኱ᓥ㧗௵ࡀỤᡞࡸ㛗ᓮ࡞࡝࡛すὒ◙⾡ࡸ᥇㖔⾡ࢆᏛࢇࡔᚋ㸪Ỉᡞ⸬㑣⌃‖ࡢ཯ᑕ⅔ࡢᘓタ࡟ᦠࢃࡗࡓࡀ㸪ᙜ᫬ࡢཎᩱࡣ◁㕲࠿ࡽసࡿ◁㕲㖧࡛࠶ࡗࡓࡓࡵ㸪༑ศ࡞ᛶ⬟ࡢ〇ရ㸦኱◙㸧ࡣᚓࡽࢀࡎ㸪ᒾ㕲㸦㕲㖔▼㸧࠿ࡽࡢ㖧㕲ࢆ⏕⏘ࡍ࡭ࡃ㸪ᒾ㕲ࢆ⏘ฟࡋࡓ㔩▼㸦ᙜ᫬ࡣ┒ᒸ⸬㸧ࡢᆅ࡟㧗⅔ࡢᘓタࢆィ⏬ࡋࡓ㸬ࡑࡢᚋ㸪㈈ᨻࡸᢏ⾡ⓗ࡞ᅔ㞴ࢆඞ᭹ࡋ࡚㸪Ᏻᨻ4㸦1857㸧ᖺ࡟᪥ᮏ࡛ึࡵ࡚㕲㖔▼ࢆཎᩱ࡜ࡋࡓ㧗⅔࡛ࡢ㐃⥆ฟ㖧࡟ᡂຌ㸪ࡉࡽ࡟㸪᫂἞࡟ࡣ㔩▼〇㕲ᡤࡀᘓタࡉࢀ㸪ᐁႠ࠿ࡽẸႠ࡬࡜⤒Ⴀୖཬࡧᢏ⾡ୖࡢከࡃࡢⱞ
㞴࡟㐼㐝ࡋࡘࡘ㸪᫂἞27㸦1894㸧ᖺ࡟ࡣ㸪ᡃࡀᅜ࡛ࡣࡌࡵ࡚ᮌⅣ࡛ࡣ࡞ࡃࢥ࣮ࢡࢫࢆ⏝࠸࡚ࡢฟ㖧࡟ࡶᡂຌࡋ㸪ࡇࢀࡽࡢ㔩▼࡟࠾ࡅࡿ⤒㦂ࡀ㸪᫂἞34
㸦1901㸧ᖺࡢᐁႠඵᖭ〇㚩ᡤࡢ㛤タ࡟⧅ࡀࡗࡓ࡜ㄝ
᫂ࡉࢀࡓ㸬

- 16 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
ࡈㅮ₇ࡢ࠶࡜㸪ࠕ㧗⅔ࡀ୍᫬೵Ṇࡏࡊࡿࢆᚓ࡞࠿
ࡗࡓ⌮⏤ࠖࡸࠕ᪂ࡋ࠸ᢏ⾡ࡢᡂ⇍ࡸᐃ╔࡟ࡣᖖ࡟ᅔ
㞴ࡀక࠸᫬㛫ࡀᚲせ࡛࠶ࡿࠖ࡞࡝ࡢάⓎ࡞ពぢ஺᥮ࡀ⾜ࢃࢀࡓ㸬
(3)ᮾ໭኱Ꮫ∦ᖹᆅ༊࡟࠾ࡅࡿఏ⇕◊✲㸦ᢤᒣἛ㦐᭤⥺㸧ࠕᢤᒣἛ㦐᭤⥺ࠖࡢᐇ㦂ࡣ㸪ᮾ໭኱Ꮫ∦ᖹᆅ༊࡟࠾࠸࡚⾜ࢃࢀࡓ㸬⌧ᅾࡇࡢᆅ༊ࡢ⇕ὶయ㛵ಀࡢ◊✲⤌⧊࡜ࡋ࡚ࡣ㸪ὶయ⛉Ꮫ◊✲ᡤࡀᡤᅾࡍࡿ㸬ࡑࡇ࡛ᙜヱ◊✲ᡤ࡟ࡈ໅ົࡢᑠᐑᩔᶞᩍᤵ࡟㸪ࡇࡢࡈㅮ₇ࢆ࠾㢪࠸ࡋࡓ㸬
ࡇࡢࡈㅮ₇࡟ᙜࡓࡗ࡚ᑠᐑඛ⏕ࡣ㸪ᢤᒣඛ⏕࡟㛵ಀࡍࡿ᪉ࠎ࠿ࡽᩥ⊩ࡸㅖ㈨ᩱࢆ཰㞟ࡉࢀ࡚㸪ᢤᒣඛ⏕ࡢ◊✲࡟ᑐࡍࡿࡈጼໃ㸪࠸ࡃࡘ࠿ࡢ◊✲࡟㛵ࢃࡿྡゝ㸪౛࠼ࡤࠕ୍⏕࡟ࡦ࡜ࡘࡃࡽ࠸ࡣ࠸࠸ㄽᩥࢆ᭩
ࡁ㸪ࡑࢀࡔࡅⓎ⾲ࡋࡓ࠸㸬ࠖ࡞࡝ࢆ⤂௓ࡉࢀ㸪ࡇࢀࡽࢆ≀ㄒࡿ◊✲࢚ࣆࢯ࣮ࢻࡢࡈㄝ᫂ࡶ࠶ࡗࡓ㸬ࡑࡢ௚㸪ᢤᒣඛ⏕࡟⧅ࡀࡿᲴ⃝Ὀඛ⏕㸪Ṋᒣᩩ㑻ඛ⏕࡞࡝ࡢ᪉ࠎࡢ⣔㆕ࡸ◊✲ᴗ⦼㸪ᙜ᫬ࡢ෗┿࡞࡝ࡶࡈ⤂௓㡬࠸ࡓ㸬ࡇࡢἛ㦐ᐇ㦂ࡀᐇ᪋ࡉࢀࡓᘓ≀࡟ࡘ࠸࡚ࡣ㸪ⅆ⅏ࡸᡓ⅏㸪࠶ࡿ࠸ࡣᨵ⠏ࡢࡓࡵ࡟ࡑࡢࡲࡲࡣṧࡉࢀ࡚࠸࡞࠸ࡀ㸪ᙜ᫬ࡢ㓄⨨ᅗ࡜⌧≧ࢆẚ㍑ࡉࢀࡓ⤖ᯝ㸪⌧ᅾࡢከඖ≀㉁⛉Ꮫ◊✲ᡤࡢ఩⨨࡟࠶ࡗࡓ࡜᥎
ࡉࢀ࡚࠸ࡿ㸬ᅗ5ࡀ⌧≧ࡢᘓ≀ࡢእほ࡛࠶ࡿࡀ㸪☜࠿࡟ᪧᖇᅜ኱Ꮫ㢼ࡢࣇ࢓ࢧ࣮ࢻࡀᙜ᫬ࡢ㠃ᙳࢆṧࡋ࡚࠸ࡿ.
ࡑࡢ௚㸪ᢤᒣඛ⏕ࡀࡇࡢἛ㦐ᐇ㦂ࢆࡣࡌࡵࡽࢀࡓ
ືᶵࡸ㸪Ἓ㦐᭤⥺ࢆᚓࡽࢀࡓᚋࡣ㸪㔜せ࡞ࡇ࡜ࡣࢃ
࠿ࡗࡓ࡜ࡋ࡚ࡇࡢศ㔝ࡢ◊✲ࡣࡉࢀ࡞࠿ࡗࡓࡇ࡜㸪ཎᏊ⅔ࡢ෭༷࡟㛵㐃ࡋ࡚㸪⡿ᅜࡢ◊✲⪅࠿ࡽࡢ㛵ᚰࡀ㧗࠿ࡗࡓࡇ࡜࡞࡝ࡀ⤂௓ࡉࢀࡓ㸬
ࡈㅮ₇ᚋ࡟ฟᖍ⪅࠿ࡽࠕᏛ఍࡛ᢤᒣඛ⏕ࡢࡈㅮ₇ࢆ⪺࠸ࡓࡇ࡜ࡀ࠶ࡿࡀ㸪◊✲ࡀఱ࡟ᙺ❧ࡘ࠿ࢆ㠀ᖖ࡟㔜どࡋ࡚࠾ࡽࢀࡓࠖ࡞࡝ࡢ࠾ヰࡋࡀ࠶ࡗࡓ㸬(4)ᮾ໭኱Ꮫ∦ᖹᆅ༊࡟࠾ࡅࡿᴟప ࡢ◊✲ ᮾ໭኱Ꮫ∦ᖹᆅ༊࡟࠾ࡅࡿ⇕࡟㛵ࢃࡿ◊✲ࡢࡶ࠺୍ࡘࡢ≉Ⰽ࡛࠶ࡿࠕᴟప ࠖ࡟ࡘ࠸࡚㸪ྠᆅ༊࡟ᡤᅾࡍࡿ㔠ᒓᮦᩱ◊✲ᡤཬࡧᴟప ⛉Ꮫࢭࣥࢱ࣮
ࡢ㔝ᓥຮ෸ᩍᤵࡼࡾࡈㅮ₇ࢆ㡬࠸ࡓ㸬ࡈㅮ₇࡛ࡣ㸪ࡲࡎṔྐⓗ࡞⤒⦋࡟ࡘ࠸࡚㸪㔠ᒓᮦᩱ◊✲ᡤࡣ኱ṇ11㸦1922㸧ᖺ࡟Ⓨ㊊ࡋࡓࡀ㸪ึ௦ࡢᮏከගኴ㑻ᡤ㛗ࡀ☢ᛶᮦࡢ◊✲⪅࡛࠶ࡗࡓࡇ࡜ࡸ㸪୍⯡ࡢ㔠ᒓᮦᩱ≀ᛶࡢ◊✲࡟ࡶప ⎔ቃࡀ㔜せ࡛ఏ⇕ 2021 ᖺ 7 ᭶- 17 -

ᅗ 4 㸦ྑୖ㸧ㅮ₇ࡉࢀࡿ᳃୍ḯẶ㸦୰ኸ㸧ᶫ㔝㕲㖔ᒣ୕␒㧗⅔㊧㸦ୡ⏺㑇⏘㸪෗┿㸸㔩▼ᕷᥦ౪㸧ᅗ 5㸦ྑୖ㸧ㅮ₇ࡉࢀࡿᑠᐑᩔᶞඛ⏕㸦୰ኸ㸧ᢤᒣඛ⏕ࡢἛ㦐ᐇ㦂ࡀ⾜ࢃࢀࡓ࡜ᛮࢃ
ࢀࡿሙᡤ࡟⌧ᅾᘓࡘከඖ≀㉁⛉Ꮫ◊✲ᡤ.
࠶ࡗࡓࡓࡵ㸪ࡑࡢึᮇ࠿ࡽప ◊✲ࡀ㔜どࡉࢀ࡚࠸ࡓࡇ࡜㸪ᙜ᫬ୡ⏺ⓗ࡟ࡣࡍ࡛࡟࣒࣊ࣜ࢘ࡢᾮ໬࡟ᡂ
ຌࡋ࡚࠸ࡓࡀ㸦1908ᖺ㸧㸪ᮍࡔᗈࡃᬑཬࡍࡿẁ㝵࡟ࡣ࡞ࡃ㸪ึᮇࡢ◊✲ࡣᾮయỈ⣲ࢆ⏝࠸࡚㐍ࡵࡽࢀ㸪
᫛࿴27㸦1952㸧ᖺ࡟࡞ࡗ࡚ᡃࡀᅜ࡛᭱ึ࡟ྠ◊✲ᡤ࡟࣒࣊ࣜ࢘ᾮ໬ᶵࡀᑟධࡉࢀࡓࡇ࡜㸦ᅗ6㸧㸪ࡑࡢᚋࡣ฼⏝⪅ࡢࡓࡵࡢᇶ┙ᩚഛ࡟ࡶຊࢆධࢀ࡚ࡁࡓ➼ࡢࡈㄝ᫂ࡀ࠶ࡗࡓ㸬࣒࣊ࣜ࢘฼⏝ࡢ⌧≧࡟ࡘ࠸࡚ࡣ㸪࣒࣊ࣜ࢘ࡣ㸪ప
ἛⅬ㸪㧗⇕ఏᑟ⋡㸪పᐦᗘ㸪୙άᛶ࡞࡝ࡢ≉ᚩ࠶ࡿ≀ᛶࢆ᭷ࡍࡿࡢ࡛㸪ࡇࢀࡽࢆ฼⏝ࡋ࡚㸪་⒪⏝MRI➼ࡢ㉸ఏᑟ☢▼෭༷㸦పἛⅬ㸧㸪༙ᑟయ〇㐀㸦㧗⇕ఏᑟ⋡㸧㸪ගࣇ࢓࢖ࣂ࣮⥺ᮦࡢᘬࡁᢤࡁ〇㐀㸦୙άᛶ࡞࡝㸧➼ࡢ⌧௦♫఍࡟୙ྍḞ࡞ศ㔝࡟ᖜᗈࡃά⏝ࡉࢀ࡚࠸ࡿࡇ࡜ࢆ⤂௓ࡉࢀࡓ㸬

J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
㐍⾜ࡣⰼᮧ఍㛗࡟࠾㢪࠸ࡋࡓ㸬ᮾ኱ࡢෆ⏣೺ᩍᤵࡢࢱ࢖ࢺࣝࡣ㸪ࠕ♫఍ㄢ㢟ゎỴࢆ┠ᣦࡋࡓࢼࣀ㟁Ꮚᮦᩱ࣭ࢹࣂ࢖ࢫ࡟࠾ࡅࡿ⇕ࡢㄢ㢟࡜฼⏝࡛ࠖ࠶ࡿ㸬ࢺࣛࣥࢪࢫࢱࡢ◊✲࠿ࡽጞࡲࡾ㸪ࢼࣀࢫࢣ࣮ࣝࡢ㟁Ꮚࡢࡩࡿࡲ࠸ࡢᇶ♏⌮ゎࡢࣞ࣋ࣝࢆୖࡆ࡚᮶ࡿ୰࡛㸪♫఍ࡢࢽ࣮ࢬ࡜↷ࡽࡋྜࢃࡏ㸪IoT ࡛ᚲせ࡜ࡉࢀࡿపᾘ㈝㟁ຊࡢ᪂ࡋ࠸㉸ᑠᆺࢭࣥࢧ࣮࡟㸪ࢼࣀࢫࢣ࣮ࣝࡢࢪ࣮ࣗࣝ
⇕ࢆ฼⏝ࡍࡿࢭࣥࢩࣥࢢࡢ㛤Ⓨ࡟ᡂຌࡋࡓ㸬౛࠼ࡤ㸪ே㛫ࡢ࿧྾୰ࡢᡂศࡀ㸪ࢼࣀࢩ࣮ࢺ࡟௜╔ࡍࡿࡇ࡜࡟ࡼࡾ㸪㟁Ẽ᢬ᢠࡀኚ໬ࡍࡿࡇ࡜ࢆ㸪Ⓨ⏕ࡍࡿ⇕࡟ࡼࡾ㧗ឤᗘ࡟ィ ࡛ࡁࡿ᪂ࡓ࡞◊✲࡬ᒎ㛤ࢆᅗࡽࢀࡓࡇ࡜ࡢㅮ₇ࡀ࡞ࡉࢀࡓ㸬஑኱ࡢርẶ㸪ᮾ኱ࡢᚿ㈡Ặ㸪୸ᒣẶ࠿ࡽ㸪ࠕ࡝ࡢࡼ࠺࡟ࡋ࡚ࡇࡢࡼ࠺࡞Ⓨ᝿࡟࠸ࡓࡗࡓࡢ࠿㸽ࠖ࡜࠿ࠕࣈ࣮ࣞࢡࢫ࣮ࣝ࡜ࡣ㸽ࠖ࡟ࡘ࠸࡚㉁ၥࡀ࡞ࡉ
ࢀ㸪ࠕ⮬ศࡢᢏ⾡࣭▱㆑࡜♫఍ࡢࢽ࣮ࢬࡢ࢔ࣥࢻࢆ
࠸࠿࡟࡜ࡿࡢ࠿㸪࡜࠸࠺Ⓨ᝿ࡀ㔜せ࡛࠶ࡿࠖࡇ࡜
ࡀ㏙࡭ࡽࢀࡓ㸬 ஑኱ࡢᒣす㝧Ꮚᩍᤵࡢࢱ࢖ࢺࣝࡣ㸪ࠕ㟁⏺ㄏ㉳ẼἻ࡟ࡼࡿᶵ⬟๰Ⓨ࡜␗ศ㔝◊✲࡬ࡢⓎ᝿࡛ࠖ࠶ࡿ㸬ⱥᅜࡢ࢖ࣥ࣌ࣜ࢔ࣝ࢝ࣞࢵࢪ࡛▼Ⅳ⇞↝࣭࣮ࣞࢨィ ࡛Ꮫ఩ࢆ࡜ࡽࢀࡓᚋ㸪ᮾ໭኱Ꮫ࡛඲ࡃ㐪࠺ศ㔝࡛ࡢ⣽⬊࡟ࡘ࠸࡚Ꮫࡧ㸪ࡉࡽ࡟㸪㟁Ẽ࣓ࢫࡢ㉸ᑠᆺ໬࡟ࡘ࠸࡚◊✲ࡋ࡚࠸ࡓ࡜ࡇࢁ㸪࣐࢖ࢡࣟẼἻࢆ㐃⥆ⓗ࡟ᑕฟࡍࡿࡇ࡜࡟ᡂຌࡋ㸪ẼἻࡀᅽቯࡍࡿ࡜ࡁ࡟㸪⏕≀ࡢ⭷ࢆ↔ࡀࡉࡎ࡟✰ࢆ㛤ࡅࡽࢀࡿࡇ࡜ࢆⓎぢࡋࡓࡇ࡜㸪ࡉࡽ࡟ࡣ㸪ࡇࢀࢆ฼⏝ࡋ࡚እ⛉ᡭ⾡࡛ࡣ࡞࠸⾑ᰦࢆ࡜ࡿᢏ⾡࡟Ⓨᒎࡉࡏࡓࡇ࡜ࡸ㸪㑇ఏᏊ࣭⸆๣ࢆὀධࡍࡿᢏ⾡࡞࡝࡟ᒎ㛤ࡉࡏࡓࡇ࡜࡟ࡘ࠸࡚ㅮ₇ࡀ࡞ࡉࢀࡓ㸬ྡ኱ࡢ㛗㔝Ặ㸪ᮾ໭኱ࡢᑠᐑẶ࠿ࡽ㸪ࠕ㐪ࡗࡓษࡾཱྀࡢᒎ㛤࡜ࡣ㸽ࠖࠕ␗ศ㔝⼥ྜ࡜ࡣ㸽ࠖ࡟ࡘ࠸࡚㉁ၥࡀ࡞ࡉࢀ㸪ࠕ⮬ศࡢᢏ⾡㸪ᇶ♏ࡢ❧ࡕ఩⨨ࢆࡩࡾ࠿࠼ࡾࡘࡘ㸪␗ศ㔝ࡢே࡜✚ᴟⓗ࡟㆟ㄽࡍࡿࡇ࡜࡜㸪እ㒊ࡢࢽ࣮ࢬ࡟ࡘ࠸࡚ᕼồࡍࡿࡇ࡜ࡀࡑࡢ
ษࡾཱྀ࡟࡞ࡿࠖ࡜ࡢ⟅࠼ࡀ࡞ࡉࢀࡓ㸬
Zoom ࡛ 170 ྡవࡾ㸪YouTube ࡛ 200 ྡవࡾ㸪⣙ 400 ྡᙅࡢど⫈ࡀ࠶ࡾ㸪ࡑࡢᚋࡢᏛ఍ࡢពぢ஺᥮఍࡛ࡶ㸪60 ࿘ᖺ࡟ࡩࡉࢃࡋ࠸ᐇ࡟࠾ࡶࡋࢁ࠸ㅮ
₇࡛࠶ࡗࡓ࡜ከࡃࡢே࠿ࡽㅮホࢆ࠸ࡓࡔ࠸ࡓ㸬㸦60 ࿘ᖺグᛕᢸᙜ ᖹ஭ ⚽୍㑻㸧᭱ᚋ࡟㸪࣒࣊ࣜ࢘ࡣኳ↛࢞ࢫ࡜࡜ࡶ࡟ྲྀᚓࡉࢀࡿ
ࡶࡢ࡛ࡑࡢ౪⤥࡟ࡣ㝈⏺ࡀ࠶ࡾ㸪ୖグࡢࡼ࠺࡞฼⏝ศ㔝࡬ࡢ௦᭰ᢏ⾡ࡸᑠᆺ෭෾ᶵࡢ㛤Ⓨ㸪ᅇ཰⋡ࡢ୍ᒙࡢྥୖ࡞࡝࡟ࡼࡗ࡚㸪㈗㔜࡞ኳ↛㈨※࡛࠶ࡿ࣊ࣜ
࣒࢘ࡢ᭷ຠ฼⏝ࢆࡉࡽ࡟㐍ࡵࡿᚲせࡀ࠶ࡿ࡜⥾ࡵࡃࡃࡽࢀࡓ㸬

ᅗ 6㸦ྑୖ㸧ㅮ₇ࡉࢀࡿ㔝ᓥຮඛ⏕㸦୰ኸ㸧ᡃࡀᅜ᭱ึࡢ࣒࣊ࣜ࢘ᾮ໬ᶵ
௨ୖ㸪ᮾ໭ᆅ᪉࡟࠾ࡅࡿ⇕ࡢ⛉Ꮫᢏ⾡ࡢⓎᒎ࡟ࡘ࠸࡚㸪ࡇࢀࡽ୕ேࡢㅮ₇⪅࠿ࡽ㊃᪨࡟ἢࡗࡓ㈗㔜࡞ࡈㅮ₇ࢆ㡬࠸ࡓࡇ࡜㸪ࡲࡓ᭱ከ᫬࡛⣙ 35 ྡࡢࡈཧຍࢆ㡬࠸ࡓࡇ࡜࡟ᚰ࠿ࡽឤㅰࡋࡓ࠸㸬㸦⇕ࡢ⛉Ꮫᢏ⾡ྐ◊✲఍ Ἑᮧ ὒ㸪ᫍ ᮁ㸧㸬≉ูㅮ₇᪥ᮏఏ⇕Ꮫ఍๰❧ 60 ࿘ᖺࢆグᛕࡍࡿ≉ูㅮ₇఍ࡀఏ⇕ࢩ࣏ࣥࢪ࣒࢘ 2 ᪥┠࡟⾜ࢃࢀࡓ㸬Ꮫ఍ࡀ㑏ᬺࢆ㏄࠼ࡿࡇ࡜ࢆព㆑ࡋ㸪ఏ⤫ࡢ࠶ࡿศ㔝ࢆᑛ㔜ࡋࡘࡘࡶ㸪᪂ࡋ࠸ศ㔝࡟࡝ࡢࡼ࠺࡟ࢳࣕࣞࣥࢪ
ࡍࡿࡢ࠿㸪≉࡟ⱝᡭࡢ◊✲⪅࡟่⃭࡟࡞ࡿࡼ࠺࡟㸪
ㅮ₇఍඲యࡢࢱ࢖ࢺࣝࢆࠕ᪂ࡋ࠸◊✲ࡣ࡝ࡢࡼ࠺
࡞Ⓨ᝿࠿ࡽ⏕ࡲࢀࡿࡢ࠿㸪̿᪂ࡋ࠸㡿ᇦ࡬ࡢᣮᡓ
̿ࠖ࡜ࡋࡓ㸬ㅮᖌࡣ㸪⊂⮬࡟᪂ࡋ࠸◊✲㡿ᇦࢆ❧ࡕୖࡆ࡚ࡁࡓᮾ኱ࡢෆ⏣ᘓᩍᤵ࡜஑኱ࡢᒣす㝧Ꮚᩍᤵ࡟࠾㢪࠸ࡋࡓ㸬ఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࡀ࢜ࣥࣛ࢖
࡛ࣥ࠶ࡿࡇ࡜࠿ࡽ㸪ᮏㅮ₇఍ࡶ࢜ࣥࣛ࢖࡛ࣥ㛤ദࡋ㸪ఏ⇕Ꮫ఍ဨ࡟ࡣ Zoom ࡟ࡼࡿ㓄ಙࢆ㸪୍⯡ࡢ᪉࡟ࡶᮏㅮ₇఍ࢆ⪺࠸࡚࠸ࡓࡔࡅࡿࡼ࠺࡟㸪YouTube ࡟ࡼࡿ↓ᩱබ㛤ࡶᐇ᪋ࡋࡓ㸬බ┈♫ᅋἲே࡛࠶ࡿ᪥ᮏఏ⇕Ꮫ఍࡜ࡋ࡚㸪Ꮫ఍ဨࡢࡓࡵࡔࡅ
࡛࡞ࡃ㸪♫఍ࡢࡓࡵࡢᏛ఍άືࢆព㆑ࡋࡓ㸬 ྖ఍ఏ⇕ 2021 ᖺ 7 ᭶- 18 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
⾲ 4 WEB ពぢ஺᥮఍ḟ➨㸬ពぢ஺᥮఍ ᮏࢩ࣏ࣥࢪ࣒࢘ࡢ 2 ᪥┠ࡢ 19:00 ࡼࡾ㸪ពぢ஺᥮఍ࢆ࢜ࣥࣛ࢖ࣥ㛤ദࡋࡲࡋࡓ㸬௒ᅇࡢ࢜ࣥࣛ࢖ࣥពぢ஺᥮఍ࡣ㸪ࠕඹ㏻ࡢࣇ࣮ࢻ࡜࠾ዲࡳࡢࢻࣜ
ࣥࢡࢆᴦࡋࡴࡇ࡜ࠖࢆࢥࣥࢭࣉࢺ࡟௻⏬ࡋࡓࡶࡢ࡛ࡍࡀ㸪Ꮫ఍ࡢពぢ஺᥮఍࡜ࡋ࡚ࡣ๓౛ࡢᑡ࡞࠸
௻⏬࡛࠶ࡗࡓࡇ࡜ࡶ࠶ࡾ㸪㣧㣗௜ࡁࡢཧຍ⪅ᩘࡣ54 ྡ㸦ཧຍ⪅⥲ᩘ㸸87 ྡ㸧࡟Ṇࡲࡾࡲࡋࡓ㸬ᙜึࡢ㛤ദணᐃᆅ࡛࠶ࡿ⚟ᓥࡢᛮ࠸ฟࢆཧຍ⪅ࡢⓙᵝࡢ グ ᠈ ࡟ ṧ ࡍ ࡓ ࡵ ࡟ 㸪 እ ὀ ࢧ ࣮ ࣅ ࢫ 㸦 nonpi
foodbox㸧ࡢࢻࣜࣥࢡᶆ‽ࣉࣛࣥ࡟ࡣᏑᅾࡋ࡞࠸㸪≉ูࣉࣛࣥ㸦⚟ᓥᆅ㓇ࢭࢵࢺ㸸45 ࢭࢵࢺ㝈ᐃ㸧ࢆ‽ഛࡉࡏ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬ࡇࡢᆅ㓇ࢭࢵࢺࡣ㸪ᐇ⾜ጤဨ఍⊂⮬ࡢᕷሙㄪᰝ࣭౯᱁஺΅࣭Ⓨὀᡭ⥆ࡁ࡟ࡼࡾᐇ⌧ࡋࡓࡶࡢ࡛ࡍ㸬ᮏ᮶ࡢពぢ஺᥮఍࡛ࡣ㸪ㅮ₇Ⓨ⾲࡜ྠᵝ࡟ཧຍ⪅඲ဨࡀࢫࣆ࣮࣮࢝ࡢヰࢆ⪺ࡃሙ㠃ࡸ㸪Ẽࡢྥࡃࡲࡲ࡟」ᩘࡢࢢ࣮ࣝࣉ࡟ศ࠿ࢀ࡚఍ヰࡍࡿሙ㠃ࡀ᝿ᐃࡉࢀࡲࡍ㸬ࡑࡢ୧᪉ࢆᐇ⌧ྍ⬟࡞ WEB ࢥ࣑ࣗࢽࢣ࣮ࢩࣙࣥࢶ࣮ࣝ࡜ࡋ࡚ Remo ࢆ᥇⏝ࡋࡲࡋࡓ㸬㐠Ⴀഃࡢ Remo ฼⏝⤒㦂ࡢ୙㊊ࡶᡭఏࡗ࡚㸪఍ࡢ㛤ጞ᪩ࠎ࡟ࡣࡸࡸࡶࡓࡘ࠸ࡓ࡜ࡇࢁࡀ࠶ࡾࡲ
ࡋࡓࡀ㸪ཧຍ⪅ࡢⓙᵝࡢࡈ༠ຊ࡟ࡼࡾ㸪࡯ࡰணᐃ㏻ࡾ࡟㐍⾜ࡍࡿࡇ࡜ࡀ࡛ࡁࡲࡋࡓ㸦⾲ 4㸧㸬ࡲࡓ㸪ᚑ᮶ࡢពぢ஺᥮఍࡛ࡣ㸪⤊஢᫬้ࡀẚ㍑ⓗཝ᱁࡛࠶ࡾ㸪఍ヰࡢ㏵୰࡛఍ሙࢆ㏥ฟࡏࡊࡿࢆᚓ࡞࠸ሙ
ྜࡶከࠎ࠶ࡾࡲࡍࡀ㸪࢜ࣥࣛ࢖ࣥ㛤ദࡢሙྜ࡟ࡣ
ᐇ㉁ⓗ࡟ࡣࡑࡢไ㝈ࡀ↓ࡃ㸪ᚰ⨨ࡁ࡞ࡃពぢ஺᥮ࡀ࡛ࡁࡿሙࢆᥦ౪࡛ࡁࡿࡇ࡜ࢆⓎぢࡋࡲࡋࡓ㸬 ᝿ᐃࡼࡾࡶཧຍ⪅ᩘࡀᑡ࡞࠿ࡗࡓࡓࡵ࡟㸪ᚑ᮶ࡢᑐ㠃ᘧࡢពぢ஺᥮఍࡟ẚ࡭࡚┒ࡾୖࡀࡿ࠿࡝࠺
࠿୙Ᏻࢆឤࡌ࡚ࡢ࢜ࣥࣛ࢖ࣥ㛤ദ࡛ࡋࡓࡀ㸪ཧຍ⪅ࡢⓙᵝࡢࡈ⌮ゎ࡜ࡈ༠ຊ࡟ࡼࡾ኱┒ἣ࡟⤊ࢃࡿࡇ࡜ࡀࡁࡲࡋࡓ㸬ࡈཧຍ࠸ࡓࡔࡁࡲࡋࡓⓙᵝ࡟ᚰ࠿ࡽឤㅰ⏦ࡋୖࡆࡲࡍ㸬㸦ᐑᒸ ኱㸪బࠎᮌ ┤ᰤ㸧㸬࠶࡜ࡀࡁ
➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ࢆ㛤ദࡍࡿ࡟࠶
ࡓࡾ㸪ᮾ໭ᆅ༊ࡢඛ⏕᪉࡟ᐇ⾜ጤဨ఍࣓ࣥࣂ࣮࡜
ࡋ࡚ཧຍ࠸ࡓࡔࡁ㸪࣮࣒࣮࣍࣌ࢪసᡂ㸪ࣉࣟࢢ࣒ࣛ⦅ᡂ㸪ㄽᩥ㞟⦅ᡂ㸪ㅮ₇఍࢜ࣥࣛ࢖ࣥ఍ሙ㸦Zoom࢙࢘ࣅࢼ࣮㸧࠾ࡼࡧពぢ஺᥮఍࢜ࣥࣛ࢖ࣥ఍ሙ
㸦Remo㸧‽ഛ㸪ᒎ♧࣭ᗈ࿌ࡢ່ㄏ➼㸪ᩘከࡃࡢ௙

ఏ⇕ 2021 ᖺ 7 ᭶ḟ➨㛤఍ࡢ㎡➨ 58 ᅇᐇ⾜ጤဨ㛗ࡈᣵᣜ➨ 60 ᮇ఍㛗ࡈᣵᣜ஝ᮼࡢࡈᣵᣜ࣭ࡈⓎኌࡈḼㄯ➨ 59 ᮇ఍㛗ࡈᣵᣜ➨ 59 ᮇ௻⏬㒊఍㛗ࡈᣵᣜ๰❧ 60 ࿘ᖺグᛕᢸᙜࡈᣵᣜ
➨ 59 ᅇᐇ⾜ጤဨ㛗ࡈᣵᣜ➨ 58 ᮇ఍㛗ࠏࡢࡈᣵᣜ㛢఍ࡢ㎡ᢸᙜ⪅㸦ᩗ⛠␎㸧ᐑᒸ ኱㸦᪥኱㸧బࠎᮌ ┤ᰤ㸦᪥኱㸧᐀ീ 㕲㞝㸦⏘⥲◊㸧ᑠἨ Ᏻ㑻㸦㟁㏻኱㸧ⰼᮧ ၨ࿃㸦ᮾᕤ኱㸧᱈ᮌ ᝅ㸦㛗ᓮ኱㸧ᖹ஭ ⚽୍㑻㸦ᮾᕤ኱㸧ᯈ㇂ ⩏⣖㸦ᒱ㜧኱㸧㧗⏣ ಖஅ㸦஑ᕞ኱㸧ᐑᒸ ኱㸦᪥኱㸧஦ࢆᘬࡁཷࡅ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬௒ᅇࡣ㸪᪂ᆺࢥࣟࢼ࢘࢖ࣝࢫឤᰁᣑ኱㜵Ṇ࠾ࡼࡧཧຍ⪅ࡢᏳ඲ࢆ⪃៖ࡋ࡚ึࡢ࢜ࣥࣛ࢖ࣥ㛤ദ࡟࡞ࡗࡓࡇ࡜࡛౛ᖺ
࡜␗࡞ࡿࢩ࣏ࣥࢪ࣒࢘ࡢ㐠⏝ᙧᘧ࡜࡞ࡾࡲࡋࡓ㸬㏆ᖺከⓎࡍࡿ⮬↛⅏ᐖࡲ࡛⪃៖ࡋࡓሙྜ㸪࢜ࣥࣛ࢖ࣥ㛤ദࡢഛ࠼ࡀᐃᖖⓗ࡟ᚲせ࡟࡞ࡿࡇ࡜ࡀண᝿
ࡉࢀࡲࡍ㸬࢜ࣥࣛ࢖ࣥ㛤ദ࡟≉໬ࡋࡓ⤌⧊ࢆ❧ࡕୖࡆ࡚㸪౑⏝ࢶ࣮ࣝࡸᐇ᪋᪉ἲࡢࣀ࢘ࣁ࢘ࢆ⵳✚ࡋ࡚࠸ࡃࡇ࡜࡟ࡼࡾ㸪෇⁥࡛ᣢ⥆ྍ⬟࡞ࢩ࣏ࣥࢪ
࣒࢘ࡢ㐠Ⴀࡀ࡛ࡁࡿࡶࡢ࡜⪃࠼ࡲࡍ㸬ࡲࡓ㸪ᑐ㠃㛤ദ࡜࢜ࣥࣛ࢖ࣥ㛤ദ࡟ඹ㏻ࡋࡓㄢ㢟࡜ࡋ࡚㸪ཧ
ຍ㈝ᨭᡶ⟶⌮ᴗົࡢ㈇ᢸ㍍ῶࡀᣲࡆࡽࢀࡲࡍ㸬௚Ꮫ఍࡛ࡣᖖ㆑࡜࡞ࡾࡘࡘ࠶ࡿࢡࣞࢪࢵࢺ࣮࢝ࢻᡶ
࠸࡬ࡢᨭᡶ᪉ἲࡢ୍ᮏ໬ࢆ୍᪥ࡶ᪩ࡃᐇ⌧࠸ࡓࡔࡅࢀࡤ࡜⪃࠼ࡲࡍ㸬᭱ᚋ࡟㸪┤๓ࡲ࡛⌧ᆅ㛤ദࢆ┠ᣦࡋ࡚ࡈ༠ຊ࠸
ࡓࡔࡁࡲࡋࡓⓙᵝ㸪ཧຍ࠸ࡓࡔ࠸ࡓⓙᵝ࡟ᚚ♩⏦ࡋୖࡆࡿ࡜࡜ࡶ࡟㸪ᮏᏛ఍ࡢࡉࡽ࡞ࡿⓎᒎ࡜఍ဨྛ఩ࡢࡈά㌍ࢆ♳ᛕ࠸ࡓࡋࡲࡍ㸬㸦⏣୰ ୕㑻㸪బࠎᮌ ┤ᰤ㸧➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ᐇ⾜ጤဨ఍ጤဨ㛗 బࠎᮌ ┤ ᰤ ᪥ᮏ኱Ꮫ ┘ ஦ ᑠ ཎ   ᣅ ᮾ໭኱Ꮫ ᑠ ᐑ ᩔ ᶞ ᮾ໭኱Ꮫ ᖿ ஦ ⏣ ୰ ୕ 㑻 ᪥ᮏ኱Ꮫ ጤ ဨ 㟷 ᮌ ⚽ அ ᮾ໭኱Ꮫ ㉥ ᯇ ṇ ே ᒣᙧ኱Ꮫ ⛅ Ọ   ๛ ⛅⏣኱Ꮫ ஭ 㛵 ♸ ஓ ඵᡞᕤᴗ㧗➼ᑓ㛛Ꮫᰯ ఀ ⸨   ᝅ ᮾ໭኱Ꮫ Ụ ཎ ┿ ྖ ᮾ໭኱Ꮫ ᒸ ᓥ ῟அ௓ ᮾ໭኱Ꮫ - 19 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ᚨ ቑ   ᓫ ᮾ໭኱Ꮫ ୰ ᮧ   ᑑ ᮾ໭኱Ꮫ ᇣ ୖ   ὒ ᮾ໭኱Ꮫ ᫍ     ᮁ ᮾ໭Ꮫ㝔኱Ꮫ ᯇ ୗ ὒ ௓ ᮾ໭኱Ꮫ ᯇ ཎ ⿱ ᶞ ᮾ໭኱Ꮫ 㤿 ῲ ᣅ ဢ ᮾ໭኱Ꮫ ୸ ⏣   ⸅ ᮾ໭኱Ꮫ ᅭ ᒣ 㔜 ┤ ඵᡞᕤᴗ㧗➼ᑓ㛛Ꮫᰯ ᐑ ᒸ   ኱ ᪥ᮏ኱Ꮫ Ᏻ ཎ   ⸅ ᒣᙧ኱Ꮫ ⱝ ᔱ ᣺୍㑻 ୍㛵ᕤᴗ㧗➼ᑓ㛛Ꮫᰯᒸ 㒊 Ꮥ ⿱ ᘯ๓኱Ꮫ ∦ ᒸ ๎ அ ᪥ᮏ኱Ꮫ 㮵 㔝 ୍ 㑻 ᒣᙧ኱Ꮫ ⚄ ⏣ 㞝 ㈗ ᮾ໭኱Ꮫ ⳥ ᕝ ㇦ ኴ ᮾ໭኱Ꮫ Ụ ┠ ᏹ ᶞ ᒣᙧ኱Ꮫ ྂ ᕝ ⌶ ☻ ඵᡞᕤᴗ㧗➼ᑓ㛛Ꮫᰯ㸧㡲 ▱ ᡂ ග ⛅⏣┴❧኱Ꮫ ᗉ ྖ ⾨ ኴ ᮾ໭኱Ꮫ ኱ 㯮 ṇ ᩄ ඵᡞᕤᴗ኱Ꮫ ⏣ Ꮚ   ┿ ⛅⏣኱Ꮫ ሯ ⏣ 㝯 ኵ ᮾ໭኱Ꮫ 㛛 ྔ ⚽ ᶞ ᒣᙧ኱Ꮫ ఏ⇕ 2021 ᖺ 7 ᭶- 20 -J. HTSJ, Vol. 60, No. 252

➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘

ඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ཷ㈹⪅㸫➨  ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸫
Best Presentation Award- 58th National Heat Transfer Symposium of Japan -Ꮫ⏕఍ጤဨ఍ᖿ஦
すᒣ ㈗ྐ㸦⚟ᒸ኱Ꮫ㸧
Takashi NISHIYAMA (Fukuoka University)e-mail: tnishiyama@fukuoka-u.ac.jp

௧࿴ 3 ᖺ 5 ᭶ 25 ᪥࡟➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘㸦࢜ࣥࣛ࢖ࣥ㸧ࡢඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥࡀ Remo ࢩࢫࢸ࣒ࢆ⏝࠸࡚㛤ദࡉࢀࡲࡋࡓ㸬ᑂᰝဨࡢཝṇ࡞ࡿᑂᰝ࡟ࡼࡾඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢆཷ㈹ࡉࢀࡓ᪉ࠎࡀỴᐃ࠸ࡓࡋࡲࡋ
ࡓ㸬ཷ㈹⪅࠾ࡼࡧඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵ
ࢩࣙࣥࡢᵝᏊࢆࡈ⤂௓ࡉࡏ࡚࠸ࡓࡔࡁࡲࡍ㸬 ᖺᗘ ཷ㈹⪅ΎỈ ཭ᩯ ࠙໭ᾏ㐨኱Ꮫࠚ⇕࢚ࢿࣝࢠ࣮㈓ⶶࡢࡓࡵࡢ
Al-Ni ྜ㔠⣔┦ኚ໬࣐࢖ࢡࣟ࢝
ࣉࢭࣝ



⏣㑔 ᣅ
࠙៞᠕⩏ሿ኱Ꮫࠚ㧗 ㉸ఏᑟ REBCO ⷧ⭷ࡢᴟప࣭ᙉ☢ሙୗ࡟࠾ࡅࡿ⇕ఏᑟ⋡ࡢ␗᪉ᛶ ᐃࡢ᳨ウᓊ㇂ ᐉᡂ ࠙ᮾி⌮⛉኱Ꮫࠚ⯟✵ᶵ࢚ࣥࢪࣥ⏝ணΰྜ஧ẁ⇞↝ჾ࡛Ⓨ⏕ࡍࡿ⇞↝᣺ືࡢࢲ࢖ࢼ࣑ࢡࢫᡭᔱ ⚽ᙲ ࠙኱㜰኱Ꮫࠚᅛᾮ⏺㠃ࡢẼయศᏊ྾╔ᒙ࡟㛵ࡍࡿᐇ㦂ⓗ◊✲

ཷ㈹⪅࡜㈹≧

5HPR ఍ሙࡢᵝᏊ௒ᅇࡢඃ⚽ࣉࣞࢮࣥࢸ࣮ࢩࣙࣥ㈹ࢭࢵࢩࣙࣥࡣ㸪
1 ࣮࣌ࢪࡢ࢔ࣆ࣮ࣝࢫࣛ࢖ࢻ࡟ࡼࡿ◊✲ෆᐜ࢔ࣆ࣮ࣝ㸪࠾ࡼࡧ Remo ࢆ⏝࠸ࡓ࢜ࣥࣛ࢖࡛ࣥࡢ◊✲Ⓨ⾲࡜࠸࠺ࢫࢱ࢖࡛ࣝ⾜ࢃࢀ㸪㉁␲ᛂ⟅ࢆྵࡵࡓ◊✲Ⓨ⾲ࡀᑂᰝᑐ㇟࡜࡞ࡾࡲࡋࡓ㸬ཧຍࡉࢀࡓㅮ
₇⪅ࡢⓙᵝࡣ Remo ࡢ࣍࣡࢖ࢺ࣮࣎ࢻᶵ⬟ࢆά⏝ࡋ㸪ື⏬ࡸ⿵ຓࢫࣛ࢖ࢻࢆຍ࠼ࡿ࡞࡝㸪⊂⮬ࡢᕤኵࢆจࡽࡋࡓⓎ⾲ࢆ⾜࠸ࡲࡋࡓ㸬ᕷᕝ 㐩ᇶ ࠙ᮾி኱Ꮫࠚ
Allen-Feldman ⌮ㄽ࡟ᇶ࡙࠸ࡓ
୕ඖ⣔࢔ࣔࣝࣇ࢓ࢫྜ㔠ࡢ⇕
ఏᑟゎᯒ
㸦㡰୙ྠ㸧

ఏ⇕ 2021 ᖺ 7 ᭶- 21 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE≉㞟ࠕ࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࠖ࡟࠶ࡓࡗ࡚
Preface to the Special Issue on “Open-Source Software and CAE”

୰ᕝ ៅ஧㸦ᐩᒣ┴❧኱Ꮫ㸧
Shinji NAKAGAWA (Toyama Prefectural University)e-mail: snakagaw@pu-toyama.ac.jp௒᫓㸪᪥ᮏࢆ௦⾲ࡍࡿ᭱᪂㗦ࢫ࣮ࣃ࣮ࢥࣥࣆࣗ
࣮ࢱࠕᐩᓅࠖࡀ᏶ᡂࡋ㸪ṇᘧ㐠⏝ࡀࢫࢱ࣮ࢺࡋࡲ
ࡋࡓ㸬ࠕᐩᓅࠖࡣ᪂ᆺࢥࣟࢼ࢘࢖ࣝࢫᑐ⟇࡛ࡶά⏝ࡉࢀ㸪㣕ἓࡸ࢚࢔ࣟࢰࣝࡢ㣕ᩓࡢᵝᏊࢆྍど໬ࡋࡓ⤖ᯝࡀከࡃࡢࢽ࣮ࣗࢫ࡛ྲྀࡾୖࡆࡽࢀࡿࡇ࡜࡛㸪ୡ㛫୍⯡࡛ࡢㄆ▱ᗘࡀୖࡀࡗ࡚࠸ࡿࡼ࠺࡛ࡍ㸬ࠕᐩᓅࠖࡢ࢔ࣉࣜࢣ࣮ࢩࣙࣥᐇຠᛶ⬟ࡣඛ௦ࠕிࠖ
ࡢ 100 ಸ௨ୖ࡜ࡶ࠸ࢃࢀࡲࡍ㸬ィ⟬ᶵࡢᛶ⬟ࡢྥୖࡣṆࡲࡿ࡜ࡇࢁࢆ▱ࡽ࡞࠸࡜࠸࠼ࡑ࠺࡛ࡍ㸬ࢹࢫࢡࢺࢵࣉ PC ྥࡅ CPU ࡛ࡶ㸪10 ࢆ㉸࠼ࡿࢥ࢔ᩘ
ࡢࡶࡢࡀࡍࡄ࡟ᡭ࡟ධࡾࡲࡍ㸬ࡇࡢࡼ࠺࡞ィ⟬ᶵࢆά⏝ࡋࡓ CAE࣭ᩘ್ࢩ࣑ࣗ
࣮ࣞࢩࣙࣥࢆᐇ᪋ࡍࡿࡓࡵࡢࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚
ὀ┠ࡉࢀ࡚࠸ࡿࡢࡀ㸪࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘
࢔࡛ࡍ㸬ከᩘࡢ CPU ࢥ࢔ࢆ౑ࡗࡓ୪ิィ⟬ࡢຠ⋡໬࡟ࡘ࠸࡚㢌ࢆᝎࡲࡍࡇ࡜࡞ࡃ฼⏝࡛ࡁࡿࡇ࡜ࡸ㸪୪ิᩘ࡟ᛂࡌࡓࣛ࢖ࢭࣥࢫᩱࢆẼ࡟ࡍࡿࡇ࡜࡞ࡃ
࣐ࢩࣥࢆࣇࣝά⏝࡛ࡁࡿ࡞࡝ࡢ฼Ⅼࡀᣲࡆࡽࢀ㸪ά⏝ࢆ᳨ウࡉࢀࡓ᪉ࡶከ࠸ࡢ࡛ࡣ࡞࠸࡛ࡋࡻ࠺࠿㸬ࡋ࠿ࡋ㸪࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆ฼⏝ࡋ
ࡓ CAE࣭ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ᪋ࡋࡼ࠺࡜ࡍࡿ࡜㸪ࡑࡢᑟධࢥࢫࢺ㸦ࢫ࣒࣮ࢬ࡟౑࠸ࡇ࡞ࡏࡿࡼ࠺࡟
࡞ࡿࡲ࡛ࡢ᫬㛫ࡸປຊ㸧ࡀࢿࢵࢡ࡜࡞ࡾ㸪᩿ᛕࡉࢀࡓ࡜࠸࠺ࡇ࡜ࡶከ࠸ࡼ࠺࡛ࡍ㸬⚾ࡀ࣮࢜ࣉࣥࢯ
࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE ࡟ྲྀ⤌ࢇ࡛ឤࡌࡓࡇ࡜ࡢ 1 ࡘ࡟㸪ၟ⏝ࢯࣇࢺࡢࣛ࢖ࢭࣥࢫᩱࡣ㸪㧗ࡃࡣ࡞࠸࡜࠸࠺ࡇ࡜࡛ࡍ㸬࠾㔠ࢆᡶ࠺࠿ࡽࡇࡑ㸪ၥ㢟ゎỴࡲ࡛ࡢ᫬㛫ࢆ▷⦰࡛ࡁࡿ㠃ࡀ࠶ࡾࡲࡍ㸬࡜ࡣ࠸࠼㸪࠸ࢁ࠸ࢁ࡞ไ⣙࣭ࡋࡀࡽࡳࢆྲྀࡾᡶ
࠸㸪㧗ᗘ࡞ࢯࣇࢺ࢙࢘࢔ࡢࢯ࣮ࢫࢥ࣮ࢻࢆ⮬⏤࡟ぢ࡚࣭ᨵ㐀࡛ࡁࡿࡇ࡜ࡣ㸪◊✲⪅࡟࡜ࡗ࡚ࡣ኱ࡁ
࡞႐ࡧ࡛ࡍ㸬࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡍࡿࡇ࡜࡛㸪◊✲ᡂᯝ࡜ࡋ࡚ࡢ▱㆑ࡔࡅ࡛࡞ࡃ㸪ࡉࡽ࡞ࡿ▱㆑ࢆ⏕ࡳฟࡍࢯ࣮ࢫࢥ࣮ࢻࢆᗈࡃඹ᭷
ࡋ㸪▱ࡢ๰㐀࡟㈉⊩ࡍࡿࡇ࡜ࡶᐜ᫆࡜࡞ࡾࡲࡍ㸬ᮏ≉㞟ྕ࡛ࡣ㸪࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆ

ఏ⇕ 2021 ᖺ 7 ᭶- 22 -

ά⏝ࡋࡓ CAE ࡢ⌧≧ࢆᗈࡃඹ᭷ࡋࡓ࠸࡜⪃࠼㸪」ᩘࡢࢯࣇࢺ࢙࢘࢔ࢆྲྀࡾୖࡆࡲࡋࡓ㸬ࡇࢀࢆࡁࡗ
࠿ࡅ࡜ࡋ࡚㸪ఏ⇕Ꮫ఍㛵ಀ⪅ࡢⓙᵝࡀ࣮࢜ࣉࣥࢯ
࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋ㸪▱ࡢ๰㐀࡜ඹ᭷ࡀࡉ
ࡽ࡟㐍ᒎࡍࡿ୍ຓ࡜࡞ࡿࡇ࡜ࢆ㢪ࡗ࡚࠾ࡾࡲࡍ㸬ὶయศ㔝࡛ࡣ㸪OpenFOAM ࡜࠸࠺࣮࢜ࣉࣥࢯ࣮
ࢫࢯࣇࢺ࢙࢘࢔ࡀୡ⏺୰࡛ά⏝ࡉࢀ࡚࠸ࡲࡍ㸬
OpenFOAM ࡢࢺ࣮ࣞࢻ࣐࣮ࢡ࡜㛤Ⓨࢳ࣮࣒ࡢ 1 ࡘࡣ⚾௻ᴗ࡛࠶ࡿ ESI ࢢ࣮ࣝࣉࡀᡤ᭷ࡋ࡚࠸ࡲࡍ㸬ྠࢢ࣮ࣝࣉࡢ୍ဨ࡛࠶ࡿ᪥ᮏ࢖࣮࢚ࢫ࢔࢖ᰴᘧ఍
♫ࡢ୕㑓⪃ᚿẶ࡟㸪OpenFOAM ࡢ⌧ᅾ࡜௒ᚋ࡟ࡘ
࠸࡚ࡈᐤ✏࠸ࡓࡔࡁࡲࡋࡓ㸬࠸ࢁ࠸ࢁ࡞ࣂ࣮ࢪࣙ
ࣥࡸ㛤Ⓨඖࡢ㛵ಀᛶࡸ㸪௻ᴗࢢ࣮ࣝࣉࡀඹྠฟ㈨ࡋ࡚ࡢ㛤Ⓨ౫㢗࡞࡝㸪ၟᴗ฼⏝࡜࣮࢜ࣉࣥࢯ࣮ࢫ
࡜ࡢ㛵ࢃࡾ࡞࡝ࡀゎㄝࡉࢀ࡚࠸ࡲࡍ㸬
OpenFOAM ࡢ௻ᴗ࡛ࡢά⏝஦౛࡜ࡋ࡚᪥❧〇సᡤࡢಖᆏ▱ᖾẶ࡟㸪኱Ꮫ࡛ࡢά⏝஦౛࡜ࡋ࡚ᮾ
໭኱Ꮫࡢᒣᮏ༟ஓẶ࡟㸪࣮࢜ࣉࣥࢯ࣮ࢫࡢ฼Ⅼࢆά࠿ࡋࡓ࢝ࢫࢱ࣐࢖ࢬࡶྵࡵ࡚⤂௓ࡋ࡚࠸ࡓࡔࡁ
ࡲࡋࡓ㸬࢚ࣥࢪࣥࡢ᭱㐺໬ࡸ㸪⁐⼥㔠ᒓจᅛ㐣⛬ࡢゎ᫂࡞࡝㸪㧗ᗘ࡞ෆᐜࡀゎㄝࡉࢀ࡚࠸ࡲࡍ㸬
OpenFOAM ࡟ྵࡲࢀࡿఏ⇕㛵㐃ᶵ⬟ࡢᴫせ࡟ࡘ࠸࡚ࡣ㸪⚾ࡀᐤ✏ࡉࡏ࡚࠸ࡓࡔࡁࡲࡋࡓ㸬⇕ὶయ࡜ᵓ㐀ኚᙧ࡜ࡢ㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡢゎㄝࢆ㸪ᒱ㜧ᕤᴗ㧗➼ᑓ㛛Ꮫᰯࡢᰘ⏣Ⰻ୍Ặ࡟ࡈᢸᙜ࠸ࡓࡔࡁࡲࡋࡓ㸬OpenFOAM ࡼࡾ౑࠸຾ᡭࡢ
Ⰻ࠸࡜ࡇࢁࡶ࠶ࡾ㸪GUI ࡛ࡢ᧯సㄝ᫂ࡶ࠶ࡾࡲࡍ㸬ࡲࡍࡲࡍ㛵ᚰࡢ㧗ࡲࡗ࡚࠸ࡿࣔࢹ࣮ࣝ࣋ࢫࢹࢨ
࢖ࣥ࡟㛵㐃ࡋ࡚㸪OpenModelica ࡢᩍ⫱࠿ࡽ◊✲ࡲ࡛ࡢᖜᗈ࠸ά⏝౛ࢆ㸪㊊฼኱Ꮫࡢす๛ఛẶ࡟ࡈ⤂௓࠸ࡓࡔࡁࡲࡋࡓ㸬࣐ࣝࢳࢻ࣓࢖ࣥࢩ࣑࣮ࣗࣞࢩ
ࣙࣥࡢ୍౛࡜ࡋ࡚㸪⇕࡜㟁Ẽࡢ㐃ᡂ࡞࡝」㞧࡞ၥ㢟࡬㐺⏝ࡉࢀ࡚࠸ࡲࡍ㸬ྛ✏ࡢ➹⪅ࡢⓙᵝ࡟ࡣ㸪ࡈከᛁ࡟ࡶ㛵ࢃࡽࡎཎ✏ᇳ➹ࢆ࠾ᘬࡁཷࡅ㡬ࡁࡲࡋࡓ㸬ࡇࡢሙࢆ೉ࡾ࡚
ឤㅰ⏦ࡋୖࡆࡲࡍ㸬

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ OpenFOAM ⌧ᅾ࡜௒ᚋ
㹼㛤Ⓨ࣭⥔ᣢࢆᨭ࠼ࡿࢥ࣑ࣗࢽࢸ࢕࡜ࡑࡢάື㹼
Current and future of OpenFOAM

㹼The community that supports development and maintenance㹼୕㑓 ⪃ᚿ㸦᪥ᮏ࢖࣮࢚ࢫ࢔࢖ᰴᘧ఍♫㸧
Takashi MINABE (ESI Japan. Ltd.)e-mail: takashi.minabe@esi-group.comබ㛤ࡉࢀࡿࡇ࡜࡛㸪࣮ࣘࢨ࣮࡟ࡼࡾ᳨ドࡉࢀᏳᐃࡋ㸪᪂ࡋ࠸ᢏ⾡ࡀᦚ㍕ࡉࢀࡿ࡜࠸࠺ࡇ࡜ࡔ࡜ゝࢃࢀ࡚࠸ࡲࡍ㸬
ESI-Group ࡢചୗ࡛࠶ࡿ OpenCFD ♫㸦௨ୗ
ESI-OpenCFD㸧ࡣ㸪࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚
ࡢ≉ᛶࢆ⏕࠿ࡋ㸪OpenFOAM ࡢ⥔ᣢ࡜㛤Ⓨࢆᨭ࠼ࡿࡓࡵ࡟㸪ࢥ࣑ࣗࢽࢸ࢕ࢆ❧ࡕୖࡆࡲࡋࡓ㸬௒ᅇࡣ㸪ࡇࡢࢥ࣑ࣗࢽࢸ࢕ࡢᴫせ㸪άືෆᐜ㸪ࡉࡽ࡟ OpenFOAM ࡢ㛤Ⓨ≧ἣ㸪࣮ࣜࣜࢫࣉࣟࢭ
ࢫ࡟ࡘ࠸࡚ࡈ⤂௓ࡋࡲࡍ㸬ၟ⏝ࢯࣇࢺ࢙࢘࢔࡜ࡣ␗࡞ࡿ㸪࣮࢜ࣉࣥࢯࣇࢺ
࢙࢘࢔ࡢ≉ᛶࢆ⏕࠿ࡋࡓ௙⤌ࡳ࡟ࡼࡾ㸪
OpenFOAM ࡢ㛤Ⓨ⥔ᣢࡀ⾜ࢃࢀ࡚࠸ࡿࡇ࡜ࢆ⌮ゎࡋ࡚࠸ࡓࡔࡅࢀࡤ࡜ᛮ࠸ࡲࡍ㸬㸯㸬ࡣࡌࡵ࡟
OpenFOAM ࡣඖࠎၟ⏝ࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚ࣜ
࣮ࣜࢫࡉࢀ㸪2004 ᖺ࡟ GNU General Public License࡟ἢࡗ࡚࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚බ㛤ࡉࢀࡲࡋࡓ㸬௒࡛ࡣ㸪໭⡿㸪ࢻ࢖ࢶ㸪୰ᅜ㸪࢖ࣥࢻ㸪ⱥᅜ㸪᪥ᮏ㸪ࣇࣛࣥࢫ㸪࢖ࢱࣜ࢔࡞࡝㸪ୡ⏺
ྛᅜ࡛ࢲ࣮࢘ࣥࣟࢻࡉࢀ㸪ከࡃࡢ◊✲ᶵ㛵㸪኱Ꮫ㸪௻ᴗ࡞࡝࡛౑⏝ࡉࢀ㸦ᅗ 1 ཧ↷㸧㸪ୡ⏺࡛᭱ࡶ౑⏝ࡉࢀ࡚࠸ࡿ 3 ࡘ CFD ࢥ࣮ࢻࡢ୍ࡘ࡜ゝࢃࢀ࡚࠸ࡲ
ࡍ㸬ࡉࡽ࡟㸪HPC ⎔ቃ࡛౑⏝ࡉࢀ࡚࠸ࡿࢯࣇࢺ࢘
࢙࢔ࡢࢺࢵࣉ 5 ࡟ࡶධࡗ࡚࠸ࡿ࡞࡝㸪ᗈࡃㄆ▱ࡉࢀࡿࡼ࠺࡟࡞ࡾࡲࡋࡓ㸬ࡇࡢ⫼ᬒ࡟ࡣ㸪↓ᩱ࡜࠸࠺ࡇ࡜ࡶ࠶ࡾࡲࡍࡀ㸪ከࡃࡢ࣮ࣘࢨ࣮࠿ࡽࡢࣇ࢕࣮ࢻࣂࢵࢡࢆᚓ࡚㸪ᶵ⬟ࡀ඘ᐇࡋᏳᐃࡋ㸪ከᵝ࡞ศ㔝࡛౑⏝ࡉࢀ࡚࠸ࡿ
ࡇ࡜ࡶ኱ࡁ࡞ࡢせᅉ࡜⪃࠼ࡽࢀࡲࡍ㸬

㸰㸬(6,2SHQ&)' ࣂ࣮ࢪࣙࣥ
OpenFOAM ࡣ 2004 ᖺ࡟࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔
໬ࡢᚋ㸪ᗄࡘ࠿ࡢࣂ࣮ࢪࣙࣥ࡟ᯞศ࠿ࢀ࡚࠸ࡲࡍ㸬ၟ⏝ࢯࣇࢺ࢙࢘࢔ࣛ࢖ࢡ࡞ᙧែ࡜࡞ࡗ࡚࠸ࡿࡶࡢ
ࡶ࠶ࡾࡲࡍࡀ㸪⌧ᅾ㸪࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔࡜ࡋ
࡚බ㛤ࡉࢀ࡚࠸ࡿ୺࡞ࡶࡢࡣ㸪ESI-OpenCFD ࣂ࣮ࢪࣙࣥ㸪Wiki ࣂ࣮ࢪࣙࣥ㸪OpenFOAM Foundationࣂ࣮ࢪࣙࣥࡢ 3 ࡘ࡜࡞ࡗ࡚࠸ࡲࡍ㸬㸦ᅗ 2 ཧ↷㸧ᅗ 1 2019 ᖺ OpenFOAM ࢲ࣮࢘ࣥࣟࢻẚ⋡ࡋ࠿ࡋ㸪࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔࡜࠸࠺༳㇟࠿ࡽ
࠿㸪࣓ࢪ࣮ࣕ࡞ၟ⏝ CFD ࢯࣇࢺ࢙࢘࢔࡜ẚ㍑ࡍࡿ
࡜㸪᪥ࠎࡢタィ㛤ᴗົ࡛ࡢ౑⏝࡟ࡣ㸪₍↛࡜ࡋࡓ୙Ᏻࡸࣁ࣮ࢻࣝࡢ㧗ࡉࢆឤࡌ࡚࠸ࡿࡢࡀ஦ᐇࡔ࡜
ᛮ࠸ࡲࡍ㸬࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔ࡢ≉ᛶࡣ㸪ࢥ࣮ࢻ⮬యࡶఏ⇕ 2021 ᖺ 7 ᭶

ᅗ 2 ୺࡞ OpenFOAM- 23 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࡉࢀ࡚࠸ࡲࡍ㸬࣓ࣥࣂ࣮ࡣ᭱ప 3 ᖺ㛫ࡢᅾ⡠ࡀồࡵࡽࢀ㸪ᖺ 2 ᅇ㛤ദࡍࡿ OpenFOAM Governance఍㆟࡟ཧຍࡋ㸪OpenFOAM 㛤Ⓨ⥔ᣢࡢ᪉ྥᛶ࡟ࡘ࠸ ࡚ ࡢ ㆟ ㄽ ࢆ ⾜ ࠸ ࡲ ࡍ 㸬 ࡲ ࡓ 㸪 ࡇ ࡢ Steering
Committee ࡟ࡣཧຍ఍㈝ࡀᚲせ࡜࡞ࡾ㸪ࡇࡢ఍㈝ࡣ㛤Ⓨ㛵㐃ࡸ Technical Committees ࡢάືࡢ㈝⏝࡜ࡋ࡚౑⏝ࡉࢀࡲࡍ㸬ࡑࢀࡑࢀࡢࣂ࣮ࢪࣙࣥ࡟㛵ࡍࡿ Web ࢧ࢖ࢺࢆ⾲ 1 ࡟ࡲ࡜ࡵࡲࡍ㸬⾲ 1 Web ࢧ࢖ࢺ୍ぴࣂ࣮ࢪࣙࣥWeb ࢧ࢖ࢺ
OpenCFD
https://www.openfoam.com/
Foundation https://openfoam.org/
Wiki
http://openfoamwiki.net/
ࡇࡢ࠺ࡕࡢ୍ࡘࢆ࣮ࣜࣜࢫࡋ࡚࠸ࡿ OpenCFD
ࡀ ESI-Group ࡢചୗ࡜࡞ࡗࡓᙜึࡣ㸪㛤Ⓨ/ᣑᙇࡋࡓ ࡶ ࡢ ࢆ OpenFOAM Foundation ࡟ ඹ ᭷ ࡋ 㸪Foundation ࣂ࣮ࢪࣙࣥ࡟ᦚ㍕ࡋ࡚බ㛤ࡋ࡚࠸ࡲࡋ
ࡓ㸬ࡋ࠿ࡋ㸪௻ᴗࡀ฼⏝ࡍࡿࢶ࣮ࣝ࡜ࡋ࡚ࡣࠕࣂ࣮
ࢪࣙࣥ࢔ࢵࣉ᫬ᮇࡀ୙ᐃᮇࠖ㸪≉࡟㸪ᶵ⬟㛤Ⓨ࡟ᢞ㈨ࡋࡓ࣮ࣘࢨ࣮࠿ࡽࡣ㸪ࠕ㛤Ⓨࡉࢀࡓᶵ⬟ࡢබ㛤᫬
ᮇࡀ୙㏱᫂ࠖ
㸪ࠕ㛤Ⓨ∧ࢆఱ᫬ࡲ࡛౑࠸⥆ࡅࡿᚲせࡀ࠶ࡿࡢ࠿ࡀ୙᫂☜ࠖ࡞࡝ࡢ⌮⏤࠿ࡽ㸪ࣂ࣮ࢪࣙࣥ࢔ࢵࣉ࡜࣮ࣜࢫ࡟ࡘ࠸࡚ࡢᨵၿせᮃࡀ࠶ࡾࡲࡋ
ࡓ㸬ࡑࡇ࡛㸪ESI-OpenCFD ࡣ⊂⮬ࡢࣂ࣮ࢪࣙࣥࢆ
࣮ࣜࣜࢫࡍࡿࡇ࡜࡛㸪ࡇࢀࡽࡢᨵၿせᮃ࡟ᑐᛂࢆ
ࡍࡿࡇ࡜࡜ࡋࡲࡋࡓ㸬᭱ึࡢࣂ࣮ࢪࣙࣥࡣ 2016
ᖺ 1 ᭶࡟ OpenFAOM-v3.0+࡜ࡋ࡚࣮ࣜࣜࢫࡉࢀ㸪ࡑࡢᚋࡣ 6 ᭶࡜ 12 ᭶ࡢ༙ᖺࡈ࡜࡟࣮ࣜࣜࢫࡉࢀ࡚
࠸ࡲࡍ㸬⌧ᅾࡢࣂ࣮ࢪࣙࣥࡣ 4 ᱆ࡢ␒ྕ࡛⟶⌮ࡉࢀ㸪౛࠼ࡤ㸪2020 ᖺࡢ 12 ᭶࡟࣮ࣜࣜࢫࡉࢀࡓࣂ
࣮ࢪࣙࣥࡣ OpenFOAM-v2012 ࡜࡞ࡗ࡚࠸ࡲࡍ㸬ᅗ 3 OpenFOAM Governance ᴫせ 7HFKQLFDO&RPPLWWHHV
Technical Committees ࡣ⌧ᅾ 9 ࡘ࠶ࡾ㸪ࡑࢀࡒࢀ࡟ࢳ࢙࢔࣐ࣥࡀᏑᅾࡋ㸪஘ὶ㸪ΰ┦ὶ㸪ᩘ್ィ⟬ᡭἲ㸪࣓ࢵࢩࣗసᡂࡢࡼ࠺࡞ CFD ࡢᵓᡂᢏ⾡࠿ࡽ㸪ᾏὒ㸪⮬ື㌴㸪ཎᏊຊࡢࡼ࠺࡞࢔ࣉࣜࢣ࣮ࢩࣙࣥ
࡟≉໬ࡋࡓࡶࡢ㸪HPC 㛵㐃ᢏ⾡࡞࡝㸪ࡑࢀࡒࢀࡢ
ࢸ࣮࣐ࢆᣢࡗ࡚άືࡋ࡚࠸ࡲࡍ㸬ࡑࡋ࡚㸪Steering
Committee ࡬㸪OpenFOAM ࡢᶵ⬟ᣑᙇ࡟㛵ࡋ࡚ᥦ᱌ࡸ㛤Ⓨࢥ࣮ࢻࡢᥦ౪ࡶ⾜࠸ࡲࡍ㸬ࡇࡢ Committee ࡢ≉ᚩⓗ࡞άື࡟ OpenFOAM
Journal ࡀ࠶ࡾࡲࡍ㸬ࡇࢀࡣ Document and Tutorial
Committee ࡀ୰ᚰ࡜࡞ࡾ OpenFOAM ࢆ⏝࠸ࡓᡂᯝࢆㄽᩥ࡜ࡋ࡚බ㛤ࡍࡿྲྀࡾ⤌ࡳ࡟࡞ࡾࡲࡍ㸬ࡶࡕࢁࢇ㸪ࡇࡢ OpenFOAM Journal ࡟ࡣㄡ࡛ࡶⓏ㘓ࡍࡿࡇ࡜ࡀ࡛ࡁࡲࡍ㸬ࡲࡓ㸪ᚋグࡢ exaFOAM ࣉࣟࢪ࢙ࢡࢺ࡛ࡣ HPC
Technical Committees ࡀ࢖ࢽࢩࣕࢸ࢕ࣈࢆᣢࡗ࡚
άືࡋ࡚࠸ࡲࡍ㸬ྛ Committee ࡟ࡘ࠸࡚ヲ⣽ࢆ▱ࡾࡓ࠸ሙྜࡣ㸪ୗグࢧ࢖ࢺࢆࡈぴࡃࡔࡉ࠸㸬https://www.openfoam.com/governance/technical-committees㸱㸬2SHQ)2$0*RYHUQDQFH
ESI-OpenCFD ࡣ OpenFOAM ࡢ⥔ᣢ࡜㛤Ⓨࢆ⥅⥆ࡍࡿࡓࡵ࡟㸪2018 ᖺ࡟ OpenFOAM Governance࡜࠸࠺ࢥ࣑ࣗࢽࢸ࢕ࢆ❧ࡕୖࡆࡲࡋࡓ㸬ࡇ ࡢ ࢥ ࣑ ࣗ ࢽ ࢸ ࢕ ࡣ 㸪 ୰ ᚰ ࡜ ࡞ ࡿ Steering
Committee ࡜㸪ࡑࢀࡒࢀ࡟ᢏ⾡ⓗ࡞ࢸ࣮࣐ࢆᣢࡗ
ࡓ」ᩘࡢ Technical Committees ࡛ᵓᡂࡉࢀ࡚࠸ࡲ
ࡍ㸬ᅗ 3 ࡟ࡇࡢ OpenFOAM Governance ࡢᴫせ࢖࣓࣮ࢪᅗࢆ♧ࡋࡲࡍ㸬ヲ⣽࡞᝟ሗࡣୗグࢧ࢖ࢺ࡛☜ㄆࡀ࡛ࡁࡲࡍ㸬https://www.openfoam.com/governance/ 6WHHULQJ&RPPLWWHH⌧ ᅾ ࡢ Steering Committee ࡢ ࣓ ࣥ ࣂ ࣮ ࡣ 㸪
ESI-OpenCFD ࡣࡶࡕࢁࢇࡢ஦㸪࣮ࣚࣟࢵࣃࡸ໭⡿ࡢ኱ᡭ⮬ື㌴ OEM ࠿ࡽ㸪CAE 㛵㐃ࡢࢥࣥࢧࣝࢱ
ࣥࢺࢧ࣮ࣅࢬ఍♫㸪኱Ꮫࡢ◊✲ᶵ㛵࡞࡝࠿ࡽᵓᡂ

ఏ⇕ 2021 ᖺ 7 ᭶

ࡼࡾヲ⣽࡞᝟ሗࢆᚓࡿࡇ࡜ࡀ࡛ࡁࡲࡍ㸬
OpenFOAM Journal ࡢヲ⣽☜ㄆࡸⓏ㘓ࡣୗグࢧ࢖ࢺ࠿ࡽ⾜࠼ࡲࡍ㸬https://journal.openfoam.com- 24 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࡿዎ⣙࣮ࣘࢨ࣮࡛࠶ࢀࡤ㸪௵ពࡢ࣋ࣥࢳ࣐࣮䜽䜿࣮ࢫ࡛࣮ࣜࣜࢫẖ࡟᳨ドࡉࢀ㸪ࡑࡢ⤖ᯝࢆ࣮ࣜࣜ
ࢫẖ࡟☜ㄆࡍࡿࡇ࡜ࡶྍ⬟࡜࡞ࡾࡲࡍ㸬 2QH2SHQ)2$0
OpenFOAM Governance ࡢࢸ࣮࣐ࡢ୍ࡘ࡟͆One
OpenFOAM͇࡜࠸࠺ࡶࡢࡀ࠶ࡾࡲࡍ㸬ࡇࢀࡣᯞศ
࠿ࢀࡋࡓ OpenFOAM ࢆ୍ࡘ࡟⤫ྜࡍࡿ࡜࠸࠺ࡶ
ࡢ࡛ࡣ࡞ࡃ㸪ࡑࢀࡒࢀ࡛⮬⏤࡟㛤Ⓨࡉࢀබ㛤ࡉࢀࡓࡶࡢࢆ㸪ྍ⬟࡞㝈ࡾ ESI-OpenCFD ࣂ࣮ࢪࣙࣥ࡟
཯ᫎࡉࡏ࡚࠸ࡃ࡜࠸࠺ࡶࡢ࡛ࡍ㸬㸦ᅗ 4 ཧ↷㸧౛࠼ࡤ㸪␗࡞ࡿ FOAM extend ࣂ࣮ࢪࣙࣥࢆබ㛤ࡋ࡚࠸ࡿ㸪Wiki ࡢ࣓ࣥࣂ࣮ࡶ Technical Committees࡟ཧຍࡋ㸪✚ᴟⓗ࡟᝟ሗඹ᭷ࢆ⾜ࡗ࡚࠸ࡲࡍ㸬⾲ 2 ࣮ࣜࣜࢫ๓ࢸࢫࢺࢣ࣮ࢫ
⣙ 5 ᫬㛫(One Night)ࡢᐇ⾜ࢸࢫࢺ
700 ᙉࡢᶵ⬟☜ㄆࢸࢫࢺ
Medium ⣙ 400 ࢣ࣮ࢫ࡟ࡼࡿࣂࣜࢹ࣮ࢩࣙࣥ
2 ᪥㛫⛬ᗘࡢ᫬㛫(1 ᅇ/㐌)Large㢳ᐈᥦ౪ࡢ⣙ 20 ࢣ࣮ࢫ
ᩘ 100 ୓ࢭࣝࢣ࣮ࢫ࡛ࡢᐃᖖ/㠀ᐃᖖ⣙ 1 㐌㛫(࣮ࣜࣜࢫẖ࡟ᐇ᪋)
Small

OpenFOAM ࡟ࡣၟ⏝ࢥ࣮ࢻࡢᵝ࡞ࣛ࢖ࢭࣥࢫ
ዎ⣙࡟ࡼࡿရ㉁ಖドࡀ࠶ࡾࡲࡏࢇࡀ㸪ዎ⣙࣮ࣘࢨ
࣮ࡣ㸪OpenFOAM ࡢ౑⏝┠ⓗ/ᑐ㇟࡟ᑐࡋ࡚ྠ➼ࡢရ㉁ಖドࢆᚓࡿࡇ࡜ࡀྍ⬟࡟࡞ࡾࡲࡍ㸬 ࡲࡓ㸪ESI-OpenCFD ࣂ࣮ࢪࣙࣥࡣ㸪࣮ࣜࣜࢫయ
ไࢆᩚ࠼ࡓࡇ࡜࡟ࡼࡾ㸪2015 ᖺ࡟ ISO9001 ࢆྲྀᚓࡋ࡚࠸ࡲࡍ㸬

ᅗ 4 One OpenFOAM ࡢ⪃࠼᪉㸲㸬(6,2SHQ)2$0 ࡢ࣮ࣜࣜࢫ๓ࢸࢫࢺ
๓グࡢᵝ࡟㸪ESI-OpenCFD ࡛ࡣ㸪ẖᖺ 6 ᭶࡜ 12᭶ࡢ༙ᖺẖ࡟ࣂ࣮ࢪࣙࣥ࢔ࢵࣉࢆ࠾ࡇ࡞ࡗ࡚࠾ࡾ
ࡲࡍ㸬ḟᮇࣂ࣮ࢪ࡛ࣙࣥࡢ࣮ࣜࣜࢫணᐃ࡜࡞ࡗࡓᶵ⬟ࡣࣜࢫࢺ࢔ࢵࣉࡉࢀ㸪≧ἣࢆ☜ㄆࡋ࡞ࡀࡽ᭦᪂ࡉ
ࢀ࡚࠸ࡁࡲࡍ㸬ḟᮇ࣮ࣜࣜࢫࡲ࡛࡟㸪༑ศ࡞௙ᵝ
࡛ࡢ㛤Ⓨࡸ㸪᳨ドࡀ㛫࡟ྜࢃ࡞࠸ࡶࡢࡣ㸪࣮ࣜࣜࢫࡀᘏᮇࡉࢀ㸪ࣜࢫࢺ࠿ࡽእࢀ࡚࠸ࡁࡲࡍ㸬ṧࡗࡓࡶࡢࡀ᪂ࣂ࣮ࢪࣙࣥ࡟ᦚ㍕ࡉࢀ࣮ࣜࣜࢫࡉࢀࡲ
ࡍ㸬ࣂ࣮ࢪࣙࣥ࢔ࢵࣉ࡟ྥࡅ࡚㸪ESI-OpenCFD ࡛ࡣ㸪
OpenFOAM ࡢရ㉁ࢆ⥔ᣢࡍࡿࡓࡵ࡟ 3 ࡘࡢࣞ࣋ࣝ
࡛ࡢࢸࢫࢺࢆ⾜ࡗ࡚࠸ࡲࡍ㸬⾲ 1 ࡟ྛࣞ࣋ࣝࡢᴫ
せࢆ㸪ᅗ 5 ࡟࣮ࣜࣜࢫࡲ࡛ࡢྛࣞ࣋ࣝࡢࢸࢫࢺᐇ
᪋㢖ᗘࡢ࢖࣓࣮ࢪᅗࢆグ㍕ࡋࡲࡍ㸬
Small ࡸ Medium ࡛ࣞ࣋ࣝ⏝࠸ࡿࢸࢫࢺࢣ࣮ࢫ
ࡣࢳ࣮ࣗࢺࣜ࢔ࣝ࡜ࡋ࡚බ㛤ࡉࢀࡿࡶࡢࡶྵࢇ࡛
࠸ࡲࡍࡀ㸪Large ࡛ࣞ࣋ࣝ౑⏝ࡍࡿࢣ࣮ࢫࡣ㸪ESI-OpenCFD ࡜ዎ⣙ࡋ࡚࠸ࡿ࣮ࣘࢨ࣮࠿ࡽᥦ౪
ࡉࢀࡓࢣ࣮ࢫ࡜࡞ࡾࡲࡍ㸬ィ⟬ࡢᏳᐃᛶ㸪⤖ᯝࡢ⢭ᗘ➼ࢆ᳨ドࡋ㸪ዎ⣙࣮ࣘࢨ࣮ࡢࡳ࡟ሗ࿌ࡉࢀࡲ
ࡍ㸬౛࠼ࡤ㸪✵ຊホ౯࡟ OpenFOAM ࢆ౑⏝ࡋ࡚࠸ఏ⇕ 2021 ᖺ 7 ᭶- 25 -

ᅗ 5 ࣮ࣜࣜࢫ๓ࢸࢫࢺࢣ࣮ࢫࡢᐇ᪋㢖ᗘ
㸳㸬2SHQ)2$0 ࡢ㛤Ⓨ ࣮ࣘࢨ࣮ࣜࢡ࢚ࢫࢺ࡟ࡼࡿ㛤Ⓨ
OpenFOAM ࡢ㛤Ⓨ/ᣑᙇࡣ㸪୺࡟࣮ࣘࢨ࣮࠿ࡽ
ࡢࣜࢡ࢚ࢫࢺ࡟ࡼࡾ㛤Ⓨࡀ⾜ࢃࢀ࡚࠸ࡲࡍ㸬ࣜࢡ࢚ࢫࢺࡢෆᐜࡣ㸪ၟ⏝ࢯࣇࢺ࢙࢘࢔࡟᭷ࡗ࡚
OpenFOAM ࡟↓࠸ᶵ⬟ࡢ㏣ຍࡸ㸪ẚ㍑ⓗ᪂ࡋ࠸ᢏ⾡ࡢ཯ᫎ➼ᵝࠎ࡛ࡍ㸬㛤Ⓨ㈝ࡣࣜࢡ࢚ࢫࢺࡋࡓ࣮ࣘࢨ࣮࠿ࡽࡢᢞ㈨࡟
ࡼࡾࡲ࠿࡞ࢃࢀ㸪㏻ᖖ㸪ESI-OpenCFD ࡢ࢚ࣥࢪࢽ
࢔ࡀ㛤Ⓨసᴗࢆ⾜࠸㸪ࡑࡢᚋ㸪᪂ᶵ⬟࡜ࡋ࡚බ㛤ࡉࢀࡲࡍ㸬㛤Ⓨࣉࣟࢪ࢙ࢡࢺ࡟ࡣ㸪༢⊂࣮ࣘࢨ࣮࠿ࡽࡢሙ
ྜ࡜」ᩘࡢ࣮ࣘࢨ࣮࠿ࡽࡢඹྠฟ㈨࡜࡞ࡿሙྜࡀ࠶ࡾࡲࡍ㸬

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE༢⊂ࡢሙྜࡣ,ᢏ⾡ⓗ࡞ྍ⬟ᛶࢆ㆟ㄽ㸪᳨ウࡋ௙
ᵝỴᐃᚋ࡟㛤Ⓨࡉࢀᐇ⿦ࡉࢀࡲࡍ㸬ࡋ࠿ࡋ㸪ࣜࢡ࢚ࢫࢺࡋࡓ࣮ࣘࢨ࣮ࡢ┠ⓗ࡟ᑐࡋ࡚௙ᵝࡀỴࡵࡽࢀࡿࡓࡵ㸪௚ࡢ࣮ࣘࢨ࣮ࡢゎᯒᑐ㇟࡟ࡣᑐᛂ࡛ࡁ
࡞࠸➼㸪௙ᵝୖࡢไ㝈࡜࡞ࡿࡇ࡜ࡶ࠶ࡾࡲࡍ㸬ࡇࡢሙྜ㸪ࡉࡽ࡟㸪ᚲせ࡜ࡍࡿ࣮ࣘࢨ࣮࠿ࡽࡢࣜࢡ
࢚ࢫࢺ࡛ᶵ⬟ᣑᙇࡀ⾜ࢃࢀ㸪OpenFOAM ࡀᣑᙇࡉࢀ࡚࠸ࡁࡲࡍ㸬ࡇࡢ୍౛࡜ࡋ࡚㸪ࠕ᪥ᑕ㔞ィ⟬ᶵ⬟ࠖࡀ࠶ࡾࡲࡍ㸬ࡇࡢᶵ⬟ࡣ㸪᭱ึ࡟ᇶᮏⓗ࡞ᶵ⬟ࡀᦚ㍕ࡉࢀ㸪ḟ࡟ࠕ㙾㠃཯ᑕ㸦ᅗ 6㸧ࠖࡀ⪃៖࡛ࡁࡿࡼ࠺࡟࡞ࡾ㸪v2012 ࡛ࡣࠕ᪥ᑕ㔞ࡢ྾཰㡿ᇦ㸦ᅗ 7㸧ࠖࢆ⪃៖࡛ࡁࡿࡲ࡛ᣑᙇࡉࢀ࡚࠸ࡲࡍ㸬ࡇࢀࡽࡣ㸪␗࡞ࡿ࣮ࣘࢨ࣮࠿ࡽࡢࣜࢡ࢚ࢫࢺ࡟ࡼࡾᣑᙇࡉࢀ࡚࠸ࡲࡍ㸬

ඹྠฟ㈨࡛㛤Ⓨࡉࢀࡓ௦⾲ⓗ࡞ࡶࡢ࡜ࡋ࡚ࡣ㸪
compressibleInterFoam㸦ᅽ⦰ᛶΰ┦ὶ㸧㸪fireFoam
㸦ᅛయ⾲㠃⇞↝㸧
㸪Overset Grid㸦㔜ྜ᱁Ꮚ㸧ࡀ࠶ࡾࡲࡍ㸬ᶵ⬟ࡢᇶᮏ㒊ศ࡟㛵ࡋ࡚ࡣ㸪ྛ࣮ࣘࢨ࣮࡛㛤Ⓨ㈝ࢆศᢸࡍࡿࡇ࡜࡟࡞ࡾࡲࡍࡀ㸪␗࡞ࡿ฼⏝┠ⓗ࡟ࡓࡋ࡚ࡢࣜࢡ࢚ࢫࢺ㸪౛࠼ࡤ㸪ቃ⏺᮲௳ࡸ௚ᶵ
⬟࡜ࡢ࢝ࢵࣉࣜࣥࢢ➼ࡣಶูᑐᛂ࡜࡞ࡾࡲࡍ㸬ࡲࡓ㸪CFD ࡣᖜᗈ࠸≀⌮⌧㇟࡟ᑐᛂࡋ࡚࠸ࡲࡍ㸬᫬࡟ࡣᑓ㛛ᛶࡀ㧗ࡃ㸪ESI-OpenCFD ࡔࡅ࡛ࡣᑐᛂ
࡛ࡁ࡞࠸ࡶࡢࡶ࠶ࡾࡲࡍ㸬ࡇࡢሙྜࡣ㸪ࡼࡾ㧗࠸ᑓ㛛ᛶࢆᣢࡘ Technical Committees ࡢ࣓ࣥࣂ࣮ࡀ
㛤Ⓨࢆᢸᙜࡋ㸪ESI-OpenCFD ࡛ᐇ⿦࡜☜ㄆ᳨ドࢆ⾜࠸㸪බ㛤ࡍࡿ࡜࠸࠺ࡇ࡜ࡶ࠶ࡾࡲࡍ㸬 2SHQ)2$0*RYHUQDQFH ࡀ୰ᚰ࡜࡞ࡿ㛤Ⓨ࣮ࣘࢨ࣮࠿ࡽࡢࣜࢡ࢚ࢫࢺ࡟ᑐᛂࡋࡓ㛤Ⓨࡣ㸪ࢯࣝࣂ࣮ᶵ⬟ࡢᣑᙇ㸪ቃ⏺᮲௳ࡢ㏣ຍ㸪࣓ࢵࢩ࣮ࣕࡢᨵၿ㸪ࣉ࣏ࣜࢫࢺฎ⌮ᶵ⬟ࡢ㏣ຍ➼㸪CFD ࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚ࡢᯞⴥⓗ࡞㒊ศࡀ୺࡞┠ⓗ࡜࡞ࡿഴྥࡀ࠶ࡾࡲࡍ㸬ࡋ࠿ࡋ㸪ࡇࡢࡼ࠺࡞࢔ࣉࣜࢣ
࣮ࢩࣙࣥࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚ࡢ⾲࡟ぢ࠼ࡿ㒊ศ࡛࡞ࡃ㸪᰿ᖿ㸪ࡶࡋࡃࡣ᰿ᖿ࡟㏆࠸㒊ศࡢ㛤Ⓨཬࡧᣑᙇ࡟㛵ࡋ࡚ࡶ⾜࠺ᚲせࡀ࠶ࡾࡲࡍ㸬౛࠼ࡤ㸪᫖௒ࡢࢡࣛ࢘ࢻࡸ HPC ➼ࡢ୪ิฎ⌮ࡀᙜࡓࡾ๓࡜࡞ࡿࣁ࣮ࢻ࢙࢘࢔⎔ቃࡢኚ໬࡟ᑐࡋ࡚
ࡢᑐᛂࡀ୍౛࡜ࡋ࡚࠶ࡆࡽࢀࡲࡍ㸬ၟ⏝ࢯࣇࢺ࢙࢘࢔ࡢሙྜ͆➇ྜ௚♫࡜ࡢᕪู໬͇
ࡸ࣐࣮͆ࢣࢵࢺࢽ࣮ࢬ࡬ࡢᑐᛂ͇ࢆࣅࢪࢿࢫどⅬ࠿ࡽぢᤣ࠼㸪࣋ࣥࢲ࣮ࡢุ᩿࡛ᑐᛂࡋ࡚࠸ࡁࡲࡍ
ࡀ㸪࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔࡛ࡣࡇࢀࡽࡢ͆ࣅ
ࢪࢿࢫⓗ࡞どⅬ͇ࡀᙜ࡚ࡣࡲࡽ࡞ࡃ࡞ࡾࡲࡍ㸬ࡋ࠿ࡋ㸪࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔ࡣ͆ㄡ࡛ࡶධᡭ
࡛ࡁࢥ࣮ࢻᣑᙇ࡛ࡁࡿ͇࡜࠸࠺≉ᚩ࠿ࡽ㸪ẚ㍑ⓗ
ᐜ᫆࡟ඹ㏻ࡢ◊✲㛤Ⓨࡢ㢟ᮦ࡜࡞ࡾ࠼ࡲࡍ㸬᪂ࡋ࠸ᢏ⾡ࡢ㛤Ⓨࡸヨࡳ࡜࠸࠺どⅬ࡛⪃࠼ࢀࡤ㸪ࡇࡢ≉ᛶࢆ⏕࠿ࡋ㸪ከᵝ࡞❧ሙ࠿ࡽࡢ࣓ࣥࣂ࣮ࡀཧຍ
ࡋ࡚㸪✚ᴟⓗ࡟᪂ࡋ࠸ᢏ⾡㛤Ⓨ࡟ྲྀࡾ⤌ࡴࡇ࡜ࡶྍ⬟࡛ࡍ㸬
2021 ᖺ࠿ࡽ㛤ጞࡉࢀࡿ OpenFOAM ࢆ⏝࠸ࡓ࢚ࢡࢧࢫࢣ࣮ࣝࢥࣥࣆ࣮ࣗࢸ࢕ࣥࢢ࡬ࡢᑐᛂࢆ┠ⓗ࡜ࡋࡓࣉࣟࢪ࢙ࢡࢺ͆exaFOAM͇ࡣࡇࡢ୍౛࡜ゝ࠼ࡲࡍ㸬ᅗ 6 㙾㠃཯ᑕࢆ⪃៖ࡋࡓ᪥ᑕ㔞ィ⟬

ᅗ 7 ᪥ᑕ㔞྾཰㡿ᇦࢆ⪃៖ࡋࡓィ⟬౛ඹྠฟ㈨ࡢሙྜࡣ㸪࣮ࣘࢨ࣮㸦ฟ㈨⪅㸧ẖ࡛ゎᯒᑐ㇟࡜┠ⓗࡀ␗࡞ࡿࡓࡵ㸪ࡼࡾከᵝ࡞௙ᵝ࡜࡞ࡾࡲࡍ㸬ఏ⇕ 2021 ᖺ 7 ᭶- 26 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
㸴㸬ࡲ࡜ࡵ
᫖௒㸪Linuxࢆࡣࡌࡵ࡜ࡋ࡚㸪Ⰽࠎ࡞ศ㔝࡛࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔ࡀ౑⏝ࡉࢀ࡚࠸ࡲࡍ㸬࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔ࡣ㸪ࣇ࣮࡛ࣜ౑⏝࡛ࡁࡿ࡜࠸࠺ࡔࡅ
࡛࡞ࡃ㸪ࢥ࣮ࢻ⮬యࡶබ㛤ࡉࢀ࡚࠸ࡲࡍ㸬ࡼࡗ࡚㸪࣮ࣘࢨ࣮⮬㌟ࡀࢥ࣮ࢻ⮬యࡢᨵⰋࢆ⾜࠺஦ࡶྍ⬟࡛ࡍࡋ㸪ࡉࡽ࡟㸪」ᩘࡢ࣮ࣘࢨ࣮ࡀྠࡌࢯࣇࢺ࢘
࢙࢔ࢆࣉࣛࢵࢺࣇ࢛࣮࣒࡜ࡋ࡚฼⏝ࡋ┠ⓗࢆඹ᭷ࡍࡿࡇ࡜࡛㸪ከᵝ࡞❧ሙ࠿ࡽࡢࢥ࣮ࣛ࣎ࣞࢩࣙࣥ
ࡀ㉳ࡇࡾ㸪᪂ࡋ࠸ᢏ⾡ࡀ⏕ࡲࢀ㸪Ⓨᒎࡢຍ㏿ࡶᮇᚅ࡛ࡁࡲࡍ㸬
CFD ࢯࣇࢺ࢙࢘࢔ࡣከ✀ከᵝ࡞┠ⓗ࡛㸪⮬ື㌴㸪㔜ᕤ㸪ᘓ⠏㸪໬Ꮫᮦᩱ㸪㟁Ꮚᶵჾ㸪་⒪࡞࡝࡟ᦠࢃࡿ࢚ࣥࢪࢽ࢔ࡀタィ࣭◊✲㛤Ⓨࢆ┠ⓗ࡜ࡋ࡚฼⏝ࡋ࡚࠸ࡿࢶ࣮ࣝ࡜࡞ࡗ࡚࠸ࡲࡍ㸬
OpenFOAM ࡣ CFD ࡢࢶ࣮ࣝ࡜ࡋ࡚౑⏝࡛ࡁࡿ㸪࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔࡛㸪࣮ࣘࢨ࣮ࡢࡶࡢ࡜఩⨨࡙ࡅࡽࢀ࡚࠸ࡲࡍ㸬බ㛤ࡉࢀࡓᢏ⾡ࡀඹ᭷ࡉࢀ㸪ከᵝ࡞ศ㔝࡛౑⏝ࡉࢀ㸪ࢥ࣮ࣛ࣎ࣞࢩࣙࣥࢆᐇ⌧࡛ࡁࡲࡍ㸬
OpenFOAM ࡀ࣋ࢫࢺ࡛࠶ࡿ࡜ࡣゝ࠸࠼ࡲࡏࢇ
ࡀ㸪࣮࢜ࣉࣥࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚࣮ࣜࣜࢫᚋ㸪☜ᐇ࡟Ⰻࡃ࡞ࡗ࡚ࡁ࡚࠸ࡿ࡜ゝ࠼ࡲࡍ㸬௒ᚋࡶ㸪ከࡃࡢ࣮ࣘࢨ࣮࡟౑⏝ࡉࢀ㸪᝟ሗࡀබ㛤ࡉࢀࡿࡇ࡜
࡛㸪⥅⥆ࡋⓎᒎࡋ࡚࠸ࡃࡇ࡜ࡀᮇᚅ࡛ࡁࡿ࡜ᛮ࠸
ࡲࡍ㸬ᅗ 8 OpenFOAM ࡢ㛤Ⓨ࢖࣓࣮ࢪࡇࡢࣉࣟࢪ࢙ࢡࢺࡣ OpenFOAM Governance ࡀ୺ᑟ࡛௻⏬ࡋࡓࣉࣟࢪ࢙ࢡࢺ࡛㸪HPC Technicalcommittee ࡀ୰ᚰ࡜࡞ࡗ࡚⾜ࢃࢀࡲࡍ㸬ࡇࡢᵝ࡟㸪OpenFOAM Governance ࡟ࡼࡾ㸪ࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚ᚲせ࡜⪃࠼ࡽࢀࡿᢏ⾡㛤Ⓨ࡟ࡶᑐᛂ࡛ࡁࡿࡼ࠺࡟࡞ࡾ㸪ࡼࡾࣂࣛࣥࢫࡢⰋ࠸㛤Ⓨయไࡀᩚ࠼ࡽࢀ࡚࠸ࡲࡍ㸬ఏ⇕ 2021 ᖺ 7 ᭶- 27 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE

OpenFOAM ࢆ⏝࠸ࡓ⮬ື㌴⏝࢚ࣥࢪࣥࡢࢩ࣑࣮ࣗࣞࢩࣙࣥᢏ⾡ࡢ㛤Ⓨ
Numerical Simulation for Internal Combustion Engine Using OpenFOAM

ಖᆏ ▱ᖾ㸪ග⸨ ೺ኴ㸪ᮡ஭ Ὀ௓㸪⡿㇂ ┤ᶞ㸦᪥❧〇సᡤ㸧Tomoyuki HOSAKA, Kenta MITSUFUJI, Taisuke SUGII, Naoki YONEYA (Hitachi, Ltd.)㸯㸬ࡣࡌࡵ࡟ᆅ⌫ ᬮ໬㜵Ṇ࡟ྥࡅ࡚㸪⮬ື㌴࡬ࡢ⇞㈝つไࡀᙉ໬ࡉࢀ࡚࠸ࡿ㸬㟁Ẽ⮬ື㌴㸦Electric Vehicle: EV㸧ࡢᕷሙᣑ኱ࡀᚲ⮳࡛࠶ࡿ୍᪉࡛㸪ࣛ࢖ࣇࢧ࢖ࢡ࡛ࣝ
ࡢ CO2 ᤼ฟ๐ῶࡢほⅬ࠿ࡽ 2030 ᖺ௨㝆ࡶෆ⇞࢚ࣥࢪࣥࢆᦚ㍕ࡋࡓࣁ࢖ࣈࣜࢵࢻ㌴ࡀ㧗࠸ᕷሙࢩ࢙࢔
ࢆᣢࡘ࡜⪃࠼ࡽࢀ࡚࠾ࡾ[1]㸪㟁ື㌴࡬ࡢࢩࣇࢺ࡜
࢚ࣥࢪࣥࡢ⇕ຠ⋡ᨵၿࡢ୧㍯࡛ࡢ CO2 ๐ῶࡀᚲせ࡛࠶ࡿ㸬⮬ື㌴⏝࢚ࣥࢪࣥࡢ⇞㈝ࡸ᤼Ẽࡢᨵၿࡢࡓࡵ࡟
ࡣ㸪࢚ࣥࢪࣥෆࡢὶࢀࡸ⇞ᩱᣲື㸪⇕Ⓨ⏕࡞࡝ࢆヲ⣽࡟ホ౯ࡋ㸪⇞↝ࡢ᭱㐺໬ࢆ⾜࠺ᚲせࡀ࠶ࡿ㸬ࡇࡢࡼ࠺࡞⌧㇟ࡢヲ⣽࡞᳨ウ࡟ࡣ㸪CFD㸦Computational
Fluid Dynamics㸧ࡀ㔜せ࡞ᙺ๭ࢆᯝࡓࡋ࡚࠾ࡾ㸪〇ရヨసࡸᛶ⬟ヨ㦂ࡢ௦᭰࡟ࡼࡿ㛤Ⓨ㈝⏝࡜㛤Ⓨᮇ㛫ࡢ▷⦰㸪ᐇ㦂ⓗ࡟ィ ࡛ࡁ࡞࠸⌧㇟ࡢゎ᫂➼࡟኱ࡁࡃ㈉⊩ࡋ࡚࠸ࡿ㸬ⴭ⪅ࡽࡣ OSS㸦Open Source
Software㸧࡛࠶ࡿ OpenFOAM[2]ࢆ⏝࠸࡚㸪ᘢ♫ෆࡢⅆຊ࣭ཎᏊຊศ㔝࡛ᇵࡗࡓ஧┦ὶࡸ⇞↝ࡢᩘ್ゎᯒᢏ⾡ࢆ࣮࣋ࢫ࡟㸪࢚ࣥࢪࣥ⟄ෆࡢὶື㸪ΰྜẼᙧᡂ㸪⇞↝ᣲື࡞࡝ࢆࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡗ࡚ண ࡍࡿᢏ⾡ࢆ㛤Ⓨࡋࡓ㸬OSS ࢆ⏝࠸ࡿ฼Ⅼ࡜ࡋ࡚ࡣ㸪ከᵝ࡞ゎᯒࢽ࣮ࢬ࡟ᛂ࠼ࡿࡓࡵࡢ࢝ࢫࢱ࣐࢖ࢬࡀᐜ
࡛᫆࠶ࡿࡇ࡜ࡸ㸪ࣛ࢖ࢭࣥࢫࢥࢫࢺࡢపῶࡀྍ⬟࡛࠶ࡿࡇ࡜ࡀᣲࡆࡽࢀࡿ㸬ࡉࡽ࡟㸪⇞↝ࡢࡼ࠺࡞」㞧
࡞⌧㇟࡟ᑐࡋ࡚ࡣ㸪౑⏝ࡉࢀ࡚࠸ࡿ≀⌮ࣔࢹࣝ࡬ࡢ⌮ゎࢆ῝ࡵࡓࡾ㸪᪂ࡓ࡞ࣔࢹࣝࡢ⤌㎸ࡳࡀྍ⬟࡛࠶ࡿࡇ࡜ࡀ OSS ࢆά⏝ࡍࡿ࣓ࣜࢵࢺ࡛࠶ࡿ࡜⪃࠼࡚࠸ࡿ㸬ᮏ✏ࡣ㸪OpenFOAM ࢆ࣮࣋ࢫ࡟㸪⮬ື㌴⏝࢚ࣥࢪࣥࡢࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ⌧ࡍࡿࡓࡵ࡟㛤Ⓨࡋࡓ⇞↝ゎᯒᢏ⾡࡟ࡘ࠸࡚ゎㄝࡍࡿ㸬ࡉࡽ࡟㸪ྠࡌࡃ
OSS ࡛࠶ࡿ Salome-Meca[3]࡜⤌ࡳྜࢃࡏ࡚ᅛయ⇕ఏᑟゎᯒ࡜⇞↝ゎᯒࡢ㐃ᡂゎᯒࢆ⾜࠺ࡇ࡜࡛㸪࢚ࣥࢪࣥࢥ࣏࣮ࣥࢿࣥࢺ࡛࠶ࡿ๪ᐊᘧⅬⅆ⿦⨨ࡢࣔࢹ࣮ࣝ࣋ࢫタィ࡟ά⏝ࡋࡓ஦౛࡟ࡘ࠸࡚⤂௓ࡍࡿ㸬ఏ⇕ 2021 ᖺ 7 ᭶- 28 -

㸰㸬2SHQ)2$0 ࡢᴫせ࣮࢜ࣉࣥࢯ࣮ࢫ CFD ࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚ࡣ㸪ⱥᅜ࢖ࣥ࣌ࣜ࢔ࣝ࢝ࣞࢵࢪ࡛㛤Ⓨࡉࢀ㸪ࡑࡢᚋ OSS࡜࡞ࡗࡓ OpenFOAM ࡢ௚, ࣇࣛࣥࢫ㟁ຊබ♫ࡀ㛤
Ⓨࡋ࡚࠸ࡿ Code_Sature[4]㸪ࢫࢱࣥࣇ࢛࣮ࢻ኱Ꮫࡢ
⯟✵ᏱᐂᕤᏛ㒊ࡀ㛤Ⓨࡋࡓ SU2[5]㸪ᩥ㒊⛉Ꮫ┬࡟ࡼ ࡿ ◊ ✲ 㛤 Ⓨ ࣉ ࣟ ࢪ ࢙ ࢡ ࢺ ࠿ ࡽ ⏕ ࡲ ࢀ ࡓ Front
Flow[6]࡞࡝ࡀ▱ࡽࢀ࡚࠸ࡿ㸬ⴭ⪅ࡽࡀ OpenFOAM
ࢆ㑅ᐃࡋࡓ⌮⏤࡜ࡋ࡚ࡣ㸪ᘢ♫ෆ࡟࠾࠸࡚࢞ࢫࢱ࣮
ࣅࣥ⇞↝ჾ[7]ࡸ⵨Ẽࢱ࣮ࣅࣥࡢࣛࣅࣜࣥࢫࢩ࣮ࣝ
ὶࢀ[8]㸪⏘ᴗ⏝࢖ࣥࢡࢪ࢙ࢵࢺࣉࣜࣥࢱ[9]࡞࡝ࢆ
ᑐ㇟࡜ࡋ࡚㐣ཤ࡟ OpenFOAM ࢆά⏝ࡋࡓ஦౛ࡀ࠶
ࡾ㸪♫ෆ࡟▱ぢࡀ⵳✚ࡉࢀ࡚࠸ࡓࡇ࡜㸪ᚋ㏙ࡍࡿࡼ
࠺࡟࢚ࣥࢪࣥゎᯒ࡟ᚲせ࡞ᶵ⬟ࡢ୍㒊ࡀࣛ࢖ࣈࣛ
ࣜ࡜ࡋ࡚ഛࢃࡗ࡚࠸ࡿࡇ࡜࡟ຍ࠼㸪ᅜෆእࡢ౑⏝࣮ࣘࢨࡢከࡉ࡜ࢥ࣑ࣗࢽࢸ࢕ࡀάⓎ࡛࠶ࡿࡇ࡜ࡀᣲ
ࡆࡽࢀࡿ㸬
OpenFOAM ࡣ㸪㐃⥆యຊᏛࡢၥ㢟ࢆゎࡃࡓࡵࡢࢯࣝࣂ⩌࡜㸪࣓ࢵࢩࣗసᡂࢶ࣮ࣝ࡞࡝ࡢ࣮ࣘࢸ࢕ࣜ
ࢸ࢕⩌࡜㸪ࡑࢀࡽࢆసᡂࡍࡿࡓࡵ࡟ᚲせ࡞ࣛ࢖ࣈࣛ
ࣜ⩌࠿ࡽᵓᡂࡉࢀ࡚࠸ࡿ㸦ᅗ 1㸧㸬୺せ㛤Ⓨゝㄒࡣ
C++࡛࠶ࡾ㸪ࣛ࢖ࣈࣛࣜ⩌ࡣ࢜ࣈࢪ࢙ࢡࢺᣦྥࣉࣟ
ࢢ࣑ࣛࣥࢢ࡜࿧ࡤࢀࡿࢯࣇࢺ࢙࢘࢔㛤Ⓨᡭἲ࡟๎ࡗ࡚᭩࠿ࢀ࡚࠸ࡿ㸬ࡲࡓ㸪ၟ⏝ࢯࣇࢺ࢙࢘࢔ࡢࡼ࠺
࡞ GUI (Graphical User Interface)ࡀ⏝ពࡉࢀ࡚࠸ࡿࢃ
ࡅ࡛ࡣ࡞ࡃ㸪࡯࡜ࢇ࡝ࡢ᧯సࡣࢥ࣐ࣥࢻࣛ࢖࡛ࣥ⾜࠺ᚲせࡀ࠶ࡿ㸬ᅗ 1 OpenFOAM ࡢᵓᡂ

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE㸱㸬⮬ື㌴⏝࢚ࣥࢪࣥࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ
࢞ࢯ࢚ࣜࣥࣥࢪ࡛ࣥࡣ㸪✵Ẽ࡜⇞ᩱ⵨Ẽ࡜ΰྜࡋࡓΰྜẼࢆࣆࢫࢺࣥ࡟ࡼࡾᅽ⦰ࡋ㸪Ⅼⅆࣉࣛࢢࢆ⏝࠸࡚Ⅼⅆࡋ࡚⇞↝ࡉࡏࡿ㸬ᅗ 2 ࡟♧ࡍࡼ࠺࡟㸪࢚ࣥࢪࣥゎᯒ࡛ࡣࣂࣝࣈࡸࣆࢫࢺࣥ⛣ືࢆ⪃៖ࡋࡓὶື㸪⇞ᩱᄇ㟝ࡢᣲື㸪⇞↝࡞࡝ࡢ」ྜ⌧㇟ࡢゎᯒࡀᚲせ࡛࠶ࡿ㸬
OpenFOAM ࡣ㸪ゎࡃ࡭ࡁᨭ㓄᪉⛬ᘧࡈ࡜࡟⊂❧ࡋࡓࢯࣝࣂࡀ⏝ពࡉࢀ࡚࠸ࡿ㸬౛࠼ࡤ㸪༢┦ὶࡢ㠀ᐃᖖ㠀ᅽ⦰ὶࢀࡢゎᯒ࡟ࡣ pimpleFoam ࡀ㸪஧┦ὶࡢ㠀ᅽ⦰ὶࢀࡢゎᯒ࡟ࡣ interFoam ࡀ⏝ពࡉࢀ࡚࠾
ࡾ㸪࠾ࡼࡑ 100 ✀㢮ࡢ୰࠿ࡽ㐺ษ࡞ࢯࣝࣂࢆ㑅ᢥࡍࡿᚲせࡀ࠶ࡿ㸬ᮏሗࡢᇳ➹᫬Ⅼ࡛᭱ࡶ᪂ࡋ࠸ࣂ࣮ࢪ
࡛ࣙࣥ࠶ࡿ OpenFOAM-v2012 ࡛ࡣ㸪࢚ࣥࢪࣥゎᯒ࡟㛵ࡋ࡚ XiEngineFoam ࡸ engineFoam ࡜࿧ࡤࢀࡿ
ࢯࣝࣂࡀ⏝ពࡉࢀ࡚࠸ࡿࡶࡢࡢ㸪⾲ 1 ࡟♧ࡍ㏻ࡾ㸪」㞧࡞࢚ࣥࢪࣥᙧ≧ࢆ⏝࠸ࡿࡢࡀᅔ㞴࡛࠶ࡾ㸪ቨ㠃࡟௜╔ࡋࡓ⇞ᩱᾮ⭷ࡢ≀⌮ࣔࢹࣝࡀᏑᅾࡋ࡞࠸ࡇ
࡜࡞࡝࠿ࡽ㸪せồࡉࢀࡿᶵ⬟せ௳ࢆ༑ศ࡟ࡣ‶ࡓࡋ࡚࠸࡞࠿ࡗࡓ㸬ࡑࡢࡓࡵ㸪୙㊊ࡋ࡚࠸ࡿᶵ⬟ࢆ⊂⮬࡟㛤Ⓨࡍࡿᚲせࡀ࠶ࡗࡓ㸬
๓㏙ࡢ㏻ࡾ OpenFOAM ࡟ࡣከᩘࡢ⊂❧ࡋࡓࢯࣝࣂࡀ⏝ពࡉࢀ࡚࠸ࡿࡀ㸪ከࡃࡢ㒊ศࡣඹ㏻໬ࡉࢀ⊂❧ࡋࡓࣛ࢖ࣈࣛࣜ࡜࡞ࡗ࡚࠸ࡿ㸬౛࠼ࡤ㸪
OpenFOAM ࡣ೫ᚤศ᪉⛬ᘧࡢ㞳ᩓ໬ᡭἲ࡜ࡋ࡚᭷
㝈య✚ἲࢆ⏝࠸࡚࠸ࡿࡀ㸪᭷㝈య✚ἲࢆゎࡃࡓࡵࡢฎ⌮ࡣ࡯࡜ࢇ࡝ࡢࢯࣝࣂࡀඹ㏻ࡢࣛ࢖ࣈࣛࣜࢆ౑
⏝ࡋ࡚࠸ࡿ㸬ࡑࡢࡓࡵ㸪⊂⮬ࡢࢯࣝࣂࢆ㛤Ⓨࡍࡿ㝿࡟ࡣ㸪ඹ㏻໬ࡉࢀ࡚࠸ࡿࣛ࢖ࣈࣛࣜࡢᶵ⬟ࢆ⤌ࡳྜࢃࡏࡿ࠿㸪࠶ࡿ࠸ࡣᣑᙇࡍࡿࡇ࡜࡟ࡼࡗ࡚ᡤᮃࡢゎᯒࢆᐇ᪋࡛ࡁࡿࢯࣝࣂࢆ㛤Ⓨࡍࡿࡇ࡜ࡀᇶᮏ᪉㔪࡜࡞ࡿ㸬௨㝆ࡢ⠇࡛ࡣ㸪࢚ࣥࢪࣥࡢ⇞↝ゎᯒ࡟ᚲせ࡜࡞ࡿಶูᶵ⬟ࡢ㛤Ⓨ࡟ࡘ࠸࡚㏙࡭ࡿ㸬 ⛣ືቃ⏺ࢆ⪃៖ࡋࡓὶືゎᯒ࢚ࣥࢪࣥゎᯒ࡛ࡣ㸪྾᤼Ẽࣂࣝࣈ࡜ࣆࢫࢺࣥࡢ⛣ືࢆ⪃៖ࡋࡓゎᯒࡀᚲせ࡜࡞ࡿ㸬OpenFOAM ࡟⏝ពࡉࢀ࡚࠸ࡿ engineFoam ࡛ࡣ㸪࣓ࢵࢩࣗࡢࢺ࣏ࣟ
ࢪ࣮ࢆಖࡕ࡞ࡀࡽኚᙧ㸦࣮ࣔࣇ࢕ࣥࢢ㸧ࡍࡿࣛ࢖ࣈ
ࣛࣜࡀ౑⏝ࡉࢀ࡚࠸ࡿࡀ㸪」㞧࡞ᙧ≧ࡢ࢚ࣥࢪࣥ࡟
ᑐࡋ࡚ࡣ࣓ࢵࢩࣗࡢṍࡳࡀ኱ࡁࡃ࡞ࡾィ⟬ࡀ◚⥢ࡍࡿ㸬ࡑࡇ࡛㸪ᅗ 3 ࡟♧ࡍࡼ࠺࡟㸪ィ⟬࣓ࢵࢩࣗࢆ
࠶ࡽ࠿ࡌࡵ⮬ື࣓ࢵࢩࣕ࡟ࡼࡗ࡚」ᩘ⏝ពࡋ࡚࠾ࡁ㸪࣮ࣔࣇ࢕ࣥࢢ࡟ࡼࡿ࣓ࢵࢩࣗࡢṍࡳࡀ኱ࡁࡃ࡞
ࡿ๓࡟࣓ࢵࢩࣗࢆษࡾ᭰࠼࡚≀⌮㔞ࢆ࣐ࢵࣆࣥࢢ
ࡍࡿࡇ࡜࡛㸪࣓ࢵࢩࣗࡢရ㉁ࢆಖࡕ࡞ࡀࡽ࢚ࣥࢪࣥ
ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ᪋ࡍࡿᡭἲࡀ㐣ཤ࡟ሗ࿌ࡉࢀ࡚࠾ࡾ[10]㸪ⴭ⪅ࡽࡶྠᵝࡢᶵ⬟ࢆ⤌ࡳ㎸ࢇࡔ
[11]㸬
࣓ࢵࢩࣗࡢసᡂ࡟ࡣ OpenFOAM ࡟⏝ពࡉࢀ࡚࠸
ࡿ snappyHexMesh ࢆ⏝࠸ࡓ㸬snappyHexMesh ࡣ STL
ᙧᘧ࡞࡝ࡢᙧ≧ࣇ࢓࢖ࣝࢆ⏝࠸࡚⮬ື࡛࣓ࢵࢩࣗ
ࢆ⏕ᡂࡍࡿ࣮ࣘࢸ࢕ࣜࢸ࢕࡛࠶ࡿ㸬࢚ࣥࢪࣥࡢ STL
ࣇ࢓࢖ࣝࡢࣂࣝࣈ఩⨨࡜ࣆࢫࢺࣥ఩⨨ࢆࢡࣛࣥࢡ
ゅ࡟ᛂࡌ࡚⮬ື࡛ಟṇࡍࡿࢫࢡࣜࣉࢺࢆసᡂࡋ㸪࣓ࢵࢩࣗసᡂࢆ⮬ື໬ࡋࡓ㸬ࡲࡓ㸪ࣂࣝࣈ࡜࣏࣮ࢺࡢ
㛫࡟ࡣᚤᑠ࡞㝽㛫ࢆタࡅ㸪ࣂࢵࣇࣝ࡜࿧ࡤࢀࡿෆ㒊ቨࢆタࡅ࡚࣏࣮ࢺ࡜⟄ෆࡢ✵㛫ࢆศࡅࡿࡇ࡜࡛㸪ࣂࣝࣈࡀ㛢ࡌࡽࢀࡓ≧ែࢆ⾲⌧ࡋࡓ㸬ᅗ 3 ⛣ືቃ⏺ゎᯒࡢᴫせᅗ 2 ࢚ࣥࢪࣥ⇞↝ゎᯒఏ⇕ 2021 ᖺ 7 ᭶

⾲ 1 ࢚ࣥࢪࣥ⇞↝ゎᯒࡢᶵ⬟せ௳
XiEngineFoam
engineFoam
ࣂࣝࣈ࣭
‫ڹ‬
‫ڹ‬
ࣆࢫࢺࣥ
(⡆᫆ᙧ≧)(⡆᫆ᙧ≧)
ࡢ⛣ື
⇞ᩱᾮ⁲
‫ڹ‬

ᄇ㟝ゎᯒ
(ᾮ⭷ࣔࢹࣝ࡞ࡋ)
ணΰྜ
‫ڹ‬
‫ۑ‬
⇞↝ゎᯒ
(ᣑᩓ⇞↝ࣔࢹࣝ)- 29 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
OpenFOAM ࡟ࡣ DDM ࡢࣛ࢖ࣈࣛࣜࡀ⏝ពࡉࢀ࡚࠾ࡾ㸪ᾮ⁲ࡢఏ⇕࣭⵨Ⓨࣔࢹࣝ࡟ຍ࠼㸪ᚤ⢏໬ࣔࢹ࡛ࣝ࠶ࡿ KHRT ࣔࢹࣝ[14]ࡸ TAB ࣔࢹࣝ[15]࡞
࡝ࡢ୺せ࡞≀⌮ࣔࢹࣝࡀᐇ⿦ࡉࢀ࡚࠸ࡿ㸬ᅗ 5 ࡟♧ࡍࡼ࠺࡟㸪ᄇ㟝༢యᙧ≧࡛ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ࡜ᐇ
㦂⤖ᯝࡀⰋ࠸୍⮴ࢆ♧ࡍࡇ࡜ࢆ☜ㄆࡋࡓ㸬࢚ࣥࢪࣥෆὶື࡜⤌ࡳྜࢃࡏࡓゎᯒࢆᐇ᪋ࡍࡿ
࡟࠶ࡓࡾ㸪ቨ㠃࡬௜╔ࡋࡓ⇞ᩱᾮ⁲ࡀᾮ⭷࡜࡞ࡿᣲືࢆࣔࢹࣜࣥࢢࡍࡿᚲせࡀ࠶ࡿ㸬OpenFOAM ࡟࠾࠸࡚ࡣᾮ⭷ࣔࢹࣝ࡜ࡋ࡚࢜࢖࣮ࣛἲ࡟ࡼࡿࣛ࢖ࣈ
ࣛࣜࡀ⏝ពࡉࢀ࡚࠸ࡿࡀ㸪๓⠇࡛㏙࡭ࡓ⛣ືቃ⏺ゎᯒ࡜ࡢ㐃ᦠࢆ⪃៖ࡋ㸪ࣛࢢࣛࣥࢪࣗ⢏Ꮚ࡟ࡼࡿᾮ⭷ࣔࢹࣝࢆ㛤Ⓨࡋࡓ㸬ᄇ㟝⢏Ꮚࡢࣛ࢖ࣈࣛࣜࢆཧ⪃࡟ᾮ⭷ࡢࣛ࢖ࣈࣛࣜࢆసᡂࡋ㸪௜╔ࡸᾮ⭷⵨Ⓨࣔࢹࣝ࡞࡝ࡢࢧࣈࣔࢹࣝࢆᑟධࡋࡓ㸬ࡇࢀ࡟ࡼࡾ㸪ᅗ 6 ࡟♧ࡍࡼ࠺࡞㸪࢚ࣥࢪࣥෆࡢὶືࢆ⪃៖ࡋࡓ⇞ᩱᄇ㟝࡜⇞ᩱࡢቨ㠃௜╔ࡢゎᯒࡀྍ⬟࡟࡞ࡗࡓ㸬 ࢚ࣥࢪࣥෆࡢὶືゎᯒ⤖ᯝࢆᅗ 4 ࡟♧ࡍ㸬ᅗ 4(a)࡟࢚ࣥࢪࣥࡢࣔࢹࣝᅗࢆ♧ࡍ㸬ᑐ㇟ࡢ࢚ࣥࢪࣥࡣ࣌
ࣥࢺ࣮ࣝࣇᆺࡢࣞࢩࣉ࢚ࣟࣥࢪ࡛ࣥ࠶ࡾ㸪IN ࡣ྾Ẽ࣏࣮ࢺ࡜ࡢ᥋⥆㠃ࢆ㸪EX ࡣ᤼Ẽ࣏࣮ࢺ࡜ࡢ᥋⥆㠃ࢆ♧ࡍ㸬ࣆࢫࢺࣥࡣࣇࣛࢵࢺᙧ≧࡛࠶ࡾ㸪ୖṚⅬ࡟࠾ࡅࡿࣆࢫࢺࣥ୰ᚰᗙᶆࢆཎⅬ࡜ࡋࡓ㸬ᅗ 4(a)࡟࠾ࡅࡿ B-B ᩿㠃ࡢ㸪ୖṚⅬᚋ㸦ATDC: After Top
Dead Center㸧120 ᗘࡢ᫬้࡟࠾ࡅࡿὶ㏿ศᕸࢆᅗ4(b)࡟♧ࡍ㸬྾Ẽ(IN)࣏࣮ࢺ࠿ࡽὶධࡋࡓὶࢀࡀ⟄ෆ࡛᤼Ẽഃ࡟ᙉ࠸ὶືࢆ㉳ࡇࡋ࡚࠸ࡿᵝᏊࡀศ࠿ࡿ㸬ࡲࡓ㸪B-B ᩿㠃ࡢཎⅬ࠿ࡽ 30 mm ୗࡢ఩⨨࡟
࠾ࡅࡿὶ㏿ศᕸࢆᅗ 4(c)࡟♧ࡍ㸬࡞࠾㸪z ᪉ྥࡢᖹᆒὶ㏿ࢆ㸪ࣆࢫࢺࣥᖹᆒ㏿ᗘ࡛↓ḟඖ໬ࡋࡓ㸬ⓑᢤࡁࣉࣟࢵࢺࡀᐇ㦂್[12]ࢆ㸪Ⅼ⥺ࡀ᪤Ꮡࢥ࣮ࢻ[13]࡟ࡼࡿࢩ࣑࣮ࣗࣞࢩ್ࣙࣥࢆ㸪ᐇ⥺ࡀ㛤Ⓨࡋࡓࢥ࣮ࢻ࡟ࡼࡿゎᯒ⤖ᯝࢆ♧ࡍ㸬ὶືศᕸࡀᐇ㦂್࡜ࡼࡃ୍⮴ࡍࡿࡇ࡜ࢆ☜ㄆࡋࡓ㸬 ᄇ㟝ゎᯒ࢚ࣥࢪࣥ࡟⇞ᩱࢆ౪⤥ࡍࡿ᪉ᘧࡢ୍ࡘ࡛࠶ࡿ┤᥋ᄇᑕᘧ㸦┤ᄇᘧ㸧࡛ࡣ㸪⟄ෆ࡟ᚤ⢏໬ࡉࢀࡓ⇞ᩱᄇᑕࡋ㸪⟄ෆࡢ✵Ẽ࡜ΰྜࡍࡿ㸬⢏Ꮚࡢ኱ࡁࡉࡣ࣐
࢖ࢡ࣓࣮ࣟࢺ࣮ࣝ࢜ࢲ࡛࠶ࡾ㸪࢚ࣥࢪࣥෆࡢ✵㛫࡟ᑐࡋ࡚㠀ᖖ࡟ᑠࡉ࠸㸬ࡇࡢࡓࡵ㸪⇞ᩱࡢᾮ⁲ࢆࣛࢢࣛࣥࢪࣗ⢏Ꮚ࡛⾲⌧ࡍࡿ DDM㸦Discrete Droplet
Model㸧ࡀ୍⯡࡟⏝࠸ࡽࢀࡿ㸬ᅗ 5 ⇞ᩱᄇ㟝ࡢண

ᅗ 4 ࢚ࣥࢪࣥෆὶືࡢண

ఏ⇕ 2021 ᖺ 7 ᭶⤖ᯝ

ᅗ 6 ࢚ࣥࢪࣥෆᄇ㟝ὶືゎᯒ⤖ᯝ- 30 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE ⇞↝ゎᯒ ୍⯡࡟࢞ࢯ࢚ࣜࣥࣥࢪ࡛ࣥࡣ㸪⟄ෆ࡛⇞ᩱ࡜✵ẼࡢΰྜẼࢆᙧᡂࡋ㸪Ⅼⅆࣉࣛࢢ࡟ࡼࡾ╔ⅆࡋ࡚ⅆ⅖
ఏ᧛ࡀⓎ⏕ࡍࡿணΰྜ⇞↝ࡢᙧែࢆ࡜ࡿ㸬ⴭ⪅ࡽࡣ㸪
OpenFOAM ࡢࣛ࢖ࣈࣛࣜ࡟࠶ࡽ࠿ࡌࡵ⏝ពࡉࢀ࡚࠸ࡿ⇞↝ࣔࢹࣝ࡟㛵ࡍࡿࢥ࣮ࢻࢆ෌฼⏝ࡋࡘࡘ㸪ணΰྜ⇞↝ࣔࢹࣝ࡜ࡋ࡚✄ẟࡽ[16]ࡀ㛤Ⓨࡋࡓ HTA
㸦Hyperbolic Tangent Approximation㸧ࣔࢹࣝࢆ⤌ࡳ㎸
ࢇࡔ[17]㸬HTA ࣔࢹࣝࡣ㸪ⅆ⅖㠃ࡢศᕸࢆ཮᭤⥺ṇ᥋㛵ᩘ࡛㏆ఝࡋ࡚ᑟฟࡋࡓࣔࢹ࡛ࣝ࠶ࡾ㸪࢞ࢫࢱ࣮ࣅࣥࡢ⇞↝ゎᯒ࡟ά⏝ࡉࢀ࡚࠸ࡿ[18]㸬
 ᅗ 7 ࡟㸪࢚ࣥࢪࣥෆ࡛ⅆ⅖ࡀ⟄ෆ࡟ᗈࡀࡗ࡚࠸ࡃ
ᵝᏊࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝࢆ♧ࡍ㸬ᅗ 7(a)ࡣ࢚ࣥ
ࢪࣥࡢ᩿㠃࡟࠾ࡅࡿ ᗘศᕸࢆ♧ࡋ࡚࠾ࡾ㸪ⅆ⅖ෆ㒊ࡢ ᗘࡀୖ᪼ࡋ࡚࠸ࡿࡇ࡜ࡀศ࠿ࡿ㸬ᅗ 7(b)ࡣⅆ⅖㠃࡜ࡋ࡚㸪ྠ᫬้࡟࠾࠸࡚཯ᛂ㐍⾜ᗘࡀ 0.5 ࡛࠶ࡿ➼್㠃ࢆྍど໬ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪ᅗ 8 ࡟⇞↝࡟క࠺⟄ෆࡢᅽຊୖ᪼ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ࡜ᐇ㦂್ࡢẚ㍑⤖ᯝࢆ♧ࡍ㸬Cyl.࡟⥆ࡃᩘᏐࡣẼ⟄␒ྕࢆ⾲ࡋ࡚࠸ࡿ㸬ࡇࡇ࡛ࡣ౛࡜ࡋ࡚㸯᮲௳ࡢࡳࡢ⤖ᯝࢆ♧ࡍࡀ㸪HTA ࣔࢹࣝࡢᐃᩘࢆ㐺ྜࡍࡿࡇ࡜࡟ࡼࡾ㸪⇞ᩱ࡜✵Ẽࡢ␗࡞ࡿΰྜ⋡࡟࠾࠸࡚ᅽຊศᕸࡀᐇ㦂࡜Ⰻ࠸୍⮴ࢆ♧ࡍࡇ࡜ࢆ☜ㄆࡋ࡚࠸ࡿ[17]㸬

ᅗ 7 ⇞↝ゎᯒ⤖ᯝᅗ 8 ⟄ෆᅽຊࡢண

ఏ⇕ 2021 ᖺ 7 ᭶⤖ᯝ࡜ᐇ㦂್ࡢẚ㍑- 31 -

ᅗ 9 Ⅼⅆࣔࢹࣝࢆ⏝࠸ࡓゎᯒ౛ Ⅼⅆゎᯒ ࢞ࢯ࢚ࣜࣥࣥࢪ࡛ࣥࡣ㸪Ⅼⅆࣉࣛࢢ࿘ࡾ࡟ᨺ㟁࡟ࡼࡿࢫࣃ࣮ࢡࡀⓎ⏕ࡋ㸪࿘ᅖࡢὶື࡟ࡼࡗ࡚ᨺ㟁⤒㊰ࡀఙ㛗ࡋ㸪╔ⅆᛶࡀྥୖࡍࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿ㸬ࡇࡢࡼ࠺࡞ᣲືࢆ⾲⌧ࡍࡿࡓࡵ࡟㸪 DPIK[19]ࡸ
AKTIM[20]࡞࡝ࡢ≀⌮ࣔࢹࣝࡀᥦ᱌ࡉࢀ࡚࠸ࡿ㸬 ➹⪅ࡽࡣ㸪Ⅼⅆࣔࢹ࡛ࣝ࠶ࡿ AKTIM ࢆཧ⪃࡟㸪ᄇ㟝ゎᯒ࡛⏝࠸ࡽࢀ࡚࠸ࡿ⢏Ꮚࣛ࢖ࣈࣛࣜࡢࢥ࣮
ࢻࢆ෌฼⏝ࡍࡿࡇ࡜࡛㸪ᨺ㟁⤒㊰࡜ⅆ⅖᰾ࢆࡑࢀࡒ
ࢀูࡢࣛࢢࣛࣥࢪࣗ⢏Ꮚ࡛⾲⌧ࡍࡿࣔࢹࣝࢆᑟධ
ࡋࡓ[21]㸬ᅗ 9 ࡟㸪Ⅼⅆゎᯒ⤖ᯝࡢ୍౛ࢆ♧ࡍ㸬㉥Ⰽ࡛♧ࡍᨺ㟁⤒㊰ࡀ㸪࿘ᅖ࢞ࢫࡢὶື࡟ࡼࡾఙ㛗ࡍࡿᵝᏊࡀぢࡽࢀࡿ㸬ࡲࡓ㸪༙㏱࡛᫂♧ࡍⅆ⅖᰾ࡢᡂ㛗ࡣ DPIK[19]ࢆ⏝࠸࡚ࣔࢹࣜࣥࢢࡋ࡚࠸ࡿ㸬ࡉࡽ࡟㸪Ⅼⅆࢥ࢖ࣝࡢ㟁Ꮚᅇ㊰ࢆࣔࢹࣝ໬ࡋ㸪஧ḟࢥ࢖ࣝ࡟⵳࠼ࡽࢀࡓᨺ㟁࢚ࢿࣝࢠ࣮ࡀᨺ㟁⤒㊰࡟࠾࠸࡚ᾘ㈝ࡉࢀࡿᣲືࢆ㐃ᡂࡋ࡚ィ⟬ࡋࡓ㸬 ࢯࣇࢺ࢙࢘࢔ࡢ♫ෆᒎ㛤ၟ⏝ CFD ࢯࣇࢺ࢙࢘࢔࡟ẚ࡭࡚㸪࣮࢜ࣉࣥࢯ࣮
ࢫ CAE ࢯࣇࢺ࢙࢘࢔࡛࠶ࡿ OpenFOAM ࡣ౑࠸຾ᡭ࡟ㄢ㢟ࡀ࠶ࡿ㸬ࡑࡇ࡛㸪ࢯࣇࢺ࢙࢘࢔ࢆ♫ෆᒎ㛤ࡍࡿ࡟࠶ࡓࡾ㸪౑࠸຾ᡭࡢྥୖࡢࡓࡵࡢᕤኵࢆ⾜ࡗࡓ㸬OpenFOAM ࡛ࡣ㸪≀⌮ࣔࢹࣝࡢタᐃࡸ㸪≀ᛶ್ࡢタᐃ㸪ቃ⏺᮲௳࡞࡝ࡢタᐃࡢࡓࡵ࡟㸪ࡑࢀࡒࢀಶ
ูࡢࣇ࢓࢖ࣝࢆ᭩ࡁ᥮࠼ࡿᚲせࡀ࠶ࡾ㸪౑⏝⪅࡟࡜ࡗ࡚኱ࡁ࡞సᴗ㈇ᢸ࡜࡞ࡿ㸬ࡑࡇ࡛㸪タᐃࣇ࢓࢖ࣝ
ࢆ୍ࡘࡢࢸ࢟ࢫࢺࣇ࢓࢖ࣝ࡟ࡲ࡜ࡵ㸪⮬ືⓗ࡟タᐃࢆ཯ᫎࡍࡿࢫࢡࣜࣉࢺࢆసᡂࡋࡓ㸬ࡇࢀ࡟ࡼࡗ࡚㸪౑⏝⪅ࡀಶูࡢࣇ࢓࢖ࣝࢆಟṇࡍࡿࡇ࡜࡞ࡃィ⟬ࢆᐇ⾜࡛ࡁࡿࡼ࠺࡟ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪࣐ࢽࣗ࢔ࣝࢆ Web ࢔ࣉࣜ࡜ࡋ࡚♫ෆ࡟බ㛤ࡋ㸪࣓ࢵࢩࣗࡢసᡂᡭ㡰ࡸゎᯒࡢᐇ⾜ᡭ㡰࡞࡝ࢆ

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE☜ㄆ࡛ࡁࡿࡼ࠺࡟ࡋ࡚࠸ࡿ㸬࡞࠾㸪ࢯ࣮ࢫࢥ࣮ࢻࡸ
Web ࣐ࢽࣗ࢔ࣝࡣ Git ࡟ࡼࡿࣂ࣮ࢪࣙࣥ⟶⌮ࢆ࢜ࣥࣉ࣑ࣞࢫ⎔ቃ࡛⾜ࡗ࡚࠸ࡿ㸬♫ෆ࡛ OpenFOAM ࢆά⏝ࡋࡘࡘ㸪ࢯࣝࣂࡢ࢝ࢫࢱ࣐࢖ࢬࡸ౑࠸຾ᡭࡢྥ
ୖ࡟ࡘ࠸࡚⥅⥆ⓗ࡞ᨵⰋࢆ⾜࠼ࡿ⎔ቃࡢᵓ⠏࡟ດࡵ࡚࠸ࡿ㸬㸲㸬๪ᐊᘧⅬⅆࢩࢫࢸ࣒ࡢࣔࢹ࣮ࣝ࣋ࢫタィᮏ❶࡛ࡣ㸪OpenFOAM ࢆ࣮࣋ࢫ࡜ࡋ࡚㛤Ⓨࡋࡓࢯࣇࢺ࢙࢘࢔ࢆ⏝࠸࡚࢚ࣥࢪࣥࢥ࣏࣮ࣥࢿࣥࢺࡢ
⇕タィࢆ⾜ࡗࡓ஦౛࡟ࡘ࠸࡚⤂௓ࡍࡿ[22]㸬ᑐ㇟࡛࠶ࡿ๪ᐊᘧⅬⅆࢩࢫࢸ࣒ࡣ㸪࢚ࣥࢪࣥࢆⓎ㟁⏝࡟≉໬ࡋࡓࢩ࣮ࣜࢬࣁ࢖ࣈࣜࢵࢻ㌴୧ྥࡅ࡟㸪㏆ᖺ㛤Ⓨ
ࡀάⓎ໬ࡋ࡚࠸ࡿⅬⅆࢩࢫࢸ࣒࡛࠶ࡿ㸬ᅗ 10 ࡟๪ᐊᘧⅬⅆࢩࢫࢸ࣒ࡢᴫせᅗࢆ♧ࡍ㸬㏻ᖖ㸪࢞ࢯ࢚ࣜࣥࣥࢪࣥ࡟࠾࠸࡚Ⅼⅆࣉࣛࢢࡣ୺⇞↝ᐊࡢୖ㒊࡟ഛ࠼ࡽࢀࡿࡀ㸪ᮏࢩࢫࢸ࣒࡛ࡣ୺⇞↝ᐊୖ㒊࡟๪ᐊࢆ᭷ࡋ㸪Ⅼⅆࣉࣛࢢࡣ๪ᐊෆ࡟ഛ࠼ࡽࢀࡿ㸬⇞↝᫬࡟ࡣ๪ᐊෆࡢΰྜẼ࡬ࡢⅬⅆࢆ⾜࠸㸪๪ᐊෆ࡛Ⓨ⏕ࡋࡓ⇞↝ࡀᄇᏍ࠿ࡽ㧗 ࡢⅆ⅖ࢪ࢙ࢵࢺࢆᄇฟࡋ㸪୺⇞↝ᐊࡢΰྜẼࢆ╔ⅆࡉࡏࡿ㸬ࡇࡢࡼ࠺࡟ᵓᡂࡍ
ࡿࡇ࡜࡛ከⅬ࡛ࡢ㧗㏿⇞↝ࢆᐇ⌧ࡍࡿࡇ࡜ࡀ࡛ࡁ㸪⇕ຠ⋡ࡢྥୖࡀᮇᚅࡉࢀࡿ㸬๪ᐊࡢ෭༷㠃࡟࠾ࡅࡿㄢ㢟ࡣ㸪㧗ฟຊ᮲௳࡛๪ᐊࡀ㐣⇕ࡋ㸪␗ᖖ⇞↝(ࣀࢵ࢟ࣥࢢࡸࣉࣞ࢖ࢢࢽࢵࢩࣙࣥ)ࡀⓎ⏕ࡍࡿⅬ࡛࠶ࡿ㸬๪ᐊࡢ㐣⇕せᅉ࡜ࡋ࡚ࡣ㸪⇞↝࢞ࢫ࠿ࡽ๪ᐊෆ
ቨ࡬ࡢ㐣኱࡞ධ⇕࡜㸪๪ᐊ࠿ࡽ࢚ࣥࢪࣥ࣊ࢵࢻ࡬ࡢ
ఏ⇕୙㊊ࡀ⪃࠼ࡽࢀࡿ㸬཮᪉ࢆ⪃៖ࡍࡿࡓࡵ࡟㸪๓❶ࡲ࡛࡟㏙࡭ࡓ OpenFOAM ࡜㸪ྠࡌࡃ OSS ࡛࠶ࡿ
Salome-Meca ࡟ࡼࡿᅛయ⇕ఏᑟゎᯒࢆ⤌ࡳྜࢃࡏࡿࡇ࡜࡛㸪⇞↝࡜ఏ⇕ࡢ㐃ᡂゎᯒࢆᐇ᪋ࡋࡓ㸬ᅗ 10 ๪ᐊᘧⅬⅆࢩࢫࢸ࣒ࡢᴫせᅗఏ⇕ 2021 ᖺ 7 ᭶- 32 -

ᅗ 11 㐃ᡂゎᯒࡢᴫせᅗ ᅗ 11 ࡟㸪ᐇ᪋ࡋࡓ㐃ᡂゎᯒࡢᵓᡂࢆ♧ࡍ㸬ᮏ㐃ᡂᡭἲࡣ㸪ᅗ 11 (a)࡛♧ࡍ㠀ᐃᖖ⇕ఏᑟゎᯒࢆᐇ᪋ࡍࡿ๪ᐊ࡬ࡢධ⇕ቃ⏺᮲௳ࢆ㸪ᅗ 11 (b)࡛♧ࡍ⇞↝ゎᯒ࡟ࡼࡾ୍ᐃ㛫㝸ࡈ࡜࡟᭦᪂ࡍࡿࡇ࡜࡛ᐇ⌧ࡍࡿ㸬ࡇࢀࡣ཮᪉ྥࡢ㐃ᡂ࡛࠶ࡾ㸪ᅗ 11 (a)ࡢゎᯒ⤖ᯝ࠿ࡽ㸪๪ᐊࡢቨ㠃 ᗘࡀᅗ 11 (b)ࡢ⇞↝ゎᯒࡢᗘቃ⏺᮲௳࡜࡞ࡿ㸬ࡇࡇ࡛㸪࢚ࣥࢪࣥ࡟࠾ࡅࡿᅛయ
ࡢ⇕ఏᑟࡣ㸪⌧㇟ࡢ㐍⾜ࡍࡿ᫬㛫ࢫࢣ࣮ࣝࡀ⇞↝࡟ẚ࡭࡚㠀ᖖ࡟኱ࡁ࠸㸬ຍ࠼࡚㸪3 ḟඖ⇞↝ゎᯒࡢィ⟬ࢥࢫࢺࡀ኱ࡁ࠸ࡓࡵ㸪⇞↝ゎᯒࢆᅛయ⇕ఏᑟࡢ᫬㛫ࢫࢣ࣮ࣝ࡟ྜࢃࡏ࡚ᐇ᪋ࡍࡿࡢࡣゎᯒ᫬㛫ࡢほⅬ࠿ࡽ⌧ᐇⓗ࡛ࡣ࡞࠸㸬ࡑࡇ࡛⇞↝ゎᯒࡢ 1 ࢧ࢖ࢡࣝࡢ⇞↝ゎᯒ⤖ᯝ࠿ࡽᚓࡓධ⇕㔞ࢆ⏝࠸࡚ᩘ 100ࢧ࢖ࢡࣝศࡢ᫬㛫(ᩘⓒ⛊┦ᙜ)ࡢᅛᐃ⇕ఏᑟゎᯒࢆ⾜࠸㸪⤖ᯝࢆḟࡢ⇞↝ゎᯒࡢ ᗘ᮲௳࡜ࡋ࡚Ώࡍ
ᡭ㡰ࢆ㸪ᅛయ ᗘࡀᐃᖖ࡟࡞ࡿࡲ࡛⧞ࡾ㏉ࡋᐇ᪋ࡋࡓ㸬ᐇᶵ࡜ࡢ࢟ࣕࣜࣈ࣮ࣞࢩࣙࣥ࡜ࡋ࡚㸪๪ᐊࡢഃቨ࡟⇕㟁ᑐࢆᇙࡵ㎸ࢇ࡛ ᗘ ᐃࢆ⾜࠸㸪ᐇ ್࡜ゎᯒ್ࡀྜ࠺ࡼ࠺࡟㸪㖡ࢫ࣮࣌ࢧࡢ᥋ゐ⇕᢬ᢠࡢ್ࢆㄪᩚࡋࡓ㸬 ᗘ ᐃ⤖ᯝࢆ⏝࠸ࡓ᳨ド࡟ࡼࡾ㸪཰᮰᫬ࡢ ᗘࡀᐇ㦂್࡜ 15Υ௨ෆ୍࡛⮴ࡍࡿࡇ࡜ࢆ
☜ㄆࡋࡓ㸬஦๓᳨ウ࡟ࡼࡾ㸪๪ᐊෆ࡛㧗 ໬ࡋࡸࡍ࠸㒊఩ࡣⅬⅆࣉࣛࢢࡢ㟁ᴟඛ➃࡜㸪๪ᐊඛ➃ࡢࣀࢬࣝ࢟ࣕࢵ
ࣉ㒊㸦ᅗ 11 (a)ཧ↷㸧࡛࠶ࡿࡇ࡜ࡀศ࠿ࡗࡓ㸬୍⯡ⓗ࡟Ⅼⅆࣉࣛࢢ ᗘࡀ 950Υࢆ㉸࠼ࡿ࡜⮬╔ⅆࡀⓎ⏕ࡍࡿࡇ࡜࠿ࡽ㸪Ⅼⅆࣉࣛࢢ㒊ࡣ 950ႏ, ࣀࢬࣝ࢟ࣕࢵࣉ㒊ࡣ 750Υࢆ⮬╔ⅆ㝈⏺࡜ࡋ࡚ᐃ⩏ࡋࡓ㸬ࡲࡓ㸪Ⅼⅆࣉࣛࢢࡢ᭱㧗 ᗘ࡟╔┠ࡍࡿ࡜㸪᳨ウ㛤ጞ᫬ࡢึᮇᙧ≧࡟࠾࠸࡚ࡣ㸪┠ᶆ࡛࠶ࡿ 950ႏࢆ኱ᖜ࡟㉸㐣ࡋ࡚ࡋࡲ࠺ࡇ࡜ࡀศ࠿ࡗࡓ㸬᭱㧗ฟຊ᮲௳࡟࠾ࡅࡿࡇࢀࡽ 2 ࠿ᡤࡢ ᗘࡀ㸪␗ᖖ⇞↝Ⓨ⏕ࡢ㜈J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEᗘࡣ┠ᶆࡢ 750ႏ௨ୗ࡛࠶ࡿ 530ႏ⛬ᗘ࡜࡞ࡿ๪ᐊ
ᵓ㐀ࢆᥦ᱌ࡋࡓ㸬ཧ⪃ᩥ⊩[1] Günter F., Proceeding for AVL International
Simulation Conference, (2019).
[2] Hrvoje, J., International Journal of Naval್௨ୗ࡜ࡍࡿ๪ᐊᙧ≧ࢆ㸪3 ḟඖ⇞↝ゎᯒ࡜ᅛయ⇕ఏᑟゎᯒࢆ㐃ᡂࡉࡏࡓࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡾ᳨ウࡋࡓ㸬๪ᐊࡢ ᗘゎᯒ⤖ᯝࢆᅗ 12 ࡟♧ࡍ㸬ᅗ࡟♧ࡍࡼ࠺࡟㸪๪ᐊቨෆ࡟෭༷Ỉࢪࣕࢣࢵࢺࢆタࡅ㸪ࣉࣛࢢࡢ⇕ࢆ๪ᐊࢆ௓ࡋ࡚෭༷Ỉഃ࡟ὶࡍᵓ㐀ࢆ⪃᱌ࡋࡓ㸬෭༷Ỉ ᗘࡣ 80Υ㸪෭༷Ỉὶ㊰ࡢ⇕ఏ㐩⋡ࡣ࢚ࣥࢪࣥ࣊ࢵࢻෆ㒊ࡢ෭༷Ỉࡢఏ⇕㠃࡜ྠࡌ್࡜
ࡋࡓ㸬ࡇࡢᵓ㐀࡟ࡼࡾ㸪Ⅼⅆࣉࣛࢢ࡛ࡣ┠ᶆࡢ
950ႏ௨ୗ࡛࠶ࡿ⣙ 910Υ㸬ࣉࣛࢢ࢟ࣕࢵࣉࡢ᭱㧗ᗘࡣ┠ᶆࡢ 750ႏ௨ୗ࡛࠶ࡿ㸪 530ႏ⛬ᗘ࡜࡞ࡗࡓ㸬Architecture and Ocean Engineering, 1-2 (2009) 89.
[3] Aubry, J.P., Gmsh and Salome. Paris: Framasoft,(2013).
[4] Archambeau, F. et al., International Journal on Finite
Volumes, 1-1 (2004).
[5] Economon, T. D. et al., AIAA Journal, 54-3 (2016)828.
[6] ␇ᮧẎࡽ㸪⏕⏘◊✲㸪56-1 (2004) 40.
[7] ᰆᮌၨኴࡽ㸪᪥ᮏ⇞↝Ꮫ఍ㄅ㸪56-177 (2014) 266.
[8] ᑠᯘඞᖺ㸪すᔱつୡ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸦B
⦅㸧
㸪79-800 (2013).
[9] Ikegawa, M. et al., Society for Imaging Science andᅗ 12 ๪ᐊࡢTechnology, 2015-1 (2015) 13.
[10]Nguyen, T. et al., SAE Technical Paper, (2014).
[11]Hosaka, T. et al., SAE Technical Paper, (2016).
[12]Obokata, T. et al., The international symposium on
diagnostics and modeling of combustion in internal
combustion engines, (2008).

ᗘゎᯒ⤖ᯝ

㸳㸬⤖ゝ
 ࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔࡛࠶ࡿ OpenFOAM
ࢆ⏝࠸࡚㸪࢚ࣥࢪࣥࡢࢩ࣑࣮ࣗࣞࢩࣙࣥࢆྍ⬟࡜ࡍࡿࡓࡵࡢ㛤Ⓨࢆ⾜ࡗࡓ㸬᪤Ꮡࡢ OpenFOAM ࡢᶵ⬟ࢆᣑᙇࡍࡿࡇ࡜࡛㸪ࣂࣝࣈࡸࣆࢫࢺࣥ࡜࠸ࡗࡓ⛣ືቃ⏺ࢆ⪃៖ࡋࡓὶື㸪ᄇ㟝ࡸᾮ⭷ࡢᣲື㸪ヲ⣽࡞Ⅼⅆᣲືࢆ⪃៖ࡋࡓணΰྜ⇞↝࡞࡝ࡢ࣐ࣝࢳࣇ࢕ࢪ
ࢡࢫࢆࢩ࣑࣮ࣗࣞࢩ࡛ࣙࣥண ࡛ࡁࡿࡼ࠺࡟ࡋࡓ㸬ࡲࡓ㸪ᮏゎᯒࢯࣇࢺ࢙࢘࢔ࢆ⇕タィ࡟ά⏝ࡋࡓ஦౛࡜ࡋ࡚㸪ྠࡌࡃ࣮࢜ࣉࣥࢯ࣮ࢫ CAE ࢯࣇࢺ࢙࢘
࢔࡛࠶ࡿ Salome-Meca ࡜⤌ࡳྜࢃࡏࡿࡇ࡜࡛㸪๪ᐊ
ᘧⅬⅆ⿦⨨ࡢᵓ㐀᳨ウࢆ⾜ࡗࡓ㸬⇞↝࠿ࡽࡢ㐣኱࡞ධ⇕࡜෭༷୙㊊࡟ࡼࡿ㐣⇕ࢆ⪃៖ࡍࡿࡓࡵ㸪
Salome-Meca ࡟ࡼࡿᅛయ⇕ఏᑟゎᯒ࡜ OpenFOAM
࡟ࡼࡿ⇞↝ゎᯒࡢ㐃ᡂゎᯒࢆ⾜࠺௙⤌ࡳࢆᵓ⠏ࡋࡓ㸬ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡾ㸪Ⅼⅆࣉࣛࢢ࡛ࡣ┠ᶆࡢ
950ႏ௨ୗ࡛࠶ࡿ 910ႏ㸪ࣉࣛࢢ࢟ࣕࢵࣉࡢ᭱㧗ఏ⇕ 2021 ᖺ 7 ᭶- 33 -[13]Sukegawa, Y. et al., JSAE Review, 24-2 (2003) 123.
[14]Patterson, M. and Reitz, D., Journal of Engines, 1073 (1998) 27.
[15]O’Rourke, J. and Amsden, A., SAE Technical Paper,(1987).
[16]✄ẟ┿୍㸪኱ሯ㞞ဢ㸪᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟㸦B⦅㸧
㸪61-586 (1995) 2290.
[17]Hosaka, T. et al., ASME 2017 ICEF TechnicalConference, (2017).
[18]஭ୖὒࡽ㸪᪥ᮏᶵᲔᏛ఍ᖺḟ኱఍ㅮ₇ㄽᩥ㞟㸪
2000-4 (2000) 377.
[19]Fan, L. et al., Journal of Engines, 109-3 (2000) 1977.
[20]Duclos, JM. and Colin, O., Proceedings of
COMODIA 2001, (2001) 343.
[21]Hosaka, T. et al., Proceedings of the 14th
OpenFOAM Workshop, (2019).
[22]⡿㇂┤ᶞࡽ㸪JSAE 2021 ᖺ᫓Ꮨ኱఍㸪(2021).

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࢔࣑ࣝࢽ࣒࢘⏕⏘ࣉࣟࢭࢫ࡟࠾ࡅࡿ OpenFOAM ࡢά⏝
Utilization of OpenFOAM in an Aluminum Making Processᒣᮏ ༟ஓ㸪ࢥ࣐ࣟࣇ ࢭࣝࢤ࢖㸦ᮾ໭኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉㸧
Takuya YAMAMOTO, Sergey KOMAROV (Tohoku University) e-mail: t-yamamoto@tohoku.ac.jp
ὶࡀⓎ⏕ࡍࡿ[2]㸬㔠ᒓ⤌⧊ᨵ㉁ࡣ㡢㡪ὶ࡟ࡼࡿᗘᆒ୍໬㸪ẼἻ࿘ᅖ ᗘኚື㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥ
ᅽቯ᫬ࡢ⾪ᧁἼ࡟ࡼࡿ᰾⏕ᡂಁ㐍㸪ᾮయࢪ࢙ࢵࢺ
࡟ࡼࡿᬗฟࡋࡓ㔠ᒓ⤌⧊ࡢศ᩿㸪ࢯࣀ࢟ࣕࣆࣛࣜ
࣮ຠᯝ㸪㡢㡪ὶ࡟ࡼࡿ㔠ᒓ⤌⧊ศ᩿➼ᵝࠎ࡞ㄝࡀᥦ᱌ࡉࢀ࡚࠸ࡿ[1]ࡀ㸪ᐇ㝿ࡢ࡜ࡇࢁࡼࡃ⌮ゎࡉࢀ࡚࠸࡞࠸㸬ࡇࢀࡽࡢ୍ࡘ୍ࡘࡢ⌧㇟ࢆゎ᫂ࡍࡿࡓࡵ㸪⁐⼥㔠ᒓ୰ࡢ㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥࡢࢲ࢖ࢼ
࣑ࢡࢫ࠿ࡽᛂ⏝ඛ࡜ࡋ࡚ᮇᚅࡉࢀࡿ࢔࣑ࣝࢽ࣒࢘
ࡢ㉸㡢Ἴ༙㐃⥆㗪㐀᫬ࡢ⌧㇟ゎ᫂ࡲ࡛ᖜᗈࡃྲྀࡾ
⤌ࢇ࡛࠸ࡿ㸬௨ୗ࡟㸪OpenFOAM ࢆᨵⰋࡋ࡚฼⏝ࡋࡓ◊✲࡛࠶ࡿ㸪1. ࢔࣑ࣝࢽ࣒࢘จᅛ᫬ࡢయ✚཰⦰⌧㇟㸪2. ࢔࣑ࣝࢽ࣒࢘㉸㡢Ἴ༙㐃⥆㗪㐀㸪3. 㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࡢ㠀⥺ᙧ᣺ື࡟㛵ࡋ࡚⤂௓ࡍࡿ㸬㸯㸬ࡣࡌࡵ࡟
㏆ᖺ㸪࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࡀఏ⇕ศ㔝࡛ࡣᗈࡃά⏝ࡉࢀ࡚࠾ࡾ㸪ὶయ㸪ఏ⇕ࢆゎᯒ࡛ࡁࡿࡶࡢ࡜ࡋ࡚㸪OpenFOAM, SU2, FrontFlow ➼ࡀⰋࡃ▱ࡽࢀ࡚࠸ࡿ㸬࣮࢜ࣉࣥࢯ࣮ࢫࡣ࣮ࣘࢨ࣮ഃ࡛
ࣉࣟࢢ࣒ࣛࢆኚ᭦ࡋ㸪㏣ຍᶵ⬟ࢆᐇ⿦ࡍࡿࡇ࡜ࡀ
ྍ⬟࡛࠶ࡿࡓࡵ㸪ᣑᙇᛶࡀ㧗࠸㸬ࡲࡓ㸪ࣉࣜ㸪࣏ࢫࢺฎ⌮ࡀᐇ⿦ࡉࢀ࡚࠸ࡿࡶࡢࡀከࡃ㸪࣮ࣘࢨ࣮ഃ࡛ࡇࢀࡽࡢฎ⌮ࢆࣉࣟࢢ࣒࡛ࣛᐇ⿦ࡍࡿᚲせࡀ↓ࡃ㸪౑࠸຾ᡭࡀⰋ࠸㸬୍᪉࡛㸪࣮࢜ࣉࣥࢯ࣮ࢫ
ࡣ࣐ࢽࣗ࢔ࣝࡸࢢࣛࣇ࢕࣮࢝ࣝࣘࢨ࣮࢖ࣥࢱ࣮ࣇ
࢙࣮ࢫࡀᑡ࡞࠸ࡓࡵ㸪ၟ⏝ࢯࣇࢺ࢙࢘࢔࡜ẚ㍑ࡍ
ࡿ࡜㸪᪂つ࣮ࣘࢨ࣮ࡢᩜᒃࡀ㧗࠸ࡶࡢ࡜࡞ࡗ࡚࠸
ࡿ㸬ࡇࡢࡼ࠺࡞≧ἣ࡛ࡣ࠶ࡿࡀ㸪࣮࢜ࣉࣥࢯ࣮ࢫ
ࢆά⏝ࡋࡓㄽᩥᩘࡣ㣕㌍ⓗ࡟ቑຍࡋ࡚࠾ࡾ㸪
OpenFOAM ࢆ౛࡟ࡍࡿ࡜㸪scopus ࡛࣮࣮࢟࣡ࢻ᳨
⣴ࡋࡓᩥ⊩ᩘ࡛ࡣ 2008 ᖺ࡟ 15 ሗ࡛࠶ࡗࡓࡶࡢࡀ㸪2013 ᖺ࡟ࡣ 218 ሗ㸪2018 ᖺ࡟ࡣ 735 ሗ࡬࡜ቑຍࡋ
࡚࠸ࡿ㸬ⴭ⪅ࡽࡣ㸪㔠ᒓ⏕⏘ࣉࣟࢭࢫ࡟࠾ࡅࡿ⢭㘐㸪㗪㐀ᕤ⛬࡟࠾࠸࡚ OpenFOAM ࢆά⏝ࡋ㸪㉸㡢Ἴฎ⌮࡟ࡼࡿ⁐⼥㔠ᒓ୰୙⣧≀↓ᐖ໬ࡸ࢞ࢫ྿ࡁ㎸ࡳ᧯స࡟ࡼࡿ⁐⼥㔠ᒓ୰࠿ࡽࡢ୙⣧≀㝖ཤ⌧㇟ࢆㄪᰝࡋ࡚࠸ࡿ㸬௨ୗ㸪࢔࣑ࣝࢽ࣒࢘ࡢ㉸㡢Ἴ㗪㐀᫬࡟࠾ࡅࡿ OpenFOAM ࢆά⏝ࡋࡓ◊✲ࢆ⤂௓ࡍࡿ㸬ᅗ 1 ᾮయ୰䜈䛾㉸㡢Ἴ↷ᑕ᫬䛻⏕䛨䜛⌧㇟䛾ᴫ␎ᅗ㸱㸬ᩘ್ゎᯒᡭἲ
 ࢔࣑ࣝࢽ࣒࢘จᅛ᫬ࡢయ✚཰⦰⌧㇟㉸㡢Ἴ㗪㐀ࡢࡿࡘࡰᐇ㦂᫬࡟ࡣ㉸㡢Ἴฎ⌮ࡋࡓ⁐⼥㔠ᒓࢆ㗪ᆺ࡟ὶࡋ㎸ࡳ㸪จᅛࡉࡏࡿ㸬ࡇࡢ㝿㸪㗪ᆺෆ෭༷㏿ᗘ࡟ࡼࡗ࡚㔠ᒓ⤌⧊ᙧែࡀኚ໬ࡍࡿ
ࡓࡵ㸪㗪ᆺෆ෭༷㏿ᗘࢆṇ☜࡟ண ࡍࡿࡇ࡜ࡣ㔜せ࡛࠶ࡿࡀ㸪࢔࣑ࣝࢽ࣒࢘ࡢจᅛ᫬࡟ࡣᐦᗘኚ໬
ࡀ኱ࡁࡃ㸪య✚཰⦰ࡢᙳ㡪ࢆ⪃៖ࡋ࡞ࡅࢀࡤ࡞ࡽ
࡞࠸㸬ࡲࡓ㸪ࡇࢀ࡟ࡼࡗ࡚ᘬࡅᕢ࡜࿧ࡤࢀࡿḞ㝗ࡀ⏕ࡌࡿ㸬ࡇࡢ⌧㇟࡛ࡣ㸪Ẽᾮΰ┦ὶ㸪య✚ኚ໬㸪㸰㸬⁐⼥࢔࣑ࣝࢽ࣒࢘୰࡛ࡢ㉸㡢Ἴฎ⌮ จᅛ㐣⛬᫬࡟⁐⼥࢔࣑ࣝࢽ࣒࢘୰࡬㉸㡢Ἴࢆ↷ᑕࡍࡿ࡜ࡑࡢ㔠ᒓ⤌⧊ࢆᨵ㉁࡛ࡁࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿ[1]㸬ᾮయ୰࡟㉸㡢Ἴࢆ↷ᑕࡋࡓ㝿࡟Ⓨ⏕ࡍࡿ⌧㇟ࢆᅗ  ࡟♧ࡍ㸬㉸㡢Ἴࢆ⁐⼥࢔࣑ࣝࢽ࣒࢘
࡟↷ᑕࡍࡿ࡜㸪㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥࡀ⏕ࡌ㸪㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥࡢ㠀⥺ᙧ᣺ືᒁᡤ࣍ࢵࢺࢫ
࣏ࢵࢺࡢ⏕ᡂ㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥ࠿ࡽࡢᾮయࢪ࢙
ࢵࢺࡢⓎ⏕࡟ຍ࠼㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥ࡟ࡼࡿ㡢Ἴᩓ஘㸪࣐ࢡࣟ࡞㡢㡪ὶ㸪ẼἻ࿘ᅖࡢ࣑ࢡࣟ࡞㡢㡪ఏ⇕ 2021 ᖺ 7 ᭶- 34 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE ࢔࣑ࣝࢽ࣒࢘ࡢ㉸㡢Ἴ༙㐃⥆㗪㐀࢔࣑ࣝࢽ࣒࢘ࡢᒎఙᮦࡢከࡃࡣ༙㐃⥆㗪㐀࡛〇㐀ࡉࢀࡿ㸦ᅗ 2㸧㸬ࡇࡢ༙㐃⥆㗪㐀ࣉࣟࢭࢫ࡛ࡣ㗪ᆺࡢୗ࠿ࡽỈࢆ┤᥋࢔࣑ࣝࢽ࣒࢘࡟྿ࡁ௜ࡅࡿࡇ
࡜࡛㐃⥆ⓗ࡟┿ࡗ┤ࡄୗ࡟จᅛࡉࡏࡿࣉࣟࢭࢫ࡛
࠶ࡿ㸬ࡇࢀࡣ㸪㐃⥆ⓗ࡟ᩘ࣓࣮ࢺࣝ࡟Ώࡗ࡚㗪㐀ࡍࡿࡇ࡜࠿ࡽ༙㐃⥆㗪㐀࡜࿧ࡤࢀࡿ㸬㉸㡢Ἴ༙㐃⥆㗪㐀ࢆ⾜࠺ሙྜ࡟ࡣ㸪㉸㡢Ἴ࣮࣍ࣥࢆ⁐⼥࢔࣑ࣝࢽ࣒࢘୰࡬ᾐₕࡉࡏࡿࡀ㸪㗪㐀୰ࡢὶືࣃࢱ࣮
ࣥ࡟ᛂࡌ࡚㔠ᒓ⤌⧊ࡀኚ໬ࡍࡿࡇ࡜ࡀሗ࿌ࡉࢀ࡚
࠾ࡾ[13,14]㸪㗪㐀᫬ࡢ࢟ࣕࣅࢸ࣮ࢩࣙࣥ㡿ᇦ࡜ὶືࣃࢱ࣮ࣥࡢ㛵ಀᛶࡀ㔜せ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡇࡢࡼ࠺࡞኱つᶍୟࡘ㧗 ࡞ࣉࣟࢭࢫ୰ࡢ⁐⼥࢔࣑ࣝࢽ࣒࢘୰ࡢ⇕≀㉁ὶືจᅛ⌧㇟ࢆᐇ㦂ⓗ࡟ほࡍࡿࡇ࡜ࡣ㞴ࡋࡃ㸪ᩘ್ࣔࢹࣝ࡟ࡼࡿண ࡀ㔜せ࡜࡞ࡿ㸬ࡇࡢࣉࣟࢭࢫ࡛ࡣྜ㔠ࢆྲྀࡾᢅ࠺ࡇ࡜ࡀ࡯࡜ࢇ
࡝࡛࠶ࡿࡓࡵ㸪⇕≀㉁ὶື㸪┦ᅗ㸦≧ែᅗ㸧࡟ᛂࡌࡓจᅛ㸪จᅛ┦ࡢ⛣ືࢆྲྀࡾᢅ࠺ᚲせࡀ࠶ࡿ㸬ࡲࡓ㸪㉸㡢Ἴࢆ↷ᑕࡍࡿሙྜ࡟ࡣ㸪ࡑࢀ࡟ຍ࠼㸪㡢Ἴࡢఏ᧛㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥ㸪㡢㡪ὶ➼ᵝࠎ࡞⌧㇟ࢆࣔࢹࣝ࡟⤌ࡳ㎸ࡴᚲせࡀ࠶ࡿ㸬⌧ᅾᩘ್ࣔࢹࣝ㛤Ⓨࢆྵࡵ◊✲࡟ྲྀࡾ⤌ࢇ࡛࠸ࡿ࡜ࡇࢁ࡛ࡣ
࠶ࡿࡀ㸪ࡇࡇ࡛ࡣ㸪≀㉁⛣ືࡢྵࡲ࡞࠸⇕ὶືจᅛゎᯒࡢࡳ⤂௓ࡍࡿ㸬ࡇࡢ༙㐃⥆㗪㐀࡛ࡣ㸪ᩘ 100 mm ⛬ᗘࡢ෇ᙧ㸦ࣅࣞࢵࢺ㸧ࡸᅄゅᙧ㸦ࢫࣛࣈ㸧ࡢ㗪ᆺ࠿ࡽᩘ m ࡟ࢃࡓࡗ࡚ᘬࡁᢤࡃ㸬ࡇࡇ࡛㸪ึᮇ࡛ࡣィ⟬㡿ᇦࡀ⊃࠸ࡶࡢࡢ㸪᭱⤊ẁ㝵࡛ࡣィ⟬㡿ᇦࡀ㛗ࡃ࢔ࢫ࣌ࢡ
ࢺẚࡢ኱ࡁ࠸ࡶࡢ࡜࡞ࡿ㸬ࡇࢀࢆィ⟬ࡍࡿࡓࡵ㸪ቃ⏺㠃⛣ື࡟క࠸㸪ィ⟬᱁Ꮚࢆ㏣ຍࡍࡿືⓗ᱁Ꮚࢆᑟධࡋࡓ㸬ᨭ㓄᪉⛬ᘧࡣ㸪3.1 㡯࡜࡯ࡰྠᵝ࡛࠶ࡿࡀ㸪จᅛࡋࡓ㗪ሢ⛣ືࡢࡓࡵ㸪Enthalpy Porosityἲࢆಟṇࡋ㸪ᅛయࡢ⛣ື㏿ᗘࢆ㏣ຍࡋࡓ[15,16]㸬
ࡲࡓ㸪㉸㡢Ἴࢆ↷ᑕࡍࡿሙྜࡣ㸪㡢Ἴఏᦙ࡜⇕ὶືจᅛゎᯒࢆศ㞳ࡍࡿ 2 ẁ㝵࡛ィ⟬ࡋࡓ㸬㸯ẁ㝵┠࡜ࡋ࡚⥺ᙧ᣺ືࡍࡿẼἻศᩓ୰ࡢ㡢Ἴఏ᧛᪉⛬ᘧࢆゎࡁ㸪ᚓࡽࢀࡓ㡢ᅽ㸪㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥ
ศᕸࢆ฼⏝ࡋ㸪㡢ᅽศᕸ࡟ᛂࡌࡓ㡢㡪ὶࡢయ✚ຊ
ࢆ㏣ຍࡋࡓ⇕ὶືจᅛゎᯒࢆ 2 ẁ㝵┠࡟⾜ࡗࡓ
[17]㸬Al-17%Si ྜ㔠ࢆ฼⏝ࡋ㸪┤ᚄ 203 mm ࡢ෇ᙧࡢ㗪ᆺࢆ⏝࠸ࡓሙྜ࡟ 1 m ᘬࡁᢤࡃࡇ࡜࡜ࡋ㸪㗪ᆺࡸỈ෭㒊࠿ࡽࡢᢤ⇕᮲௳ࡣ Newton ࡢ෭༷๎ࢆ฼⏝ࡋ㸪⇕ఏ㐩⋡࡜ࡋ࡚ࡣᩥ⊩್[18]ࢆ฼⏝ࡋᾮ┦࠿ࡽᅛ┦࡬ࡢ┦ኚ໬ࢆྲྀࡾᢅ࠺ᚲせࡀ࠶ࡿ㸬ࡇࢀࡽࡢ⌧㇟ࢆᩘ್ࣔࢹ࡛ࣝ⾲⌧ࡍࡿࡓࡵ㸪Ẽᾮΰ┦ὶࣔࢹࣝ࡜ࡋ࡚㸪௦ᩘⓗ࡟⏺㠃෌ᵓ⠏ࢆ⾜࠺
Volume of Fluid㸦VOF㸧ἲ[3]㸪จᅛࣔࢹࣝ࡜ࡋ࡚㸪
Enthalpy Porosity ἲ[4]ࢆ⤌ࡳྜࢃࡏࡓ㸬ᨭ㓄᪉⛬ᘧ࡜ࡋ࡚㸪Enthalpy ཰ᨭᘧ㸪NavierStokes ᘧ㸪㉁㔞ಖᏑᘧࢆ฼⏝ࡋࡓ㸬 ᗘᕪ࡟ࡼࡿ
ᐦᗘᕪᑐὶࡣ Boussinesq ㏆ఝ㸪จᅛ㸪ᅛᾮඹᏑ㡿ᇦ࡟࠾ࡅࡿከᏍయࣔࢹࣝ࡜ࡋ࡚㸪Carman-Kozenyࣔࢹࣝ㸪ᅛ┦⋡ࡣㄗᕪ㛵ᩘࣔࢹࣝ[5]ࢆ᥇⏝ࡋࡓ㸬ࡲࡓ㸪┦ኚ໬࡟క࠺ᐦᗘኚ໬࡟ࡼࡿయ✚཰⦰ࣔࢹࣝࡣ Bounds ࡽࡢࡶࡢ[6]࡟ᚑ࠺࡜ࡋࡓ㸬⾲㠃ᙇຊࡣ CSF ࣔࢹࣝ[7]࡛⾲⌧ࡋࡓࡀ㸪⏺㠃᭤⋡ィ⟬᫬ࡢㄗᕪపῶࡢࡓࡵ Laplace filter [8]ࢆᑟධࡋࡓ㸬ࡲࡓ㸪ᗘᕪ࡜⮬⏤⾲㠃ࢆ᭷ࡍࡿሙྜ㸪୍⯡࡟ࡣMarangoni ᑐὶࡀⓎ⏕ࡍࡿࡀ㸪⁐⼥࢔࣑ࣝࢽ࣒࢘
ࡣ✵Ẽ୰ࡢỈ⵨Ẽ㸪㓟⣲࡜཯ᛂᛶࡀ㧗ࡃ㸪ⷧ࠸㓟໬⓶⭷ࢆ▐᫬࡟ᙧᡂࡍࡿࡓࡵࣔࢹࣝ࡜ࡋ࡚ᑟධࡍࡿᚲせࡀ࡞࠸㸬≀ᛶ್࡜ࡋ࡚ࡣ㸪Leitner ࡽࡢሗ࿌್[9]ࢆ⏝࠸ࡓ㸬࢔࣑ࣝࢽ࣒࢘จᅛ᫬ࡢᘬࡅᕢࡢᙧ≧࡜㗪≀ࡢ࢔ࢫ࣌ࢡࢺẚࡢ㛵ಀᛶࢆㄪᰝࡍࡿࡓࡵ㸪ᖜ 5 mm, 㧗ࡉ 10, 20, 40 mm ࡲ࡛ὀ࠸ࡔ⁐⼥࢔࣑ࣝࢽ࣒࢘ࡢ
จᅛ㐣⛬ࢆィ⟬ࡋࡓ㸬ࡲࡓ㸪㗪ᆺ⾲㠃࡛ࡢ ᗘቃ⏺᮲௳ࡣ Newton ࡢ෭༷๎࡛୚࠼㸪ୖഃቃ⏺ࢆቃ⏺㠃࡛ࡢᅽຊ໙㓄࡟ᛂࡌࡓ⮬⏤ὶධฟ᮲௳࡛࠶ࡿ
࡜ࡋࡓ㸬ࡲࡓ㸪Enthalpy-Porosity ࣔࢹࣝ࡟ࡼࡿ⁐⼥⌧㇟ࡣ Brent ࡽࡢ⤖ᯝ[10]࡜ẚ㍑㸪᳨ドࡋ㸪 ᗘሙࢆྵࡴ VOF ἲ࡛ࡣ㸪Sen&Davis ࡢ⤖ᯝ[11]࡜ẚ
㍑㸪᳨ドࡋ⢭ᗘⰋࡃィ⟬࡛ࡁࡿࡇ࡜ࢆ☜ㄆࡋࡓୖ࡛ୖグᩘ್ࣔࢹࣝࢆᵓ⠏ࡋࡓ [12]㸬

ᅗ 2 ࢔࣑ࣝࢽ࣒࢘㉸㡢Ἴ༙㐃⥆㗪㐀ࣉࣟࢭࢫࡢᴫ␎ᅗఏ⇕ 2021 ᖺ 7 ᭶- 35 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࡓ㸬ᮏィ⟬࡛ࡣ㍈ᑐ⛠㏆ఝࢆ฼⏝ࡋ㸪≉࡟จᅛ⏺
㠃ᙧ≧ࡢ᫬㛫Ⓨᒎࢆㄪᰝࡋࡓ㸬ࡲࡓ㸪จᅛ⏺㠃ᙧ≧ࡢⅬ࠿ࡽᐇᶵヨ㦂⤖ᯝ࡜ẚ㍑ࡋ㸪᳨ドࡋࡓ[15]㸬
 㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࡢ㠀⥺ᙧ᣺ື⁐⼥࢔࣑ࣝࢽ࣒࢘୰࡛ࡢ㉸㡢Ἴ↷ᑕୗࡢ࢟ࣕࣅ
ࢸ࣮ࢩࣙࣥẼἻࡢ㐠ື࡜ᬗฟࡋࡓ㔠ᒓ⤌⧊ࡢ㛵ಀᛶࢆㄪᰝࡍࡿᚲせࡀ࠶ࡿࡀ㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࡢ㠀⌫ᙧ㠀⥺ᙧືຊᏛࡀ᫂☜࡛࡞࠸ࡶࡢࡀከ࠸㸬ࡑࡇ࡛㸪ࣔࢹࣝ⣔࡜ࡋ࡚Ỉ୰㸪ࡢ࢟ࣕࣅࢸ࣮ࢩࣙ
ࣥẼἻࡶࡋࡃࡣỈ୰࡟ᾮ⁲ࡀศᩓࡍࡿᾮᾮΰྜ⣔࡟࠾࠸࡚࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻ࡜ࡑࡢ௚ศᩓ┦࡜ࡢ┦஫స⏝ࢆゎ᫂ࡋ㸪ᮏ✏࡛ࡣ⤂௓ࡋ࡞࠸ࡀᐇ㦂⤖ᯝ࡜ࡶẚ㍑ࡋࡓ㸬᪉⛬ᘧ࡜ࡋ࡚ࡣᅽ⦰ᛶࡢ Navier-Stokes ᘧ㸪㐃⥆
ᘧ㸪Energy ཰ᨭᘧࢆゎࡃࡇ࡜࡜ࡋ㸪Ẽᾮΰ┦ὶࣔࢹࣝ࡜ࡋ࡚㸪ᅽ⦰ᛶࢆຍ࿡ࡍࡿࡀୖグ࡜ྠᵝࡢVOF ἲࢆ฼⏝ࡋࡓ㸬ࡲࡓ㸪௚ศᩓ┦࡜ࡢ㛵ಀᛶࢆゎ᫂ࡍࡿሙྜ࡟࠾࠸࡚ࡣ㸪3 ┦ VOF ἲࢆ฼⏝ࡍࡿࡇ࡜࡜ࡋ㸪CSF ࣔࢹࣝィ⟬᫬࡟ࡣ Laplace Filter ࢆᑟධࡋࡓ[19,20]㸬ࡲࡓ㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࡀᅽ⦰᫬࡟ࡣ㠀ᖖ࡟ᑠࡉ࠸ࢫࢣ࣮ࣝ࡟࡞ࡿࡓࡵ㸪
Adaptive Mesh Refinement㸦AMR㸧ࢆ฼⏝ࡋ࡚㸪⏺
㠃௜㏆࡛ࡢࡳィ⟬᱁Ꮚࢆ⣽ศ໬ࡋࡓ㸬❧᪉యࡢィ⟬㡿ᇦࡢቃ⏺࡛ 20 kHz ࡢ㉸㡢Ἴࢆ୚࠼㸪ẼἻࡢ᣺ື㸪ศ⿣㸪௚┦࡜ࡢ㛵ಀᛶࢆㄪᰝࡋࡓ㸬
ୖ㏙඲࡚ࡢᩘ್ゎᯒ࡛ OpenFOAM ࢆά⏝ࡋ㸪ୖグࣔࢹࣝࢆゎᯒ࡛ࡁࡿࡼ࠺ࣉࣟࢢ࣒ࣛࢆಟṇࡋ㸪ィ⟬⤖ᯝࡀୖ㏙ࡢ௚◊✲࡜Ⰻዲ࡟୍⮴ࡋ࡚࠸ࡿࡇ
࡜ࢆ☜ㄆࡋࡓୖ࡛ゎᯒࢆ⾜ࡗࡓ㸬㸲㸬ᩘ್ィ⟬⤖ᯝ จᅛ᫬ࡢయ✚཰⦰⌧㇟࢔࣑ࣝࢽ࣒࢘ࡢจᅛ᫬ࡢᅛ┦⋡ศᕸ㸪Ẽᾮ⏺㠃఩⨨ࢆᅗ 3 ࡟♧ࡍ㸬จᅛ㛤ጞ┤ᚋ࡛ࡣ㸪ึᮇ⏺㠃㧗ࡉ࡛จᅛࡀጞࡲࡿࡀ㸪จᅛ཰⦰࡟క࠸㸪ᾮ㠃ࡀపୗࡍࡿ㸬จᅛࡀ㐍⾜ࡍࡿ࡟ᚑ࠸㸪పୗࡋࡓᾮ㠃఩⨨࡛จᅛࡍࡿࡓࡵ㸪ᘬࡅࡀ⏕ᡂࡍࡿ㸬ࡲࡓ㸪ẚ
㍑ᑐ㇟࡜ࡋ࡚཰⦰ᙳ㡪ࢆ⪃៖ࡋ࡞࠿ࡗࡓィ⟬⤖ᯝࢆ♧ࡍࡀ㸪෭༷㏿ᗘ࡟኱ࡁ࡞ᙳ㡪ࡣ࡞࠸ࡶࡢࡢ㸪᭱⤊ⓗ࡞⏺㠃ᙧ≧ࡀ␗࡞ࡿ㸬 ⥆࠸࡚㸪จᅛ⏺㠃ᙧ≧࡟ᑐࡍࡿὀ‫࢔⼥⁐ࡓࡋ‮‬࣑ࣝࢽ࣒࢘㡿ᇦࡢ࢔ࢫ࣌ࢡࢺẚࡢᙳ㡪ࢆᅗ 4 ࡟♧ࡍ㸬᫬㛫Ⓨᒎ࡟క࠸จᅛࡀ㐍ᒎࡋẼᾮ⏺㠃ࡀపୗఏ⇕ 2021 ᖺ 7 ᭶ࡍࡿࡀ㸪࢔ࢫ࣌ࢡࢺẚࡢ኱ࡁ࠸ሙྜ࡟ࡣ≉࡟ᘬࡅᕢᙧ≧ࡀ㗦ࡃ࡞ࡾ㸪᭱⤊จᅛ᫬࡟ᛴ㏿࡟ࡑࡢ⏺㠃఩⨨ࡀపୗࡍࡿ㸬ࡇࡢࡼ࠺࡞⌧㇟ࡣᐇ㦂ⓗ࡟ࡶሗ࿌ࡉࢀ࡚࠾ࡾ㸪ᐃᛶⓗ࡟ᐇ㦂⤖ᯝ࡜୍⮴ࡍࡿ㸬ࡲࡓ㸪⁐⼥࢔࣑ࣝࢽ࣒࢘ࡣỈ⣲ࢆྵ᭷ࡋ㸪จᅛ᫬࡟Ỉ⣲ẼἻࡀⓎ⏕ࡋ࡚ᅛయ୰࡟ẼᏍ࡜ࡋ࡚ྲྀࡾ㎸ࡲࢀ㸪཰⦰㔞ࡀኚ໬ࡍࡿ㸬ࡇࡢࡼ࠺࡞ẼἻ⏕ᡂ࡟ࡼࡿ཰⦰㔞ኚ໬࡟ᑐࡋ࡚ࡶ㸪௒ᅇ฼⏝ࡋࡓ᪉ἲ[6]࡜
ྠᵝ࡟ᩘ್ࣔࢹࣝ࡟ྲྀࡾධࢀࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿ㸬

ᅗ 3 ࢔࣑ࣝࢽ࣒࢘จᅛ᫬ࡢᅛ┦⋡ศᕸࡢ᫬㛫㐍⾜㸸(a) ཰⦰ᙳ㡪ࢆ⪃៖ࡋࡓሙྜ, (b) ཰⦰ᙳ㡪ࢆ↓どࡋࡓሙྜ

ᅗ 4 ␗࡞ࡿ࢔ࢫ࣌ࢡࢺẚࡢ㗪ᆺ࡟࠾ࡅࡿ࢔࣑ࣝ
ࢽ࣒࢘จᅛ㐣⛬㸸࢔ࢫ࣌ࢡࢺẚ 2 (a) , 4(b) , 8(c) ࢔࣑ࣝࢽ࣒࢘ࡢ༙㐃⥆㗪㐀>@࢔࣑ࣝࢽ࣒࢘ࡢ༙㐃⥆㗪㐀᫬ࡢ㗪㐀㏿ᗘࢆኚ໬ࡉࡏࡓሙྜࡢ ᗘศᕸࢆᅗ 5 ࡟♧ࡍ㸬ᅗ୰࡛ⓑ⥺ࡣᾮ┦⥺㸪ᅛ┦⥺ ᗘࢆ♧ࡍ㸬㗪㐀㏿ᗘୖ᪼࡟క
࠸ࢧࣥࣉ㸦⁐⼥㡿ᇦ㸧ࡣ῝ࡃ࡞ࡾ㸪ᅛᾮඹᏑ㡿ᇦࡶቑຍࡍࡿ㸬ࡲࡓ㸪180 ⛊⛬ᗘ࠿ࡽࡣ࠾࠾ࡼࡑᐃ

- 36 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࡼࡗ୍࡚ᗘ༙จᅛࡋࡓ㡿ᇦࡀ෌⁐ゎࡋ࡚࠾ࡾ㸪ᅛᾮඹᏑ㡿ᇦࡀ኱ࡁࡃ᣺ືࡍࡿ㸬෌⁐ゎࡀ⏕ࡌࡿ࡜㔠ᒓ⤌⧊ᵓ㐀࡟ࡶᙳ㡪ࢆ୚࠼ࡿ㸬ࡲࡓ㸪㗪ᆺ௜㏆࡛ࡢ ᗘ᣺ືࡀ኱ࡁࡃ࡞ࡿ࡜㸪㗪⫙ᵓ㐀࡟ࡶᙳ㡪ࢆ୚࠼ࡿࡇ࡜ࡀ᝿ᐃࡉࢀࡿ㸬㉸㡢Ἴ㗪㐀࡛ࡣ㸪㗪⫙⤌⧊ࡀࡼࡾᖹ⁥໬ࡉࢀࡿࡇ࡜ࡀᐇ㦂ⓗ࡟ሗ࿌ࡉࢀ࡚࠾ࡾ[16]㸪㡢㡪ὶ࡟ࡼࡿࢧࣥࣉෆ㒊஘ὶ໬࡟క࠺ ᗘኚື࡟ࡼࡿᙳ㡪ࡀ␲ࢃࢀࡿ㸬ࡲࡓ㸪ࡇࡢ◊✲࡛ࡣ≀㉁⛣ື㸪≧ែᅗ㸦┦ᅗ㸧࡜ࡢ㐃ᡂࡀ⾜ࢃࢀ࡚࠸࡞࠸ࡓࡵ㸪௒ᚋࡼࡾヲ⣽࡞ゎᯒࡀᚲせ࡛࠶ࡾ㸪ྛྜ㔠✀࡟ᑐࡋ࡚⌧㇟ࢆᐃ㔞໬ࡉࢀࡿࡇ࡜
ࡀᮃࡲࢀࡿ㸬

ᖖⓗ࡞≧ែ࡬࡜ኚ໬ࡍࡿ㸬㗪㐀㏿ᗘࡀ኱ࡁ࠸ሙྜ
࡟ࡣᚄ᪉ྥࡢ ᗘᕪࡀ኱ࡁࡃ࡞ࡾ㸪ᙉ࠸⇕ᛂຊࡀຍࢃࡿࡇ࡜ࡀண᝿ࡉࢀࡿ㸬ᅗ 5 ࢔࣑ࣝࢽ࣒༙࢘㐃⥆㗪㐀᫬࡟࠾ࡅࡿ ᗘศᕸ㸸(a) 㗪㐀㏿ᗘ 200 mm/min, (b) 㗪㐀㏿ᗘ 100
mm/minᅗ 6 ࢔࣑ࣝࢽ࣒࢘㉸㡢Ἴ༙㐃⥆㗪㐀᫬࡟࠾ࡅࡿ
ᗘศᕸ㸸(a) 㗪㐀㏿ᗘ 200 mm/min, (b) 㗪㐀㏿ᗘ
100 mm/min㉸㡢Ἴࢆ↷ᑕࡋࡓሙྜࡢ⤖ᯝࢆᅗ 6 ࡟♧ࡍ㸬㉸㡢Ἴ↷ᑕ᫬࡟ࡣ㡢㡪ὶࡀⓎ⏕ࡋ㸪㡢㡪ὶ࡟ࡼࡗ࡚
ᗘሙ᣺ືࡀ኱ࡁࡃ࡞ࡿࡇ࡜ࡀぢ࡚ྲྀࢀࡿ㸬ࡲࡓ㸪㡢㡪ὶ࡟ࡼࡗ࡚≉࡟㗪㐀ึᮇ࡟ࢧࣥࣉࡀ῝ࡃ࡞ࡾ㸪ᗏ㒊ࡲ࡛⁐⼥㔠ᒓࡀ฿㐩ࡍࡿ㸬ຍ࠼࡚㸪㡢㡪ὶ࡟ఏ⇕ 2021 ᖺ 7 ᭶- 37 -

 ㉸㡢Ἴ࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࡢ㠀⥺ᙧ᣺ື>@⁐⼥࢔࣑ࣝࢽ࣒࢘୰࡛ࡢ㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥ
ẼἻࡢࢧ࢖ࢬࢆண ࡍࡿࡇ࡜ࡀᚲせ࡛࠶ࡿࡀ㸪ᇶᮏⓗ࡟⁐⼥㔠ᒓ୰ࡢ⌧㇟ࢆほᐹࡍࡿࡇ࡜ࡣᅔ㞴࡛࠶ࡿ㸬ࡇࡢࡓࡵ㸪㉸㡢Ἴ༳ຍ᫬࡟ẼἻࡀศ⿣ࡍࡿ
᮲௳ࢆồࡵࡿࡇ࡜࡛ᨃఝⓗ࡟ẼἻࢧ࢖ࢬࢆண ࡍࡿࡇ࡜࡜ࡋࡓ㸬ࡲࡎࡣ㸪Ỉ୰ࡢ㡢㡪࢟ࣕࣅࢸ࣮ࢩ
࡛ࣙࣥㄪᰝࡋࡓ㸬 㡢ᅽ᣺ᖜࡀప࠸ሙྜ࡟ࡣẼἻࡣ⌫ᙧࡢࡲࡲ㡢ᅽ᣺ື࡜ྠ఩┦࡛᣺ືࡍࡿࡀ㸪㡢ᅽ᣺ᖜࡀୖ᪼ࡍࡿ
࡜㠀⥺ᙧ᣺ືࢆ㛤ጞࡋ㸪ࡉࡽ࡟኱ࡁ࡞㡢ᅽ᣺ᖜ࡛ࡣẼἻࡣศ⿣ࡍࡿ㸬ᩘ್ゎᯒ⤖ᯝ࡟ࡼࡿẼἻศ⿣᮲௳௜㏆࡛ࡢẼἻ㐠ືࢆᅗ 7 ࡟♧ࡍ㸬ẼἻศ⿣┤๓࡛ࡣ㠀⥺ᙧ࡞᣺ືࣃࢱ࣮ࣥࢆྲྀࡾ㸪Rayleigh ཰⦰ᚋ࡟㠀⌫ᙧࡢ༑Ꮠ≧࡟᣺ືࡍࡿ㸬ࡉࡽ࡟ᑡࡋ㡢ᅽ᣺ᖜࡀ኱ࡁ࠸᮲௳࡛ࡣ㸪༑Ꮠ≧࡟᣺ືࡍࡿ㝿࡟ศ᩿ࡍࡿ㸬ࡇࡢศ⿣ᣲືࡣ㧗㏿ᗘࣅࢹ࣓࢜࢝ࣛࢆ
⏝࠸ࡓᐇ㦂࡛ࡶྠᵝ࡟ほᐹࡉࢀࡓ[19]㸬Brenner ࡽࡢ Rayleigh-Plesset ᪉⛬ᘧࡢᙧ≧୙Ᏻᐃᛶ࡟ᑐࡍࡿ
Ᏻᐃᛶゎᯒ⤖ᯝ[21]࡜ࡇࡢ᮲௳ࢆẚ㍑ࡍࡿ࡜㸪ࡼࡃ୍⮴ࡋ࡚࠸ࡿ㸬ࡲࡓ㸪ᙧ≧୙ᏳᐃᛶࡀⓎ⏕ࡍࡿ᮲௳ࡼࡾࢃࡎ࠿࡟኱ࡁ࠸㡢ᅽ᣺ᖜ࡛ẼἻࡀศ᩿ࡍ
ࡿ㸬ࡘࡲࡾ㸪Rayleigh-Plesset ᪉⛬ᘧࡢᙧ≧୙Ᏻᐃᛶ࡟ᑐࡋ࡚Ᏻᐃᛶゎᯒࢆ⾜࠼ࡤ㸪Ỉ୰࡛࠶ࢁ࠺ࡀ
⁐⼥࢔࣑ࣝࢽ࣒࢘୰࡛࠶ࢁ࠺ࡀ㸪ẼἻᚄࢆ᥎ ࡛ࡁࡿ࡜⪃࠼ࡽࢀࡿ㸬ࡲࡓ㸪⌫ᙧ᣺ືࡢሙྜ࡟ࡣᅽ
⦰᫬࡟ẼἻ୰ᚰ࡛㧗 ሙࡀⓎ⏕ࡍࡿࡀ㸪⏺㠃௜㏆ࡢ ᗘࡣ࡯࡜ࢇ࡝ୖ᪼ࡋ࡞࠿ࡗࡓ㸬୍᪉࡛㸪㠀⌫ᙧ᣺ືࡍࡿሙྜ࡟ࡣ㸪⏺㠃௜㏆ࡢ ᗘࡶኚືࡋࡓ㸬ࡘࡲࡾ㸪㠀⌫ᙧ᣺ືࡣ⁐⼥࢔࣑ࣝࢽ࣒࢘୰ࡢ㔠ᒓ㛫໬ྜ≀ࡢ᰾⏕ᡂ࡟ᐤ୚ࡍࡿྍ⬟ᛶࡀ࠶ࡿ㸬

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࢙ࢵࢺࡢࢫࢣ࣮ࣜࣥࢢ๎[24,25]ࢆ฼⏝ࡍࡿࡇ࡜࡛
ㄝ࡛᫂ࡁࡿࡀ㸪ᾮ⁲࡜㐃⥆┦ࡢᐦᗘẚࡀ㔜せ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬⁐⼥࢔࣑ࣝࢽ࣒࢘୰࡛ࡢ࢟ࣕࣅ
ࢸ࣮ࢩࣙࣥ࡜㔠ᒓ㛫໬ྜ≀ࡢ㛵ಀᛶࡣᵓ㐀ࡀࡼࡾ」㞧࡛࠶ࡿ࡜⪃࠼ࡽࢀ㸪᭦࡞ࡿㄪᰝࡀᚲせ࡛࠶ࡿ㸬ᅗ 7 㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࡢศ᩿ࡢᵝᏊ[19] ḟ࡟㸪㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥࡀ௚┦࡟ཬࡰࡍᙳ
㡪ࢆㄪᰝࡍࡿࡓࡵ㸪㉸㡢Ἴ↷ᑕୗ࡛ࡢỈ୰ࡢ࢟ࣕࣅࢸ࣮ࢩࣙࣥ࡜ᾮ⁲ࡢ㛵ಀᛶࢆㄪᰝࡋࡓ[20]㸬ᾮ⁲࡜ࡋ࡚㸪ࢩࣜࢥ࣮ࣥ࢜࢖ࣝ㸪ࡶࡋࡃࡣ࣒࢞ࣜ࢘
ࢆ⏝࠸㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻ࡜୍ᐃ㛫㝸㞳ࡋࡓሙᡤ࡟㓄⨨ࡋ㸪㉸㡢Ἴࢆ↷ᑕࡋࡓ᮲௳࡛ィ⟬ࢆ⾜ࡗࡓ㸬 ᅗ 8 ࡟㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥ࡜ᾮ⁲ࡢ㛵ಀᛶࢆ♧ࡍ㸬ᅗ୰ᕥୖࡢᩘᏐࡣ᫬㛫ࢆ⾲ࡋ㸪༢఩ࡣPs ࡛࠶ࡿ㸬࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࡣ㡢ᅽࡢపୗ࡟ྜࢃ
ࡏ࡚⭾ᙇࡋ㸪㡢ᅽࡀୖ᪼ࡍࡿ࡟ࡘࢀᛴ㏿࡟ᅽ⦰ࡉࢀࡿ㸬ᅽ⦰ࡉࢀࡿ㝿࡟㸪⌫࿘㎶࡛㠀ᑐ⛠ᛶࢆᣢࡘࡇ࡜࠿ࡽᾮయࢪ࢙ࢵࢺࡀ⏕ᡂࡉࢀࡿ㸬ࡲࡓ㸪㦫ࡃ࡭ࡁࡇ࡜࡟㸪࣒࢞ࣜ࢘ᾮ⁲ࢆ฼⏝ࡋࡓሙྜ࡟ࡣቨ
㠃㏆ഐࡢ࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻ࡜ྠᵝ㸪ᾮ⁲࡟ྥ࠿ࡗ࡚ᾮయࢪ࢙ࢵࢺࡀ⏕ᡂࡍࡿࡀ㸪ࢩࣜࢥࣥ࢜࢖
ࣝࡢሙྜ࡟ࡣ㸪ᾮయࢪ࢙ࢵࢺࡢⓎ⏕᪉ྥࡀ཯㌿ࡍࡿ㸬ࢩࣜࢥࣥ࢜࢖ࣝࡢሙྜࡣᐦᗘࡀపࡃ㸪ᾮ⁲ࡀ኱ࡁࡃኚᙧࡍࡿࡓࡵ㸪ẼἻࡢᛴ㏿࡞཰⦰᫬࡟ẼἻ࿘ᅖࡢὶືࣃࢱ࣮ࣥࡀኚ໬ࡋ㸪ᾮ⁲ഃ࡟ὶࢀࡀ㞟ࡲࡿࡇ࡜࡛㸪ᾮయࢪ࢙ࢵࢺⓎ⏕᪉ྥࡀ཯㌿ࡋࡓ࡜⪃࠼ࡽࢀࡿ㸬ࡲࡓ㸪ᐇ㦂ⓗ࡟ࡇࡢᾮయࢪ࢙ࢵࢺⓎ⏕᪉ྥࡀ཯㌿ࡍࡿ࠿ࢆ☜ㄆࡍࡿࡓࡵ㸪ᾮ⁲࿘㎶ࡢ࢟ࣕࣅࢸ࣮ࢩࣙࣥẼἻࢆ㧗㏿ᗘࣅࢹ࣓࡛࢜࢝ࣛ᧜
ᙳࡋࡓ[22]㸬࣒࢞ࣜ࢘ࡢሙྜ࡟ࡋ࠿᧜ᙳࡍࡿࡇ࡜
࡟ᡂຌࡋ࡞࠿ࡗࡓࡀ㸪࣒࢞ࣜ࢘ᾮ⁲ࢆ฼⏝ࡋࡓሙྜ࡟ࡣ㸪ᾮయࢪ࢙ࢵࢺࡣᾮ⁲࡟ྥ࠿ࡗ࡚Ⓨ⏕ࡋࡓ㸬ࡲࡓ㸪ࡇࡢ㝿࡟ィ⟬⤖ᯝ࡜ྠᵝ࡟㸪ᾮయࢪ࢙ࢵࢺ
Ⓨ⏕┤ᚋ࡟ᚤ⣽ᾮ⁲ࡀ୺࡞ᾮ⁲࠿ࡽ㞳⬺ࡋࡓ㸬ࡑࡢᚋ㸪࣮ࣞࢨ࣮࢟ࣕࣅࢸ࣮ࢩࣙࣥࡢሙྜ࡛ࡣ࠶ࡿ
ࡀ㸪ูࡢ◊✲⪅࡟ࡼࡗ࡚Ἔ⁲࠿ࡽ཯ᑐ᪉ྥ࡟ྥ࠿
ࡗ࡚ᾮయࢪ࢙ࢵࢺࡀⓎ⏕ࡍࡿ࡜ᐇ㦂ⓗ࡟ሗ࿌ࡉࢀ
ࡓ[23]㸬ࡇࢀࡣ㸪࢟ࣕࣅࢸ࣮ࢩࣙࣥ࠿ࡽࡢᾮయࢪ

ఏ⇕ 2021 ᖺ 7 ᭶

ᅗ 8 ᾮ⁲࡜㡢㡪࢟ࣕࣅࢸ࣮ࢩࣙࣥࡢ┦஫స⏝:(1) Ỉ-࢟ࣕࣅࢸ࣮ࢩࣙࣥ-࣒࢞ࣜ࢘⣔, (2) Ỉ-࢟ࣕࣅࢸ࣮ࢩࣙࣥ-ࢩࣜࢥ࣮ࣥ࢜࢖ࣝ⣔[20].
㸳㸬ࡉ࠸ࡈ࡟ ࢔࣑ࣝࢽ࣒࢘ࡢ⏕⏘ࣉࣟࢭࢫࡢ◊✲ࡢ୍㒊࡟
OpenFOAM ࢆά⏝ࡋࡓ஦౛ࢆሗ࿌ࡋࡓ㸬㉸㡢Ἴ㗪㐀ࣉࣟࢭࢫࡢ඲ᐜࢆゎ᫂ࡍࡿ࡟ࡣ⛬㐲࠸ࡀ㸪
OpenFOAM ࢆ฼⏝ࡋࡓᩘ್ィ⟬࡟ࡼࡗ࡚㸪ᚎࠎ࡟ᇶ♏▱ぢࡀ✚ࡳୖࡀࡗ࡚ࡁ࡚࠸ࡿ㸬ࡲࡓ㸪௒ᅇ⤂௓ࡋ࡚࠸࡞࠸ࡀ㸪OpenFOAM ࡟ࡣ solver ࡀከᩘ‽ഛࡉࢀ࡚࠾ࡾ㸪ᅽ⦰ᛶ㸪㠀ᅽ⦰ᛶὶయ㸪⇕ᑐὶ㸪஘ὶ㸪⇞↝㸪㟁☢ሙࡢゎᯒ࡟ຍ࠼㸪Euler-Euler㸪Euler-Lagrange ࣔࢹࣝ㸪DEM㸪CFD-DEM 㐃ᡂ㸪㝶కゎᯒ➼ࢆ⾜࠼ࡿ㸬୍᪉࡛㸪࣮࢜ࣉࣥࢯ࣮ࢫ࡛࠶
ࡿࡇ࡜࠿ࡽୖグࡢࡼ࠺࡟ࢥ࣮ࢻࢆಟṇࡋ㸪ゎᯒࡋࡓ࠸⌧㇟࡟ᑐࡋ࡚ᣑᙇࡍࡿࡇ࡜ࡀ࡛ࡁࡿ㸬ᣑᙇᛶࡀ㧗࠸ࡓࡵ㸪ⴭ⪅ࡽࡣ௚࡟ࡶ౛࠼ࡤ㉸㡢Ἴఏ᧛[26]㸪⇕ᑐὶจᅛ࡜⁐Ꮡ࢞ࢫ࡟ࡼࡿẼἻࡢ⏕ᡂ࡜㐠ື࡟ᑐࡍࡿ Euler-Lagrange 㐃ᡂ[27]ࡸ≧ែᅗ㸦┦ᅗ㸧࡜㐃ᡂࡋࡓ࣐ࢡࣟ೫ᯒゎᯒ➼ࡶ⾜ࡗ࡚࠸ࡿ㸬ࡲࡓ㸪ከᩘࡢ◊✲⪅ࡀᣑᙇࣉࣟࢢ࣒ࣛࢆ git ୖ࡛බ㛤ࡋ࡚࠾ࡾ㸪௒ᚋ᭦࡞ࡿከᩘࡢ⌧㇟ࢆゎᯒ࡛ࡁࡿࣉࣛࢵࢺࣇ࢛࣮࣒࡟࡞ࡿྍ⬟ᛶࡀ㧗࠸࡜ᛮࢃࢀ
ࡿ㸬

- 38 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
83 (2017) 223-244.
[13] Komarov, S. et al., Metall. Mater. Trans. A, 46(2015) 2876-2883.

ㅰ㎡ᮏ◊✲ࡢ୍㒊ࡣ㸪᪥ᮏ࢔࣑ࣝࢽ࣒࢘༠఍࢔࣑ࣝ
ࢽ࣒࢘◊✲ຓᡂ㸪㍍㔠ᒓዡᏛ఍◊✲ຓᡂ㸪ᮾி኱Ꮫ᝟ሗᇶ┙ࢭࣥࢱ࣮ⱝᡭ࣭ዪᛶ฼⏝⪅᥎⸀㸪᪥ᮏ〇㕲ⱝᡭᩍဨጤクไᗘ㸪⛉◊㈝(ⱝᡭ)ࡢᨭ᥼ࢆཷ
ࡅࡓ㸬ࡇࡇ࡟ㅰពࢆ⾲ࡍ㸬ཧ⪃ᩥ⊩[1] Eskin, G. I. and Eskin, D. G., Ultrasonic treatmentof light alloys melts, CRC Press, (2015).
[2] Yasui, K., Acoustic cavitation and bubble
dynamics, Springer, (2017).
[3] Weller, H.G., Technical report of OpenCFD Ltd.,(2008) TR/HGW/04.
[4] Voller, V. R. and Prakash, C., Int. J. Heat Mass[14] Subroto, T. et al., JOM, 72 (2020) 4071-4081.
[15] Komarov, S. and Yamamoto, T., Materials, 12(2019) 3532.
[16] Yamamoto, T. and Komarov, S., J. Mater.
Process. Technol. 294 (2021) 117116.
[17] Fang, Y. et al., Ultrason. Sonochem., 48 (2018)79-87.
[18] Weckman, D. C. and Niessen, P., Metall. Mater.
Trans. B, 13B (1982) 593-602.
[19] Yamamoto, T. et al., Ultrason. Sonochem., 58(2019) 104684.
[20] Yamamoto, T. and Komarov, S. V., Ultrason.

Transfer, 30 (1987) 1709-1719.
[5] Rösler, F. and Brüggemann, D., Heat Mass

Sonochem., 62 (2020) 104874.
[21] Brenner, M. P. et al., Phys. Rev. Lett., 75 (1995)
954-957.

Transfer, 47 (2011) 1027-1033.
[6] Bounds, S. et al., Metall. Mater. Trans. B, 31B(2000) 515-527.

[22] Yamamoto, T. et al., Ultrason. Sonochem., 71(2021) 105387.

[7] Brackbill, J. U. et al., J. Comput. Phys., 100(1992) 335-354.

[23] Orthaber, U. et al., Ultrason. Sonochem., 68(2020) 105224.
[24] Gibson, D. C. and Blake, J. R., Appl. Sci. Res.,[8] Lafaurie, B. et al., J. Comput. Phys., 113 (1994)
134-147㸬
[9] Leitner, M. et al., Metall. Mater. Trans. A, 48A(2017) 3036-3045.

38 (1982) 215-224.
[25] Supponen, O. et al., J. Fluid Mech., 802 (2016)263-293.
[26] Yamamoto, T. and Komarov, S. V., Light Metals,[10] Brent, A. D. et al., Num. Heat Tr.-B Fund., 13(1988) 297-318.

2019 (2019) 1527-1531.
[27] Yamamoto, T. and Komarov, S. V., Int. J. Cast[11] Sen, A. K. and Davis, S. H., J. Fluid Mech., 121(1982) 163-186.
[12] Yamamoto, T. et al., Int. J. Num. Meth. Fluids,ఏ⇕ 2021 ᖺ 7 ᭶

Metals Res., 32 (2019) 266-277.

- 39 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE

OpenFOAM ࡜ఏ⇕ၥ㢟
OpenFOAM and Heat Transfer Problems୰ᕝ ៅ஧㸦ᐩᒣ┴❧኱Ꮫ㸧
Shinji Nakagawa (Toyama Prefectural University)e-mail: snakagaw@pu-toyama.ac.jp᠈ࡋ࡚࠸ࡿ㸬
㸧ࡇ࠺࠸ࡗࡓほⅬ࡛ OpenFOAM ࢆぢࡿࡇ࡜ࡀ࡛ࡁࡿே࡛࠶ࢀࡤ㸪᭷ຠ࡟ά⏝࡛ࡁࡿࡶࡢ࡛࠶ࡿ㸬
OpenFOAM ࡢ฼⏝᪉ἲࡸᏛ⩦᪉ἲ࡟ࡘ࠸࡚㸪࢖ࣥࢱ࣮ࢿࢵࢺୖ࡟ከࡃࡢ᝟ሗࡀᏑᅾࡍࡿ㸬᭱㏆࡛ࡣ㸪᪥ᮏㄒ࡛ࡢゎㄝ᭩⡠[4-6]ࡶ」ᩘᏑᅾࡍࡿ㸬ᐩᓅࢆࡣࡌࡵ࡜ࡍࡿᅜෆࡢࢫ࣮ࣃ࣮ࢥࣥࣆ࣮ࣗࢱ࡛
ࡶࢩࢫࢸ࣒ഃ࡛࢖ࣥࢫࢺ࣮ࣝ῭ࡳ࡛࠶ࡾ㸪ࣀ࣮ࢺࣃࢯࢥࣥ࠿ࡽࢫ࣮ࣃ࣮ࢥࣥࣆ࣮ࣗࢱࡲ࡛ࡢᖜᗈ࠸
ࣁ࣮ࢻ࢙࢘࢔ࢆ⮫ᶵᛂኚ࡟౑࠺ࡇ࡜ࡀ࡛ࡁࡿ㸬
OpenFOAM ࡣὶయゎᯒࢆ୺࡜ࡋ࡚࠸ࡿࡀ㸪ఏ⇕ၥ㢟࡟ࡘ࠸࡚ࡶ㐺⏝࡛ࡁࡿᶵ⬟ࡀྵࡲࢀ࡚࠸ࡿ㸬ᮏ✏࡛ࡣ㸪࡝࠺࠸ࡗࡓᶵ⬟ࡀ฼⏝࡛ࡁࡿࡢ࠿ࢆㄝ
᫂ࡋ㸪ࡑࡢ฼⏝౛ࢆ⤂௓ࡋࡓ࠸㸬㸯㸬ࡣࡌࡵ࡟
OpenFOAM ࡣ㸪೫ᚤศ᪉⛬ᘧࢆ᭷㝈య✚ἲ࡛ゎࡃࡓࡵࡢ C++ࣛ࢖ࣈ࡛ࣛࣜ࠶ࡾ㸪࣮࢜ࣉࣥࢯ࣮ࢫ
ࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚බ㛤ࡉࢀ࡚࠸ࡿ㸬OpenFOAM
ࡑࡢࡶࡢ࡟ࡘ࠸࡚ࡣᮏ≉㞟ྕࡢ௚グ஦࡛ヲ⣽ࡀㄝ᫂ࡉࢀ࡚࠸ࡿࡓࡵ㸪ࡇࡇ࡛ࡣⴭ⪅ࡢಶேⓗ࡞⤒㦂ࢆඖ࡟㸪ఏ⇕ศ㔝࡬ࡢ㐺⏝࡟ࡘ࠸࡚⪃࠼ࡿ㸬
OpenFOAM ࡀ㛵ᚰࢆ㞟ࡵ㸪ᗈࡃᛂ⏝ࡉࢀ࡚࠸ࡿ
ࡢࡣ㸪ࡑࡢỗ⏝ᛶ࡜බ㛤ᛶࡢ㧗ࡉࡀせᅉ࡜⪃࠼ࡿ㸬ࢯ࣮ࢫࢥ࣮ࢻࡀ Github[1]ࡸ Gitlab[2]࡛බ㛤ࡉࢀ㸪࣮ࣘࢨ࡜㛤Ⓨ⪅࡜ࡢࣂࢢ࡟㛵ࡍࡿࡸࡾ࡜ࡾࡸ㛤Ⓨ୰ࡢࢯ࣮ࢫࢥ࣮ࢻ࡞࡝ࡶ⮬⏤࡟㜀ぴ࡛ࡁࡿ㸬Ⓨぢࡋࡓࣂࢢࢆሗ࿌ࡍࡿ࡜㸪㛤Ⓨ⪅ࡀ㎿㏿࡟཯ᛂࡋ࡚
ࡃࢀ㸪ᚲせ࡞ሙྜ࡟ࡣ༶᫬࡟ಟṇࡀ᪋ࡉࢀࡿ㸬࣮ࣘࢨࡀ㛤Ⓨࡋࡓࢥ࣮ࢻࡀྲྀࡾධࢀࡽࢀࡿࡇ࡜ࡶ࠶
ࡿ㸬᪥ᮏ࡛㛤Ⓨࡉࢀࡓඃࢀࡓࣇ࣮ࣜࢯࣇࢺ࢙࢘࢔࡜
ࡋ࡚㸪FrontFlow/red ࡀᏑᅾ[3]ࡍࡿ㸬FronFlow/redࡣ஘ὶࡢ㠀ᐃᖖ⌧㇟ࡢ㧗⢭ᗘண ࡀྍ⬟࡞ LESࢆ୺య࡜ࡋࡓ㧗ᛶ⬟࡞ࢯࣇࢺ࢙࢘࢔࡛࠶ࡾ㸪ᅜෆࡢࢫ࣮ࣃ࣮ࢥࣥࣆ࣮ࣗࢱ࡛ࡢ฼⏝ᐇ⦼ࡣ㧗࠸࡜᝿ീࡉࢀࡿ㸬ࡋ࠿ࡋ㸪ࢯ࣮ࢫࢥ࣮ࢻࡢධᡭࡸႠ฼┠ⓗ࡛ࡢ౑⏝࡟ࡘ࠸࡚ࡣᡭ⥆ࡁࡀᚲせ࡛࠶ࡾ㸪㍍࠸
Ẽᣢࡕ࡛ゐࡗ࡚ࡳࡿ࡟ࡣࣁ࣮ࢻࣝࡀ㧗࠸࡜ឤࡌࡽ
ࢀࡿ࡛࠶ࢁ࠺㸬
OpenFOAM ࡣ㠀ᖖ࡟౽฼࡞ࡶࡢ࡛࠶ࡿࡀ㸪ᑟධ࡬ࡢᩜᒃࡸᏛ⩦ࢥࢫࢺࡀ㧗࠸࡜⪃࠼ࡿேࡶከ࠸㸬
OpenFOAM ࢆ CFD ࢯࣇࢺ࢙࢘࢔࡜ᤊ࠼ࡿ࡜㸪ࡇࡢ⪃࠼ࡣ⣡ᚓ࡛ࡁࡿ㸬ࡋ࠿ࡋ㸪OpenFOAM ࡣ࠶ࡃࡲ࡛ࡶ౽฼࡞ C++ࣛ࢖ࣈ࡛ࣛࣜ࠶ࡿ࡜⪃࠼ࡿ࡭ࡁࡶࡢ࡛࠶ࡿ㸬ࡍࡄ࡟ᐇ⾜࡛ࡁࡿࢯࣇࢺ࢙࢘࢔࣭ࢯ
ࣝࣂ࡜ࡋ࡚ࡶᥦ౪ࡉࢀ࡚࠸ࡿࡀ㸪ࡇࢀࡣࣛ࢖ࣈࣛ
ࣜࡢ౑⏝᪉ἲࢆㄝ᫂ࡍࡿࡓࡵࡢࢧࣥࣉࣝ࡜ࡋ࡚ῧ
௜ࡉࢀ࡚࠸ࡓࡶࡢ࡛࠶ࡿ㸬㸦ၟ⏝ࢯࣇࢺ࢙࢘࢔࡜
ࡋ࡚㛤Ⓨࡉࢀ࡚࠸ࡓ FOAM ࡀ࣮࢜ࣉࣥࢯ࣮ࢫ࡟
⛣⾜ࡋࡓᙜ᫬࡟ࡣ㸪ࡑࡢࡼ࠺࡞グ㏙ࡀ࠶ࡗࡓ࡜グఏ⇕ 2021 ᖺ 7 ᭶

㸰㸬2SHQ)2$0 ᶆ‽ᶵ⬟ ᶆ‽ࢯࣝࣂ
OpenFOAM ࡛ࡣ㸪ゎࡁࡓ࠸ၥ㢟࡟ྵࡲࢀࡿ≀⌮⌧㇟࡟ᛂࡌ࡚ࢯࣝࣂࢆ㑅ᢥࡍࡿᚲせࡀ࠶ࡿ㸬ၟ⏝ࢯࣇࢺ࢙࢘࢔ࡢࡼ࠺࡟㸪࡜ࡾ࠶࠼ࡎࢯࣇࢺ࢙࢘࢔
ࢆ㉳ືࡋ࡚࠿ࡽ㸪ゎࡁࡓ࠸≀⌮⌧㇟ࡢ࣎ࢱࣥࢆᢲ
ࡍ࡜࠸ࡗࡓᙧ࡛ࡣ࡞࠸㸬ࡑࡢࡓࡵ㸪࡝ࡢࡼ࠺࡞ᶵ
⬟ࡀྵࡲࢀࡿࢯࣝࣂࡀᏑᅾࡍࡿࡢ࠿㸪ࡲࡓ㸪࡝ࡢ≀⌮⌧㇟ࢆྵࡵ࡚ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ᪋ࡋࡓ࠸
ࡢ࠿ࢆ⪃࠼㸪ࢯࣝࣂࢆ㑅ᢥࡍࡿᚲせࡀ࠶ࡿ㸬
OpenFOAM v2012 ࡛ࠕఏ⇕࠾ࡼࡧᾋຊὶࢀࠖࢯ
ࣝࣂ࡜ࡋ࡚ᩚ⌮[7]ࡉࢀ࡚࠸ࡿࡶࡢࢆ⾲ 1 ࡟♧ࡍ㸬ࢯࣝࣂྡ࡟ྵࡲࢀࡿ࣮࣮࢟࣡ࢻ࠿ࡽ㸪࠾࠾ࡼࡑࡢ
ᶵ⬟ࢆ᥎ ࡛ࡁࡿ㸬Simple ࡜ࡣ SIMPLE ἲࢆ฼⏝ࡋࡓᐃᖖࢯࣝࣂ㸪Pimple ࡜ࡣ SIMPLE ἲ࡜ PISOἲ࡜ࢆ⤌ࡳྜࢃࡏࡓ㠀ᐃᖖࢯࣝࣂࢆ⾲ࡍ㸬ィ⟬㡿ᇦෆ࡟ᅛయ㡿ᇦ࡜ὶయ㡿ᇦࡀᏑᅾࡋ㸪୧㡿ᇦ࡛⇕ࡀ⛣ືࡍࡿሙྜ࡟ࡣ㸪ᅛయ㸫ὶయࡢ⇕㐃ᡂ㸦Conjugate Heat Transfer㸧ࢆ⾲ࡍ cht ࡜࠸࠺࣮࣮࢟࣡ࢻࡢධࡗࡓࢯࣝࣂࢆ฼⏝ࡍࡿ㸬ࡇࢀࡽࡢࢯ
ࣝࣂࡣ㸪㡿ᇦẖ࡟ゎࢆồࡵࡿᙅ㐃ᡂ࡜ࡋ࡚ᐇ⿦ࡉ

- 40 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
ࢀ࡚࠸ࡿ㸬OpenFOAM ࡛⇕ၥ㢟ࢆᢅ࠺᫬ࡢㄢ㢟࡜ࡋ࡚㸪ࡇࡢ cht ࢯࣝࣂ࡛ࡢゎᯒࡀ㛗᫬㛫㸦ၟ⏝ࢯࣇࢺࡸᨵⰋࢥ࣮ࢻ࡟ẚ࡭࡚ᩘಸ࠿ࡽᩘ༑ಸ㸧࡟࡞
ࡿ[8]ࡇ࡜ࡀᣲࡆࡽࢀࡿ㸬ࡇࢀ࡟ᑐࡍࡿᨵၿࡣᖖ࡟
ヰ㢟࡜࡞ࡗ࡚࠾ࡾ㸪㏆࠸ᑗ᮶ࡢ࢔ࢵࣉࢹ࣮ࢺ࡛ᨵ
ၿࡉࢀࡿ࡜ᮇᚅࡉࢀ࡚࠸ࡿ㸬OpenFOAM ࢆ࣮࣋ࢫ࡜ࡍࡿၟ⏝ࢯࣇࢺ࢙࢘࢔ Helyx ࡸ㸪OpenFOAM ࡢὴ⏕∧ foam-extend 4.1 ࡛ࡣ㸪ᨵၿࡉࢀࡓࢥ࣮ࢻࡀᏑᅾࡍࡿ㸬ఏ⇕࡟㛵ಀࡍࡿࡶࡢ࡜ࡋ࡚ࡣ㸪⇞↝ၥ㢟࡟㛵ࡍࡿࢯࣝࣂࡶᏑᅾࡍࡿ㸬ࡇࢀ࡟ࡘ࠸࡚ࡣ㸪ᮏ≉㞟ྕࡢಖᆏẶࡢグ஦ࢆཧ↷ࡋ࡚࠸ࡓࡔࡁࡓ࠸㸬
OpenFOAM ࡀᚓព࡜ࡍࡿΰ┦ὶ࡟㛵ࡍࡿࢯࣝࣂ࡛ࡶ㸪⇕࣭࢚ࢿࣝࢠ࣮㍺㏦᪉⛬ᘧࡀゎ࠿ࢀ࡚࠾ࡾ㸪ఏ⇕ၥ㢟࡟㐺⏝ࡍࡿࡇ࡜ࡀ࡛ࡁࡿ㸬⾲㠃ᙇຊࡸ᥋ゐゅࡢ ᗘ౫Ꮡᛶ࡟㛵ࡍࡿࣔࢹࣝࡶᏑᅾࡍࡿ㸬ࡓࡔࡋ㸪ࡇࢀࡽࡢᶵ⬟࡟ࡘ࠸࡚ࡣ㸪ᚲせ࡜ࡍࡿ⢭ᗘ࡛⌧㇟ࢆ෌⌧࡛ࡁࡿࡢ࠿ὀព῝ࡃ᳨ドࡍࡿᚲせࡀ࠶ࡿ㸬ᅛయ㡿ᇦࢆྵࡲ࡞࠸እ㒊ὶࢀࡢఏ⇕ၥ㢟࡛࠶ࢀࡤ㸪OpenFOAM ࢆຠ⋡ⓗ࡟౑࠺ࡇ࡜ࡀ࡛ࡁࡿ㸬ୖ
㏙ࡋࡓィ⟬㏿ᗘࡢၥ㢟࠿ࡽ㸪ᅛయ㡿ᇦࢆྵࡴၥ㢟࡟ᑐࡋ࡚ࡣ㸪OpenFOAM ࡢ౑⏝ࡀ㐺ࡋ࡚࠸ࡿ࠿ࢆ᳨ウࡍࡿᚲせࡀ࠶ࡿ㸬⾲ 1 ఏ⇕ศ㔝ᶆ‽ࢯࣝࣂ࡜ᑐᛂᶵ⬟㸦v2012㸧
ศ
ᅛ
㔜
㠀
ᩓ
య
㠀
ྜ
ᾋ ᅽ
ᐃ
Solver Name
ΰ
⇕
ᐃ
ຊ ⦰
᱁
ᖖ
㐃
┦
ᖖ
Ꮚ
ᛶ
ᡂ
ὶ
buoyantBoussinesqPi‫ۑ ۑ‬
mpleFoambuoyantBoussinesqSi‫ۑ‬‫ۑ‬
mpleFoambuoyantPimpleFoam‫ۑ ۑ ۑ‬overBuoyantPimpleD‫ۑ ۑ ۑ‬‫ۑ‬
yMFoambuoyantSimpleFoam ‫ۑ‬‫ۑ ۑ‬
chtMultiRegionFoam‫ۑ ۑ ۑ ۑ‬
chtMultiRegionSimpl‫ۑ‬‫ۑ ۑ ۑ‬eFoam
chtMultiRegionTwoP‫ۑ ۑ ۑ ۑ‬‫ۑ‬haseEulerFoam
thermoFoam‫ۑ‬ࡑࢀࡒࢀࡢ≀⌮⌧㇟࡟ࡘ࠸࡚」ᩘࡢࣔࢹࣝࡀྵ
ࡲࢀ࡚࠸ࡿ㸬౛࠼ࡤᨺᑕ࡟㛵ࡋ࡚ࡣ㸪Finite volume
discrete ordinate ἲ㸪P1 ἲ㸪ᙧែಀᩘἲ㸪᪥ᑕࣔࢹࣝ࡞࡝ࡀᏑᅾࡍࡿ㸬๓⠇࡛⤂௓ࡋࡓఏ⇕㛵㐃ࢯࣝࣂ࡛ࡣ㸪ࡇࢀࡽࡢᨺᑕ࡟㛵ࡍࡿᶵ⬟ࡀ฼⏝ྍ⬟࡛࠶ࡿ㸬 ஘ὶࣔࢹࣝ
OpenFOAM ࡛ࡣ㸪DNS㸪LES㸪DES㸪RANS ࡟ࡼࡿ஘ὶィ⟬ࡀྍ⬟࡛࠶ࡿ㸬ὶࢀሙ࡟ᑐࡋ࡚ࡣ㸪ࣞ࢖ࣀࣝࢬᖹᆒ஘ὶࣔࢹࣝ RANS ࡜ࡋ࡚㸪ᩘከࡃࡢࣔࢹࣝࡀ⏝ពࡉࢀ࡚࠸ࡿ㸬ࡋ࠿ࡋ㸪 ᗘሙ࡟ᑐࡋ࡚ࡣ஘ὶࣉࣛࣥࢺࣝᩘࢆᣦᐃࡍࡿ 0 ᪉⛬ᘧࣔࢹࣝࡀᶆ‽ᶵ⬟࡜ࡋ࡚Ꮡᅾࡍࡿࡔࡅ࡛࠶ࡿ㸬஘ὶఏ⇕࡟ࡘ࠸࡚ࡣ㸪ࡉࡽ࡞ࡽᶵ⬟ࡢ඘ᐇࡀồࡵࡽࢀࡿ㸬㸱㸬㐺⏝஦౛
 ᐦ㛢✵㛫ෆ⮬↛ᑐὶ
OpenFOAM ࡟ࡼࡿ⮬↛ᑐὶၥ㢟࡬ࡢྲྀ⤌ࡳ౛
࡜ࡋ࡚㸪Betts ࡜ Bokhari ࡟ࡼࡿᐇ㦂[10, 11]࡜ࡢẚ
㍑ࢆ⤂௓ࡍࡿ㸬ࡇࢀࡣ㸪OpenFOAM ࡢ౛㢟࡜ࡋ࡚㸪ᐇ㦂⤖ᯝ࡜ࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝ࡜ࡢẚ㍑ࡲ࡛ࢆ
⮬ື໬ࡍࡿ᪉ἲࡀ⤌ࡳ㎸ࡲࢀ࡚࠸ࡿࡶࡢ࡛࠶ࡿ㸬ィ⟬ᑐ㇟ࡣ㸪ᖜ 76mmዟ⾜ࡁ 520mm㧗ࡉ
2180mm ࡢⷧ࠸▴ᙧᐜჾ࡛࠶ࡿ㸬ERCOFTAC ࡢ
case079 ࡜ࡋ࡚ᐇ㦂⤖ᯝࡀබ㛤[11]ࡉࢀ࡚࠸ࡿ㸬ᑐ㠃ࡍࡿቨ㠃ࢆ㧗 ࡜ప ࡟⥔ᣢࡍࡿࡇ࡜࡛㸪▴ᙧᐜჾෆ࡟⮬↛ᑐὶࡀ⏕ࡌࡿ㸬ୖୗ㠃࠾ࡼࡧ๓ᚋࡢ
㠃ࡣ᩿⇕࡜ࡉࢀ࡚࠸ࡿ㸬ࢩ࣑࣮ࣗࣞࢩ࡛ࣙࣥࡣ㸪ࣞ࢖࣮ࣜᩘࡀ 8.6105 ࡢ᮲௳ࢆᑐ㇟࡜ࡋ࡚࠸ࡿ㸬ࢯࣝࣂ࡟ࡣ buoyantSimpleFoam ࢆ฼⏝ࡋ㸪ᅽ⦰ᛶὶయ㸦✵Ẽࢆ⌮᝿Ẽయ࡜ࡋ࡚ᢅ࠺㸧ࡢᐃᖖὶࢀ

 ᶆ‽ࣛ࢖ࣈࣛࣜ
OpenFOAM ࡟ࡣᩘከࡃࡢࣛ࢖ࣈࣛࣜࡀᏑᅾࡍ

ఏ⇕ 2021 ᖺ 7 ᭶ࡿࡓࡵ㸪඲࡚࡟ࡘ࠸࡚ㄝ᫂ࡍࡿࡇ࡜ࡣ࡛ࡁ࡞࠸㸬౛࠼ࡤ㸪OpenFOAM v2012 ࡛ thermophysical ࣔࢹࣝ࡜ࡋ࡚⤂௓ࡉࢀ࡚࠸ࡿࡶࡢࡣḟࡢ㏻ࡾ࡛࠶ࡿ
[9]㸬
z Basic thermophysical models
z Reaction models
z Radiation modelsz Laminar flame speed models
z Barotropic compressibility models
z Thermophysical properties of gaseous species
z Functions/tables of thermophysical properties
z Chemistry modelz Other libraries- 41 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
ࢆ RANS ᆺ஘ὶࣔࢹࣝ㸦k-Z SST㸧࡟ࡼࡗ࡚ணࡋ ࡓ 㸬OpenFOAM ᶆ ‽ῧ ௜ ࡢ౛ 㢟㸦 ౛ 㢟ྡ 㸸
buoyantCavity㸧ࢆඖ࡟㸪࣓ࢵࢩࣗᩘࢆ 70720
180 ಶ࡜ቑࡸࡋ㸪཰᮰ุᐃ᮲௳ࢆཝࡋࡃࡍࡿ࡞࡝
ࡢㄪᩚࢆຍ࠼ࡓ㸬஘ὶࣉࣛࣥࢺࣝᩘ Prt ࡣࢹࣇ࢛ࣝࢺ್ࡢ 1.0 ࡜ࡋ㸪ቨ㠃࡛ࡣ P 㛵ᩘ࡟ Prt = 0.85 ࢆ୚࠼ࡓ㸬ᅗ 1 ▴ᙧᐜჾෆ⮬↛ᑐὶࡢᐃᛶⓗ࡟ࡣ ᗘศᕸ࠾ࡼࡧ㏿ᗘศᕸࡢண ࡀྍ⬟࡛࠶ࡿ㸬ᐃ㔞ⓗ࡞ண ⢭ᗘ࡟ࡘ࠸࡚ࡣ㸪≀ᛶ್ࡸ஘ὶࣔࢹࣝࡢᩚྜᛶ㸪࡞ࡽࡧ࡟㸪஘ὶࣔࢹ࡛ࣝ
ࡢᾋຊຠᯝ࡞࡝ࡢ᳨ウ࡟ࡼࡗ࡚㸪ࡉࡽ࡟ྥୖࡉࡏࡿᚲせࡀ࠶ࡿ㸬࡞࠾㸪OpenFOAM ࡟ࡣ㸪ᾋຊຠᯝࢆຍ࿡ࡋࡓ k-Hࣔࢹࣝ[12]ࡀᐇ⿦ࡉࢀ࡚࠸ࡿ㸬ᅗ 2 ▴ᙧᐜჾෆ⮬↛ᑐὶࡢ㖄┤᪉ྥ㏿ᗘศᕸᗘศᕸప ቨ࠿ࡽ㧗 ቨ࡬ྥ࠿࠺㊥㞳 x ࢆࢳࣕࢿࣝ
ᖜ W ࡛㝖ࡋ࡚↓ḟඖ໬ࡋࡓ ᗘศᕸࢆᅗ 1 ࡟♧ࡍ㸬ྠᵝ࡟㧗ࡉ᪉ྥ㏿ᗘࡢศᕸࢆᅗ 2 ࡟♧ࡍ㸬࡝ࡕࡽࡶ㸪㧗ࡉ᪉ྥ㊥㞳 y ࢆᐜჾ㧗ࡉ H ࡛↓ḟඖ
໬ࡋࡓ 3 ࡘࡢ↓ḟඖ㧗ࡉ࡛ࡢศᕸࢆᐇ㦂⤖ᯝ࡜࡜ࡶ࡟ࣉࣟࢵࢺࡋ࡚࠸ࡿ㸬ఏ⇕ 2021 ᖺ 7 ᭶ ༢⣧࡞ᙉไᑐὶ
OpenFOAM ࡟ࡼࡿィ⟬⢭ᗘࡢ᳨ウࢆ┠ⓗ࡜ࡋ࡚㸪┤෇⟶ෆ㒊ࡢ஘ὶ⇕ఏ㐩ࢆィ⟬ࡋࡓ[13]㸬┤ᚄ 3mm㸪㛗ࡉ 100mm ࡢ෇⟶࡟Ỉࢆὶࡋ㸪ࣞ࢖ࣀࣝࢬᩘࢆ 6,200 ࡜ࡋࡓ㸬ὶ㊰ධཱྀ࡛ࡣ୍ᵝ࡞㏿ᗘ࠾ࡼࡧ ᗘศᕸࢆ୚࠼ࡓ㸬 ᗘሙࡢቃ⏺᮲௳࡜ࡋ- 42 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࡚㸪ὶ㊰ቨ㠃୍࡛ᵝ⇕ὶ᮰ 1.0610-5 W/m2 ࢆ୚࠼ࡓ㸬ࡇࡢ෇⟶ෆ㒊࡟㸪୍㎶ࡀ 0.1mm ࡢ❧᪉య࡛࠶ࡿ
ࢭࣝࢆᇶ‽ࢭࣝ࡜ࡋ࡚㓄⨨ࡋࡓ㸬෇⟶ࡢᙧ≧࡟ࣇ࢕ࢵࢺࡋࡓࢭࣝࢆ㸪OpenFOAM ࡜ే⏝ࡍࡿࡇ࡜ࢆ
┠ⓗ࡜ࡋ࡚㛤Ⓨࡉࢀ࡚࠸ࡿ࣓ࢵࢩࣗ⏕ᡂࢯࣇࢺ
cfMesh ࡟ࡼࡗ࡚⏕ᡂࡋࡓ㸬⟶㊰㏆ഐ࡟ࡣቃ⏺ᒙࣞ࢖࣮ࣖࢆ㓄⨨ࡋࡓ㸬ࡇࢀ࡟ࡼࡗ࡚㸪ቨ㠃㞄᥋ࢭࣝ୰ᚰ࡜ቨ㠃࡜ࡢ↓ḟඖ㊥㞳 y+ ࡣ 1 ௨ୗ࡜࡞ࡿ㸬ࢭࣝ⥲ᩘࡣ㸪1,312,448 ࡛࠶ࡿ㸬౑⏝ࡋࡓ OpenFOAM ࡢࣂ࣮ࢪࣙࣥࡣ 2.4 ࡛࠶ࡾ㸪࣮ࣘࢨ࡟ࡼࡾ㛤Ⓨࡉࢀࡓపࣞ࢖ࣀࣝࢬᩘᆺ k-Z
SST ࣔࢹࣝ[14]ࢆ౑⏝ࡋࡓ㸬ࡇࡢ஘ὶࣔࢹࣝࢆ౑
⏝ࡍࡿࡇ࡜࡛㸪ᅽຊᦆኻࡢ⌮ㄽ್࡜ࡢᕪࡣ⣙ 5㸣࡜࡞ࡗࡓ㸬
ᅗ 3 ࡟㸪෇⟶㍈࡟ἢࡗࡓᒁᡤࢾࢭࣝࢺᩘศᕸࢆ
♧ࡍ㸬஘ὶࣉࣛࣥࢺࣝᩘࡣ 0.85 ࡜ࡋࡓ㸬ฟཱྀ௜㏆࡛ࡢࢾࢵࢭࣝࢺᩘࡣ㸪Gnielinski ࡟ࡼࡿᘧ[15]࡛ồࡵࡓ್ 55 ࡟㏆ࡃ㸪ࡑࡢᕪࡣ⣙ 5%࡛࠶ࡿ㸬ࡧ㸪ὶయ㸦ᅛయ࿘ᅖ㸪ࡶࡋࡃࡣ㸪ᅛయෆ㒊࡟Ⓨ⏕ࡋࡓᾋࡁ㒊㸧࡜࠸ࡗࡓ」ᩘ≀㉁ࡀᑐ㇟࡛࠶ࡿࡇ࡜
࠿ࡽ㸪chtMultiRegionFoam ࢯࣝࣂࢆ᥇⏝ࡋࡓ㸬
OpenFOAM 3.0.1 ࢆ౑⏝ࡋࡓ㸬ཌࡉ⣙ 200mm㸪1m ゅࡢࢥࣥࢡ࣮ࣜࢺヨ㦂యࡀᑐ㇟࡛࠶ࡿ㸬ࡇࡢヨ㦂య⾲⿬㠃࡟ࡣ㸪ࣔࣝࢱࣝᒙ
࡜ࢱ࢖ࣝࡀ㓄⨨ࡉࢀ࡚࠸ࡿ㸬≀ᛶ್࡟ࡣ㸪୍⯡ⓗ࡞್[17]ࢆ౑⏝ࡋࡓ㸬ヨ㦂యෆ㒊࡟ࡣ㸪ேⅭⓗ࡞ 4 ⟠ᡤࡢᾋࡁ㸦ࡣࡃ㞳㸧ࢆタࡅࡓ㸬ࡣࡃ㞳ࡢཌࡳࡣ㸪0.1mm ࠿ࡽ 3mm
࡛࠶ࡿ㸬2 ✀㢮ࡢヨ㦂యࢆ⏝ពࡋࡓ㸬1 ࡘࡣ㸪ࢱ࢖ࣝࡢ⿬㠃࡟ࡣࡃ㞳㸦✵Ẽᒙ㸧ࡀᏑᅾࡍࡿࡶࡢ㸪ࡶ
࠺ 1 ࡘࡣ㸪ࣔࣝࢱࣝᒙ࡜ࢥࣥࢡ࣮ࣜࢺ࡜ࡢቃ⏺࡟ࡣࡃ㞳ࡀᏑᅾࡍࡿࡶࡢ࡛࠶ࡿ㸬ࡇࢀ࡟ࡼࡾ㸪ࡣࡃ㞳ࡢⓎ⏕⟠ᡤ࡟ࡼࡿ㐪࠸ࢆホ౯ࡋࡓ㸬ᐇ㦂ࡣᰴᘧ఍♫࢔࢖࣌ࢵࢡ࡟ࡼࡗ࡚ᐇ᪋ࡉࢀࡓ㸬(a) እẼ

ୖ᪼᫬㸦༗๓㸧(b) እẼ

ୗ㝆᫬㸦༗ᚋ㸧ᅗ 3 ෇⟶ቨ㠃࡛ࡢᒁᡤࢾࢭࣝࢺᩘศᕸ
 ᅛయὶయ⇕㐃ᡂᘓ⠏≀እቨ⾲㠃ࡢ ᗘศᕸࢆ㉥እ⥺࣓࡛࢝ࣛィࡋ㸪ᚓࡽࢀࡓ⇕⏬ീ࠿ࡽእቨෆ㒊࡟⏕ࡌࡓࠕࡣࡃ㞳㸦ᾋࡁ㸧
ࠖࢆ᳨ฟࡍࡿᢏ⾡ࡀ࠶ࡿ㸬ࡇࡢᢏ⾡ࡢಙ㢗ᛶྥୖࢆ┠ᣦࡋ㸪ヨ㦂య࡟ࡼࡿᐇ㦂࡜
OpenFOAM ࡟ࡼࡿࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ᪋[16]ࡋࡓ㸬ࡇࡢၥ㢟࡛ࡣ㸪᫬ࠎ้ࠎ࡜ኚ໬ࡍࡿ᪥ᑕ࡟ࡼࡾ
ຍ⇕ࡉࢀࡿᘓ⠏≀ቨ㠃 ᗘࢆゎᯒࡍࡿᚲせࡀ࠶ࡿࡇ࡜㸪ᅛయ㸦እቨ⾲㠃ࡢࢱ࢖ࣝ㸪୺ᮦ࡛࠶ࡿࢥࣥ
ࢡ࣮ࣜࢺ㸪୧⪅ࢆ⤖ྜࡍࡿࡓࡵࡢࣔࣝࢱࣝ㸧㸪࠾ࡼఏ⇕ 2021 ᖺ 7 ᭶

ᅗ 4 ෆ㒊Ḟᦆ㸦ࡣࡃ㞳㸧ࢆక࠺ᘓᒇእቨ㠃࡛ࡢ ᗘศᕸ- 43 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEィ⟬࣓ࢵࢩࣗࡢ⏕ᡂ࡟ࡣ OpenFOAM ௜ᒓࡢ࣓ࢵࢩࣗ⏕ᡂ࣮ࣘࢸ࢕ࣜࢸ࢕ blockMesh ࢆ౑⏝ࡋࡓ㸬
OpenFOAM ࡢ」ᩘࡢ࣮ࣘࢸ࢕ࣜࢸ࢕ࢆ⏝࠸࡚ 1 ࡘࡢヨ㦂యࢆ 10 ࡢ㡿ᇦ࡟ศࡅ㸪ࡑࢀࡒࢀࡢ≀ᛶࢆ୚࠼ࡓ㸬ᐃࡋࡓ᪥ᑕ㔞࡟ᛂࡌࡓ⇕㔞ࢆࢱ࢖ࣝ⾲㠃࡬ࡢᗘቃ⏺᮲௳࡜ࡋ࡚୚࠼ࡓ㸬ࡓࡔࡋ㸪࿘ᅖ✵Ẽ࡬୍ᐃࡢ⇕ࡀ㏨ࡆࡿ࡜ࡋ࡚㸪ࡑࡢ⇕㔞ࢆᕪࡋᘬ࠸ࡓ㸬ᐇ㦂࠾ࡼࡧ OpenFOAM ࡟ࡼࡿࢩ࣑࣮ࣗࣞࢩࣙ
࡛ࣥᚓࡽࢀࡓヨ㦂య⾲㠃 ᗘࢆᅗ 4 ࡟♧ࡍ㸬
ᅗ 4(a)
ࡣ᪩ᮅ࠿ࡽ᫨࡟࠿ࡅ࡚ࡢእẼ ᗘୖ᪼᫬ࡢ⤖ᯝ㸪
ᅗ 4(b)ࡣ᫨࠿ࡽኤ้࡟࠿ࡅ࡚ࡢ ᗘୗ㝆᫬ࡢ⤖ᯝ࡛࠶ࡿ㸬ᐇ㦂࡛ࡣ㉥እ⥺࣓࡛࢝ࣛ⾲㠃 ᗘࢆ ᐃࡋࡓ㸬⾲㠃࡟౑⏝ࡍࡿᮦᩱ࡟ࡼࡗ࡚࿘ᅖ ᗘࡢᙳ㡪ࢆཷࡅࡿࡀ㸪ෆ㒊ࡢࡣࡃ㞳㡿ᇦ࡟ᛂࡌࡓᙧ≧ࡀ⇕⏬ീ࡛ࡶほᐹ࡛ࡁࡿ㸬ࡣࡃ㞳㒊ࡢ఩⨨㸦⾲㠃࠿ࡽࡢ῝ࡉ㸧࡜኱ࡁࡉࢆኚ໬ࡉࡏ࡚࠾ࡾ㸪ࡑࡢᙳ㡪ࡀぢ࡚ྲྀࢀࡿ㸬ࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝ࡛ࡶ㸪ᐃᛶⓗ࡟୍⮴ࡍࡿ⤖ᯝࢆᚓࡓ㸬ᒇእ࡛ࡢ㉥እ⥺࣓࢝ࣛ࡟ࡼࡿ⾲㠃 ᗘほ ࡀ୺࡜࡞ࡿࡓࡵ㸪 ᐃ ᗘ࡟ྵࡲࢀࡿ୙☜࠿ࡉࡣ኱ࡁࡃ㸪ᐃ㔞ⓗ࡞㆟ㄽࡣ㞴ࡋ࠸㸬OpenFOAM ࢆ฼⏝ࡋࡓࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼ
ࡗ࡚㸪እ஘ࢆ㝖࠸ࡓ ᗘኚ໬ࢆண ࡍࡿࡇ࡜࡛㸪ࡣࡃ㞳᳨ฟᢏ⾡ࡢಙ㢗ᛶྥୖ࡟㈉⊩ࡍࡿࡇ࡜ࡀᮇ
ᚅࡉࢀ࡚࠸ࡿ㸬

࡝ࢆ㏣ຍࡍࡿࡇ࡜ࡀ࡛ࡁࡿ㸬จᅛ࠾ࡼࡧ⼥ゎࣉࣟࢭࢫࢆࣔࢹࣝ໬ࡍࡿ solidificationMeltingSource ࡜࠸࠺ᶵ⬟ࡢ᳨ド౛[18]ࢆ⤂௓ࡍࡿ㸬ࡇࡢᶵ⬟ࡣ㸪㌴ࡢ࢞ࣛࢫ㠃࡛ࡢ㝖㟖ࢆゎᯒࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚㸪OpenFOAM 2.4.0 ࡛㏣ຍࡉࢀࡓࡶࡢ࡛࠶ࡿ㸬
OpenFOAM 3.0.0 ࡢ buoyantPimpleFoam ࢆ౑⏝ࡋࡓ㸬ࡇࡢࢯࣝࣂ⮬య࡟ࡣจᅛࡸ⼥ゎࡢࣔࢹࣝࡣ
ྵࡲࢀ࡚࠸࡞࠸ࡀ㸪┦ኚ໬࡟క࠺₯⇕ࡢຠᯝࢆ⏕ᡂ㡯࡜ࡋ࡚ྵࡵࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿ㸬ὶయࡀจᅛ
ࡋ࡚ὶࢀࡀ࡞ࡃ࡞ࡿࡇ࡜ࡣ momentum porosity ἲ࡟ࡼࡗ࡚ᐇ⌧ࡉࢀ࡚࠸ࡿ㸬ィ⟬㡿ᇦࡣᅗ 5 ࡟♧ࡍ 2 ḟඖ㡿ᇦ࡛࠶ࡿ㸬ึᮇ≧ែ࡛ࡣ඲㡿ᇦࡀị࡛࠶ࡾ㸪ᕥ➃ࢆ୍ᐃ ᗘ࡛ຍ⇕ࡍࡿࡇ࡜࡛⼥ゎ㠃ࡀ㐍⾜ࡍࡿ 1 ḟඖ㠀ᐃᖖၥ㢟࡛࠶ࡿ㸬ࡇࡢィ⟬࡛ࡣ㔜ຊຍ㏿ᗘࢆ 0 ࡜ࡋ࡚ᑐὶ
ࡢᙳ㡪ࢆ࡞ࡃࡋ㸪ィ⟬⤖ᯝࢆ⌮ㄽゎ࡜ẚ㍑ࡋࡓ㸬ᅗ 6 ࡟㸪Ỉ࡜ịࡢ⏺㠃఩⨨ࡢ᥎⛣ࢆ♧ࡍ㸬ᶓ㍈ࡀ⤒㐣᫬㛫㸪⦪㍈ࡣຍ⇕㠃࠿ࡽ⼥ゎ㠃ࡲ࡛ࡢ㊥㞳ࢆ♧ࡍ㸬⡆᫆ⓗ࡞ᶵ⬟㏣ຍ࡛ࡣ࠶ࡿࡀ㸪
OpenFOAM ࡟ࡼࡿࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝࡣᐃᛶⓗ࡟ࡣ⌮ㄽゎ࡜୍⮴ࡍࡿ㸬ࡋ࠿ࡋ㸪solidificationMeltingSource ᶵ⬟࡛ࡣ㸪㡿ᇦ඲ᇦ࡛ࡢィ⟬࡟ࡣὶయ࡟୚࠼ࡓ≀ᛶ್ࡀ౑ࢃࢀ
ࡿࡓࡵ㸪ᑐ㇟࡜ࡍࡿၥ㢟࡟ࡼࡗ࡚ࡣᐇ㝿࡜ࡣ㞳ࢀࡓ⤖ᯝ࡜࡞ࡿࡇ࡜ࡀ࠶ࡿⅬ࡟ὀពࡀᚲせ࡛࠶ࡿ㸬จᅛ࣭⼥ゎၥ㢟ࢆṇࡋࡃゎࡃࡓࡵ࡟ࡣ㸪ᶆ‽ᶵ⬟ࡔࡅ࡛ࡣ㞴ࡋࡃ㸪ᮏ≉㞟ྕ࡛ᒣᮏẶࡀ⤂௓ࡋ࡚࠸ࡿࡼ࠺࡞࢝ࢫࢱ࣒ࢯࣝࣂࢆ⏝࠸ࡿᚲせࡀ࠶ࡿ㸬ᅗ 5 ᅛᾮ┦ኚ໬᳨ド౛㢟ᴫせᅗ 6 ⼥ゎ᫬ࡢỈ㸭ị⏺㠃఩⨨ࡢᒚṔ ᅛᾮ┦ኚ໬
OpenFOAM ࡟ࡣࢯࣝࣂ࡟ࡣྵࡲࢀ࡞࠸ᶵ⬟ࡸ≀⌮ࣔࢹࣝࢆᐇ⾜᫬࡟㏣ຍࡍࡿ fvOptions ࡜࠸࠺௙⤌ࡳࡀᏑᅾࡋ㸪ࢯࣝࣂ࡛ゎࡃᇶ♏ᘧ࡟⏕ᡂ㡯࡞ఏ⇕ 2021 ᖺ 7 ᭶㸲㸬࠾ࢃࡾ࡟
ᮏ✏࡛ࡣ㸪㏆ᖺከࡃࡢ㛵ᚰࡀᐤࡏࡽࢀ࡚࠸ࡿ࢜

- 44 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࣮ࣉࣥࢯ࣮ࢫ CFD ࢯࣇࢺ࢙࢘࢔ OpenFOAM ࡢఏ⇕㛵㐃ၥ㢟࡬ࡢ㐺⏝࡟ࡘ࠸࡚⪃࠼ࡓ㸬OpenFOAM
ࡣ㠀ᖖ࡟ከᶵ⬟࡛ࡣ࠶ࡿࡀ㸪ఏ⇕࡟ࡘ࠸࡚ࡣ㸪୙༑ศ࡞ᶵ⬟ࡶከ࠸㸬ࡓࡔࡋ㸪࣮࢜ࣉࣥࢯ࣮ࢫ࡛࠶
ࡿࡇ࡜࠿ࡽ㸪࣮ࣘࢨࡀᶵ⬟ࢆ㏣ຍࡍࡿࡇ࡜࡛㸪ᵝࠎ࡞ၥ㢟ࢆゎỴࡍࡿࢶ࣮ࣝ࡜ࡍࡿࡇ࡜ࡀᮇᚅ࡛ࡁࡿ㸬
OpenFOAM ࡢ࢝ࢫࢱ࣐࢖ࢬ࡟ࡣ㸪័ࢀ࡜⤒㦂ࡀᚲせ࡛࠶ࡿ㸬ࡋ࠿ࡋ㸪ከࡃࡢ᝟ሗࡀබ㛤࣭ඹ᭷ࡉࢀ࡚࠾ࡾ㸪㛵㐃᭩⡠[5]ࡸㅮ⩦఍࣭ຮᙉ఍ࡶቑ࠼࡚
࠸ࡿ㸬ࡇࢀࡽࢆά⏝ࡍࡿࡇ࡜࡛㸪Ꮫ㒊⏕ࡸ኱Ꮫ㝔⏕ࡀᨵ㐀ࡋ࡚࠸ࡿ஦౛ࡶከ࠸㸬◊✲⪅࣭ᢏ⾡⪅ࡀឤᚰࡢ࠶ࡿ≀⌮ࣔࢹࣝࢆ㛤Ⓨ࣭ᐇ⿦ࡍࡿࡔࡅ࡛㸪኱つᶍ࡞୪ิィ⟬ࢆᐇ⾜࡛ࡁࡿࡼ࠺࡟࡞ࡿࡇ࡜ࡣ㸪㨩ຊⓗ࡛࠶ࡿ㸬ᵝࠎ࡞ఏ⇕◊✲⪅ࡀά⏝ࡋ㸪ࡑࡢᡂᯝ࡜࡜ࡶ࡟㸪ࢯ࣮ࢫࢥ࣮ࢻࢆබ㛤ࡍࡿࡇ࡜࡛㸪ఏ⇕◊✲ࡀࡼࡾ୍ᒙ῝໬ࡍࡿࡇ࡜ࡀᮇᚅ࡛ࡁࡿ㸬

Repository”, https://github.com/OpenFOAM, (ཧ↷ 2021-05-10).
[2] OpenCFD
Ltd.,“Development/openfoam
repository”,
https://develop.openfoam.com/Development/open[13] ᗈ℩Ⰻᖹ ௚ 2 ྡ㸪OpenFOAM ࢆ฼⏝ࡋࡓ㟁Ꮚᶵჾᾮ෭ࢩࢫࢸ࣒ࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ㸪➨53 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ㅮ₇ㄽᩥ㞟(2016)㸪
C211.
[14] Bachant, P., “petebachant/kOmegaSSTLowRe”,
https://github.com/petebachant/kOmegaSSTLowR

foam, (ཧ↷ 2021-05-10).
[3] ᮾி኱Ꮫ⏕⏘ᢏ⾡◊✲ᡤ㸪“࣐ࣝࢳࣇ࢕ࢪࢵࢡ
ࢫὶయࢩ࣑࣮ࣗࣞࢩ࣭ࣙࣥࢩࢫࢸ࣒”㸪㠉᪂ⓗࢩ࣑࣮ࣗࣞࢩࣙࣥࢯࣇࢺ࢙࢘࢔ࡢ◊✲㛤Ⓨ,
http://www.ciss.iis.u-tokyo.ac.jp/rss21/theme/multi/fluid/fluid_softwareinfo.html,e, (ཧ↷ 2016-03-11).
[15] ᪥ᮏᶵᲔᏛ఍(⦅)㸪ఏ⇕ᕤᏛ㈨ᩱ ᨵゞ➨ 5∧㸪୸ၿ (2009) p.45.
[16] ୰ᕝៅ஧ ௚ 3 ྡ㸪㉥እ⥺⇕⏬ീࢆ฼⏝ࡋࡓᘓ⠏≀እቨࡣࡃ㞳デ᩿ヨ㦂ࡢ OpenFOAM ࡟ࡼࡿࢩ࣑࣮ࣗࣞࢩࣙࣥ㸪࣮࢜ࣉࣥ CAE ࢩ࣏ࣥࢪ࢘
࣒ 2016 (2016)㸪A21.
[17] ᘓ⠏⎔ቃ࣭┬࢚ࢿࣝࢠ࣮ᶵᵓ㸪ᘓ⠏≀⥲ྜ࢚ࢿࣝࢠ࣮ࢩ࣑࣮ࣗࣞࢩࣙࣥࢶ࣮ࣝ BEST ࣉࣟࢢ ࣛ ࣒ቨ య ᮦ ᩱ ࡢ ⇕ ᛶ ⬟ ್ 㸪
http://www.ibec.or.jp/best/program/db/, ( ཧ ↷2021-05-10).

(ཧ↷ 2021-05-10).
[4] ࣮࢜ࣉࣥ CAE Ꮫ఍⦅㸪OpenFOAM ࡟ࡼࡿ⇕⛣ື࡜ὶࢀࡢᩘ್ゎᯒ(➨ 2 ∧)㸪᳃໭ฟ∧(2021).
[5] ᰴᘧ఍♫ࢸࣛࣂ࢖ࢺ㸪OpenFOAM ࣛ࢖ࣈࣛࣜ
ࣜࣇ࢓ࣞࣥࢫ㸪᳃໭ฟ∧ (2020).
[6] 㔝ᮧᝋ἞㸪࣮࢜ࣉࣥ CAE ࡢࡓࡵࡢ DEXCS for
OpenFOAM ࣁࣥࢻࣈࢵࢡ㸪୸ၿฟ∧ (2021).
[7] OpenCFD, “User Guide A.1 Standard Solvers”,
OpenFOAM,
https://www.openfoam.com/documentation/user-gఏ⇕ 2021 ᖺ 7 ᭶

1r4, (ཧ↷ 2021-05-10).
[10] Betts, P.L. and Bokhari, I.H., “Experiments on
Turbulent Natural Convection in an Enclosed Tall
Cavity”, Int. J. Heat and Fluid Flow, Vol.
21(2000), 675-683.
[11] Betts, P.L. and Bokhari, I.H., “ERCOFTAC
case079 Turbulent Natural Convection in an
Enclosed Tall Cavity Experiments”, ERCOFTAC,
http://cfd.mace.manchester.ac.uk/ercoftac/doku.php?id=cases:case079, (ཧ↷ 2021-05-10).
[12] Henkes, R.A.W.M. et al., “Natural Convection
Flow in a Square Cavity Calculated with
Low-Reynolds-Number Turbulence Models”, Int.
J. Heat Mass Transfer, 34 (1991), 1543-1557.

ཧ⪃ᩥ⊩[1] OpenFOAM Foundation, “Official OpenFOAM

uide/a-reference/a.1-standard-solvers,

2021-05-10).
[8] Villiers, E.d. et al., “A New Region-Coupled
Framework for Conjugate Heat Transfer”, 11th
OpenFOAM WorkShop (2016), P075.
[9] OpenCFD, “User Guide Table A.4: Libraries ofThermophysicalModels”,
OpenFOAM,
https://www.openfoam.com/documentation/user-guide/a-reference/a.3-standard-libraries#x34-13713[18] す⏣ᶞ⏕㸪୰ᕝៅ஧㸪OpenFOAM ࡟ࡼࡿᅛᾮ
┦ኚ໬ࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ᳨ド㸪࣮࢜ࣉࣥ
CAE ࢩ࣏ࣥࢪ࣒࢘ 2016 (2016)㸪B32.

( ཧ ↷- 45 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࣮࢜ࣉࣥ CAE ࡢ㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡢά⏝How to Use Elmer, an Open CAE Coupled Analysis Toolᰘ⏣ Ⰻ୍㸦ᒱ㜧ᕤᴗ㧗➼ᑓ㛛Ꮫᰯ㸧
Ryoichi SHIBATA (National Institute of Technology, Gifu College)e-mail: ryos@gifu-nct.ac.jp㸯㸬ࡣࡌࡵ࡟
〇㐀ᴗࡢ DX ᑐᛂࢆ㏣࠸㢼࡜ࡋ࡚㸪CAE ࡢά⏝ࡀᖜᗈ࠸ᴗ✀ࡸᵝࠎ࡞つᶍࡢ௻ᴗ࡟࠾࠸࡚㸪ྲྀࡾ⤌ࡲࢀ࡚࠸ࡲࡍ㸬ࡇࡢ୰࡛ࢯ࣮ࢫࢥ࣮ࢻࡀබ㛤ࡉࢀࡓ࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔࡟ࡼࡿ CAE ࢩࢫࢸ࣒ࡢά⏝ࡶ㸪ࣛ࢖ࢭࣥࢫࣇ࣮ࣜ࡟ࡼࡿ↓ൾ฼⏝ࡢ࣓ࣜࢵࢺࡔࡅ࡛࡞ࡃ㸪ࢯ࣮ࢫࢥ࣮ࢻࢆࣉࣛࢵ
ࢺ࣮࣒࣍࡜ࡋ࡚㸪◊✲㛤Ⓨࢆ┠ⓗ࡜ࡍࡿሙ㠃࡛౑ࢃࢀ࡚࠸ࡲࡍ㸬ࡲࡓ CAE ࡟ᑐࡍࡿࡶࡢ࡙ࡃࡾࡢ⌧ሙ࡟࠾࠸࡚㸪⌧ᐇࡢ」㞧࡞⌧㇟ࢆ෌⌧ࡋศᯒࡍࡿࡓࡵ࡟ࡣ㸪Ẽయ࣭ᾮయ࣭ᅛయࢆᑐ㇟࡜ࡋ࡚㸪ᵝࠎ࡞≀⌮⌧㇟ࢆ⤌ࡳྜࢃࡏࡓゎᯒࡀᚲせ࡟࡞ࡗ࡚࠾ࡾ㸪ᵝࠎ࡞⏘ᴗศ㔝࡟࠾࠸࡚㐃ᡂゎᯒ࡬ࡢ㛵ᚰࡀ㧗ࡲࡗ࡚࠸ࡲ
ࡍ㸬࣮࢜ࣉࣥࢯ࣮ࢫࡣ㸪ࢯ࣮ࢫࢥ࣮ࢻࡀබ㛤ࡉࢀ࡚࠸ࡿࡇ࡜ࡼࡾ㸪ࣉࣟࢢ࣒ࣛෆ㒊ࡢࢹ࣮ࢱᵓ㐀ࡸධฟຊࣇ࢓࢖ࣝࡢࢹ࣮ࢱᙧᘧࡶ☜ㄆ࡛ࡁࡿ≉ᚩࢆࡶࡗ࡚࠸ࡿࡓࡵ㸪␗࡞ࡿࣉࣟࢢ࣒ࣛࢆ㐃ᦠࡉࡏࡿ㐃ᡂゎᯒࢆᐇ⌧ࡍࡿࡓࡵ࡟ࡣ㸪㐺ࡋࡓࢩࢫࢸ࣒࡜࡞
ࡗ࡚࠸ࡲࡍ㸬ࡓࡔࡋࡇࡢሙྜ࡟ࡣ㸪฼⏝⪅ࡀࢩࢫࢸ࣒ࢆ⤫ྜࡍࡿࡓࡵࡢ㧗ᗘ࡞◊✲㛤Ⓨࡀ๓ᥦ࡜࡞
ࡗ࡚ࡁࡲࡍ㸬
⌧᫬Ⅼ࡛ࡣ㸪ᵓ㐀ゎᯒࡸὶయゎᯒ࡞࡝⊂❧ࡋ࡚
㛤Ⓨࡉࢀࡿ࣮࢜ࣉࣥࢯ࣮ࢫࡢࢶ࣮ࣝ࡟ᑐࡋ࡚㸪ඹ
㏻ᇶ┙࡜࡞ࡿ㐃ᡂゎᯒࢶ࣮࡛ࣝබ㛤ࡉࢀࡓࡶࡢࡣ㸪ୡ⏺ࢆぢ࡚ࡶᑡ࡞࠸ࡢࡀ⌧≧࡛ࡍ㸬ࡲࡓබ㛤ࡉࢀࡓࡶࡢ࡛ࡶ㠀ᖖ࡟㧗ᗘ࡞ࢩࢫࢸ࣒ᵓ⠏ᢏ⾡ࡀᚲせ࡜࡞ࡿࡓࡵ㸪ࡶࡢ࡙ࡃࡾࡢ⌧ሙ࡛ᐜ᫆࡟ά⏝࡛ࡁࡿ≧ἣ࡛ࡣ࠶ࡾࡲࡏࢇ㸬ࡑࡢࡓࡵ㸪ࡶࡢ࡙ࡃࡾ࡟
࠾ࡅࡿ㐃ᡂゎᯒࡢᐇ⌧࡟࠾࠸࡚ࡣ㸪࣮࢜ࣝ࢖ࣥ࣡
ࣥᆺࡢࢶ࣮ࣝࡀᮇᚅࡉࢀ࡚࠸ࡲࡍ㸬ࡑࡇ࡛ᮏ✏࡛ࡣ㸪࣮࢜ࣉࣥࢯ࣮ࢫ㐃ᡂゎᯒࢶ࣮ࣝ࡜ࡋ࡚㸪࣮࢜ࣝ࢖ࣥ࣡ࣥᆺ࡜ࡋ࡚࡯ࡰ၏୍ࡢᏑ
ᅾ࡛࠶ࡿࠕElmerࠖ࡟ὀ┠ࡋ㸪ࡇࡢᴫせ࡜ά⏝ᢏ⾡ࢆ⤂௓ࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚࠸ࡲࡍ㸬ఏ⇕ 2021 ᖺ 7 ᭶㸰㸬㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡟ࡘ࠸࡚ Elmer ࡢᴫせࡇࡢ㐃ᡂゎᯒࢶ࣮ࣝ Elmer㸦࢚࣐࣮ࣝ㸧ࡣ㸪බᘧࢧ࢖ࢺ㸦https://www.csc.fi/fi/web/elmer㸧࡛㓄ᕸࡉࢀ࡚࠸ࡿ㸪࣮࢜ࣉࣥࢯ࣮ࢫࡢ CAE ࢶ࣮࡛ࣝࡍ㸬
ᮏ㉁ⓗ࡞ᶵ⬟࡜ࡋ࡚ࡣ㸪ྛ✀≀⌮ࣔࢹࣝࡢ೫ᚤศ
᪉⛬ᘧࢆゎࡃࡓࡵࡢ㸪᭷㝈せ⣲ἲ࡟ࡼࡿỗ⏝ࢯࣇࢺ࢚࢘࢔ࣃࢵࢣ࣮ࢪ࡜ゝ࠼ࡲࡍ㸬ࡘࡲࡾ㸪೫ᚤศ᪉⛬ᘧ࡛グ㏙ࡉࢀࡓ⌮ᏛࡸᕤᏛ࡛⏝࠸ࡽࢀࡿᵝࠎ࡞⌧㇟࡟ᑐࡋ࡚㸪ὶయຊᏛ㸪ᵓ㐀ຊᏛ㸪㟁☢ẼᏛ㸪⇕ఏ㐩㸪㡢㡪࡞࡝ࡢ≀⌮ࣔࢹࣝࢆ㸪᭷㝈せ⣲ἲ࡟ࡼࡾ⤫୍ⓗ࡟ྲྀࡾᢅ࠺ࡇ࡜ࡀ
ྍ⬟࡛ࡍ㸬ࡉࡽ࡟ࡇࢀࡽࢆ㐃ᡂࡋ࡚ฎ⌮ࡍࡿࡇ࡜ࡀ㸪㛤Ⓨࡢ୺┠ⓗ࡜࡞ࡗ࡚࠾ࡾ㸪ࡇࢀࡼࡾ࣐ࣝࢳࣇ࢕ࢪࢵ
ࢡࢫ࡟ᑐᛂࡋࡓከᶵ⬟࡛⤫ྜᆺࡢ㐃ᡂゎᯒࢶ࣮ࣝ࡜ࡋ࡚㸪ᵝࠎ࡞ᩘ್ゎᯒࡢᛂ⏝࡟࠾࠸࡚ὀ┠ࡉࢀ࡚࠸ࡲࡍ㸬ࡇࡢ Elmer ࡣ㸪1995 ᖺ࠿ࡽࣇ࢕ࣥࣛࣥࢻࡢᢏ⾡ᇶ㔠㸸Tekes ࡟ᇶ࡙࠸ࡓᅜᐙⓗ࡞ CFD ࣉࣟࢪ࢙ࢡࢺ࡟ࡼࡗ࡚㛤Ⓨࡀጞࡲࡾ㸪᪤࡟ 25 ᖺ௨ୖ⥅⥆ࡋ࡚࠸ࡿᜥࡢ㛗࠸㐃ᡂゎᯒࢶ࣮ࣝ࡟࡞ࡾࡲࡍ㸬ᙜึࡢࣉࣟࢪ࢙ࢡࢺࡀ⤊஢ࡋࡓᚋ㸪㛤Ⓨࡣ CSC
㸦ࣇ࢕ࣥࣛࣥࢻ⛉Ꮫ IT ࢭࣥࢱ࣮㸧࡟ࡼࡗ࡚ከ㠃ⓗ࡞◊✲㛤Ⓨࡀ⥅⥆ࡉࢀ࡚ࡁࡲࡋࡓ㸬2005 ᖺ࡟࡞ࡗ࡚ GPL ࡢࣛ࢖ࣥࢭࣥࢫ࡛බ㛤ࡉࢀ㸪࣮࢜ࣉࣥ CAE࡜ࡋ࡚࣮ࣘࢨ࣮ᩘࡀቑຍࡋ࡚࠸ࡲࡍ㸬 Elmer ࡢᶵ⬟Elmer ࡣ㸪ᵝࠎ࡞≀⌮⌧㇟ࡢᩘ್ゎᯒࡢࡓࡵ࡟㸪೫ᚤศ᪉⛬ᘧ࡛グ㏙ࡉࢀࡓᖜᗈ࠸≀⌮ࣔࢹࣝ࡜ゎᯒࢯࣝࣂ࣮ࡀᥦ౪ࡉࢀࡲࡍ㸬௨ୗ࡟㔜せ࡞ࡶࡢࢆ
せ⣙ࡋࡲࡍ㸬
࣭ఏ⇕㸸ఏᑟ㸪ᑐὶ㸪ᨺᑕ㸪ཬࡧ┦ኚ໬ࡢࣔࢹࣝ
࣭ὶయࡢὶࢀ㸸Naiver-Stokes ᪉⛬ᘧ㸪k-İ ࣔࢹ࣭ࣝ⢏Ꮚࡢ㍺㏦㸸୍⯡ⓗ࡞ᑐὶᣑᩓ᪉⛬ᘧ࣭ᅛయᵓ㐀≀㸸ᙎᛶ࠾ࡼࡧᙎረᛶࡢᵓ㐀ゎᯒ

- 46 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࣭㡢㡪≉ᛶ㸸Helmholtz ᪉⛬ᘧ㸪⌮᝿ẼయࡢἼື࣭㟁☢ẼᏛ㸸㟼㟁Ꮫ㸪㟼☢ẼᏛ㸪☢Ẽㄏᑟ࣭࣐࢖ࢡࣟὶయຊᏛ㸸Poisson-Boltzmann ᪉⛬ᘧ࣭ࣞ࣋ࣝࢭࢵࢺἲ㸸࢜࢖࣮ࣛ⮬⏤ቃ⏺ၥ㢟࣭㔞ᏊຊᏛ㸸ᐦᗘỗ㛵ᩘ⌮ㄽ㸦Kohn-Sham㸧 Elmer ࡢ㛗ᡤ࡜▷ᡤࡇࡢࡼ࠺࡟ከᙬ࡞ᶵ⬟ࢆᣢࡘ Elmer ࡛ࡍࡀ㸪ࡇࢀ࠿ࡽ Elmer ࢆά⏝ࡋࡼ࠺࡜ࡍࡿ฼⏝⪅ࡢࡓࡵ࡟㸪
㛤Ⓨ⪅⮬ࡽࡀグࡋࡓࠕ㛗ᡤ㸸㸩㡯┠ࠖ࡜ࠕ▷ᡤ㸸㸫㡯┠ࠖࡣ௨ୗࡢ࡜࠾ࡾ࡛ࡍ㸬࡞࠾ࡇࢀࡽࡣ୺ほⓗ࡞ホ౯࡛ࡍࡢ࡛㸪≧ἣࡸ┠ⓗ࡟ࡼࡗ࡚ࡣ୙᏶඲
࡞ุ᩿࠿ࡶࡋࢀࡲࡏࢇࡀ㸪࣮࢜ࣉࣥ CAE ࡟ඹ㏻ࡍࡿෆᐜ࡜ࡶゝ࠼ࡲࡍ㸬࠙㛗ᡤ㸸㸩㡯┠ࠚ࣭Elmer ࡣ࣮࢜ࣉࣥࢯ࣮ࢫ࡞ࡢ࡛㸪ࡑࢀࡒࢀࡢ≀⌮ࣔࢹࣝࡢゎἲࢆ☜ㄆࡋ㸪ࡲࡓᐜ᫆࡟ኚ᭦ࡍࡿࡇ
࡜ࡀྍ⬟࡛ࡍ㸬࣭Elmer ࡣ≀⌮ࣔࢹࣝࡢ᪉⛬ᘧࡢ㐃ᡂࡀᰂ㌾࡟ྍ⬟࡛࠶ࡾ㸪᪂ࡓ࡞≀⌮⌧㇟࡟㛵ࡍࡿኚᩘࢆᑟධࡍ
ࡿࡇ࡜ࡀᐜ࡛᫆ࡍ㸬࣭㐃ᡂゎᯒ࡛ᚲせ࡜࡞ࡿ඲࡚ࡢ≀ᛶ್ࡣ㸪ሙࡢኚᩘࡸࡑࡢ௚ࡢࣃ࣓࣮ࣛࢱ࡜ࡋ࡚⮬⏤࡟タᐃࡍࡿࡇ࡜ࡀྍ⬟࡛ࡍ㸬࣭Elmer ࡛ࡣ㸪ඛ࡟ᣲࡆࡓࡼ࠺࡟᭱᪂ࡢ◊✲ᡂᯝ
ࢆ㋃ࡲ࠼࡚㸪ከᩘࡢຠᯝⓗ࡞ᩘ್ⓗᡭἲࡀ㑅ᢥྍ⬟࡛ࡍ㸬࣭Elmer ࡛ࡣ㸪ὶయゎᯒࡸᵓ㐀ゎᯒࢆࡣࡌࡵ㸪ከࡃࡢ≀⌮ࣔࢹ࡛ࣝᶆ‽ⓗ࡟౑⏝ࡉࢀࡿ᭷㝈せ⣲ࢆ౑⏝ྍ⬟࡛ࡍ㸬࣭Elmer ࡛ࡣ㸪㐃ᡂゎᯒࡢ㧗㏿໬ࡢࡓࡵ࡟≀⌮ࣔࢹࣝࡢᨭ㓄᪉⛬ᘧࡢᵓᡂ࡜཯᚟ゎἲࡣ୪ิ໬ࡀྍ
⬟࡛ࡍ㸬࣭Elmer ࡟ࡣ㸪⡆༢࡞ゎᯒࢆタᐃࡍࡿࡓࡵࡢ㸪࣐࢘ࢫ࡛ຠᯝⓗ࡟᧯సࡍࡿ GUI ࢶ࣮ࣝࡀ࠶ࡾࡲࡍ㸬࣭Elmer ࡢࢯ࣮ࢫࢥ࣮ࢻࡣᐜ᫆࡟ࢥࣥࣃ࢖ࣝྍ⬟࡛࠶ࡾ㸪Windows ࡛ࡣࢥࣥࣃ࢖ࣝ῭ࡳࡢࣂ࢖ࢼࣜ
ࡀ⏝ពࡉࢀ࡚࠸ࡲࡍ㸬࣭Elmer ࡢ࣮ࣘࢨࢥ࣑ࣗࢽࢸ࢕ࡣୡ⏺࡛ᖖ࡟ᡂ㛗ࡋ⥆ࡅ࡚࠾ࡾ㸪ከࡃࡢ⛉Ꮫᢏ⾡ࡢㄽᩥ࡛᪤࡟ά⏝ࡉࢀ࡚࠸ࡲࡍ㸬࠙▷ᡤ㸸㸫㡯┠ࠚ࣭Elmer ࡣࢶ࣮ࣝࡸࢻ࣓࢟ࣗࣥࢺ࡞࡝ࡢᵝࠎ࡞せ⣲࡛ᵓᡂࡉࢀ࡚࠸ࡲࡍࡀ㸪ࡍ࡭࡚ࡀᥞࡗ࡚᭱᪂ࡢ
≧ែ࡟࡞ࡗ࡚࠸ࡲࡏࢇ㸬ఏ⇕ 2021 ᖺ 7 ᭶

- 47 -

࣭」㞧࡞㐃ᡂゎᯒࡢタᐃ࡛ࡣ㸪㧗ᗘ࡞▱㆑ࡀᚲせ࡟࡞ࡾࡲࡍ㸬ᚑࡗ࡚௚ࡢఱࡽ࠿ࡢ FEM ࣃࢵࢣ࣮ࢪࡢ฼⏝⤒㦂ࡀᚲせ࡛ࡍ㸬࣭Elmer ࡟ࡣ㸪」㞧ᙧ≧࡛」ᩘ㡿ᇦࡢゎᯒᑐ㇟࡟ᑐࡋ࡚࣓ࢵࢩࣗࢆ⏕ᡂࡍࡿࢶ࣮ࣝࡀ࠶ࡾࡲࡏࢇ㸬࢖࣏࣮ࣥࢺࡢࡳࡀྍ⬟࡛ࡍ㸬࣭Elmer ࡀᥦ౪ࡍࡿࢯࣝࣂ࣮࡛ࡣ㸪࣐ࣝࢳࣇ࢕ࢪ
ࢵࢡࢫ࡟㛵ࡍࡿၥ㢟࡟࠾࠸࡚㸪୍⯡ⓗ࡛࡞࠸≀⌮⌧㇟࡟ࡣᑐᛂࡋ࡚࠸ࡲࡏࢇ㸬࣭౛࠼ࡤὶయゎᯒ࡛ࡣ㸪≀⌮ࣔࢹࣝࡢᇶᮏᶵ⬟࡟ࡢࡳᑐᛂࡋ㸪஘ὶ࠾ࡼࡧከ┦ὶࡢࣔࢹࣝ໬࡟㛵ࡍࡿᶵ⬟ࡀ࡯࡜ࢇ࡝࠶ࡾࡲࡏࢇ㸬㸱㸬ᇶᮏⓗ࡞ὶయゎᯒࡢᡭ㡰ࡇࡢ౛㢟ࡣ㸪ὶయゎᯒࡢࢳ࣮ࣗࢺࣜ࢔࡛ࣝࡼࡃ
ྲྀࡾୖࡆࡽࢀࡿࠕ࣐࢝ࣝࣥ ิࡢ୙Ᏻᐃᛶࢆぢࡿὶయゎᯒ࡛ࠖ㸪 ࡀ஺஫࡟Ⓨ⏕ࡋ࡚ᨺฟࡉࢀࡿࠕࣇ
࢛࣐ࣥ࢝ࣝࣥ୙Ᏻᐃᛶࠖࢆㄪ࡭ࡲࡍ㸬ᅗ 1 ࡟♧ࡍࡼ࠺࡞㸪2 ḟඖࡢ㛗᪉ᙧ✵㛫㸦0.41×2.2m㸧ࢆᑐ㇟࡟㸪ὶධ㠃ࡢ㏆ࡃ࡟෇ᙧࡢ㞀ᐖ≀ࡀ࠶ࡾ㸪ࡇࡢᚋࢁ࡟ ࡀ஺஫࡟ᨺฟࡉࢀࡲࡍ㸬ᅗ 1 ࣐࢝ࣝࣥ

ิࡢὶయ✵㛫࣓ࢵࢩࣗࡇࡢ౛㢟ࡢࣞ࢖ࣀࣝࢬᩘࢆㄪ࡭ࡲࡍ㸬ࡲࡎὶධ㠃࡛ࡢ㏿ᗘศᕸࡣᨺ≀⥺≧࡛㸪ᖹᆒ㏿ᗘ(㹔)࡜ࡋ
࡚ࡣ✵㛫ࡢ㛗ᡭ᪉ྥ࡛ὶࢀࡿྥࡁࡢ Vx= 1.0 m/s࡛ࡍ㸬ὶయࡢᐦᗘ(ȡ) 1.0 kg/m3㸪⢓ᗘ(ȝ)0.001 kg/(m㺃s)࡜ࡋ࡚࠸ࡲࡍ㸬ゎᯒ✵㛫ࡢᑍἲࢆぢࡿ࡜ὶධ㠃ࡢ㛗ࡉࡀ 0.41 m
࡛㸪┤ᚄ 0.1m ࡢ෇ᙧࡢ㞀ᐖ≀ࡢୖ 0.16m ࡜ୗ
0.15m ࡢ㛫㝸ࡀ✵࠸࡚࠾ࡾ㸪≉ᚩ㛗ࡉࢆ෇ᙧࡢ┤ᚄ 0.1 m ࡜ࡋࡲࡍ㸬ᚑࡗ࡚ࡇࡢ౛㢟ࡢࣞ࢖ࣀࣝࢬ
ᩘ Re ࡣ㸪⣙ 100 ࡜࡞ࡾࡲࡍ㸬Re = ȡ㹔㹊/ȝ = 1.0×1.0×0.1 / 0.001 = 100ࡇࡢ෇ᙧࡢ㞀ᐖ≀ࡢୖୗࡢ㛫㝸ࡀ␗࡞ࡾ㸪㹗㍈᪉ྥࡢ୰ኸ࡟࡞࠸ࡢࡣ㸪࣐࢝ࣝࣥ ࢆⓎ⏕ࡋࡸࡍࡃࡍࡿࡓࡵ࡟㸪㞀ᐖ≀ࡢୖୗ࡛᮲௳ࡀ␗࡞ࡿࡼ࠺
࡟ࡍࡿࡓࡵ࡜ᛮࢃࢀࡲࡍ㸬

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
ࡇࡢྍど໬ࢹ࣮ࢱࢆά⏝ࡍࡿࡓࡵ࡟ᐃ␒࡛࠶ࡿ
ParaView ࢆᑟධࡋࡲࡍ㸬ධᡭ᪉ἲ࡜ࡋ࡚㸪Windows ⏝࢖ࣥࢫࢺ࣮ࣝࣃࢵ
ࢣ࣮ࢪࡣ㸪௨ୗࡢࢧ࢖ࢺ࠿ࡽࢲ࣮࢘ࣥࣟࢻࡋࡲࡍ㸬
http://www.paraview.org/
File:ParaView-5.8.1-Windows-Python3.7-msvc2015-6

 ゎᯒ⎔ቃࡢᵓ⠏㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡣ㸪⤫ྜ⎔ቃ࡜ࡋ࡚ GUIᒙࡀྍ⬟࡞ࢶ࣮ࣝ࡜ࡋ࡚㸪Window / Ubuntu ࡛ࡢࣂ࢖ࢼࣜ࢖ࣥࢫࢺ࣮ࣝࣃࢵࢣ࣮ࢪࡀබ㛤ࡉࢀ࡚࠸ࡲ
ࡍ㸬ࡼࡗ࡚㸪࣮࢜ࣉࣥࢯ࣮ࢫࢶ࣮࡛ࣝࡍࡀ㸪฼⏝⪅ࡀࣅࣝࢻసᴗࢆࡍࡿࡇ࡜࡞ࡃ㸪࢖ࣥࢫࢺ࣮࣮ࣛ
࡛⡆༢࡟ᑟධ࡛ࡁࡲࡍ㸬ࡇࡇ࡛ࡣ฼⏝⪅ࡀከ࠸࡜ᛮࢃࢀࡿ Windows10
㸦64bit㸧ࢆ⏝࠸ࡓᑟධᡭ㡰ࡢᴫせࢆㄝ᫂ࡋࡲࡍࡀ㸪
Ubuntu18.04 ࡛ࡣ apt ࡟ࡼࡿᑟධࡶྍ⬟࡛࠶ࡾ㸪⤫ྜ⎔ቃࡢ GUI ࡣ඲ࡃྠ➼㉳ື࡛᧯స᪉ἲࡶඹ㏻࡛ࡍ㸬Windows ∧ Elmer ࡢ㸪MPI ୪ิฎ⌮ᑐᛂࡢ⤫ྜ⎔ቃࡢ᭱᪂∧࢖ࣥࢫࢺ࣮ࣝࣃࢵࢣ࣮ࢪࡣ㸪௨ୗࡢࢧ࢖ࢺ࠿ࡽࢲ࣮࢘ࣥࣟࢻࡋࡲࡍ㸬https://sourceforge.net/projects/elmerfem
File:ElmerFEM-gui-mpi-Windows-AMD64.exeᑟධᡭ㡰ࡣ㸪ᇶᮏⓗ࡟࢖ࣥࢫࢺ࣮࣮ࣛࡢᣦ♧࡟ᚑࡗ࡚㐍ࡵࡿࡔࡅ࡛ࡍࡀ㸪୪ิฎ⌮࡟࠾࠸࡚
Windows ࡢࢹ࢕ࣞࢡࢺࣜྡ࡛ࡣṇࡋࡃືసࡋ࡞࠸
ሙྜࡀ࠶ࡾ㸪࢖ࣥࢫࢺ࣮ࣝඛࢆ✵ⓑࡸグྕࢆྵࡲ࡞࠸ࠕC:¥OpenCAE¥Elmerࠖࡢࡼ࠺࡟ࡋࡲࡋࡓ㸬࡞࠾࢖ࣥࢫࢺ࣮ࣝᡭ㡰࡛ࡣ㸪Microsoft Visual
C++ Redistributable ࡸ Microsoft MPI ࡢᑟධࢆྠ᫬
࡟⾜࠸ࡲࡍ㸬
㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡣ㸪⤫ྜゎᯒࢶ࣮ࣝ࡜࡞
ࡗ࡚࠸ࡲࡍࡀ㸪ࣉࣜฎ⌮࡟㛵ࡋ࡚ࡣ࣓ࢵࢩࣗసᡂ
ᶵ⬟ࢆᣢࡗ࡚࠸ࡲࡍࡀ㸪」ᩘ㡿ᇦ࡟ᑐࡋ࡚ቃ⏺᮲௳࡞࡝ࢆタᐃࡍࡿ㐃ᡂゎᯒ࡞࡝ࡢ」㞧࡞タᐃࡢሙྜ࡟ࡣ㸪ᑓ⏝ࡢࣉࣜฎ⌮ࢶ࣮ࣝ SALOME ࢆ⏝࠸ࡿࡇ࡜࡟ࡋࡲࡍ㸬ධᡭ᪉ἲ࡜ࡋ࡚㸪Windows ⏝࢖ࣥࢫࢺ࣮ࣝࣃࢵ
ࢣ࣮ࢪࡣ㸪௨ୗࡢࢧ࢖ࢺ࠿ࡽࢲ࣮࢘ࣥࣟࢻࡋࡲࡍ㸬
http://www.salome-platform.org/downloads/currentversion

4bit.exe㸦ᇳ➹᫬᭱᪂∧㸧ᑟධᡭ㡰ࡣ㸪ᇶᮏⓗ࡟࢖ࣥࢫࢺ࣮࣮ࣛࡢᣦ♧࡟ᚑࡗ࡚㐍ࡵࡿࡔࡅ࡛ࡍࡀ㸪ࡇࢀࡲ࡛࡜ྠᵝ࡞⌮⏤࡛ࠕC:¥OpenCAE¥ParaViewࠖࡢࡼ࠺࡟ࡋࡲࡋࡓ㸬 ౛㢟ࡢゎᯒᡭ㡰㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡣ㸪⤫ྜゎᯒࢶ࣮ࣝ࡜ࡋ࡚
GUI ᧯స࡛ᐜ᫆࡟㐃ᡂゎᯒࢆᐇ⌧ࡋࡲࡍ㸬ࢶ࣮ࣝࢆ㉳ືࡋ࡚㸪ゎᯒᙧ≧ࣇ࢓࢖ࣝࢆㄞࡳ㎸ࢇ࡛࣓ࢵࢩࣗࢆసᡂࡋࡓ≧ែࡀ㸪ᅗ 2 ࡢࡼ࠺࡟࡞ࡾࡲࡍ㸬ྑഃ࡟᭷㝈せ⣲ἲࡢ࣓ࢵࢩࣗࡀ⾲♧ࡉࢀ㸪ᇶ‽㛗
ࡉ 0.02m ࡢ㸰ḟඖ୕ゅᙧ 1 ḟせ⣲࡛ࡍ㸬ᕥഃ࡟࢜ࣈࢪ࢙ࢡࢺࢶ࣮ࣜࡀ⾲♧ࡉࢀ㸪ࡇࡇ࡟㐃ᡂゎᯒࡢᐇ⌧࡟ᚲせ࡞௨ୗࡢ᝟ሗࢆタᐃࡋࡲࡍ㸬(1) Menu-Model> Setupゎᯒࡢ඲య࡟㛵ࡍࡿタᐃ࡜ࡋ࡚㸪ࠕධฟຊࡢࣇ࢓࢖
ࣝྡ࣭ゎᯒࡢࢫࢸࢵࣉ࡟㛵ࡍࡿ᫬㛫タᐃ࣭≀⌮ᐃᩘࠖࡢグධࢆ⾜࠸ࡲࡍ㸬ࡇࡢ౛㢟࡛ࡣ㸪࣐࢝ࣝࣥࡢᡂ㛗ࢆぢࡿࡓࡵ࡟㸪᫬㛫้ࡳ 0.04 ⛊࡛ 200 ࢫࢸࢵࣉࡢ㠀ᐃᖖゎᯒ࡜ࡋࡲࡍ㸬(2) Object-Add> Equationࡇࡢ౛㢟࡛ࡣ㸪㠀ᐃᖖὶయゎᯒࡢࡳࢆ⾜࠺ࡢ࡛㸪ࠕNavier-Stokesࠖࡢࡳࢆ㑅ᢥࡋࡲࡍ㸬཰᮰᮲௳ࡢタᐃኚ᭦ࡀྍ⬟࡛ࡍࡀ㸪ᶆ‽タᐃࢆ⏝࠸࡚༑ศ࡞⤖ᯝࡀᚓࡽࢀࡲࡍ㸬(3) Object-Add> Materialゎᯒࣔࢹࣝࡢὶయࡢᮦᩱ≉ᛶࡢタᐃࢆ⾜࠸ࡲࡍ㸬ࡇࡇ࡛ࡣㄽᩥࡢタᐃ࡟ᇶ࡙࠸࡚㸪 ࡢⓎ⏕ࢆྍ⬟࡟ࡍࡿࡼ࠺࡞⌮᝿ⓗ࡞ᮦᩱ≉ᛶࢆタᐃࡋࡲࡍ㸬(4) Object-Add> Boundary condition

File:SALOME-9.5.0.exe㸦ᇳ➹᫬᭱᪂∧㸧ᑟධᡭ㡰ࡣ㸪ᇶᮏⓗ࡟࢖ࣥࢫࢺ࣮࣮ࣛࡢᣦ♧࡟ᚑࡗ࡚㐍ࡵࡿࡔࡅ࡛ࡍࡀ㸪Linux ࣮࣋ࢫࡢࢶ࣮ࣝ
࡞ࡢ࡛࢖ࣥࢫࢺ࣮ࣝඛࢆ✵ⓑࡸグྕࢆྵࡲ࡞࠸ࠕC:¥OpenCAE¥SALOMEࠖࡢࡼ࠺࡟ࡋࡲࡋࡓ㸬ࡉࡽ࡟࣏ࢫࢺฎ⌮࡟㛵ࡋ࡚ࡣ㸪௨๓ࡣ⊂⮬ࡢྍど໬ࢶ࣮ࣝࢆ⏝࠸࡚࠸ࡲࡋࡓࡀ㸪⌧ᅾࡢά⏝᪉ἲ࡛ࡣゎᯒ⤖ᯝ࡟ྍど໬ࢶ࣮ࣝ ParaView ࡢࢹ࣮ࢱࣇ࢛࣮࣐ࢵࢺ࡛࠶ࡿࠕVTU ᙧᘧࠖࢆ฼⏝ࡋࡲࡍ㸬ఏ⇕ 2021 ᖺ 7 ᭶ゎᯒࣔࢹࣝࡢቃ⏺᮲௳ࡢෆᐜࡢタᐃࢆ⾜࠸ࡲࡍ㸬ሙᡤࡢタᐃࡣḟࡢࠕSet boundary properties࡛ࠖ⾜࠸ࡲࡍ㸬ࡇࡢ౛㢟ࡢቃ⏺᮲௳ࡢタᐃ࡟࠾࠸࡚ࡣ㸪௨ୗࡢ 3 ࡘࢆᐃ⩏ࡋࡲࡍ㸬ὶධ㠃 Inlet㸸ᕥ➃ࡢὶධ㠃㸦㏿ᗘศᕸࢆᩘᘧᐃ⩏㸧⁥ࡾ࡞ࡋቨ㠃 Wall㸸Ỉᖹࡸୖୗࡢቨ࡜෇ᙧࡢ෇࿘
ὶฟ㠃 Outlet㸸ྑ➃ࡢὶฟ㠃㸦ࢮࣟᅽຊ᮲௳㸧(5) Menu-Run> Start solverࢶ࣮ࣝ࠿ࡽᶆ‽ࡢ㏲ḟᐇ⾜࡛ࡁࡿ㸬ࡉࡽ࡟୪ิฎ

- 48 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE⌮タᐃ Parallel settings ࡟ࡼࡿ 4 ୪ิฎ⌮ࢆ⾜࠺࡜㸪ゎᯒࡣ⣙㸰ಸ㧗㏿໬ࡉࢀࡲࡋࡓ㸬ࡇࢀࡣὶయ㒊࡜ᵓ㐀㒊ࡢ୧᪉࡟ᙳ㡪ࡋࡲࡍ㸬⇕※࡟ࡼࡗ࡚ຍ⇕ࡉࢀࡓỈࡀᑐὶࡋ࡚㸪ᚎࠎ࡟ࣂ࢖࣓ࢱࣝࡢ ᗘࢆୖࡆ࡚⇕⭾ᙇࡢኚᙧࢆࡳࡿࡓ
ࡵ࡟㸪㠀ᐃᖖゎᯒ࡜ࡋ࡚ィ⟬ࡋࡲࡍ㸬ࡲࡓࣂ࢖࣓
ࢱࣝࡢኚᙧࡣ㸰ḟඖⓗ࡞ࡢ࡛㸪ࡇࡢ౛㢟ࡣ㸰ḟඖࣔࢹ࡛ࣝ⪃࠼ࡲࡍ㸬࡞࠾ຍ⇕࡟ࡼࡿỈࡢᑐὶࡣ㸪ࡺࡗࡃࡾ࡜ࡋࡓ⌧㇟࡞ࡢ࡛㸪ࣂ࢖࣓ࢱࣝࡀ༑ศ࡟ኚᙧࡍࡿࡲ࡛࡟ࡣ
᫬㛫ࡀᚲせ࡛࠶ࡾ㸪ࡇࡢ౛㢟࡛ࡣ 600 ⛊㛫ࢆᑐ㇟࡜ࡋ࡚㸪1 ゎᯒࢫࢸࢵࣉ 1 ⛊࡜ࡋ࡚⾜࠸ࡲࡍ㸬
4.1 ⇕ࢆ⪃៖ࡋࡓ㐃ᡂゎᯒὶయᵓ㐀㐃ᡂゎᯒࡣ㸪ὶయ࡜ᵓ㐀ࡢᶵᲔຊᏛⓗ࡞ᣲືࡢࡳ࡟ὀ┠ࡋ࡚࠸ࡲࡍࡀ㸪࣐ࣝࢳࣇ࢕ࢪࢵ
ࢡࢫࡢ㐃ᡂゎᯒࡢ୰࡛ࡣ୍⯡ⓗ࡞ࡶࡢ࡛ࡍ㸬ࡋ࠿ࡋ⌧ᐇ࡟ࡣ㸪ఱ࠿ࡢ࢚ࢿࣝࢠ࣮࡟ࡼࡗ࡚⛣ືࡸኚ໬࡞࡝ࡢᶵ⬟ࢆ┠ⓗ࡜ࡋࡓసࡽࢀࡓேᕤ≀࡛ࡣ㸪ࡑࡢ࢚ࢿࣝࢠ࣮ࡢ࠶ࡿ㒊ศࡣ┠ⓗ௨እ࡟㸪ᦶ᧿ࡸ᢬ᢠ࡞࡝࡟ࡼࡿ⇕Ⓨ⏕࡟౑ࢃࢀࡲࡍ㸬ࡘࡲࡾᐇ⌧㇟ࢆ᏶඲࡟෌⌧ࡋࡼ࠺࡜ࡍࡿ࡜㸪ᚲࡎࠕ⇕ࠖࢆ⪃៖ࡍࡿᚲせࡀ࠶ࡿࢃࡅ࡛ࡍ㸬ࡶࡕࢁࢇ⇕Ⓨ⏕ࡀഹ࠿࡞ሙྜ࡛㸪ᙳ㡪࡞ࡃᣑᩓࡋ࡚ࡋࡲ
࠺ሙྜ࡟ࡣ↓どࡍࡿࡇ࡜ࡶ࡛ࡁࡲࡍ㸬ࡋ࠿ࡋ⮬ື㌴ࡶࣃࢯࢥࣥࡶ⛣ືࡸィ⟬࡜࠸ࡗࡓ୺ࡓࡿ┠ⓗ௨እ࡟ࡶ㸪෭༷࡟ࡼࡿ᤼⇕ࡀ㔜せ࡞ၥ㢟࡜࡞ࡗ࡚࠸
ࡲࡍ㸬
㏻ᖖࡢ⇕㐃ᡂゎᯒ࡛ࡣ㸪ὶయ㒊࡜ᵓ㐀㒊࡟࠾࠸࡚㸪⇕ࡀ࡝ࡢࡼ࠺࡟⛣ືࡍࡿ࠿ࢆㄪ࡭ࡿሙྜࡀከ
ࡃ㸪ࡑࡢሙྜ࡟ࡣඹᙺ⇕ఏ㐩ゎᯒ㸦CHT㸸Conjugate
Heat Transfer㸧࡜ࡋ࡚㸪ὶయ࡜ᅛయ࡜ࡢ㛫࡛ࡢ⇕ࡢ┦஫స⏝࡟ࡼࡿ㸪ࡑࢀࡒࢀࡢ ᗘኚ໬ࢆồࡵ࡚࠸ࡲࡍ㸬ࡋ࠿ࡋᮏ౛㢟࡛ࡣ㸪ᅛయࡘࡲࡾᵓ㐀㒊ࡢ ᗘୖ᪼࡟ࡼࡗ࡚㸪ࣂ࢖࣓ࢱࣝࡀኚᙧࡍࡿᣲືࢆㄪ࡭ࡿ
ࡓࡵ࡟㸪ᵓ㐀ゎᯒࢆ㏣ຍࡋ࡚࠸ࡲࡍ㸬࡞࠾ ᗘኚ໬࡟ࡼࡿᵓ㐀ኚᙧࢆㄪ࡭ࡿሙྜ࡟ࡣ㸪ElmerGUIࡢタᐃ࡜ࡋ࡚ࠕ⥺ᙧᙎᛶᵓ㐀ゎᯒ㸸Linear elasticityࠖࢯࣝࣂ࣮ࢆ฼⏝ࡋࡲࡍ㸬࡞࠾ Elmer ࡛ࡣ㸪኱ኚᙧࢆ⪃៖ࡋࡓ㠀⥺ᙧᙎᛶᵓ㐀ゎᯒࢯࣝࣂ࣮ࡣ㸪⇕ゎᯒ࡛ࡣ฼⏝࡛ࡁ࡞࠸ࡢ
࡛ὀពࡋ࡚ࡃࡔࡉ࠸㸬ࡇࡢタᐃ᮲௳ࡼࡾ㸪ຍ⇕࡟ࡼࡿᵓ㐀≀ࡢኚᙧࡣ㐣኱࡟࡞ࡽ࡞࠸⠊ᅖ࡟ไ㝈ࡉࢀ㸪኱ࡁ࠸ሙྜ࡛ࡶᵓ㐀㒊ࡢせ⣲ศ๭ࢆ⣽࠿ࡃࡋ࡚㸪ಶࠎࡢせ⣲ࡢኚᙧࡣᑠࡉ࠸≧ែ࡟ࡍࡿᚲせࡀ࠶ࡾࡲࡍ㸬

ᅗ 2 㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡢ࢘࢖ࣥࢻ࢘⾲♧ ౛㢟ࡢゎᯒ⤖ᯝ ゎᯒࡀ⤊஢ࡍࡿ࡜㸪ྍど໬ࢶ࣮ࣝ ParaView ⏝ࡢVTU ᙧᘧࡢࢹ࣮ࢱࡀゎᯒࢫࢸࢵࣉẖ࡟సᡂࡉࢀ
ࡲࡍ㸬ࡇࢀࢆ ParaView ࡛ㄞࡳ㎸ࡳ㸪⾲㠃Ⰽࢆ㏿ᗘ࡜ࡋ࡚᭱ᚋࡢゎᯒࢫࢸࢵࣉࢆ⾲♧ࡍࡿ࡜㸪ᅗ 3 ࡢࡼ࠺࡞࣐࢝ࣝࣥ ࡀ☜ㄆ࡛ࡁࡲࡍ㸬ᅗ 3 ㏿ᗘ⾲♧࡛ࡢ࣐࢝ࣝࣥ

ࡢ≧ែ㸲㸬⇕ὶయ࡜ᵓ㐀࡜ࡢ㠀ᐃᖖ㐃ᡂゎᯒࡇࡢ౛㢟࡛ࡣ㸪⇕※࡟ࡼࡗ࡚ຍ⇕ࡉࢀࡓỈࡀᑐὶࡋ࡚㸪Ỉ୰࡟࠶ࡿࣂ࢖࣓ࢱࣝࢆຍ⇕ࡍࡿࡇ࡜࡛㸪ࢧ࣮ࣔࢫࢱࢵࢺࡢࡼ࠺࡟ኚᙧࡍࡿᵝᏊࢆㄪ࡭࡚ࡳ
ࡲࡍ㸬ࡇࡢሙྜ࡟ࡣ㸪㏻ᖖࡢὶయ࡜ᵓ㐀ࡢ㐃ᡂゎᯒࡢ௙⤌ࡳ࡟ຍ࠼࡚㸪⇕⛣ືࡶ⪃៖ࡍࡿ≀⌮ࣔࢹ
ࣝࢆ㏣ຍࡍࡿࡇ࡜࡟ࡼࡗ࡚ᐇ⌧ࡋࡲࡍ㸬ࡇࡢࣂ࢖࣓ࢱࣝࡣ 2 ✀㢮ࡢⷧ࠸㔠ᒓࢆᙇࡾྜࢃ
ࡏࡓࡶࡢ࡛㸪⇕࡟ᑐࡋ࡚⭾ᙇࡍࡿ⥺⭾ᙇಀᩘࡀ␗
࡞ࡿࡓࡵ㸪኱ࡁࡃ⭾ᙇࡍࡿഃࡢᙳ㡪࡛ᵓ㐀㒊ࡀ᭤
ࡀࡿᵝᏊࢆ☜ㄆࡍࡿࡇ࡜ࡀ࡛ࡁࡲࡍ㸬ࡇࢀࡲ࡛ࡢὶయᵓ㐀㐃ᡂゎᯒ࡛ࡣ㸪≀⌮ࣔࢹࣝ࡜ࡋ࡚ࠕὶయゎᯒ࣭ᵓ㐀ゎᯒ࣭᱁Ꮚ᭦᪂ࠖࡢ 3 ࡘ࡛ࡋࡓࡀ㸪ᮏ⠇ࡢ౛㢟࡛ࡣࠕ⇕ゎᯒࠖࡀ㏣ຍࡉࢀ㸪ఏ⇕ 2021 ᖺ 7 ᭶

- 49 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࣝ࡜ࡋ࡚ὶయ✵㛫࡟ Navier-Stokes ࣔࢹࣝ࡟ࡼࡿὶ
యゎᯒ㸪ᵓ㐀㒊ศ࡟ Linear Elasticty ࣔࢹࣝ࡟ࡼࡿ
ᵓ㐀ゎᯒࢆᐃ⩏ࡋࡲࡍ㸬ྠ᫬࡟ࡑࢀࡒࢀࡢ≀⌮ࣔࢹࣝ࡟ᑐࡋ࡚㸪⇕ゎᯒࡶ㏣ຍࡋ࡚࠸ࡲࡍ㸬ࡑࡢࡓࡵᮏィ⟬࡛ࡣ㸪ὶయࡀᵓ㐀࡟స⏝ࡍࡿຊࡣ⪃៖ࡋ࡚࠾ࡽࡎ㸪ᵓ㐀ࡣ⇕ᛂຊࡢࡳ࡟ࡼࡗ࡚ኚ
ᙧࡋࡲࡍ㸬⇕࡟ࡼࡿᵓ㐀ࡢኚᙧ࡛࠶ࡗ࡚ࡶὶయࡢ᱁Ꮚࢆኚ
໬ࡉࡏࡿࡢ࡛㸪ὶయ࡜ᵓ㐀ࡢቃ⏺㠃࡟࠾࠸࡚㸪2ࡘࡢ≀⌮ࣔࢹࣝࡢ᝟ሗ஺᥮ࡍࡿ Mesh Update ࣔࢹࣝࢆᐃ⩏ࡋࡲࡍ㸬ࡇࡢ౛㢟ࡢᮦᩱ≉ᛶࡣ㸪ὶయࡣ⌧ᐇࡢࠕỈ㸸
Waterࠖࢆᇶ‽࡟タᐃࡋ㸪ᵓ㐀ࡣࣂ࢖࣓ࢱࣝࢆᵓᡂ
ࡍࡿࡓࡵ࡟㸪⌧ᐇࡢࠕ࢔࣑ࣝࢽ࣒࢘ࠖࢆᇶ‽࡜ࡋ࡚㸪ኚᙧࡀ኱ࡁࡃ࡞ࡿࡼ࠺࡟⥺⭾ᙇಀᩘࢆࠕᕥᵓ
㐀㒊㸸2 ಸ㸦x2.00㸧࣭ྑᵓ㐀㒊㸸1/100㸦x0.01㸧ࠖ࡜ࡋ࡚㸪௬᝿ⓗ࡞タᐃ࡜ࡋ࡚࠸ࡲࡍ㸬ࡇࡢ౛㢟࡛ࡣ㸪⇕※࡟ࡼࡾຍ⇕ࡉࢀࡓὶయ㸦Ỉ㸧ࡀ㸪⮬↛ᑐὶࡋ࡚ୖ㒊ࡢࣂ࢖࣓ࢱࣝࡲ࡛⇕ࢆఏ㐩ࡋࡲࡍ㸬ࡇࡢὶయࡀຍ⇕ࡉࢀࡓ࡜ࡁ㸪⇕⭾ᙇ࡟ࡼࡿᐦᗘኚ໬࡟ẚ㍑ࡋ࡚㸪⭾ᙇᅽ⦰࡟ࡼࡿᐦᗘኚ໬ࡀ↓ど࡛ࡁࡿ࡜ࡍࡿ㏆ఝィ⟬ᡭἲࠕࣈࢩࢿࢫࢡ㏆
ఝ㸦Boussinesq approximation㸧ࠖࢆ฼⏝ࡋ࡚࠸ࡲࡍ㸬⇕ゎᯒࡢึᮇ᮲௳࡜ࡋ࡚ࡣ㸪ὶయ࡜ᵓ㐀࡜ࡶ࡟
㏻ᖖࡢᐊ ࡜ࡋ࡚㸪20Υ㸦293.0K㸧࡜ࡋ㸪ᗏ㠃ࡣ㸪
100Υ㸦373.0K㸧࡜ࡋ࡚࠸ࡲࡍ㸬㐃ᡂゎᯒࡢቃ⏺᮲௳࡜ࡋ࡚ࡣ㸪ὶయ࡟㛵ࡍࡿタᐃ࡛ࡣ㸪ቃ⏺㠃ࡣࠕ⁥ࡾ࡞ࡋ᮲௳㸸Noslipࠖ࡜ࡋ࡚㸪ቨ㠃࡛ࡣ⇕ⓗ࡟ࡣタᐃࢆࡋ࡞࠸ࡢ࡛㸪ࠕ᩿⇕ࠖ࡜ࡋ࡚⇕ࡢ⛣ືࡣ࠶ࡾࡲࡏࢇ㸬ὶయࡀᵓ㐀࡜᥋ࡍࡿ㠃ࡢ㐃ᡂࡍࡿቃ⏺᮲௳ࡣ㸪⁥ࡾ࡞ࡋቃ⏺᮲௳࡛࡜ࡋ࡚㸪ࣂ࢖࣓ࢱࣝࢆᅛᐃࡍࡿቃ⏺᮲௳ࡣ㸪ࠕXY᪉ྥࡢኚ఩ 0ࠖࡢタᐃ࡜ࡋࡲࡍ㸬 ౛㢟ࡢゎᯒ⤖ᯝࡇࡢ౛㢟࡛ࡣ㸪㠀ᐃᖖゎᯒ࡞ࡢ࡛⾲♧ࢫࢸࢵࣉࡣ 301 ಶ࠶ࡾ㸪ゎᯒᑐ㇟᫬㛫ࡣ 600 ⛊ࡢᣲື࡛㸪1ࢫࢸࢵࣉ 1 ⛊࡜ࡋ࡚ 600 ࢫࢸࢵࣉ࡜࡞ࡾ㸪ྍど໬⤖ᯝฟຊࡣ 2 ࢫࢸࢵࣉẖ࡞ࡢ࡛㸪0 ࠿ࡽ 300 ࡢ 301
ಶ࡜࡞ࡾࡲࡍ㸬ゎᯒࡢึᮇ≧ែࢆᅗ 6 ࡟♧ࡋࡲࡍ㸬ᗏ㠃ࡢຍ⇕㠃ࡀ㸪㉥Ⰽࡢࠕ100Υ㸦373.0K㸧
ࠖ࡟࡞ࡗ࡚࠸ࡲࡍ㸬 ゎᯒ౛㢟ࡢᐃ⩏ゎᯒࡣᅗ 4 ࡟♧ࡍ 2 ḟඖࣔࢹ࡛ࣝ㸪ὶయࡢゎᯒ✵㛫ࡣ⦪㸦Y=0.60m㸧
࣭ᶓ㸦X=0.45m㸧࡛㸪ᗏ㠃඲యࢆ⇕※ࡢ㠃࡜ࡋ࡚㸪ࡇࡇ࡛ᬮࡵࡽࢀࡓὶయ㸦Ỉ㸧ࡀᑐὶࡋ࡞ࡀࡽୖ᪼ࡋࡲࡍ㸬ୖ㒊ࡢ୰ኸ࠿ࡽࡣ
0.004x0.45m ࡢࣂ࢖࣓ࢱࣝ㸦2mm ࢆ 2 ᯛ㔜ࡡ㸧ࡀᆶ┤ୗྥࡁ࡟᥋⥆ࡉࢀ࡚࠸ࡲࡍ㸬ୖ㒊࡜ᕥྑࡢቨ㠃ࡣ㸪ὶయゎᯒ࡛ࡣ⁥ࡾ࡞ࡋ᮲௳࡛㸪⇕ゎᯒ࡛ࡣ᩿⇕࡜ࡋ࡚࠸ࡲࡍ㸬ᅗ 4 ⇕㐃ᡂゎᯒࡢゎᯒࣔࢹࣝ 㐃ᡂゎᯒࢶ࣮ࣝ Elmer ࡢᶆ‽タᐃ࡛࣓ࢵࢩࣗࢆ
సᡂࡍࡿ࡜㸪ᅗ 5 ࡟♧ࡍࡼ࠺࡞ 3373 ಶࡢ୕ゅᙧ 1
ḟせ⣲࡜࡞ࡾࡲࡍ㸬ゎᯒ✵㛫ࡣ㸪ᕥ㸸ὶయ✵㛫࣭୰㸸ࣂ࢖࣓ࢱࣝᕥ࣭ྑ㸸ࣂ࢖࣓ࢱࣝྑ㸪࡜ࡋ࡚㡿ᇦࡀศ๭ࡉࢀ࡚࠸ࡲࡍ㸬ᅗ 5 ゎᯒࣔࢹࣝࡢ㡿ᇦศ๭ࡇࡢ౛㢟࡛ࡢὶయᵓ㐀㐃ᡂゎᯒ࡛ࡣ㸪≀⌮ࣔࢹఏ⇕ 2021 ᖺ 7 ᭶

- 50 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE

ᅗ 6 ึᮇ≧ែࡢ

ᅗ 7 ᭱⤊≧ែࡢᗘศᕸ᭱⤊≧ែࢆᅗ 7 ࡟♧ࡋࡲࡍ㸬ὶయࡀຍ⇕ࡉࢀ࡚ᑐὶࡋ࡚࠸ࡿᵝᏊࡀศ࠿ࡾࡲࡍ㸬ࣂ࢖࣓ࢱࣝࡢ᭱
኱ኚᙧ㔞ࡀ 0.02884m ࡛ࡍ㸬ఏ⇕ 2021 ᖺ 7 ᭶

ᗘศᕸ

㸳㸬ࡲ࡜ࡵ
㐃 ᡂ ゎ ᯒࢶ࣮ ࣝ Elmer ࢆ ฼ ⏝ ࡍࡿࡇ ࡜ ࡛㸪Windows-PC ࢆ⏝࠸࡚ᡭ㍍࡟ᐇ㊶ⓗ࡞⇕㐃ᡂゎᯒࡀྍ⬟࡛࠶ࡿࡇ࡜ࢆࡈ⤂௓ࡋࡲࡋࡓ㸬࡞࠾ࡇࡇ࡟ᥖ㍕ࡋࡓෆᐜࡢヲ⣽࡟ࡘ࠸࡚ࡣ㸪ཧ⪃ᩥ⊩[1] ࡟ࡲ࡜ࡵ࡚࠸ࡿࡢ࡛㸪⯆࿡ࢆᣢࡓࢀࡓ
᪉ࡣࡐࡦཧ⪃࡟ࡋ࡚㐃ᡂゎᯒ࡟ྲྀࡾ⤌ࢇ࡛ࡳ࡚ࡃ
ࡔࡉ࠸㸬
ཧ⪃ᩥ⊩
[1] ᰘ⏣Ⰻ୍㸪ࠕElmer࡛ࠖࡣࡌࡵࡿ㐃ᡂゎᯒ㸪ᕤᏛ♫ (2020)㸬

- 51 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ OpenModelica࡜኱Ꮫ࡟࠾ࡅࡿᩍ⫱࡜◊✲࡬ࡢ㐺⏝஦౛
Open Source Software “OpenModelica”
and Application Examples to Education in University Class and Researchesす ๛ఛ㸦㊊฼኱Ꮫ㸧
Koji NISHI (Ashikaga University)e-mail: nishi.koji@g.ashikaga.ac.jp㸯㸬ࡣࡌࡵ࡟⌧௦ࡢ〇ရࡣ㸪⮬ື㌴࡟௦⾲ࡉࢀࡿࡼ࠺࡟㸪㠀ᖖ࡟ከࡃࡢ㒊ရࡸࣔࢪ࣮࡛ࣗࣝᵓᡂࡉࢀ㸪」㞧໬㸪㧗ᶵ⬟໬ࡋ࡚࠸ࡿ㸬㝈ࡽࢀࡓタィᮇ㛫ෆ࡟㸪ࢩࢫࢸ࣒ࡢไᚚᛶࡸᏳ඲ᛶࢆ☜ಖࡋࡘࡘ㸪㧗ᛶ⬟໬㸪┬࢚ࢿ໬ࢆᐇ⌧ࡍࡿ࡟ࡣ㸪ࢩࢫࢸ࣒඲యࡢᣲືࡸ
≉ᛶࢆぢ㏻ࡍࡇ࡜ࡀᚲせ࡟࡞ࡿ㸬ࡑࡋ࡚㸪ࢩࢫࢸ࣒඲యࡢᣲືࡸ≉ᛶࢆぢ㏻ࡍ࡟ࡣ㸪㒊ရࡸࣔࢪࣗ
࣮ࣝࣞ࣋ࣝࡣࡶࡕࢁࢇ㸪㟁Ẽࡸ☢Ẽ㸪ᶵᲔ㸪⇕➼㸪ࡉࡲࡊࡲ࡞≀⌮ࢻ࣓࢖ࣥࢆ㊬ࡄࢩࢫࢸ࣒࡛ࣞ࣋ࣝ
ࡢືసࡸ≉ᛶࢆࣔࢹࣝ໬ࡋ㸪ࢩ࣑࣮ࣗࣞࢩࣙࣥᐇ⾜ࡍࡿ⎔ቃࡀᚲせ࡛࠶ࡿ㸬ࡇࡢࡼ࠺࡞≧ἣୗ㸪ࡑࢀࢆᐇ⌧ࡍࡿᡭἲ࡜ࡋ࡚㸪ࣔࢹ࣮ࣝ࣋ࢫࢹࢨ࢖ࣥ
ࡀὀ┠ࡉࢀ࡚࠸ࡿ㸬ᮏ✏࡛ࡣ㸪ࣔࢹ࣮ࣝ࣋ࢫࢹࢨ
࢖ࣥ࡟ά⏝ࡍࡿࡇ࡜ࡀ࡛ࡁࡿ࣮࢜ࣉࣥࢯ࣮ࢫࡢ≀⌮ࣔࢹࣜࣥࢢཬࡧࢩ࣑࣮ࣗࣞࢩࣙࣥ⎔ቃ
OpenModelica [1]࡟ࡘ࠸࡚⤂௓ࡍࡿ࡜࡜ࡶ࡟㸪➹⪅ࡀᦠࢃࡗ࡚࠸ࡿ኱Ꮫ࡛ࡢᩍ⫱ཬࡧ◊✲࡬ࡢ㐺⏝஦౛࡟ࡘ࠸࡚⤂௓ࡍࡿ㸬࡞࠾㸪➹⪅ࡣ㟁Ẽ⣔ࡢศ㔝࡟ᡤᒓࡋ࡚࠾ࡾ㸪ᩍ⫱஦౛࡟ࡘ࠸࡚ࡣᶵᲔ⣔࡛ࡣ࡞ࡃ㸪㟁Ẽ⣔ࡢෆᐜ࡜࡞ࡿⅬ㸪࠶ࡽ࠿ࡌࡵࡈ஢ᢎ
㡬ࡅࢀࡤᖾ࠸࡛࠶ࡿ㸬
㸰㸬0RGHOLFD ࡜ 2SHQ0RGHOLFD 0RGHOLFD
OpenModelica ࡣ㸪Modelica [2]ࢆ⏝࠸ࡓ≀⌮ࣔࢹࣜࣥࢢཬࡧࢩ࣑࣮ࣗࣞࢩࣙࣥ⎔ቃ࡛࠶ࡿ㸬௨ୗ㸪ࡲࡎ Modelica ࡟ࡘ࠸࡚ㄝ᫂ࡍࡿ㸬
Modelica ࡣ㸪The Modelica Association ࡀ⟇ᐃཬࡧ⟶⌮ࡍࡿ㸪㟁Ẽࡸ☢Ẽ㸪ᶵᲔ㸪⇕➼ࡢ≀⌮⣔ࢆࣔࢹࣜࣥࢢࡍࡿࡓࡵࡢ㸪࢜ࣈࢪ࢙ࢡࢺᣦྥゝㄒ࡛࠶ࡿ㸬ࡑࡢṔྐࡣ 1996 ᖺ⛅࡟⾜ࢃࢀࡓ఍㆟࡟㐳ࡾ㸪20 ᖺవ࡟Ώࡗ࡚㸪௙ᵝࡀᣑᙇࡉࢀ࡚ࡁࡓ㸬ࣔࢹ࣮ࣝ࣋ࢫࢹࢨ࢖࡛ࣥࡣ㸪ࢩ࣑࣮ࣗࣞࢩࣙࣥᑐ㇟ࢆᙧ
≧ࢆకࢃ࡞࠸ᴫᛕࣔࢹࣝ࡜ࡋ࡚ࣔࢹࣝ໬ࡍࡿ㸬
Modelica ࡛ࡣ㸪㟁ẼᕤᏛ࡟࠾࠸࡚ྂࡃ࠿ࡽ⏝࠸ࡽఏ⇕ 2021 ᖺ 7 ᭶ࢀ࡚ࡁࡓᅇ㊰⌮ㄽࡢࡼ࠺࡟㸪ࡑࡢ≀⌮ࢻ࣓࢖ࣥ࡟
࠾ࡅࡿὶࢀ࡜࣏ࢸࣥࢩࣕࣝࢆ⤌ࡳྜࢃࡏ࡚ᴫᛕࣔ
ࢹࣝࢆᵓᡂࡍࡿ㸬౛࠼ࡤ㸪㟁Ẽ࡜⇕ࡣ㸪⾲ 1 ࡢࡼ࠺࡟┦ఝᛶࡀ࠶ࡾ㸪ఏ⇕⌧㇟ࢆ⇕ᅇ㊰⥙࡜ࡋ࡚⾲⌧ྍ⬟࡛࠶ࡿ㸬ࡲࡓ㸪Modelica ࡣ㸪༢఩ࡢᴫᛕࢆ
᭷ࡋ㸪1 ࡘࡢࣔࢹࣝෆ࡟」ᩘࡢ≀⌮ࢻ࣓࢖ࣥࢆඹ
Ꮡࡉࡏ㸪ࡉࡽ࡟㐃ᡂࡋ࡚ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ⾜࠺ࡇ࡜ࡀྍ⬟࡛࠶ࡿ㸬
Modelica ࡣ㸪࠸ࢃࡺࡿࣉࣟࢢ࣑ࣛࣥࢢゝㄒࡢ୍✀࡛࠶ࡾ㸪C++㸪Java㸪Python ࡜࠸ࡗࡓࣉࣟࢢࣛ
࣑ࣥࢢゝㄒ࡜ඹ㏻ࡍࡿ㒊ศࡶከ࠸ࡀ㸪≉␗࡞Ⅼ࡜ࡋ࡚㸪ୖ㏙ࡋࡓձ ༢఩ࡢᴫᛕࢆ᭷ࡍࡿ
௚㸪ղ GUI㸦Graphical User Interface㸧௙ᵝࢆ᭷ࡍࡿճ ゝㄒ௙ᵝ࡟๎ࡗ࡚グ㏙ࡉࢀࡓ᭷ൾ㸪↓ൾࡢᵝࠎ࡞ࣛ࢖ࣈࣛࣜࡀ฼⏝࡛ࡁࡿմ ௦ධᘧࡔࡅ࡛࡞ࡃ㸪᪉⛬ᘧࢆグ㏙࡛ࡁࡿࡀ࠶ࡿ㸬ղ㸪ճ࡟ࡼࡾ㸪Modelica ࡣࣉࣟࢢ࣑ࣛࣥ
ࢢゝㄒ࡛࠶ࡿࡶࡢࡢ㸪ࣔࢹࣝసᡂ࡟࠾ࡅࡿసᴗࡢ
኱༙ࢆ࣐࢘ࢫ࡟ࡼࡿ GUI㸦Graphical User Interface㸧᧯స࡛⾜࠺ࡇ࡜ࡀ࡛ࡁࡿ㸬ճࡢ୰ᚰ࡜࡞ࡿࡢࡣ㸪↓ ൾ ࡛ ᥦ ౪ ࡉ ࢀ ࡿ Modelica ᶆ ‽ ࣛ ࢖ ࣈ ࣛ ࣜ㸦Modelica Standard Library㸪௨ୗ㸪MSL㸧[3]࡛࠶
ࡿ㸬MSL ࡣᅗ 1 ࡟♧ࡍࡼ࠺࡟㸪㟁Ẽ㸦Electrical㸧㸪☢Ẽ㸦Magnetic㸧㸪࣓࢝ࢽࢡࢫ㸦Mechanics㸧㸪ὶయ㸦Fluid㸧㸪⇕㸦Thermal㸧ࡢ≀⌮ࢻ࣓࢖ࣥ࡜༢఩ࢆᣢ
ࡓ࡞࠸⣧⢋࡞ᐇᩘࡸ」⣲ᩘࢆᢅ࠺ࣈࣟࢵࢡ
㸦Blocks ཬࡧ ComplexBlocks㸧➼࠿ࡽᵓᡂࡉࢀࡿ㸬- 52 -

⾲ 1 㟁Ẽ࡜⇕ࡢ┦ఝᛶ㟁Ẽ㸦༢఩㸧 ⇕㸦༢఩㸧ὶࢀ㟁ὶ㸦A㸧ఏ⇕㔞㸦W㸧
࣏ࢸࣥࢩࣕࣝ
㟁఩㸦V㸧
ᗘ㸦K㸧
᢬ᢠ
㟁Ẽ᢬ᢠ㸦ȍ㸧 ⇕᢬ᢠ㸦K/W㸧

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
MSL ࡣ Modelica ࡢ᰿ᖿࢆᡂࡍࣛ࢖ࣈ࡛ࣛࣜ࠶ࡾ㸪ᥦ౪ࡉࢀࡿ㒊ရࣔࢹࣝࢆ⤌ࡳྜࢃࡏࡿࡇ࡜࡛㸪ࡉࡲࡊࡲ࡞ࣔࢹࣝࢆసᡂࡍࡿࡇ࡜ࡀ࡛ࡁࡿ㸬ࡲࡓ㸪
MSL ࡟ࡣከᩘࡢࢧࣥࣉࣝࣔࢹࣝࡀྠᲕࡉࢀ࡚࠾
ࡾ㸪㒊ရࣔࢹࣝࡢ౑࠸᪉ࢆᏛࡪࡢ࡟౽฼࡛࠶ࡿ㸬 2SHQ0RGHOLFD
OpenModelica ࡣ㸪ୖ㏙ࡢ㏻ࡾ㸪࣮࢜ࣉࣥࢯ࣮ࢫ
ࡢ Modelica ࢆ⏝࠸ࡓ≀⌮ࣔࢹࣜࣥࢢཬࡧࢩ࣑ࣗ
࣮ࣞࢩࣙࣥ⎔ቃ࡛࠶ࡿ㸬ࣔࢹࣝࡢసᡂ㸪ࢩ࣑࣮ࣗࣞࢩࣙࣥࡢᐇ⾜㸪ࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝࡢྍど໬ཬࡧಖᏑࡲ୍࡛ࡘࡢ࢘࢕ࣥࢻ࢘ෆ࡛⾜࠺ࡇ࡜ࡀ࡛
ࡁࡿ㸬Windows ∧ࡀᥦ౪ࡉࢀ࡚࠾ࡾ㸪ึᚰ⪅࡛ࡶ
Ẽ㍍࡟࢖ࣥࢫࢺ࣮ࣝࡋ㸪౑⏝࡛ࡁࡿ㸬
OpenModelica ࢘࢕ࣥࢻ࢘ࢆᅗ 2 ࡟♧ࡍ㸬࢘࢕ࣥࢻ࢘ෆᕥഃ࡟ࡣ㸪ࣛ࢖ࣈࣛࣜࣈࣛ࢘ࢨࡀ࠶ࡿ㸬ࣛ࢖ࣈࣛࣜࣈࣛ࢘ࢨࡣ㸪ࡑࡢྡ๓ࡢ㏻ࡾ㸪ࣛ࢖ࣈࣛࣜࡸసᡂࡍࡿࣔࢹࣝࢆ୍ぴ⾲♧ࡍࡿ㸬ୖ㏙ࡢ MSL
ࡣࢹࣇ࢛ࣝࢺ࡛ࣛ࢖ࣈࣛࣜࣈࣛ࢘ࢨ࡟࣮ࣟࢻࡉࢀ㸪≉ู࡞タᐃࢆ⾜࠺ࡇ࡜࡞ࡃ౑⏝ྍ⬟࡛࠶ࡿ㸬ࡲࡓ㸪ࣛ࢖ࣈࣛࣜࣈࣛ࢘ࢨෆ࡛ࣔࢹࣝࢆ㑅ᢥࡍࡿ࡜㸪⏬
㠃୰ኸ㒊࡟ࡑࡢ୰㌟ࡀ⾲♧ࡉࢀࡿ㸬 2SHQ0RGHOLFD ౑⏝ࡢὶࢀᅗ 3 ࡟♧ࡋࡓ㞟୰ᐃᩘࡢ⇕ᅇ㊰⥙ࡢసᡂᡭ㡰ࢆ
౛࡟㸪OpenModelica ࡟ࡼࡿࣔࢹࣜࣥࢢཬࡧࢩ࣑ࣗ
࣮ࣞࢩࣙࣥࡢὶࢀࢆㄝ᫂ࡍࡿ㸬ࣔࢹࣝࢆసᡂࡍࡿ࡟ࡣ㸪✵ࡢࣔࢹࣝࢆ᪂つసᡂࡋ㸪ࣛ࢖ࣈࣛࣜࣈࣛ࢘ࢨ࡛౑⏝ࡍࡿ㒊ရࣔࢹࣝࢆ
㑅ᢥࡋ㸪࣐࢘ࢫ᧯స࡛ࣔࢹࣝෆ࡟㓄⨨ࡋ࡚࠸ࡃ㸬ᅗ 4 ࡣ⇕᢬ᢠ Rth ࢆ㓄⨨ࡋࡓ౛࡛࠶ࡿ㸬ྠᵝ࡟㸪Ⓨ⇕※ P㸪⇕ᐜ㔞 Cth㸪⎔ቃ ᗘ TA ࢆ㓄⨨ࡋ㸪ࡇࢀࡽࢆࢥࢿࢡࢱ࡛᥋⥆ࡍࡿ㸦ᅗ 5㸧㸬㒊ရࣔࢹࣝ࡟
ࡼࡗ࡚ࡣ㸪タᐃ್㸦Modelica ࡛ࡣࣃ࣓࣮ࣛࢱ࡜࠸
࠺㸧ࢆ᭷ࡍࡿ㸬ࡑࢀࡽࢆタᐃࡍࢀࡤࣔࢹࣝࡣ᏶ᡂ࡛࠶ࡿ㸬

ᅗ 2 OpenModelica ࢘࢕ࣥࢻ࢘


ᅗ 3 㞟୰ᐃᩘࡢ⇕ᅇ㊰⥙ᅗ 4 㒊ရࣔࢹࣝࡢ㓄⨨ᅗ 5 㒊ရࣔࢹࣝࡢ᥋⥆ᅗ 1 Modelica ᶆ‽ࣛ࢖ࣈࣛࣜ

ఏ⇕ 2021 ᖺ 7 ᭶

- 53 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࣔࢹࣝࡀ᏶ᡂࡋࡓࡽ㸪OpenModelica ࢘࢕ࣥࢻ࢘
ෆࡢࢩ࣑࣮ࣗࣞࢩࣙࣥࡢᐇ⾜࣎ࢱࣥࢆᢲࡋ࡚㸪ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ⾜ࡍࡿࡇ࡜࡟࡞ࡿ㸬୍㐃ࡢసᴗࡣ㸪࣐࢘ࢫ᧯సࡀ୺య࡛࠶ࡿࡀ㸪OpenModelicaࡣࣂࢵࢡࢢࣛ࢘ࣥࢻ࡛ Modelica ࣉࣟࢢ࣒ࣛࢆ⏕ᡂࡋ࡚࠸ࡿ㸬ࢩ࣑࣮ࣗࣞࢩࣙࣥᐇ⾜᫬㸪Modelicaࣉࣟࢢ࣒ࣛࡣ㸪Modelica ࢥࣥࣃ࢖ࣛ࡟ࡼࡗ࡚㸪࠸
ࡗࡓࢇ C ࢥ࣮ࢻ࡟ኚ᥮ࡉࢀ㸪C ࢥ࣮ࢻ࠿ࡽ C ࢥࣥࣃ࢖ࣛ࡟ࡼࡗ࡚ᐇ⾜ࣇ࢓࢖ࣝࡀ⏕ᡂࡉࢀࡿ㸦ᅗ 6㸧㸬ࡑࡋ࡚㸪ࢩ࣑࣮ࣗࣞࢩࣙࣥࡀ⮬ືⓗ࡟㛤ጞࡉࢀࡿ㸬ࢩ࣑࣮ࣗࣞࢩࣙࣥࡀ᏶஢ࡍࡿ࡜㸪OpenModelica࢘࢕ࣥࢻ࢘ࡀࣉࣟࢵࢺ⾲♧࡟ษࡾ᭰ࢃࡾ㸪⏬㠃ྑഃ࡟ኚᩘࣈࣛ࢘ࢨࡀ⌧ࢀࡿ㸬ࡑࡋ࡚㸪ࢢࣛࣇ⾲♧ࡉࡏࡓ࠸ኚᩘࢆ㑅ᢥࡍࡿ࡜㸪ࢢࣛࣇ࡟ࢩ࣑࣮ࣗࣞ
ࢩࣙࣥ⤖ᯝࡀࣉࣟࢵࢺࡉࢀࡿ㸦ᅗ 7㸧㸬ࢩ࣑࣮ࣗࣞ
ࢩࣙࣥ⤖ᯝࡣ CSV㸦Comma-Separated Values㸧ࣇ࢓࢖ࣝ࡟ࢹ࣮ࢱ࡜ࡋ࡚ಖᏑࡍࡿࡇ࡜ࡶྍ⬟࡛࠶ࡿ㸬㸱㸬኱Ꮫᩍ⫱࡬ࡢ㐺⏝஦౛ 㟁Ꮚᅇ㊰⣔ᤵᴗ࡛ࡢά⏝
㊊฼኱Ꮫ㟁Ẽ㟁Ꮚศ㔝࡛ࡣ㸪Ꮫ㒊 1 ᖺḟᚋᮇ࠿ࡽ㟁Ẽᅇ㊰ࢆᏛࡪ㸬㟁Ẽᅇ㊰࡛ฟ࡚ࡃࡿ⣲Ꮚࡣ᢬ᢠ㸪ࢥࣥࢹࣥࢧ㸪ࢥ࢖ࣝ࡜࠸ࡗࡓཷື⣲Ꮚ࡛࠶ࡾ㸪࣮࣒࢜ࡢἲ๎

V RI
  㸦1㸧࡟௦⾲ࡉࢀࡿࡼ࠺࡟㸪ὶࢀ㸦㟁ὶ㸧࡜࣏ࢸࣥࢩࣕ
ࣝ㸦㟁఩㸧ࡢ㛵ಀࡀ⥺ᙧ࡛࠶ࡿ㸬ࡇࡇ࡛㸪V ࡣ㟁఩ᕪ㸪R ࡣ㟁Ẽ᢬ᢠ㸪I ࡣ㟁ὶ࡛࠶ࡿ㸬⥺ᙧࡢ㛵ಀࡀᡂࡾ❧ࡘሙྜ㸪1 ḟࡢ௦ᩘ᪉⛬ᘧࢆ㐃❧ࡍࡿࡇ࡜࡛ὶࢀࢆゎࡃࡇ࡜ࡀ࡛ࡁࡿ㸬㐃❧᪉⛬ᘧࡢᩘࡀᑡ࡞ࡅࢀࡤ㸪ᡭィ⟬࡛ࡶゎࢆᚓࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿ㸬୍᪉㸪Ꮫ㒊 3 ᖺḟ࠿ࡽᏛࡪ㟁Ꮚᅇ㊰ࡣ༙ᑟయࢆྵࡴᅇ㊰࡛࠶ࡾ㸪ࡑࢀ࡯࡝⡆༢࡟ࡣ⾜࠿࡞࠸㸬༙ᑟయࡣ㸪ᩚὶ㸪ቑᖜ㸪ࢫ࢖ࢵࢳࣥࢢࢆ⾜࠺㠀⥺ᙧ⣲Ꮚ࡛࠶ࡾ㸪㟁Ꮚᅇ㊰࡛ࡣ㠀⥺ᙧ⣲Ꮚࡢᣲືࢆ
⌮ゎࡍࡿᚲせࡀ࠶ࡿ㸬༙ᑟయ⣲Ꮚཬࡧ㟁Ꮚᅇ㊰ࡢ⌮ゎࢆ῝ࡵࡿࡓࡵ㸪➹⪅ࡀᢸᙜࡍࡿ㟁Ꮚᅇ㊰⣔⛉┠࡛ࡣ㸪₇⩦ࡢ୍㒊࡟ OpenModelica ࢆ⏝࠸ࡓࣔࢹࣝ໬࡜ࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ₇⩦ࢆྲྀࡾධࢀ࡚࠸ࡿ㸬
3.2 ⠇௨㝆࡛ࡣ㸪ࡑࡢྲྀࡾ⤌ࡳ࡟ࡘ࠸࡚⤂௓ࡍࡿ㸬 ᤵᴗ࡛ࡢά⏝౛㸯㸦ᮏ㉁ࢆ⌮ゎࡍࡿ㸧ఏ⇕ᕤᏛࢆጞࡵ࡜ࡍࡿᏛၥศ㔝ࡶྠᵝ࡛࠶ࡿࡀ㸪༙ᑟయ⣲Ꮚࡢᣲືࣔࢹࣝ࡟ࡣ㸪⌮᝿ࣔࢹࣝ࡜ᐇࢹ
ࣂ࢖ࢫࣔࢹࣝࡀ࠶ࡿ㸬ึᏛ⪅࡟࡜ࡗ࡚㸪⌮᝿ࣔࢹఏ⇕ 2021 ᖺ 7 ᭶

- 54 -

ᅗ 6 ᐇ⾜ࣇ࢓࢖ࣝ⏕ᡂࡢὶࢀᅗ 7 OpenModelica ࢘࢕ࣥࢻ࢘ࡢࣉࣟࢵࢺ⾲♧(a) ⌮᝿ࢫ࢖ࢵࢳ (b) nMOS ࢺࣛࣥࢪࢫࢱ
ᅗ 8 ࢫ࢖ࢵࢳࣥࢢ⣲Ꮚࣔࢹࣝᅗ 9 ⌮᝿ࢫ࢖ࢵࢳࣔࢹࣝࢆ⏝࠸࡚ᵓᡂࡋࡓ   3 ┦࢖ࣥࣂ࣮ࢱᅇ㊰ࣔࢹࣝࣝࢆ⏝࠸ࡓᅇ㊰࡛ᮏ㉁ⓗ࡞ືసࡸ≉ᛶࢆᏛࢇࡔୖ
࡛㸪ᐇࢹࣂ࢖ࢫࣔࢹࣝࢆ⏝࠸ࡓᅇ㊰ࢆᏛࡪࡢࡀᮃ
ࡲࡋ࠸㸬OpenModelica ࡛ࡣ㸪ࡇࢀࢆ㒊ရࣔࢹࣝࡢ
ධࢀ᭰࠼ࡔࡅ࡛ᐇ⌧࡛ࡁࡿ㸬

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE
model nMOSTansistorModel㸦㏵୰┬␎㸧
equationvGS = G.v – S.v;
vDS = D.v – S.v;
if vGS <= VT thenregionFlag = 1;
iDS = 0;elseif vDS <= vGS – VT thenregionFlag = 2;iDS = 2 * K * (vGS – VT – vDS/2) * vDS;
else
regionFlag = 3;iDS = K * (vGS – VT)^2;
end if;㸦㏵୰┬␎㸧
annotation(…);
end nMOSTansistorModel;ᅗ 10 nMOS ࢺࣛࣥࢪࢫࢱ⮬సࣔࢹࣝࡢグ㏙౛౛࠼ࡤ㸪ࢫ࢖ࢵࢳࣥࢢ⣲Ꮚࡢሙྜ㸪MSL ࡟ࡣ㸪⌮᝿ࣔࢹࣝ࡜ࡋ࡚⌮᝿ࢫ࢖ࢵࢳࣔࢹࣝ㸪ᐇࢹࣂ࢖ࢫࣔࢹࣝ࡜ࡋ࡚ nMOS㸦n-channel Metal-OxideSemiconductor㸧ࢺࣛࣥࢪࢫࢱࣔࢹࣝࡀ⏝ពࡉࢀ࡚࠸ࡿ㸦ᅗ 8㸧㸬ࡇࢀࡽࢆ⏝࠸ࢀࡤ㸪EV㸦Electric
Vehicle㸧➼࡛ 3 ┦࣮ࣔࢱࢆ㥑ືࡍࡿ㝿࡟⏝࠸ࡽࢀ
࡚࠸ࡿ 3 ┦࢖ࣥࣂ࣮ࢱᅇ㊰ࣔࢹࣝࡶẚ㍑ⓗ⡆༢࡟ᵓᡂྍ⬟࡛࠶ࡿ㸦ᅗ 9㸧
㸬OpenModelica ࢆ⏝࠸ࡓ₇⩦࡛ࡣ㸪3 ┦࢖ࣥࣂ࣮ࢱᅇ㊰ࡢࡼ࠺࡞ᛂ⏝ᅇ㊰ࢆᏛࡪ㝿ࡣ㸪᭱ึ࡟㸪⌮᝿ࢫ࢖ࢵࢳࣔࢹࣝࢆ⏝࠸ࡓᅇ㊰ࣔࢹࣝࢆసᡂࡋ㸪ࢫ࢖ࢵࢳࣥࢢ⣲Ꮚࡢᮏ㉁ⓗ࡞ᙺ๭ࢆᏛࢇ࡛ࡶࡽ࠺ࡼ࠺࡟ࡋ࡚࠸ࡿ㸬 ᤵᴗ࡛ࡢά⏝౛㸰㸦㠀⥺ᙧືసࢆ⌮ゎࡍࡿ㸧 㠀⥺ᙧ⣲Ꮚࡣ㸪᮲௳࡟ࡼࡗ࡚␗࡞ࡿᩘᘧ࡛ࣔࢹ
ࣝ໬ࡉࢀࡿ㸬ᩘᘧࡣ⥺ᙧ⣲Ꮚࡢሙྜࡼࡾ」㞧࡛࠶ࡾ㸪༢࡟ᡭィ⟬࡟ࡼࡿ₇⩦ၥ㢟࡟ྲྀࡾ⤌ࢇࡔࡔࡅ࡛ࡣ㸪ึᏛ⪅ࡀࡑࡢᣲືࢆ༑ศ࡟⌮ゎࡍࡿࡇ࡜ࡣ
㞴ࡋ࠸㸬ࡑࡇ࡛㸪୍Ṍ㋃ࡳ㎸ࢇࡔ₇⩦࡜ࡋ࡚㸪
OpenModelica ࢆά⏝ࡋ࡚࠸ࡿ㸬౛࠼ࡤ㸪nMOS ࢺࣛࣥࢪࢫࢱ࡛ࡣ㸪ࢹࣂ࢖ࢫෆ
ࢆࢻࣞ࢖ࣥ࠿ࡽࢯ࣮ࢫ࡟ྥ࠿ࡗ࡚㟁ὶ iDS ࡀὶࢀࡿࡀ㸪᮲௳࡟ࡼࡾᘧࡀ␗࡞ࡿ[4]㸬
㐽᩿㡿ᇦ㸦vGS ӌVT㸧㸸

iDS

0

㸦2㸧
ᅗ 11 ⮬సࡋࡓ nMOS ࢺࣛࣥࢪࢫࢱࣔࢹࣝ
ࡢືస☜ㄆࣔࢹࣝ

⥺ᙧ㡿ᇦ㸦vGS > VT ࠿ࡘ vDS ӌvGS 㸫 VT㸧㸸i DS

K vGS  VT  v DS 2 v DS㸦3㸧㣬࿴㡿ᇦ㸦vGS > VT ࠿ࡘ vDS >vGS 㸫 VT㸧㸸i DS

K vGS  VT

2



㸦4㸧

ࡇࡇ࡛㸪K ࡣ nMOS ࢺࣛࣥࢪࢫࢱࡢ≀ᛶࡸᙧ≧࡛Ỵࡲࡿಀᩘ㸪vGS ࡣࢤ࣮ࢺ㸫ࢯ࣮ࢫ㛫㟁ᅽ㸪VT ࡣࢫࣞࢵࢩࣙࣝࢻ㟁ᅽ㸪vDS ࡣࢻࣞ࢖ࣥ㸫ࢯ࣮ࢫ㛫㟁ᅽ࡛࠶ࡿ㸬K ࡸ VT ࡣ୍ᐃ᮲௳ୗ࡟࠾࠸࡚ᅛᐃ್࡜ࡳ࡞ࡏࡿ
ࡀ㸪vGS ࡸ vDS ࡣ➃Ꮚ㛫࡟࠿࠿ࡿ㟁ᅽ࡛࠶ࡾ㸪ᅇ㊰ࡢ≧ែ࡟ࡼࡗ್࡚ࡀኚ໬ࡍࡿ㸬OpenModelica ࡛ࡣ㸪࣐࢘ࢫ᧯సࡢ௚㸪Modelica ࣉࣟࢢ࣒ࣛࢆ┤᥋࣮࣮࢟࣎ࢻධຊࡍࡿࡇ࡜ࡶྍ⬟࡛࠶ࡿ㸬₇⩦࡛ࡣ㸪ྛ⮬ࡀୖ㏙ࡢ㟁ὶᘧࢆ Modelica ࣉࣟࢢ࣒ࣛ࡜ࡋ࡚
グ㏙ࡋ㸦ᅗ 10㸧㸪ືస☜ㄆࣔࢹࣝࢆసᡂࡋ࡚㸦ᅗ11㸧㸪ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ⾜ࡍࡿ㸬᭱ᚋ࡟㸪⤖ᯝࢆࢢࣛࣇ⾲♧ࡉࡏ㸦ᅗ 12㸧㸪㟁ὶ≉ᛶࢆ☜ㄆࡍࡿ㸬ఏ⇕ 2021 ᖺ 7 ᭶- 55 -

ᅗ 12 ⮬సࡋࡓ nMOS ࢺࣛࣥࢪࢫࢱࣔࢹࣝ   ࡢ㠀⥺ᙧ㟁ὶ≉ᛶືస☜ㄆࣔࢹࣝࡢタᐃࢆኚ࠼ࡿࡇ࡜࡛㸪ࡉࡲࡊࡲ࡞᮲௳࡛ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆᐇ᪋ࡋ㸪ࢢࣛࣇ⾲♧ࡍࡿࡇ࡜ࡀྍ⬟࡛࠶ࡾ㸪సᡂࡋࡓࣔࢹࣝࡢ≉ᛶࡸᣲື࡟㛵ࡋ࡚⌮ゎࢆ῝ࡵࡿࡢ࡟ᙺ❧ࡘ㸬

J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE ᤵᴗ࡛ࡢά⏝ 㸦㟁Ẽ࡜⇕ࡢࢻ࣓࢖ࣥࢆ⧅ࡄ㸧 㟁Ꮚᅇ㊰ࢆ⏝࠸ࡓ㟁Ꮚᶵჾ㸪࣮ࣔࢱࢆጞࡵ࡜ࡍ
ࡿ㟁Ẽᶵჾ࡛ࡣ㸪ࢧ࣮࣐࣐ࣝࢿ࣮ࢪ࣓ࣥࢺࡀᴟࡵ࡚㔜せ࡛࠶ࡿ㸬ࡋ࠿ࡋ㸪㟁Ẽ⣔ࡢᩍ⛉᭩࡟ࡣ㸪ࢧ࣮࣐࣐ࣝࢿ࣮ࢪ࣓ࣥࢺ࡟㛵ࡍࡿㄝ᫂ࡀ඲ࡃ࡞࠸࠿㸪ࡶࡋࡃࡣ㸪ᡭィ⟬࡟ࡼࡿ⡆᫆ぢ✚ࡶࡾᡭἲࡀ㏙࡭
ࡽࢀ࡚࠸ࡿ⛬ᗘ࡛࠶ࡿ㸬୍᪉㸪ᐇ〇ရࡢタィ⌧ሙ࡛ࡣ㸪ᑠᆺ໬㸪┬࢚ࢿ໬ࢆ㐩ᡂࡍࡿୖ࡛㸪ࢧ࣮࣐࣐ࣝࢿ࣮ࢪ࣓ࣥࢺࡣḞ࠿ࡏ࡞࠸㸬ࡑࡇ࡛㸪㟁Ẽ࡜⇕ࡢ≀⌮ࢻ࣓࢖ࣥࢆ⧅࠸ࡔ OpenModelica ࡟ࡼࡿᗘண ࢩ࣑࣮ࣗࣞࢩࣙࣥࡢ₇⩦ࡶᐇ᪋ࡋ࡚࠸ࡿ㸬ᅗ 13 ࡣ㸪ࣃ࣮ࢯࢼࣝࢥࣥࣆ࣮ࣗࢱࡢ㢌⬻࡛࠶ࡿCPU㸦Central Processing Unit㸧ࡢ㟁ຊࣔࢹࣝ࡜ 2❶࡛ㄝ᫂ࡋࡓ⇕ᅇ㊰⥙ࢆ᥋⥆ࡋࡓࣔࢹ࡛ࣝ࠶ࡿ㸬CPU ࡣ CMOS㸦Complementary MOS㸧ᅇ㊰࡜ࡋ࡚ᐇ⿦ࡉࢀ࡚࠾ࡾ㸪CMOS ᅇ㊰࡛ࡣ㟁※࠿ࡽᢞධࡉ
ࢀࡓ㟁Ẽ࢚ࢿࣝࢠ࣮ࡢ࡯ࡰࡍ࡭࡚ࡀ⇕࡜࡞ࡿ㸬
CMOS ᅇ㊰࡜ࡋ࡚ᐇ⿦ࡉࢀࡓ CPU ࡢᾘ㈝㟁ຊ㸪ࡘࡲࡾ㸪Ⓨ⇕㔞 PCPU ࡣ㸪

PCPU

2

aCloadVDD f op  I leakVDD

ᅗ 13 CPU ࡢᾘ㈝㟁ຊࣔࢹࣝ࡜⇕ᅇ㊰⥙   ࢆ⤌ࡳྜࢃࡏࡓࣔࢹࣝ

㸦5㸧࡛⾲ࡉࢀࡿ[5]㸬ࡇࡇ࡛㸪a ࡣືస⋡㸪Cload ࡣ CMOS
ᅇ㊰ࡢ㈇Ⲵᐜ㔞㸪VDD ࡣ㟁※㟁ᅽ㸪fop ࡣືస࿘Ἴ
ᩘ㸪Ileak ࡣ࣮ࣜࢡ㟁ὶ࡛࠶ࡿ㸬ୖ㏙ࡢ CPU ࡢ㟁ຊࣔࢹࣝࡣ㸪ᘧ㸦5㸧ࢆࣔࢹࣝ໬ࡋࡓࡶࡢ࡛࠶ࡿ㸬a㸪
VDD㸪fop ࢆእ㒊ධຊኚᩘ࡜ࡋ㸪Cload ࡜ Ileak ࡣࣔࢹࣝෆࡢࣃ࣓࣮ࣛࢱ࡜ࡋ࡚タᐃࡍࡿࣔࢹࣝ࡜࡞ࡗ࡚࠸
ࡿ㸬ࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝ౛ࢆᅗ 14 ࡟♧ࡍ㸬ᐇ⾜㛤ጞ 30 ⛊ᚋ࡟㸪a㸪VDD㸪fop ࡢ್ࢆቑຍࡉࡏࡓ㝿ࡢ㸪CPU ࡢ ᗘ㑄⛣ࢆ⾲ࡋ࡚࠸ࡿ㸬ᐇ㝿ࡢ CPU࡛ࡣ㸪ࡼࡾ㢖⦾࡟ a㸪VDD㸪fop ࡢ್ࡀኚ໬ࡍࡿ㸬ࡲࡓ㸪Cload ࡜ Ileak ࡣᐇ㝿࡟ࡣ㟁ᅽ౫Ꮡᛶࡸ ᗘ౫Ꮡᛶࢆ᭷ࡍࡿࡀ㸪ࡇࡢࣔࢹ࡛ࣝࡣᅛᐃ್࡜ࡋ࡚࠸ࡿ㸬ࡇࡢࡼ࠺࡟ࣔࢹࣝ໬࡟ࡣ⮬⏤ᗘࡀ࠶ࡿ㸬ࡇࡢࡼ࠺
࡞₇⩦ࢆ㏻ࡌ࡚㸪ᩍ⛉᭩ࡸㅮ⩏㈨ᩱࢆ㬼࿐ࡳ࡟ࡍࡿࡢ࡛ࡣ࡞ࡃ㸪ࣔࢹࣝ࡜ࡣ࡝ࡢࡼ࠺࡞ࡶࡢ࠿Ẽ࡙ࡁࢆ୚࠼ࡿࡇ࡜ࡀฟ᮶ࢀࡤ㸪࡜ࡶ⪃࠼࡚࠸ࡿ㸬ᅗ 14 CPU ࡢᗘ㑄⛣౛(a) ࢩࢫࢸ࣒እほ(b) ࣇ࢓ࣥ௜ࡁࣄ࣮ࢺࢩࣥࢡ
ᅗ 15 ࢹࢫࢡࢺࢵࣉᆺࣃ࣮ࢯࢼࣝࢥࣥࣆ࣮ࣗࢱ

㸲㸬◊✲࡬ࡢ㐺⏝஦౛ ࢥࣥࣆ࣮ࣗࢱࡢ㟁Ẽ㸫⇕㐃ᡂゎᯒ ᅗ 13 ࡛♧ࡋࡓ CPU ࡢ㟁ຊࣔࢹࣝࢆᣑᙇࡋ㸪ᅗ
15 ࡟♧ࡍࢹࢫࢡࢺࢵࣉᆺࣃ࣮ࢯࢼࣝࢥࣥࣆ࣮ࣗ
ࢱࡢ┬࢚ࢿ໬࡟ྥࡅࡓ㟁Ẽ㸫⇕㐃ᡂゎᯒࢆᐇ᪋ࡋ
ࡓ[6]㸬

ఏ⇕ 2021 ᖺ 7 ᭶ᐇ㝿ࡢ࣐࢖ࢡࣟࣉࣟࢭࢵࢧࡣ㸪CPU ࢆ」ᩘᦚ㍕ࡍࡿ௚㸪ෆ㒊ࣂࢫࡸ࣓ࣔࣜ࢖ࣥࢱ࣮ࣇ࢙࢖ࢫ➼ࡶෆⶶࡋ࡚࠾ࡾ㸪ࡑࢀࡽࡢᾘ㈝㟁ຊࢆࣔࢹࣝ໬ࡍࡿᚲせࡀ࠶ࡿ㸬CPU ࡟୍ᐃࡢ㧗㈇Ⲵࡀ࠿࠿ࡗࡓ㝿ࡢ࣐࢖ࢡࣟࣉࣟࢭࢵࢧ඲యࡢᾘ㈝㟁ຊࡣ㸪- 56 -J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE

PMicroprocessor

2

c1VDD  c2 VDD f opࠉࠉ
 c3 VDD  c4 TJ2  c5TJ  c6 VDD

㸦6㸧

ࠉࠉ
 c7
ࡢࡼ࠺࡟ࣔࢹࣝ໬࡛ࡁࡿ㸬㈇Ⲵᐜ㔞 Cload ࡢ㟁ᅽ౫Ꮡᛶ㸪࣮ࣜࢡ㟁ὶ Ileak ࡢ㟁ᅽཬࡧ ᗘ౫Ꮡᛶࢆ⪃៖ࡋࡓࣔࢹ࡛ࣝ࠶ࡿ㸬ࡇࡇ࡛㸪TJ ࡣࢪࣕࣥࢡࢩࣙࣥ ᗘ㸪c1㹼c7 ࡣಀᩘ࡛࠶ࡿ㸬࣐࢖ࢡࣟࣉࣟࢭࢵ
ࢧࡢᾘ㈝㟁ຊ࡟ࡣಶయᕪࡀ࠶ࡿࡓࡵ㸪ࡇࢀࡽࡢಀᩘࡣᐇ ⤖ᯝ࠿ࡽồࡵࡿ㸬ࡲࡓ㸪࣐࢖ࢡࣟࣉࣟࢭ
ࢵࢧࡣ㸪ᑓ⏝ࡢ㟁※ EPS12V ࠿ࡽ㟁ຊ౪⤥ࢆཷࡅࡿ㸬EPS12V ࡣ㸪MOS ࢺࣛࣥࢪࢫࢱࡢࢫ࢖ࢵࢳࣥ
ࢢືస࡟ࡼࡾ㟁ຊࢆ౪⤥ࡍࡿࡀ㸪ࢫ࢖ࢵࢳࣥࢢື
స࡟ࡣᦆኻࡀ࠶ࡾ㸪ࡑࡢᙳ㡪ࡶຍ࿡ࡋࡓࣔࢹࣝ໬ࡀᚲせ࡛࠶ࡿ㸬ᅗ 16 ࡟ ᗘ౫Ꮡᛶࢆ᭷ࡍࡿ࣐࢖ࢡ
ࣟࣉࣟࢭࢵࢧཬࡧ EPS12V ࡢᾘ㈝㟁ຊ≉ᛶࢆ♧ࡍ㸬ᗘ౫Ꮡᛶࢆ᭷ࡍࡿᾘ㈝㟁ຊࢆồࡵࡿ࡟ࡣఏ⇕⤒㊰ࡢࣔࢹࣝ໬ࡶᚲせ࡛࠶ࡿ㸬ᑐ㇟࡜ࡍࡿࢹࢫࢡ
ࢺࢵࣉᆺࣃ࣮ࢯࢼࣝࢥࣥࣆ࣮ࣗࢱ࡛ࡣ㸪࣐࢖ࢡࣟࣉࣟࢭࢵࢧ┤ୖ࡟ࣇ࢓ࣥ௜ࡁࣄ࣮ࢺࢩࣥࢡࢆ⿦╔ࡋ࡚࠾ࡾ㸪ࣇ࢓ࣥࡢᅇ㌿ᩘ࡟ࡼࡾ㸪෭༷⬟ຊࡀኚ໬ࡍࡿ㸬ࣇ࢓ࣥࡢᅇ㌿ᩘ࡜ᾘ㈝㟁ຊ࡟ࡣ┦㛵㛵ಀࡀ࠶ࡾ㸪ᅗ 17 ࡢࡼ࠺࡟㸪ࣇ࢓ࣥࡢᾘ㈝㟁ຊ࡜ఏ⇕⤒㊰ࡢ⇕᢬ᢠࡢ㛵ಀࢆࣔࢹࣝ໬ࡍࡿࡇ࡜ࡀ࡛ࡁࡿ㸬ᅗ 16 ࡜ᅗ 17 ࡢࣔࢹࣝࢆ⤌ࡳྜࢃࡏࡓ㟁Ẽ㸫⇕㐃ᡂࣔࢹࣝࢆᅗ 18 ࡟♧ࡍ㸬ୖ㏙ࡢࡼ࠺࡟㸪࣐࢖ࢡࣟࣉࣟࢭࢵࢧࡸ EPS12V ࡢᾘ㈝㟁ຊ࡟ࡣ ᗘ౫Ꮡᛶࡀ࠶ࡾ㸪ࣇ࢓ࣥࡢᾘ㈝㟁ຊ࡜ࡇࢀࡽࡢᾘ㈝㟁ຊࡣ཯ẚ౛ࡢ㛵ಀ࡟࠶ࡿ㸬ࡑࡢࡓࡵ㸪ࣇ࢓ࣥ࡟ࡣ᭱
㐺࡞ືసⅬࡀᏑᅾࡍࡿ㸬㟁Ẽ㸫⇕㐃ᡂࣔࢹࣝࢆ⏝࠸ࡿࡇ࡜࡛㸪ࢩࢫࢸ࣒ࡢ㟁ຊࢆ᭱ᑠ໬ࡍࡿࣇ࢓ࣥ
ࡢືసⅬࢆồࡵࡿࡇ࡜ࡀ࡛ࡁࡿ㸦ᅗ 19㸧㸬 &DXHU ᆺ⇕ᅇ㊰⥙ࡢࣃ࣓࣮ࣛࢱྠᐃ
㟁Ꮚᶵჾࡢ⇕タィ࡛ࡣ㸪ྂࡃ࠿ࡽ⇕ᅇ㊰⥙ἲ࡟ࡼࡿ ᗘண ࡀᐇ᪋ࡉࢀ࡚ࡁࡓ㸬㠀ᐃᖖ⇕ఏᑟ᪉⛬ᘧࡢ㛵ಀࢆ㞳ᩓ໬ࡋ㸪ศᕸᐃᩘ࡜ࡋ࡚⾲⌧ࡋࡓࡶࡢࡀᅗ 20 ࡢ Cauer ᆺ⇕ᅇ㊰⥙࡛࠶ࡿ㸬
Cauer ᆺ⇕ᅇ㊰⥙ࡣ㸪 ᗘண ࡟౑⏝࡛ࡁࡿ௚㸪ఏ⇕⤒㊰ࡢ⇕᢬ᢠ࡜⇕ᐜ㔞ࡢศᕸ≧ἣࢆྍど໬ࡍࡿࢶ࣮ࣝ࡜ࡋ࡚ࡶ฼⏝࡛ࡁࡿ㸬ࡓࡔࡋ㸪⇕᢬ᢠ࡜⇕ᐜ㔞ࡢศᕸࢆ▱ࡿ࡟ࡣ㸪 ᗘ ᐃ⤖ᯝ࠿ࡽఏ⇕⤒㊰ྛᡤ࡟࠶ࡿ⇕᢬ᢠ࡜⇕ᐜ㔞ࢆྠᐃࡍࡿᚲせࡀ࠶ࡿ㸬ࡘࡲࡾ㸪 ᗘ ᐃ⤖ᯝࢆ┿࡜ࡋ࡚㸪ࡑࢀ࡟㏆࠸ ᗘ㑄⛣ࢆ෌⌧ࡍࡿ⇕᢬ᢠ࡜⇕ᐜ㔞ࡢ್ࢆồఏ⇕ 2021 ᖺ 7 ᭶- 57 -

ᅗ 16 ࣐࢖ࢡࣟࣉࣟࢭࢵࢧཬࡧ EPS12V   ࡢᾘ㈝㟁ຊࡢ ᗘ౫Ꮡᛶ
ᅗ 17 ࣇ࢓ࣥᾘ㈝㟁ຊ࡜ఏ⇕⤒㊰⇕᢬ᢠࡢ㛵ಀᅗ 18 㟁ຊࣔࢹࣝ࡜ఏ⇕⤒㊰ࣔࢹࣝࢆ⤌ࡳ   ྜࢃࡏࡓ㟁Ẽ㸫⇕㐃ᡂࣔࢹࣝᅗ 19 ᾘ㈝㟁ຊࢆ᭱ᑠ໬ࡍࡿࣇ࢓ࣥືసⅬ᥈⣴ࡵࡿࡇ࡜࡛ఏ⇕⤒㊰ࢆ⾲⌧ࡍࡿ[7, 8]㸬
OpenModelica ࡣ㸪Cauer ᆺ⇕ᅇ㊰⥙ࢆẚ㍑ⓗ⡆J. HTSJ, Vol. 60, No. 252

≉㞟㸸࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAE༢࡟ࣔࢹࣝ໬࡛ࡁ㸪ࡉࡽ࡟ᅗ 21 ࡟♧ࡍࢫࢡࣜࣉࢺ
࡟ࡼࡿࣂࢵࢡࢢࣛ࢘ࣥࢻᐇ⾜ࡶࢧ࣏࣮ࢺࡋ࡚࠸ࡿ㸬ࡑࡢࡓࡵ㸪SciPy[9]㸪Optuna[10]➼ࡢ Python ࣔࢪ࣮ࣗࣝ࡜⤌ࡳྜࢃࡏࡿࡇ࡜࡛㸪ఏ⇕⤒㊰ྛᡤ࡟࠶ࡿ
⇕᢬ᢠ࡜⇕ᐜ㔞ࢆྠᐃࡍࡿࡓࡵࡢ᭱㐺໬ࢆ⾜࠺ࡇ࡜ࡶྍ⬟࡛࠶ࡿ㸬ᅗ 22 ࡟♧ࡍ⾲㠃ᐇ⿦ᆺࣃࢵࢣ࣮
ࢪࢆ᥇⏝ࡋࡓ MOS ࢺࣛࣥࢪࢫࢱࢆᦚ㍕ࡋࡓ 2 ࡘࡢࢸࢫࢺᇶᯈࡢఏ⇕⤒㊰࡟ࡘ࠸࡚㸪64 ẁࡢ Cauerᆺ⇕ᅇ㊰⥙ࢆ⏝࠸࡚᭱㐺໬ࢆ⾜࠺࡜㸪ᅗ 23 ࡢࡼ࠺࡟࡞ࡿ[8]㸬୧⪅ࡣ㖡ࣃࢵࢻࢧ࢖ࢬࡢࡳ␗࡞ࡿᇶᯈ
࡛࠶ࡿࡀ㸪ࡑࡢᙳ㡪࡟ࡼࡿ⇕᢬ᢠ࡜⇕ᐜ㔞ࡢศᕸࡢ㐪࠸ࡀぢ࡚ྲྀࢀࡿ㸬㸳㸬࠾ࢃࡾ࡟
ᮏ✏࡛ࡣ㸪OpenModelica ࡟ࡘ࠸࡚⤂௓ࡍࡿ࡜࡜
ࡶ࡟㸪኱Ꮫ࡛ࡢᩍ⫱ཬࡧ◊✲࡬ࡢ㐺⏝஦౛࡟ࡘ࠸
࡚⤂௓ࡋࡓ㸬ࡇࡢグ஦ࢆࡁࡗ࠿ࡅ࡟᪂ࡓ࡞࣮ࣘࢨ
ࡀ⏕ࡲࢀ㸪ᅜෆ࡛ࡢ࣮ࣘࢨࢥ࣑ࣗࢽࢸ࢕ࡢάᛶ໬㸪ࡉࡽ࡟ Modelica㸪OpenModelica ࢆά⏝ࡋࡓ◊✲᥎㐍࡟⧅ࡀࢀࡤᖾ࠸࡛࠶ࡿ㸬ཧ⪃ᩥ⊩[1] OpenModelica, https://www.openmodelica.org/(Accessed on 2021/4/30).
[2] Modelica® - A Unified Object-Oriented
Language for Systems Modeling Language
Specification, Version 3.5, Modelica Association(2021).
[3] Modelica Standard Library,https://github.com/modelica/ModelicaStandardLibrary (Accessed on 2021/4/30).

loadModel(Modelica);
loadFile("D:/folder/TestModel.mo");buildModel(TestModel);system("C:/㸦㏵୰┬␎㸧/TestModel-override㸦㏵୰┬␎㸧-r=result_res.mat");result :=val(result, 100, "result_res.mat");writeFile(㏵୰┬␎);
quit();
ᅗ 21 OpenModelica ࡢࢫࢡࣜࣉࢺグ㏙࢖࣓࣮ࢪ

(a) ࢸࢫࢺᇶᯈ A(b) ࢸࢫࢺᇶᯈ Bᅗ 22 MOS ࢺࣛࣥࢪࢫࢱࢆᦚ㍕ࡋࡓࢸࢫࢺᇶᯈ

[4] ᮎḟṇ㸪ᇼᑿ႐ᙪ㸪㟁Ꮚᅇ㊰ᇶ♏ࣀ࣮ࢺ㸪ࢥࣟࢼ♫ (2011)㸬
[5] す๛ఛ㸪࣐࢖ࢡࣟࣉࣟࢭࢵࢧࡢࢲ࢖࿘ࡾࡢ㠀ᐃᖖ⇕ఏᑟࢩ࣑࣮ࣗࣞࢩࣙࣥ㸪᪥ᮏఏ⇕Ꮫ఍ㄽᩥ㞟㸪20-2 (2012) 27.
[6] K. Nishi, S. Takada and T. Kaneda, “Power andTemperature Prediction for Computer System
Power Optimization”, Asian Modelica Conference2020 - Virtual (2020) S4-3.
[7] K. Nishi, “Investigation Regarding Thermal
Resistance of Surface Mount Type Discrete Power
Semiconductor Package”, InterPACK2020 (2020)
InterPack-2631.

ఏ⇕ 2021 ᖺ 7 ᭶

ᅗ 20 Cauer ᆺ⇕ᅇ㊰⥙ᅗ 23 ⇕᢬ᢠ࡜⇕ᐜ㔞ࡢศᕸ[8] す๛ఛ㸪⾲㠃ᐇ⿦ᆺࣃ࣮༙࣡ᑟయࣃࢵࢣ࣮ࢪ
ࡢ⇕ゎᯒࣔࢹࣝ໬࡟ྥࡅࡓ⇕࢖ࣥࣆ࣮ࢲࣥࢫ
࡟㛵ࡍࡿ◊✲㸪➨ 58 ᅇ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘
(2021) C313.
[9] SciPy, https://www.scipy.org/scipylib/index.html(Accessed on 2021/4/30).
[10] Optuna,
https://optuna.org/(Accessedon2021/4/30).

- 58 -J. HTSJ, Vol. 60, No. 252

᭩⡠⤂௓

ࠕJSME SERIES IN THERMAL AND NUCLEAR
POWER GENERATIONࠖⓎหࡢ࠾▱ࡽࡏ
Notice of publication of "JSME SERIES IN THERMAL AND
NUCLEAR POWER GENERATION"

Volume 1

Volume 2

Volume 5ᮌᡞཱྀ ࿴ᾈ㸦㟁ຊ୰ኸ◊✲ᡤ㸧
Kazuhiro KIDOGUCHI (Central Research Institute of Electric Power Industry)e-mail: kidoguti@criepi.denken.or.jp࣮ࢱ࡜࡜ࡶ࡟ヲ⣽࡟ㄝ᫂ࡋ࡚࠸ࡲࡍ㸬ⴭ⪅ࡽࡢ㇏ᐩ࡞⤒㦂࡜▱㆑ࢆᇶ࡟㸪᭱㏆ࡢ㧗ᗘ࡞ᢏ⾡ࢆグ㍕
ࡋ㸪」ྜࢧ࢖ࢡࣝ㸪USC㸪A-USC㸪ࡉࡽ࡟ࡣ PFBC㸪IGCC ࡞࡝㸪ࡉࡲࡊࡲ࡞ࢩࢫࢸ࣒࡟ࡘ࠸࡚⤂௓ࡋ࡚࠸ࡲࡍ㸬ⅆຊⓎ㟁࡟㛵ࡍࡿ⎔ቃᙳ㡪㸪࣓ࣥࢸࢼࣥࢫ㸪つไ㸪࠾ࡼࡧᇶ‽ࢆ඲య࡟ࢃࡓࡗ࡚⪃៖ࡋ㸪෗┿ࡸᅗ㠃ࢆᥖ㍕ࡋ࡚࠸ࡿࡇ࡜࡛㸪⇕ᕤᏛศ㔝࡟㛵ࢃࡿࡍ࡭࡚ࡢேࡢཧ⪃࡟࡞ࡾࡲࡍ㸬https://www.elsevier.com/books/advances-in-power-b
oilers/ozawa/978-0-12-820360-6୍⯡♫ᅋἲே᪥ᮏᶵᲔᏛ఍ືຊ࢚ࢿࣝࢠ࣮ࢩࢫ
ࢸ࣒㒊㛛࡛ࡣ㸪㒊㛛タ❧ 30 ࿘ᖺグᛕ௻⏬஦ᴗ࡜ࡋ࡚㸪⌧ᅾ࡟⮳ࡿࡲ࡛ࡢᡃࡀᅜࢆ୰ᚰ࡜ࡋࡓⅆຊ࠾ࡼࡧཎᏊຊⓎ㟁ᢏ⾡ࡢ㐍ᒎࢆⴭࡋ㸪᫖௒ࡢືຊ࢚
ࢿࣝࢠ࣮ศ㔝࡟࠾ࡅࡿືࡁ࡟ᑐࡍࡿ௒ᚋ࡬ࡢഛ࠼
ࡢ୍ຓ࡜࡞ࡿࡇ࡜ࢆ㢪࠸㸪Elsevier ♫࠿ࡽ඲ 8 ᕳ࡟ ࢃ ࡓ ࡿ ࠗ JSME SERIES IN THERMAL AND
NUCLEAR POWER GENERATION࠘㸦ὒ᭩㸧ࡢⓎ⾜௻⏬ࢆ㐍ࡵ࡚࠾ࡾࡲࡍ㸬ࡇࡢᗘ㸪8 ᕳࡢ࠺ࡕࡢ 3
ᕳࢆⓎหࡋࡲࡋࡓࡢ࡛㸪࠾▱ࡽࡏࡉࡏ࡚࠸ࡓࡔࡁ
ࡲࡍ㸬ᮏࢩ࣮ࣜࢬࡣ㸪ཎᏊຊ࠾ࡼࡧ⇕࢚ࢿࣝࢠ࣮
ᕤᏛࡢ◊✲⪅㸪ᑓ㛛ᢏ⾡⪅㸪࡞ࡽࡧ࡟Ⓨ㟁㸪≉࡟ཎᏊຊ㸪⇕ຊᏛࢆᏛࡪ኱Ꮫ㝔⏕㸪኱Ꮫ⏕࡟࡜ࡗ࡚㈗㔜࡞㈨ᩱ࡟࡞ࡾࡲࡍ㸬‫ۼ‬9ROXPH㸸)XQGDPHQWDOVRI7KHUPDODQG
1XFOHDU3RZHU*HQHUDWLRQⅆຊⓎ㟁࡜ཎᏊຊⓎ㟁ࡢṔྐࢆゎㄝࡋ࡚࠾ࡾ㸪volume 2 ௨㝆ࢆㄞࡴ࡟࠶ࡓࡗ࡚ࡢᇶ♏▱㆑ࢆᏛ࡭ࡲࡍ㸬⇕ຊᏛ㸪ὶయຊᏛ㸪⇕ᕤᏛ㸪⇞↝ᕤᏛ㸪࠾ࡼࡧ᰾≀⌮Ꮫࡢᇶ♏࡟ᇶ࡙࠸࡚㸪᭱᪂ࡢⅆຊ࠾ࡼࡧཎᏊຊⓎ㟁ࢩࢫࢸ࣒㸪࡞ࡽࡧ࡟ᢏ⾡ࡀ⌮ゎ࡛ࡁࡲࡍ㸬Ⓨ㟁ࢩࢫࢸ࣒࡟㛵ࡍࡿ⇞ᩱ౪⤥㸪᤼ฟ≀㸪஦ᨾࣜࢫࢡࢆ⪃៖ࡋ㸪ᣢ⥆ྍ⬟ᛶࡢࡳ࡞ࡽࡎ㸪ࡇࢀࡽࡢᢏ⾡ࡀ♫఍࡟୚࠼ࡿᙳ㡪࡟ࡘ࠸࡚ゎㄝࡋ࡚࠸ࡲࡍ㸬
https://www.elsevier.com/books/fundamentals-of-thermal-and-nuclear-power-generation/koizumi/978-0-12820733-8

࣭⦅ⴭ㸸ᑠ⃝ Ᏺ㸪ὸ㔝 ➼࣭Ⓨ⾜ᖺ᭶᪥㸸2021 ᖺ 1 ᭶ 29 ᪥࣭࣮࣌ࢪᩘ㸸508 ࣮࣌ࢪ‫ۼ‬9ROXPH㸸+LJK7HPSHUDWXUH*DVFRROHG
5HDFWRUV㧗 ࢞ ࢫ ⅔ 㸦 HTGR 㸸 High-Temperature Gas
Reactor㸧ࡢṔྐ㸪࠾ࡼࡧ㛤Ⓨ࡜฼⏝࡟㛵ࡍࡿ᭱᪂ࡢ◊✲ࢆ⤂௓ࡋ࡚࠸ࡲࡍ㸬⅔ᚰタィ㸪෭༷ሪタィ㸪ᅽຊᐜჾタィ㸪I㸤C ಀᩘ㸪Ᏻ඲タィ࡞࡝㸪HTGR
ࡢタィ࡟㛵ࡋ࡚ヲ⣽࡟ゎㄝࡋ࡚࠸ࡲࡍ㸬ཎᏊຊⓎ㟁ࣉࣛࣥࢺ࡜ࡋ࡚㧗ຠ⋡ⓗ࡛Ᏻ඲࡞ HTGR ࢆ㛤Ⓨࡍࡿ᪉ἲࢆ⌮ゎࡍࡿࡇ࡜ࡀ࡛ࡁࡲࡍ㸬https://www.elsevier.com/books/high-temperature-gas-cooled-reactors/takeda/978-0-12-821031-4
࣭⦅ⴭ㸸Ṋ⏣ ဴ᫂㸪✄ᇉ ჆அ
࣭Ⓨ⾜ᖺ᭶᪥㸸2021 ᖺ 2 ᭶ 26 ᪥࣭࣮࣌ࢪᩘ㸸478 ࣮࣌ࢪ࠸ࡎࢀࡢ volume ࡶᐃ౯ࡣ US$ 200.00㸦᭩⡠∧࣭㟁Ꮚ∧㸧࡛㸪๓グࡢ Elsevier ♫ࡢ HP ࡞࡝࡛㉎ධ࡛ࡁࡲࡍ㸬࡞࠾㸪Volume 3:PWR (Pressurized Water Reactors)㸪
Volume 4:BWR (Boiling Water Reactors)㸪Volume 6:
FBR (Fast Breeder Reactors)㸪Volume 7&8: PHWR
(Pressurized Heavy Water Reactors)㸦࠸ࡎࢀࡶ௬㢟㸧࡟ࡘ࠸࡚ࡣ㸪௒ኟ௨㝆࡟㡰ḟⓎหࡍࡿணᐃ࡛ࡍ㸬࣭⦅ⴭ㸸ᑠἨ Ᏻ㑻㸪኱ᕝ ᐩ㞝㸪᳃ ᫀྖ
࣭Ⓨ⾜ᖺ᭶᪥㸸2021 ᖺ 1 ᭶ 29 ᪥࣭࣮࣌ࢪᩘ㸸320 ࣮࣌ࢪ‫ۼ‬9ROXPH㸸$GYDQFHVLQ3RZHU%RLOHUV⣙ 300 ᖺ࡟ࢃࡓࡿⓎ㟁⏝࣎࢖ࣛࡢ㛤Ⓨࣉࣟࢭࢫࢆゎㄝࡋ࡚࠾ࡾ㸪ⅆຊⓎ㟁ࡢᇶ♏ࢆᏛࡪࡇ࡜ࡀ࡛
ࡁࡿ࡜࡜ࡶ࡟㸪タィࡢཎ๎࡜᪉ἲㄽ㸪࡞ࡽࡧ࡟Ⓨ㟁࣎࢖ࣛࡢᵓ㐀㸪᧯స㸪ไᚚ࡟ࡘ࠸࡚㸪ᐇ㝿ࡢࢹఏ⇕ 2021 ᖺ 7 ᭶- 59 -J. HTSJ, Vol. 60, No. 252

⾜஦࢝ࣞࣥࢲ࣮
ᮏ఍୺ദ⾜஦
㛤ദ᪥
2021 ᖺ
9᭶
7(ⅆ)
ࠥ
10(㔠)
10 ᭶

3(᪥)
ࠥ
7(ᮌ)

⾜஦ྡ

2022 ᖺ
3᭶

ཎ✏⥾ษ

ၥྜඛ

ኴ㝧࢚ࢿࣝࢠ࣮ᅜ㝿ࢩ࣏ࣥࢪ࣒࢘
㸦11th SOLARIS㸧➨ 11 ᅇኴ㝧࢚ࢿࣝࢠ࣮ᅜ㝿ࢩ࣏ࣥࢪ࣒࢘ᐇ⾜ጤဨ఍matsu@eng.niigata-u.ac.jp࢔ࢪ࢔⇕⛉Ꮫ఍㆟
㸦2nd ACTS㸧

ACTS2020 ᐇ⾜ጤဨ఍
secretary@acts2020jp.org

ᮏ఍ඹദ㸪༠㈶㸪ᚋ᥼⾜஦㛤ദ᪥⾜஦ྡ2021 ᖺ
7᭶
26(᭶)➨ 25 ᅇືຊ࣭࢚ࢿࣝࢠ࣮ᢏ⾡ࢩ࣏ࣥ
ࠥ
ࢪ࣒࢘
27(ⅆ)
8᭶
22(᪥)
᪥ᮏΰ┦ὶᏛ఍ΰ┦ὶࢩ࣏ࣥࢪ࣒࢘
2021
ࠥ
24(ⅆ)
25(Ỉ)
᪥ᮏᐇ㦂ຊᏛ఍ 2021 ᖺᗘᖺḟㅮ₇఍
ࠥ
27(㔠)
9᭶
21(ⅆ)
᪥ᮏὶయຊᏛ఍ ᖺ఍ 2021
ࠥ
23(ᮌ)
10 ᭶
13(Ỉ)
➨ 48 ᅇ᪥ᮏ࢞ࢫࢱ࣮ࣅࣥᏛ఍ᐃᮇㅮ
ࠥ
₇఍
14(ᮌ)
The 16th International Symposium on
11 ᭶
3(Ỉ)
Advanced Science and Technology
ࠥin Experimental Mechanics
6(ᅵ)
19(㔠)
⬺Ⅳ⣲♫఍ᐇ⌧࡟ྥࡅࡓ෌࢚ࢿ฼⏝ࢩࢫࢸ࣒ࡢ◊✲㛤Ⓨ࡟㛵ࡍࡿㅮ₇఍
12 ᭶

⏦㎸⥾ษ

⏦㎸⥾ษ

ཎ✏⥾ษ

ၥྜඛ

ᥖ㍕ྕ

㸦୍♫㸧᪥ᮏᶵᲔᏛ఍⥲ྜ௻⏬ G᳃ᮏ࠶࠿ࡡ morimoto@jsme.or.jp᪥ᮏΰ┦ὶᏛ఍
office@jsmf.gr.jp᪂₲኱Ꮫ་Ꮫ㒊ಖ೺Ꮫ⛉ෆ ᪥ᮏᐇ㦂ຊᏛ఍஦ົᒁ ᢸᙜ㸸ᑠᯘ TEL: 025-368-9310/FAX: 025368-9309 E-mail: office-jsem@clg.niigata-u.ac.jp㸦୍♫㸧ὶయຊᏛ఍஦ົᒁ
Tel:03-3714-0427
E-mail: jsfm@fr7.so-net.ne.jp㸦බ♫㸧᪥ᮏ࢞ࢫࢱ࣮ࣅࣥᏛ఍
E-mail: gtsj-office@gtsj.org᪂₲኱Ꮫ་Ꮫ㒊ಖ೺Ꮫ⛉ෆ ᪥ᮏᐇ㦂ຊᏛ఍஦ົᒁ ᢸᙜ㸸ᑠᯘ TEL: 025-368-9310/FAX: 025368-9309 E-mail: office-jsem@clg.niigata-u.ac.jp୕㔜኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉ᶵᲔᕤᏛᑓᨷすᮧ 㢧 E-mail: nisimura@mach.mie-u.ac.jp

4(ᅵ)

21-52 ➨ 23 ᅇࢫࢱ࣮ࣜࣥࢢࢧ࢖ࢡࣝ
ࢩ࣏ࣥࢪ࣒࢘

㸦୍♫㸧᪥ᮏᶵᲔᏛ఍࢚ࣥࢪࣥࢩࢫࢸ࣒㒊㛛஦ົᢸᙜ ኱➉ⱥ㞝otake@jsme.or.jp

19(ᅵ)
ࠥ
21(᭶)

32nd International Symposium on
Transport Phenomena (ISTP32)

ISTP32 ᐇ⾜ጤဨ఍ጤဨ㛗Ᏹ㧗⩏㑻utaka@ynu.ac.jp

ఏ⇕ 2021 ᖺ 7 ᭶

ᥖ㍕ྕ

- 61 -J. HTSJ, Vol. 60, No. 252࠾▱ࡽࡏබ┈♫ᅋἲே᪥ᮏఏ⇕Ꮫ఍➨ 59 ᮇ䠄2020 ᖺᗘ䠅⥲఍㆟஦㘓

1.

᪥㻌 ᫬

2021 ᖺ 5 ᭶ 26 ᪥䠄Ỉ䠅17:10䡚17:40

2.

᪉㻌 ἲ

䝡䝕䜸఍㆟䠄Cisco Webex 䜢฼⏝䠅

3.

ṇ఍ဨᩘ

997 ྡ

4.

ฟᖍ⪅

516 ྡ䠄䛖䛱䝡䝕䜸఍㆟ฟᖍ⪅ 99 ྡ䠈ጤ௵≧ฟᖍ 417 ྡ䠅䠊ᐃḰ➨ 29 ᮲䛾ᐃ䜑䜛䛸䛣䜝䛻䜘䜚䠈䛣䜜䛿ᐃ㊊ᩘ䛷䛒䜛ṇ఍ဨᩘ䛾㐣༙ᩘ䠄499 ྡ䠅䜢ୖᅇ䜚䠈⥲఍䛿ᡂ❧䛧䛯䠊

5.

㆟஦⤒㐣
ᐃḰ➨ 27 ᮲䛻䜘䜚ⰼᮧඞᝅ఍㛗䛜㆟㛗䛸䛺䜚䠈௨ୗ䛾㆟᱌䛻䛴䛔䛶㏲ḟᑂ㆟䛧䛯䠊➨ 1 ྕ㆟᱌㻌 ➨ 59 ᮇ䠄2020 ᖺᗘ䠅஦ᴗሗ࿌䛾௳㆟㛗䜘䜚䠈බ┈♫ᅋἲே᪥ᮏఏ⇕Ꮫ఍➨ 59 ᮇ䠄2020 ᖺᗘ䠅⥲఍㆟᱌䠄௨ୗ䠈䛂⥲఍㆟᱌䛃䛸࿧䜆䠅䛾➨ 1 ྕ㆟᱌➨ 59 ᮇ䠄2020 ᖺᗘ䠅஦ᴗሗ࿌䛻䛴䛔䛶ㅎ䜚䠈඲఍୍⮴䛷䛣䜜䜢ྍỴ䛧䛯䠊➨ 2 ྕ㆟᱌㻌 ➨ 59 ᮇ䠄2020 ᖺᗘ䠅఍ົሗ࿌䛾௳㆟㛗䜘䜚䠈⥲఍㆟᱌䛾➨ 2 ྕ㆟᱌➨ 59 ᮇ䠄2020 ᖺᗘ䠅఍ົሗ࿌䛻䛴䛔䛶ㅎ䜚䠈඲఍୍⮴䛷䛣䜜䜢ྍỴ䛧䛯䠊
➨ 3 ྕ㆟᱌㻌 ➨ 59 ᮇ䠄2020 ᖺᗘ䠅཰ᨭỴ⟬䛾௳㆟㛗䜘䜚䠈⥲఍㆟᱌䛾➨ 3 ྕ㆟᱌➨ 59 ᮇ䠄2020 ᖺᗘ䠅཰ᨭỴ⟬䛻䛴䛔䛶ㅎ䜚䠈඲఍୍⮴䛷䛷䛣䜜䜢ྍỴ䛧䛯䠊
➨ 4 ྕ㆟᱌㻌 ➨ 60 ᮇ䠄2021 ᖺᗘ䠅ᙺဨ䞉༠㆟ဨ㑅ฟ䛾௳㆟㛗䜘䜚䠈⥲఍㆟᱌䛾➨ 4 ྕ㆟᱌➨ 60 ᮇ䠄2021 ᖺᗘ䠅ᙺဨ䛾㑅ฟ䛻䛴䛔䛶䠈௨ୗ䛾䛸䛚䜚ḟᮇᙺဨ䛾ᥦ᱌䛜䛺䛥䜜䠈඲఍୍⮴䛷䛣䜜䜢ྍỴ䛧䛯䠊ᐃḰ➨ 17 ᮲➨ 1 㡯䛻䜘䜚㏥௵䛩䜛ᙺဨ⌮஦᐀ീ㻌 㕲㞝

⌮஦

᱈ᮌ㻌 ᝅ

⌮஦

୰ᮧ㻌 ඖ

⌮஦

᭹㒊㻌 ༤ᩥ⌮஦ᯇཎ㻌 ᖾ἞⌮஦ගṊ㻌 㞝୍⌮஦ᖹ஭㻌 ⚽୍㑻┘஦ᮌᡞ㻌 㛗⏕⌮஦䠄๪఍㛗䠅

㭯⏣㻌 㝯἞

ᐃḰ➨ 17 ᮲➨ 1 㡯䛯䛰䛧᭩䛝䛻䜘䜚㏥௵䛩䜛ᙺဨ௦⾲⌮஦䠄఍㛗䠅ⰼᮧ㻌 ඞᝅ

⌮஦బ䚻ᮌ㻌 ┤ᰤఏ⇕ 2021 ᖺ 7 ᭶- 62 -J. HTSJ, Vol. 60, No. 252

࠾▱ࡽࡏ➨ 60 ᮇ䠄2021 ᖺᗘ䠅䛻᪂䛯䛻㑅௵䛥䜜䜛ᙺဨᐃḰ➨ 17 ᮲➨ 1 㡯䛻䜘䜚㑅௵䛥䜜䜛ᙺဨ⌮஦㮵ᅬ㻌 ┤Ẏ⌮஦ὠᓥ㻌 ᑗྖ⌮஦Ọ஭㻌 ஧㑻⌮஦᭹㒊㻌 ༤ᩥ⌮஦୸ᒣ㻌 ┤ᶞ⌮஦ᆏᮧ㻌 ⰾᏕ

⌮஦ఀ⸨㻌 ⾮ᖹ

┘஦

⥴᪉㻌 ᐶ

⌮஦

㧗ᯇ㻌 ὒ

ᐃḰ➨ 17 ᮲➨ 1 㡯䛯䛰䛧᭩䛝䛻䜘䜚㑅௵䛥䜜䜛ᙺဨ⌮஦᐀ീ㻌 㕲㞝⌮஦ᯈ㇂㻌 ⩏⣖➨ 5 ྕ㆟᱌㻌 ㆟஦㘓⨫ྡே㑅௵䛾௳㆟㛗䜘䜚䠈ᮏ᪥䛾㆟஦䛾⤒㐣䜢㆟஦㘓䛻䜎䛸䜑䜛䛻䛒䛯䜚䠈㆟㛗䛻ຍ䛘䛶㆟஦㘓⨫ྡே 2 ྡ䜢㑅௵䛧䛯䛔᪨䛾ᥦ᱌䛜䛒䜚䠈༠㆟䛾⤖ᯝ䠈㭯⏣㝯἞Ặ䠈᐀ീ㕲㞝Ặ䛾 2 ྡ䜢㑅௵䛧䠈඲఍୍⮴䛷䛣䜜䜢ྍỴ䛧䛯䠊
➨ 6 ྕ㆟᱌㻌 ➨ 60 ᮇ䠄2021 ᖺᗘ䠅஦ᴗィ⏬䛾௳㆟㛗䜘䜚䠈⥲఍㆟᱌䛾➨ 6 ྕ㆟᱌➨ 60 ᮇ䠄2021 ᖺᗘ䠅஦ᴗィ⏬䛻䛴䛔䛶ሗ࿌䜢⾜䛳䛯䠊➨ 7 ྕ㆟᱌㻌 ➨ 60 ᮇ䠄2021 ᖺᗘ䠅཰ᨭண⟬䛾௳㆟㛗䜘䜚䠈⥲఍㆟᱌䛾➨ 7 ྕ㆟᱌➨ 60 ᮇ䠄2021 ᖺᗘ䠅཰ᨭண⟬䛻䛴䛔䛶ሗ࿌䜢⾜䛳䛯䠊௨ୖ䛻䜘䜚䠈ᮏ᪥䛾㆟஦䜢⤊஢䛧䛯䠊
2021 ᖺ 5 ᭶ 26 ᪥බ┈♫ᅋἲே᪥ᮏఏ⇕Ꮫ఍➨ 59 ᮇ䠄2020 ᖺᗘ䠅⥲఍㆟㛗ⰼᮧ㻌 ඞᝅ㻌༳㆟஦㘓⨫ྡே

㭯⏣㻌 㝯἞㻌༳㆟஦㘓⨫ྡே᐀ീ㻌 㕲㞝㻌༳ఏ⇕ 2021 ᖺ 7 ᭶- 63 -J. HTSJ, Vol. 60, No. 252࠾▱ࡽࡏ

2021 ᖺᗘ ᪥ᮏఏ⇕Ꮫ఍ Ꮫ⾡㈹࣭ᢏ⾡㈹࣭㈉⊩㈹࣭ዡບ㈹ೃ⿵⪅᥎⸀ເ㞟ࡢ࠾▱ࡽࡏ ᪥ᮏఏ⇕Ꮫ఍࡛ࡣ㸪ᮏᖺᗘࡶྛ㈹ࡢ⾲ᙲࢆᐇ᪋ࡋࡲࡍ㸬ࡘࡁࡲࡋ࡚ࡣ㸪ୗグࡢせ㡿࡟ᚑࡗ࡚ᮏᖺᗘࡢᏛ⾡㈹㸪ᢏ⾡㈹㸪㈉⊩㈹࠾ࡼࡧዡບ㈹ࡢೃ⿵⪅᥎⸀ࢆເ㞟ࡋࡲࡍࡢ࡛㸪⮬⸀㸪௚⸀ࢆၥࢃࡎ㸪ከᩘࡈᛂເୗࡉ࠸㸬㸯㸬ᑐ㇟࡜࡞ࡿᴗ⦼㸦㸯㸧 Ꮫ⾡㈹ࡢᑐ㇟ࡣ㸪ཎ๎࡜ࡋ࡚㸪᭱㏆ 3 ᖺ㛫ࡢ Thermal Science and Engineering ㄅࡲࡓࡣ Journal of
Thermal Science and Technology ㄅ࡟ᥖ㍕ࡉࢀࡓ㸪࠶ࡿ࠸ࡣ㸪᭱㏆ 5 ᅇࡢ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟࠾࠸
࡚Ⓨ⾲ࡉࢀ㸪ᅜෆእ࡛ᑂᰝࡢ࠶ࡿᏛ⾡ㄽᩥ㞟࡟ᥖ㍕ࡉࢀࡓఏ⇕࡟㛵ࡍࡿඃ⚽࡞◊✲ࢆ୺యⓗ࡟⾜ࡗࡓ◊✲⪅࡜ࡑࡢඹྠ◊✲⪅࡜ࡋࡲࡍ㸬࡞࠾㸪ཷ㈹ᑐ㇟◊✲ㄢ㢟ྡࡣ㸪ᚲࡎࡋࡶㄽᩥ㢟┠࡜ཝᐦ࡟୍
⮴ࡍࡿᚲせࡣ࠶ࡾࡲࡏࢇ㸬㸦㸰㸧 ᢏ⾡㈹ࡢᑐ㇟ࡣ㸪බ⾲ࡉࢀࡓඃ⚽࡞ఏ⇕ᢏ⾡ࢆ㛤Ⓨࡋࡓ⪅࡜ࡋࡲࡍ㸬㸦㸱㸧㈉㈉⊩㈹ࡢᑐ㇟ࡣ㸪ᮏᏛ఍ࡀ୺ദࡍࡿ஦ᴗࡢᐇ᪋࡟࠾࠸࡚㸪㢧ⴭ࡞㈉⊩ࢆ⾜ࡗࡓ఍ဨ࡜ࡋࡲࡍ㸬㸦㸲㸧 ዡບ㈹ࡢᑐ㇟ࡣ㸪ཎ๎࡜ࡋ࡚㸪᭱㏆ 2 ᅇࡢ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘࡟࠾࠸࡚ඃ⚽࡞ㄽᩥࢆⓎ⾲ࡋࡓⱝᡭ◊✲⪅࡛㸪Ⓨ⾲᫬࡟኱Ꮫ㝔⏕㸪ࡲࡓࡣࡇࢀ࡟‽ࡌࡿ⪅㸦኱Ꮫ༞ᴗᚋ 5 ᖺ௨ෆࡢ⪅㸧࡜ࡋࡲࡍ㸬㸦㸳㸧 Ꮫ⾡㈹࠾ࡼࡧዡບ㈹ࡢᑐ㇟㈨᱁ࡣ㸪ཎ๎࡜ࡋ࡚ᮏᏛ఍఍ဨ࡟㝈ࡾࡲࡍ㸬
㸦㸴㸧 ㉗㈹ᩘࡣ㸪Ꮫ⾡㈹ 2 ௳⛬ᗘ㸪ᢏ⾡㈹ 1 ௳⛬ᗘ㸪㈉⊩㈹ 2 ྡ⛬ᗘ㸪ዡບ㈹ 4 ௳⛬ᗘ࡜ࡋࡲࡍ㸬㸰㸬㑅⪃᪉ἲ㸦㸯㸧 ࠕᏛ఍㈹࡟㛵ࡍࡿෆつࠖ࡟ᐃࡵࡿ㈹ࡢෆ㸪ୖ㡯࡟グ㍕ࡢྛ㈹ࡣ㸪ࠕ⾲ᙲ㑅⪃ጤဨ఍ࠖࡀࠕᏛ఍㈹ࡢ
ᑂᰝ࣭㑅⪃᪉ἲෆつࠖ࡟ᇶ࡙࠸࡚㑅⪃ࡋࡲࡍ㸬㸦㸰㸧 ⾲ᙲ㑅⪃ጤဨ఍ࡣ㸪බເࡢ௚࡟㸪ྛ㈹ࡢೃ⿵ࢆ᥎⸀ࡍࡿࡇ࡜ࡀฟ᮶ࡿࡶࡢ࡜ࡋࡲࡍ㸬㸱㸬ᥦฟ᭩㢮㸦㸯㸧 ⏦ㄳ᭩࣭᥎⸀᭩࣭ ⏦ㄳ᭩࣭᥎⸀᭩ࡢ᭩ᘧࡣ㸪ᮏᏛ఍࣮࣒࣮࣍࣌ࢪ࠿ࡽࢲ࣮࢘ࣥࣟࢻࡋ࡚ࡈ౑⏝ୗࡉ࠸㸬࣭ Ꮫ⾡㈹㸪ᢏ⾡㈹㸪㈉⊩㈹㸪ዡບ㈹ࡑࢀࡒࢀ࡟⏦ㄳ᭩࣭᥎⸀᭩ࡢ᭩ᘧࡀ␗࡞ࡾࡲࡍࡢ࡛㸪ࡈὀពୗࡉ࠸㸬㸦㸰㸧 ㄽᩥᢤๅࡲࡓࡣᢏ⾡ෆᐜཧ⪃㈨ᩱ㸦㈉⊩㈹௨እࡢ㈹㸧㸦㸱㸧 ᪥ᮏఏ⇕ࢩ࣏ࣥࢪ࣒࢘ㅮ₇ㄽᩥ㞟ᢤๅ㸦Ꮫ⾡㈹㸪ዡບ㈹ࡢࡳ㸧㸲㸬ᥦฟᮇ㝈
2021 ᖺ 12 ᭶ 17 ᪥㸦㔠㸧㸳㸬ᥦฟඛ࠾ࡼࡧၥ࠸ྜࢃࡏඛ  ࠸ࡎࢀࡢ᭩㢮ࡶ PDF ໬ࡋ㸪ୗグ㟁Ꮚ࣓࣮ࣝ࢔ࢻࣞࢫᐄ࡟࠾㏦ࡾୗࡉ࠸㸬஑ᕞ኱Ꮫ ኱Ꮫ㝔ᕤᏛ◊✲㝔 ᶵᲔᕤᏛ㒊㛛 㧘ᯇὒ ᐄ
E-mail: takamatsu@mech.kyushu-u.ac.jp
TEL 092-802-3123
㸦ࠛ819-0395 ⚟ᒸᕷす༊ඖᒸ 744 ␒ᆅ㸧ఏ⇕ 2021 ᖺ 7 ᭶- 64 -J. HTSJ, Vol. 60, No. 252

஦ົᒁ࠿ࡽࡢ㐃⤡⦅㞟ฟ∧㒊఍࠿ࡽࡢ࠾▱ࡽࡏ୍ྛ✀⾜஦࣭ᗈ࿌࡞࡝ࡢᥖ㍕࡟ࡘ࠸࡚࣮
࢖ࣥࢱ࣮ࢿࢵࢺࡢᬑཬ࡟ࡼࡾ᝟ሗⓎಙ࣭஺᥮⬟ຊࡢẚ㢮࡞࠸㐍ᒎࡀࡶࡓࡽࡉࢀࡲࡋࡓ㸬୍᪉㸪ࣁ࣮ࢻࢥࣆ࣮࡜ࡋ࡚ࡢᏛ఍ㄅ࡟ࡣ㸪࢔࣮࢝࢖ࣈⓗ࡞౯್ࡢ࠶ࡿෆᐜࢆᡭ࡟࡜ࡗ࡚⇍ㄞ࡛ࡁࡿⅬࡸ㸪୍㐃ࡢ࣮࣌ࢪࢆ═ࡵ࡚඲ㇺࡀᐜ᫆࡟⌮ゎ࡛ࡁࡿⅬ࡞࡝㸪࠸ࡃࡽ㟁Ꮚ፹యࡀⓎ㐩ࡋ࡚ࡶ࠿࡞ࢃ࡞࠸㛗ᡤࡀ࠶ࡿࡢ࡛ࡣ࡞࠸࠿࡜ᛮ࠸ࡲࡍ㸬ࡓࡔࡋ㸪Ꮫ఍ㄅࡢ༳ๅ࣭Ⓨ㏦࡟ࡣከ㢠ࡢ⤒㈝ࡶక࠸ࡲࡍࡢ࡛㸪ᙜ㒊఍࡛ࡣࡇࡢ࡯࡝㸪ᐦᗘࡢࡼࡾ㧗࠸ㄅ㠃㸪ࡍ࡞ࢃࡕࣁ࣮ࢻࢥࣆ࣮࡜ࡋ࡚ࡐࡦ࡜ࡶṧࡍ࡭ࡁෆᐜࢆཝ㑅ࡋ㸪࢖ࣥࢱ࣮ࢿࢵࢺ㸦HP㸸࣮࣒࣮࣍࣌ࢪ㸪ML㸸࣓࣮ࣜࣥࢢࣜࢫࢺ㸧࡛ᢅ࠺᝟ሗ࡜ࡢ᳇ࡳศࡅࢆࡋࡓ⦅㞟᪉㔪ࢆ᳨ウ࠸ࡓࡋࡲࡋࡓ㸬ࡇࡢ⤖ᯝ㸪ࡇࢀࡲ࡛఍࿌࣮࣌ࢪ࡛ྲྀࡾᢅࡗ࡚ࡁࡓྛ✀⾜஦࣭ᗈ࿌࡞࡝ࡢᥖ㍕࡟ࡘࡁ㸪௨ୗࡢࡼ࠺࡞
᪉㔪࡛ᑐᛂࡉࡏ࡚࠸ࡓࡔࡁࡓࡃ㸪ࡈ⌮ゎ࡜ࡈ༠ຊࢆ࠾㢪࠸ࡍࡿḟ➨࡛ࡍ㸬



ᑐ㇟

ᑐᛂ

ᮏ఍㸦ᨭ㒊㸧୺ ↓ ᮲ ௳ ࡛ ヲ ⣽ ࢆ 㸪 ఍ ㄅ ࡜ദ࡟ࡼࡿ⾜஦
HP ࡟ᥖ㍕㸪ML ࡛ࡶ㓄ಙ㛵ಀᏛ఍ࡸᮏ఍ ᮲௳௜ࡁᥖ㍕఍ဨࡀ㛵ಀࡍࡿ ఍ㄅ㸸1 ௳ᙜࡓࡾ 4 ศࡢ l ࣮࣌ࢪ⛬ᗘ࡛ᥖ㍕㸦↓ᩱ㸧⤌⧊࡟ࡼࡿᅜෆእࡢ఍㆟࣭ HP㸸⾜஦࢝ࣞࣥࢲ࣮࡟ᥖ㍕ࢩ࣏ࣥࢪ࣒࣭࢘
ࡋࣜࣥࢡᙧᡂ㸦↓ᩱ㸧ࢭ࣑ࢼ࣮ML㸸᮲௳௜ࡁ㓄ಙ㸦↓ᩱ㸧኱Ꮫࡸබⓗ◊✲ᶵ㛵ࡢே஦
఍ㄅ㸸ᥖ㍕ࡏࡎ
බເ㸦ఏ⇕࡟
HP㸸᮲௳௜ࡁᥖ㍕ 㸦↓ᩱ㸧㛵ಀࡢ࠶ࡿศ
ML㸸᮲௳௜ࡁ㓄ಙ㸦↓ᩱ㸧
㔝࡟㝈ࡿ㸧

୍⯡ᗈ࿌
ồேᗈ࿌

ලయⓗ࡞ᡭ⥆ࡁ㸦㟁Ꮚ࣓࣮࡛ࣝࡢ㐃⤡ࢆ๓ᥦ࡜ࡋ࡚࠸ࡲࡍ㸧⏦㎸⪅ࡣ㸪グ஦ࢆ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ㸦ML ᢸᙜ㸧㸪ᗈሗጤဨ఍ጤဨ㛗㸦HP ᢸᙜ㸧࠶ࡿ࠸ࡣ⦅㞟ฟ∧㒊఍㛗㸦఍ㄅᢸᙜ㸧࡬㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬⏦㎸⪅ࡣ㸪ࡲࡎෆᐜࢆㄝ᫂ࡍࡿ㈨ᩱࢆ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬ᑂ㆟ࡢ⤖ᯝ㸪ᥖ㍕ྍ࡜࡞ࡗࡓ
ሙྜ࡟ࡣ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨࡼࡾ⏦㎸⪅࡟ࡑࡢ᪨㏻▱ࡋࡲࡍࡢ࡛㸪⏦㎸⪅ࡣグ஦ࢆ⦅㞟ฟ∧㒊఍㛗㸦఍ㄅᢸᙜ㸧࡜ᗈሗጤဨ఍ጤဨ㛗㸦HP ᢸᙜ㸧࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬⏦㎸⪅ࡣ㸪බເෆᐜࢆㄝ᫂ࡍࡿ㈨ᩱࢆ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬ᑂ㆟ࡢ⤖ᯝ㸪ᥖ㍕ྍ࡜࡞ࡗࡓ
ሙྜ࡟ࡣ⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨࡼࡾ⏦㎸⪅࡟ࡑࡢ᪨㏻▱ࡋࡲࡍࡢ࡛㸪⏦㎸⪅ࡣグ஦ࢆᗈሗጤဨ఍ጤဨ㛗㸦HP ᢸᙜ㸧࡟㏦ಙࡋ࡚ࡃࡔࡉ࠸㸬⏦㎸⪅ࡣ㸪⦅㞟ฟ∧㒊఍㛗㸦఍ㄅᢸᙜ㸧ࡲࡓࡣᗈሗጤဨ఍
ጤဨ㛗㸦HP ࣂࢼ࣮ᗈ࿌ᢸᙜ㸧࡟ᗈ࿌ෆᐜࢆ㏦ಙࡋ࡚ࡃࡔࡉ
࠸㸬ᥖ㍕ྍ࡜࡞ࡗࡓሙྜ࡟ࡣ⦅㞟ฟ∧㒊఍㛗ࡲࡓࡣᗈሗጤ
఍ㄅ㸸᮲௳௜ࡁᥖ㍕㸦᭷ᩱ㸧ဨ఍ጤဨ㛗ࡼࡾ⏦㎸⪅࡟ࡑࡢ᪨㏻▱ࡋࡲࡍࡢ࡛㸪⏦㎸⪅ࡣHP㸸᮲௳௜ࡁᥖ㍕ཎ✏ࢆ⦅㞟ฟ∧㒊఍㛗ࡲࡓࡣᗈሗጤဨ఍ጤဨ㛗࡟㏦ಙࡋ࡚㸦ࣂࢼ࣮ᗈ࿌ࡢࡳ㸪᭷ᩱ㸧ࡃࡔࡉ࠸㸬ᥖ㍕ᩱᨭᡶ࠸ᡭ⥆ࡁ࡟ࡘ࠸࡚ࡣ஦ົᒁ࠿ࡽࡈ㐃⤡࠸ࡓࡋࡲࡍ㸬ࣂࢼ࣮ᗈ࿌ࡢྲྀࡾᢅ࠸࡟ࡘ࠸࡚ࡣ
http://www.htsj.or.jp/wp/media/36banner.pdf ࢆࡈཧ↷ୗࡉ࠸㸬



࠙㐃⤡ඛࠚ
࣭⥲ົ㒊఍㛗㸸✄⏣Ꮥ᫂㸦ᮾி㟁ᶵ኱Ꮫ㸧㸸t-inada@mail.dendai.ac.jp࣭⦅㞟ฟ∧㒊఍㛗㸸Ọ஭஧㑻㸦⚟஭኱Ꮫ㸧㸸nagai@u-fukui.ac.jp࣭ᗈሗጤဨ఍ጤဨ㛗㸸୍ᰗ‶ஂ㸦ୖᬛ኱Ꮫ㸧㸸ichiyanagi@sophia.ac.jp࣭⥲ົᢸᙜ๪఍㛗⿵బ༠㆟ဨ㸸㛗㇂ᕝὒ௓㸦ᮾி኱Ꮫ㸧㸸ysk@iis.u-tokyo.ac.jp࣭஦ົᒁ㸸኱⃝Ẏኈ࣭ᮧᯇెᏊ࣭ᒣ⏣㯞Ꮚ㸸office@htsj.or.jp࠙ὀពࠚ࣭ཎ✏ࡣ Word ࣇ࢓࢖ࣝࡲࡓࡣ Text ࣇ࢓࢖࡛ࣝ࠾㢪࠸ࡋࡲࡍ㸬࣭HP ࡣ࣓ࣥࢸࢼࣥࢫࡢ㒔ྜୖ㸪ᥖ㍕ࡣ⏦㎸᭶ࡢ⩣᭶㸪ࡲࡓ๐㝖ࡶᕼᮃᥖ㍕ᮇ㝈ࡢ⩣᭶⛬ᗘࡢ᫬㛫㐜ࢀࡀ࠶ࡿࡇ࡜ࢆࡈ஢ᢎ㢪࠸ࡲࡍ㸬࣭ML ࡛ࡣ㸪ཎ๎࡜ࡋ࡚ࢸ࢟ࢫࢺᩥࡢ㏦ಙ࡜࡞ࡾࡲࡍ㸬pdf ➼ࡢῧ௜ࣇ࢓࢖࡛ࣝ㏦ಙࢆᕼᮃࡉࢀࡿሙྜ
ࡣࡈ┦ㄯࡃࡔࡉ࠸㸬ఏ⇕ 2021 ᖺ 7 ᭶- 65 -J. HTSJ, Vol. 60, No. 252

⦅㞟ฟ∧㒊఍ࣀ࣮ࢺ
Note from the JHTSJ Editorial Board 2021 ᖺ 5 ᭶⥲఍ࡢ㆟Ỵ࡟ࡼࡾ㸪⦅㞟ฟ∧㒊఍㛗࣭⌮஦࡟ᑵࡁࡲࡋࡓ⚟஭኱Ꮫ࣭Ọ஭࡛ࡍ㸬ᮏྕࡢ௻⏬࡜ཎ✏౫㢗࣭཰㞟సᴗࡣ㸪๓ᮇ㒊఍㛗ࡢ୰ᮧඖඛ⏕㸦㜵⾨኱Ꮫᰯ㸧ࢆ୰ᚰ࡜ࡋ࡚⾜ࢃࢀࡲࡋࡓ㸬୰ᮧඛ⏕ࢆࡣࡌࡵṔ௦ࡢ㒊఍㛗ࡢ᪉ࠎࡢࡼ࠺࡟ⓗ☜࡛ࢱ࢖࣒࣮ࣜ࡞⦅㞟௻⏬సᴗࢆ௒ᚋ┠ᣦࡋࡲࡍ㸬୰ᮧඛ⏕㸪2 ᖺ㛫኱ኚ࠾ࡘ࠿ࢀࡉࡲ࡛ࡋࡓ㸬⚾ࡣ㐣ཤ࡟ 2 ᗘ㸪⦅㞟ฟ∧㒊఍ጤဨࢆ⤒㦂ࡋ࡚࠾ࡾࡲࡍࡀ㸪࠸ࡘࡶࠕ㒊఍㛗ࡣ኱ኚࡔ࡞㹼㸬ᮏᙜ࡟࠾ࡘ࠿ࢀࡉࡲ࡛ࡍ㸬ࠖ࡜௚ே஦ࡢឤ᝿ࢆᢪ࠸࡚࠾ࡾࡲࡋࡓ㸬ࡲࡉ࠿⮬ศࡀ㒊఍㛗࡟࡞ࡿ࡜ࡣᛮࡗ
࡚ࡶ࠾ࡽࡎ㸪ࡇࡢᩘࣨ᭶㛫㸪୙Ᏻ࡜㔜ᅽࡢࡶ࡜㐣ࡈࡋ࡚ࡁࡲࡋࡓ㸬ᖾ࠸࡞ࡇ࡜࡟㸪7 ྡࡢ᪂௵ࡢ᪉ࢆྵࡵ࡚㸪ୗグࡢ㢗ࡶࡋ࠸ጤဨࡢⓙᵝ࡜୍⥴࡟௙஦ࡀ࡛ࡁࡲࡍ㸬඲࡚ࡢᏛ఍ဨⓙᵝࡢࡈ༠ຊࡶ࠾㢪࠸ࡋࡘࡘ㸪ࡇࡢࠕఏ⇕ࠖࡀ㨩ຊ࠶ࡿᏛ఍ㄅ࡜࡞ࡿࡼ࠺⦅㞟௻⏬ࢆ㐍ࡵ࡚࠸ࡁࡓ࠸࡜ᛮ࠸ࡲࡍ㸬ࠕఏ⇕ࠖ࡬ࡢࡈពぢ࣭ࡈឤ᝿ࢆࡐࡦ
࣓࣮࡛ࣝ࠾ᐤࡏୗࡉ࠸㸬 ࡉ࡚㸪ᮏྕ࡛ࡣࠕ࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࢆά⏝ࡋࡓ CAEࠖࡢ≉㞟ࢆ୰ᕝៅ஧ඛ⏕㸦ᐩᒣ┴❧኱Ꮫ㸧࡟⤌ࢇ࡛࠸ࡓࡔࡁ㸪OpenFORM ࢆ୰ᚰ࡜ࡋ࡚ྛ✀࣮࢜ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔ࡢ≉ᚩࡸά⏝᪉ἲ➼࡟㛵ࡋ࡚㸪⏘ᴗ⏺࣭Ꮫ⾡⏺࡛ᐇ㝿࡟ࡈά⏝ࡉࢀ࡚࠸ࡿ᭱ඛ➃ࡢ᪉ࠎ࠿ࡽ 6 ௳ࡢࡈᐤ✏ࢆ࠸ࡓࡔࡁࡲࡋࡓ㸬ࡈከ⏝࡟ࡶ㛵ࢃࡽࡎࡈᐤ✏ࡃࡔࡉࡗࡓⓙᵝ࡟㸪ࡇࡢሙࢆ࠾೉ࡾࡋ࡚ཌࡃ࠾♩⏦ࡋୖࡆࡲࡍ㸬Ọ஭ ஧㑻㸦⚟஭኱Ꮫ㸧
Niro NAGAI (University of Fukui)e-mail: nagai@u-fukui.ac.jp௻⏬࣭⦅㞟ฟ∧ᢸᙜ๪఍㛗㧗ᯇ ὒ㸦஑ᕞ኱Ꮫ㸧⦅㞟ฟ∧㒊఍㛗Ọ஭ ஧㑻㸦⚟஭኱Ꮫ㸧

ጤဨ
㸦⌮஦㸧

୰ཎ ┿ஓ㸦ឡ፾኱Ꮫ㸧㸪୸ᒣ ┤ᶞ㸦୕㔜኱Ꮫ㸧㸪ᆏᮧ ⰾᏕ㸦ᐩᒣ┴❧኱Ꮫ㸧㸦༠㆟ဨ㸧 ὸᒸ 㱟ᚨ㸦ಙᕞ኱Ꮫ㸧㸪ᑠ⏣ ㇏㸦㛵す኱Ꮫ㸧㸪ᑠ㔪 㐩ஓ㸦᪥❧〇సᡤ㸧㸪ᑠᐑ ᩔᶞ㸦ᮾ໭኱Ꮫ㸧Ṋ⏣ ဴ᫂㸦ᒣ᲍኱Ꮫ㸧㸪ሯཎ 㝯⿱㸦ᮾி⌮⛉኱Ꮫ㸧㸪୰ᕝ ៅ஧㸦ᐩᒣ┴❧኱Ꮫ㸧▮྿ ᬛⱥ㸦஑ᕞᕤᴗ኱Ꮫ㸧

TSE ࢳ࣮ࣇ࢚ࢹ࢕ࢱ࣮㕥ᮌ 㞝஧㸦ᮾி኱Ꮫ㸧

TSE ⦅㞟ᖿ஦⚟ᓥ ┤ဢ㸦ᮾᾏ኱Ꮫ㸧⦅㞟ฟ∧㒊఍ 㐃⤡ඛ㸸

ࠛ910-8507 ⚟஭ᕷᩥி 3-9-1⚟஭኱Ꮫ Ꮫ⾡◊✲㝔ᕤᏛ⣔㒊㛛Ọ஭ ஧㑻
Phone: 0776-27-8537
E-mail: nagai@u-fukui.ac.jp

ఏ⇕ 2021 ᖺ 7 ᭶- 69 -J. HTSJ, Vol. 60, No. 252