Ꮫ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬ ᖹᡂ 26 ᖺᗘඹྠ◊✲ ᭱⤊ሗ࿌᭩ 2015 ᖺ 5 ᭶ㄢ㢟␒ྕ 14-MD03⛉Ꮫᢏ⾡ィ⟬࡟࠾ࡅࡿຠ⋡ࡢⰋ࠸」ᩘᣐⅬ฼⏝࡜ࡑࢀࢆᐇ⌧ࡍࡿ࣮ࣘࢨ㥑ືᆺ࣭ᣐⅬ༠ㄪࣇ࣮࣒࣮ࣞ࣡ࢡࡢ㛤Ⓨ࡜᳨ドᐿᮏ ⱥஅ㸦ᮾி኱Ꮫ㸧ᴫせ ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡜ྍど໬ࢆక࠺ࡶࡢࠊ࠶ࡿ࠸ࡣ࣐ࣝࢳࢫࢣ࣮ࣝ࡞ᵓ㐀ࢆࡶࡗࡓ㐃ᡂ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆᑐ㇟࡜ࡋࠊᗈᇦ࡟ศᩓࡋࡓィ⟬ᶵ㈨※ࢆ᭷ຠ࡟ά⏝ࡍࡿࡓࡵࡢࣇ࣮࣒࣮ࣞ࣡ࢡࡢ㛤Ⓨࠊ᳨ドࢆᐇ᪋ࡍࡿࠋᮏ◊✲ࡣࠊ 1) ᐇ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆከᣐⅬ࡛฼⏝ࡋࡓ㝿ࡢᙳ㡪ࡢ᳨ド࠾ࡼࡧᐇ⾜ࡢຠ⋡໬ࠊ2) ከᣐⅬࢆ฼⏝ࡋࡓ㐃ᡂィ⟬࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆᵓᡂ࣭ᐇ⾜ࡍࡿࡓࡵࡢᑟධ㞀ቨࡢప࠸ࣇ࣮࣒࣮ࣞ࣡ࢡࡢᵓ⠏ࠊࡢ 2 ࡘ࠿ࡽᵓᡂࡉࢀࠊ1) ࡢ⤖ᯝࢆࣇ࢕࣮ࢻࣂࢵࢡࡋ࡞ࡀࡽࠊ2) ࢆ᳨ウ࣭㛤Ⓨࢆ⾜ࡗࡓࠋඹྠ◊✲࡟㛵ࡍࡿ᝟ሗᲷᮅ㞞ᬕ㸸᳨ド⎔ቃㄪᩚ ඹྠ◊✲ࢆᐇ᪋ࡋࡓᣐⅬྡ⌮໬Ꮫ◊✲ᡤ㸦ࢩࢫࢸ࣒タィ⿵ຓ㸧ᮾி኱Ꮫࠊᮾிᕤᴗ኱Ꮫࠊ஑ᕞ኱Ꮫࠊ໭ᾏ㐨኱Ꮫ⁪⃝┿୍ᮁ㸸ࢩࢫࢸ࣒タィ ඹྠ◊✲ศ㔝◊✲ࡢ┠ⓗ࡜ព⩏㉸኱つᶍᩘ್ィ⟬⣔ᛂ⏝ศ㔝ᮏ◊✲ࡣࠊᗈᇦ࡟ศᩓࡋࡓィ⟬ᶵ㈨※ࢆ᭷ຠ࡟ά㉸኱つᶍ᝟ሗࢩࢫࢸ࣒㛵㐃◊✲ศ㔝⏝ࡍࡿࡓࡵࡢࣇ࣮࣒࣮ࣞ࣡ࢡࡢ㛤Ⓨࠊ᳨ドࢆᐇ᪋ࡍࡿࡶࡢ࡛࠶ࡿࠋᑐ㇟࡜ࡋ࡚ࡣࠊࢩ࣑࣮ࣗࣞࢩࣙ ཧຍ◊✲⪅ࡢᙺ๭ศᢸࣥ࡜ྍど໬ࢆక࠺ࡶࡢࠊ࠶ࡿ࠸ࡣ࣐ࣝࢳࢫࢣ࣮ࣝᣐⅬẖࡢศᢸࡣ௨ୗࠊࡉࡽ࡟࣓ࣥࣂ࣮ࡢྡ๓࡜ᙺ࡞ᵓ㐀ࢆࡶࡗࡓ㐃ᡂ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆᑐ㇟࡜ࡋࠊ๭ࢆᣲࡆࡿࠋࡇࢀࢆᵓᡂࡍࡿ」ᩘࡢ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆ␗࡞ࡗ

ᮾி኱Ꮫ㸦ࢩࢫࢸ࣒タィཬࡧ࢔ࣉ᳨ࣜド㸧ࡓࢧ࢖ࢺࡢィ⟬㈨※ࢆ฼⏝ࡋ࡚ᐇ⾜ࡍࡿࠋࡲࡓࠊᐿᮏⱥஅ㸦௦⾲㸧㸸◊✲⤫ᣓᏛ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬࢆᵓࢩࢫࢸ࣒タィ࣭ᵓ⠏ᡂࡍࡿྛࢭࣥࢱ࣮ࡢᣢࡘࢯࣇࢺ࢙࢘࢔ࣛ࢖ࢭࣥࢫᯇᮏṇᬕ㸸࢔ࣉ᳨ࣜドࡸࠊࡑࢀࡒࢀ࡟ศᩓ㓄⨨ࡉࢀࡓࢹ࣮ࢱ࡟ࡼࡿᐇ⾜୰ᓥ◊࿃㸸࢔ࣉࣜᥦ౪ไ㝈࡟ࡶᑐᛂࡍࡿࠋࡇࡢࡓࡵࠊᮏ◊✲ࡣ኱ࡁࡃศ∦᱒Ꮥὒ㸸࢔ࣉࣜ᝟ሗᥦ౪ࡅ࡚ࠊ 1) ᐇ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆከᣐⅬ࡛฼⏝ࡋዟ⏣ὒྖ㸸࢔ࣉࣜ᝟ሗᥦ౪ࡓ㝿ࡢᙳ㡪ࡢ᳨ド࠾ࡼࡧᐇ⾜ࡢຠ⋡໬ࠊ2) ከᣐⅬ஑ᕞ኱Ꮫ㸦࢔ࣉ᳨ࣜド㸧ࢆ฼⏝ࡋࡓ㐃ᡂィ⟬࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆᵓᡂ࣭ᐇᑠᯘὈ୕㸦๪௦⾲㸧㸸࢔ࣉ᳨ࣜド࡜ᥦ౪⾜ࡍࡿࡓࡵࡢᑟධ㞀ቨࡢప࠸ࣇ࣮࣒࣮ࣞ࣡ࢡࡢᵓࢩࢫࢸ࣒タィ⠏ࠊࡢ 2 ࡘࢆ┠ⓗ࡜ࡍࡿࠋ≉࡟ࠊᗈᇦศᩓィ⟬ࡸᮾிᕤᴗ኱Ꮫ㸦◊✲⎔ቃᵓ⠏࣭ᩚഛ㸧㐃ᡂィ⟬ࡢᚲせ᮲௳࡜せ⣲ᢏ⾡ࡢ᳨ウ࡜ᩚഛ࡟↔

୕ᾆಙ୍㸸RENKEI-VPE ⎔ቃㄪᩚⅬࢆྜࢃࡏࡿ஦࡟ࡼࡾࠊỗ⏝ᛶࢆഛ࠼ࡓࣇ࣮࣒ࣞ

ዟ㔝႐⿱㸸࢔ࣉࣜ᝟ሗᥦ౪࣮࣡ࢡࡢᇶ♏ࢆᅛࡵࡿࠋලయⓗ࡟ࡣࠊA㸧ࣟࣂࢫబ⸨ோ㸸ࢫࢺ࣮ࣞࢪ᝟ሗᥦ౪ࢺ࠿ࡘᰂ㌾࡞㏻ಙࣇ࣮࣒࣮ࣞ࣡ࢡࠊ࡜ B㸧࢔ࣉࣜ໭ᾏ㐨኱Ꮫ㸦◊✲⎔ቃᵓ⠏࣭ᩚഛ㸧

ࡸ㏻ಙࢆ⟶⌮ࡍࡿࣇ࣮࣒࣮ࣞ࣡ࢡࠊࡢタィ࡜ᵓ⠏1Ꮫ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬ ᖹᡂ 26 ᖺᗘඹྠ◊✲ ᭱⤊ሗ࿌᭩ 2015 ᖺ 5 ᭶ࢆ⾜࠺ࠋᵓ⠏࡟ᙜࡓࡗ࡚ࡣࠊ࣮ࣘࢨᶒ㝈࡜ ssh ࡜ 㐃ᡂィ⟬࢔ࣉࣜࢣ࣮ࢩࣙࣥࡢ ከᣐⅬ㐃ᦠฎ⌮࠸ࡗࡓ୍⯡ⓗ࡟฼⏝ྍ⬟࡜⪃࠼ࡽࢀࡿࣟࢢ࢖ࣥࢧ᳨ド࣮ࣅࢫࡢࡳ࡛ࠊ㐃ᡂィ⟬ࡀ⾜࠼ࡿᵝ࡞ࣇ࣮࣒ࣞ࣡

 2SHQ)2$0࡟ࡼࡿᣐⅬ㛫㐃ᦠ࢔ࣉࣜࢣ࣮ࢩ࣮ࣙࣥࢡࢆࡵࡊࡍࠋࡇࢀࡣࠊ᪂ࡓ࡞ࢧ࣮ࣅࢫࢆྛᣐⅬࡢタィ࡜ヨ㦂ᐇ⿦࡟ᑟධࡍࡿ࡟ࡣࠊಖᏲࡸᏳ඲ᛶࡢ᳨ド࡜࠸ࡗࡓ㠃 ᣐⅬ༠ㄪࣇ࣮࣒࣮ࣞ࣡ࢡࡢタィࢆྵࡵࡓ㧗ࢥࢫࢺ࡞ᡭ⥆ࡁࡀᚲせ࡛ࠊ⡆᫆࡟ᣐⅬࡲࡓ୰㛫Ⓨ⾲௨㝆ࡢᡂᯝࡣࠊ௨ୗ࡛࠶ࡿࠋ᱌㐃ᦠࢆ⾜࠺࡟ࡣࡍ࡛࡟Ꮡᅾࡍࡿࢧ࣮ࣅࢫ࡛ᵓ⠏ 2SHQ)2$0࡟ࡼࡿᣐⅬ㛫㐃ᦠ࢔ࣉࣜࢣ࣮ࢩࣙࣥࡍࡿᚲせࡀ࠶ࡿࡓࡵ࡛࠶ࡿࠋ฼⏝ࡉࢀࡿ⎔ቃ࡜ࡋᐇ⿦ࡢὙ⦎

࡚ࡣᅗ 1 ࡢࡼ࠺࡞⎔ቃࢆ᝿ᐃࡋ࡚࠸ࡿࠋࡲࡓࠊ㐃 ᣐⅬ༠ㄪ ࣇ࣮࣒࣮ࣞ࣡ࢡࡢᐇ⿦࠾ࡼࡧ㏣ຍ

ᡂࡉࢀࡿ࢔ࣉࣜࢣ࣮ࢩࣙࣥࡣࠊ༢᪉ྥࡢ㏻ಙࢆᣢ

タィࡘࡶࡢࢆ௬ᐃࡍࡿࠋ

࢔ࣉࣜࢣ࣮ࢩ᳨ࣙࣥドࢢ࣮ࣝࣉࣇ࣮࣒࣮ࣞ࣡ࢡࡢᐇ⿦࣭ᵓ⠏࡟ඛ❧ࡕࠊᣐⅬ㛫㐃
ᦠࢆ⾜࠺᪤Ꮡᡭἲ࡛࠶ࡿࠕHPCI ඛ➃ࢯࣇࢺ࢙࢘
࢔㐠⏝ᇶ┙ ศᩓ⎔ቃ࣍ࢫࢸ࢕ࣥࢢࢧ࣮ࣅࢫࠖࢆ฼

ᅗ 1㸸᝿ᐃࡍࡿᐇ⾜⎔ቃ⏝ࡋࡓ㐃ᡂィ⟬࢔ࣉࣜࢣ࣮ࢩࣙࣥࡢホ౯ࢆ⾜ࡗࡓࠋᅗ 2 ࡟ࡑࡢᴫせࢆ♧ࡍࠋศᩓ⎔ቃ࣍ࢫࢸ࢕ࣥࢢࢧ ᙜᣐⅬබເᆺඹྠ◊✲࡜ࡋ࡚ᐇ᪋ࡋࡓព⩏  ࣮ࣅࢫࡣࠊ」ᩘᣐⅬ࡟Ꮡᅾࡍࡿ௬᝿࣐ࢩࣥ㸦௨ୗࠊ
ᣐⅬ㛫㐃ᦠࢩࢫࢸ࣒ࡢᵓ⠏ࠊ࠾ࡼࡧᣐⅬ㛫࢔ࣉࣜ

VM㸧࣍ࢫࢸ࢕ࣥࢢࣜࢯ࣮ࢫ࡟ᑐࡋ࡚ࠊVM ࡢᐇ⾜ࢣ࣮ࢩࣙࣥࡢ≉ᛶࢆ᳨ドࡍࡿ࡟࠶ࡓࡾࠊᐇ㝿࡟ከ⟶⌮ࢆ฼⏝⪅୺య࡛⾜࠼ࡿࢩࢫࢸ࣒࡛࠶ࡾࠊHPCIᣐⅬࡀ SINET ࡛⤖ࡧࡘ࠸ࡓ⎔ቃࢆ฼⏝࡛ࡁࡿࡇࡢᯟ⤌ࡳࡢ୰࡛ᥦ౪ࡉࢀ࡚࠸ࡿࠋࡲࡓࠊ㐃ᡂィ⟬࡜ࡣ኱ࡁ࡞฼Ⅼ࡛࠶ࡿࠋ࢔ࣉࣜࢣ࣮ࢩࣙࣥ࡜ࡋ࡚ࠊ3 ḟඖ⇕ఏᑟ᪉⛬ᘧࡢࡲࡓࠊྛᣐⅬࡢィ⟬㈨※ࡢࢿࢵࢺ࣮࣡ࢡ࡬ࡢ᥋⥆᭷㝈ᕪศἲ㸦FDM㸧ゎᯒࢥ࣮ࢻ࡟ྍど໬ฎ⌮⏝ࡢ᪉ἲࠊ฼⏝ἲ࡞࡝ࡢ▱㆑ࡢᥦ౪ࠊࡉࡽ࡟ᵓ⠏㏵ୖ࣮ࣝࢳࣥࢆᑟධࡋࡓࡶࡢ⏝࠸ࡓࠋࡇࡢࢥ࣮ࢻࡣࡢࢩࢫࢸ࣒ࢸࢫࢺࡢࡓࡵ࡟࠶ࡿ⛬ᗘ᳨ド࡟ྥ࠸ࡓ

FDM ゎᯒ㒊࡜ྍど໬ฎ⌮㒊ࡀࡑࢀࡒࢀ≉ᐃࡢ⎔ቃタᐃࢆྛᣐⅬ࡛⾜࠼ࡿ◊✲⪅࡜ࡢඹྠ◊✲ࡣMPI ࣉࣟࢭࢫ࡛ศ๭ࡉࢀࡿࠋࡍ࡞ࢃࡕࠊྛ MPIᚲ㡲࡛࠶ࡾࠊ㐠⏝ࢩࢫࢸ࣒࡜◊✲⪅ࡀᐦ࡟㐃ᦠྍࣉࣟࢭࢫ࡜ྛᣐⅬࡢ VM ࢆᑐᛂࡉࡏࡿࡇ࡜࡟ࡼࡗ⬟࡛࠶ࡿᮏබເᆺඹྠ◊✲࡟ࡼࡾࡇࢀࡀ㐩ᡂࡉࢀ࡚ࠊFDM ゎᯒ㒊࡜ྍど໬㒊ࢆࡑࢀࡒࢀูᣐⅬ࡛ᐇࡓࠋ⾜ࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋᐇ㝿࡟ࠊᮏඹྠ◊✲ࡢ㈨※࡛࠶ࡿ RENKEI-VPE⎔ቃࡣࠊᑠつᶍ࡞ඹྠ◊✲࡛ᵓ⠏ࡍࡿࡇ࡜ࡣ㞴ࡋ࠸ࡀࠊᮏ◊✲ㄢ㢟ࡢ᰾ᚰ࡜࡞ࡿホ౯⎔ቃ࡜ࡋ࡚኱ࡁ࡞ᨭ᥼ࢆᚓ࡚࠸ࡿ ๓ᖺᗘࡲ࡛࡟ᚓࡽࢀࡓ◊✲ᡂᯝࡢᴫせ࡞ࡋᅗ 2㸸㐃ᡂィ⟬࢔ࣉࣜࢣ࣮ࢩࣙࣥホ౯ࡢᴫせ ௒ᖺᗘࡢ◊✲ᡂᯝࡢヲ⣽୰㛫Ⓨ⾲࡟࠾࠸࡚ࡣ௨ୗࡢᡂᯝࢆሗ࿌ࡋࡓࠋᮏホ౯࡛ࡣ⡆༢ࡢࡓࡵࠊ඲ࣉࣟࢭࢫᩘࢆ 2 ࡜ࡋࠊࡇࢀࡣྛࢢ࣮ࣝࣉࡢᡂᯝሗ࿌๓༙࡟グ㏙ࡋࡓࠋ
2Ꮫ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬ ᖹᡂ 26 ᖺᗘඹྠ◊✲ ᭱⤊ሗ࿌᭩ 2015 ᖺ 5 ᭶FDM ゎᯒ㒊㸦rank = 0㸧ࡣᮾᕤ኱࡛㉳ືࡋࡓ VMᅗ 3㸸ࢹ࣮ࢱฟຊ㛫㝸࡟ᑐࡍࡿᐇ⾜᫬㛫

㸦4 core㸧1 ྎࢆ⏝࠸࡚ OpenMP ࡟ࡼࡿࢫࣞࢵࢻ୪ิ໬࡟ࡼࡾィ⟬ࡉࢀࡿ୍᪉ࠊྍど໬ฎ⌮㒊௨ୖࡢ᳨ドࢆඖ࡟ࠊ㐺ษ࡞ࢹ࣮ࢱฟຊ㛫㝸ࢆタᐃ

㸦rank = 1㸧ࡣ஑ᕞ኱࡛㉳ືࡋࡓ VM㸦1 core㸧1ࡋࡓୖ࡛ࠊ ᮾᕤ኱㸯ࢧ࢖ࢺ FRUH ࡜  ᮾᕤ኱ྎࢆ⏝࠸࡚ࠊྍど໬ࡢࡓࡵࡢࢹ࣮ࢱࢆᚲせ࡟ᛂࡌ㸩஑ᕞ኱ FRUH ࡛ )'0 ゎᯒ㒊࠾ࡼࡧྍど໬ฎ⌮࡚ᮾᕤ኱ VM ࡼࡾཷಙࡋࠊඹ⏝ࢫࢺ࣮ࣞࢪ࡬࡜᭩㒊ࢆᐇ⾜ࡋࡓࠋୖグࡢ᳨ド࡜ྠࡌࡃࠊ୪ิ໬ᩘࡣࠊ

ࡁฟࡍࠋFDM ゎᯒ㒊࡛ࡣࠊ⇕ఏᑟ᪉⛬ᘧࡢ✵㛫ᚤ)'0 ゎᯒ㒊  ୪ิࠊྍど໬ฎ⌮㒊  ୪ิࡢࡓࡵࠊศࢆ 2 ḟ⢭ᗘ୰ᚰᕪศ࡛ホ౯ࡋࠊ1 ḟ⢭ᗘ࢜࢖ࣛ ࡛ࡣࢧ࢖ࢺࡢ⬟ຊ௨ୖࡢ୪ิฎ⌮ࡀ㉮ࡿࡼ࠺࡟࣮㝧ゎἲ࡛᫬㛫✚ศࢆ⾜ࡗ࡚࠾ࡾࠊ඲᱁ᏊⅬᩘࡣ࡞ࡿࠋࡇࡢ⤖ᯝࠊ ࡛ࡣ VHFࠊ ࡛ࡣ VHFࡢ

646464ࠊ᫬㛫Ⓨᒎࡢࡓࡵࡢ࣓࢖࣮ࣥࣝࣉࡢᐇ⾜᫬㛫࡜࡞ࡗࡓࠋࡇࡢ⤖ᯝࡣ㐺ษ࡞ࣃ࣓࣮ࣛࢱ

iteration ᅇᩘࡣ 1000 ࡜ࡋࡓࠋྍど໬ฎ⌮㒊ࡣタᐃࡀ⾜ࢃࢀࡓሙྜࠊከᣐⅬ㐃ᦠฎ⌮࡟ຠᯝࡀ࠶

FDM ゎᯒ㒊ࡢ࣓࢖࣮ࣥࣝࣉෆ࡛࿧ࡤࢀࡿࡀࠊࡑࡢࡿྍ⬟ᛶࡀ♧၀ࡉࢀࡿࠋࡇࡢ⤖ᯝࡣࠊࢩࢫࢸ࣒タ㝿ࠊ඲᱁ᏊⅬᩘศࡢィࡢ᳨ウᮦᩱ࡜ࡋࡓࠋ

ᗘࢹ࣮ࢱࡢ㏦ཷಙࢆࣀࣥࣈ

OpenFOAM ࢆᑐ㇟࢔ࣉࣜࢣ࣮ࢩࣙࣥ࡟ࡋࡓ࣏

ࣟࢵ࢟ࣥࢢ㏻ಙ࡛⾜࠺ࠋᅗ 3 ࡟ࠊࢹ࣮ࢱฟຊ㛫㝸࡟ᑐࡍࡿᐇ⾜᫬㛫ࢆ୧ᑐࢫࢺฎ⌮㐃ᦠ࡟ࡘ࠸࡚ࡣࠊMPI ㏻ಙࢆᢅ࠺ࢡࣛࢫᩘࢢࣛࣇ࡛♧ࡍࠋࡇࡇ࡛ࢹ࣮ࢱฟຊ㛫㝸࡜ࡣࠊࡢᣑᙇタィ࡟┠ฎࢆࡘࡅ࡚ᐇ⿦ࢆ㐍ࡵࠊヨ㦂ࢆ㛤ࠕFDM ゎᯒ㒊࣓࢖࣮ࣥࣝࣉࡢ iteration ୰࡛ఱᅇጞࡋࡓࠋᇶ┙ࢭࣥࢱ࣮ࡢ㈨※ࢆ⏝࠸ࡓ኱つᶍ࡞ヨ࡟ 1 ᅇࠊྍど໬ฎ⌮㒊ࢆ࿧ࡧฟࡍ࠿ࠖࢆ♧ࡍ್࡛㦂ࡣᐇ᪋࡛ࡁ࡚ࡣ࠸࡞࠸ࡀࠊ◊✲ᐊタ⨨ࡢ PC ࢡ࠶ࡾࠊ౛࠼ࡤࢹ࣮ࢱฟຊ㛫㝸㸻10 ࡛࠶ࢀࡤࠊFDMࣛࢫࢱ࣮㛫࡛ࡢ␯㏻ࢸࢫࢺࡣ࡯ࡰ᏶஢ࡋࡓࠋࡑࡢ

ゎᯒ࣮ࣝࣉ 10 ᅇ࡟ 1 ᅇࡔࡅྍど໬ฎ⌮㒊ࢆ࿧ࡧᡂᯝࢆᅜ㝿఍㆟ PANACM2015 ࡟࡚Ⓨ⾲ࡋࡓࠋฟࡋࠊࢹ࣮ࢱࢆฟຊࡍࡿࠊ࡜࠸࠺ࡇ࡜ࢆ⾲ࡍࠋྠ୰㛫Ⓨ⾲௨ᚋࡢᡂᯝ࡜ࡋ࡚ࡣࠊ኱つᶍ᳨ド࡟ഛᅗࡼࡾࠊࢹ࣮ࢱฟຊ㛫㝸㸻100 ࢆቃ࡟ᐇ⾜᫬㛫ࡀ࠼ࠊ᫨㛫Ⓨ⾲᫬࡟ṧࡗ࡚࠸ࡓࠊ෌⌧ᛶࡢ↓࠸୙ල኱ࡁࡃ␗࡞ࡿࡇ࡜ࡀࢃ࠿ࡿࠋࢹ࣮ࢱฟຊ㛫㝸ࢆ 100ྜࠊ࠶ࡿ࠸ࡣᐇ⾜᫬㛫ࡢኚື࡞࡝࡟ࡘ࠸࡚ࠊཎᅉ௨ୗ࡟タᐃࡍࡿ࡜ࠊFDM ゎᯒ㒊ࡢᐇ⾜᫬㛫࡟ᑐࡋ✲᫂ࢆࡼࡧゎỴࢆ⾜ࡗ࡚࠸ࡿࠋ࡚ྍど໬ฎ⌮㒊ࡢᐇ⾜㸦MPI ㏻ಙ㸧࡟᫬㛫ࡀ࠿࠿ࡿࡇ࡜࡛ࠊ඲ᐇ⾜᫬㛫ࡀ኱ᖜ࡟ቑຍࡍࡿ୍᪉࡛ࠊࢩࢫࢸ࣒タィࢢ࣮ࣝࣉࢹ࣮ࢱฟຊ㛫㝸ࢆ 100 ௨ୖ࡟タᐃࡍࡿ࡜ࠊྍど໬ᮏ◊✲࡛ᥦ᱌ࡍࡿ࣮ࣘࢨ㥑ືᆺ࣭ᣐⅬ༠ㄪࣇࣞฎ⌮㒊ࡢᐇ⾜ࡀ FDM ゎᯒ㒊ࡢᐇ⾜᫬㛫࡟㞃࡮࠸࣮࣒࣮࣡ࢡࡣࠊ㐃ᡂ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆከᣐⅬᐇࡉࢀࡿഴྥ࡟࠶ࡿࡇ࡜࠿ࡽࠊᐇ⾜᫬㛫ࡀ࡯ࡰ୍ᐃ⾜ࡍࡿ㝿࡟ၥ㢟࡜࡞ࡿࡶࡢ࡜ࡋ࡚ࠊ ࢔ࣉࣜࢣ࣮࡜࡞ࡿࠋࢩࣙࣥ㛫࣓ࢵࢭ࣮ࢪࢆ࡝ࡢࡼ࠺࡟᭱㐺࡟㏦ཷಙࡍ
ࡿ࠿ࠊ ྛᣐⅬࡢᇶ┙ࢩࢫࢸ࣒ࡢᕪ␗ࢆᇙࡵ࡞ࡀࡽ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆከᣐⅬ࡟ྠ᫬ᢞධࡋ࡚࠸ࡿࡼ࠺࡟ぢࡏ࠿ࡅࡿ࡟ࡣ࡝࠺ࡍࢀࡤⰋ࠸࠿࡟ὀ┠ࡋ࡚ࣇ࣮࣒࣮ࣞ࣡ࢡࢆタィࡋࡓࠋᮏタィ ᅗ  ࡛ࡣࠊ࢔ࣉࣜࢣ࣮ࢩࣙࣥ㛫࣓ࢵࢭ࣮ࢪࡣࠊࢤ࣮ࢺ࢙࢘࢖ࣀ࣮ࢻࢆ㏻ࡋ࡚ࠊ௚ࢧ࢖ࢺ࡟㌿㏦ࡍࡿࠋࢤ࣮ࢺ࢙࢘࢖ࣀ࣮ࢻ࡟ࡣ 3R3 ࢧ࣮ࣂ࡜࿧ࡤࢀࡿࠊ࣓ࢵࢭ࣮ࢪ㏻ಙࠊࢪࣙࣈᢞධࢆ⟶⌮ࡍࡿࣉࣟࢭࢫࢆᐇ⾜ࡍࡿࠋ3Ꮫ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬ ᖹᡂ 26 ᖺᗘඹྠ◊✲ ᭱⤊ሗ࿌᭩ 2015 ᖺ 5 ᭶ ィ⟬ࣉࣟࢭࢫ࠿ࡽࡢ㏻ಙ࡟⪏࠼ࡿ㧗࠸ࢫࢣ࣮ࣛࣅࣜࢸ࢕⤖ᯝࣇ࢓࢖ࣝࢆฟຊࡍࡿ௦⾲ࣉࣟࢭࢫࢆ㑅ฟࡍࡿሙྜࠊ඲࡚ࡢࣉࣟࢭࢫ࠿ࡽ᝟ሗࢆ㞟⣙ࡋ࡚ࡃࡿࡓࡵࠊྠᮇฎ⌮ࡀⓎ⏕ࡋࠊ࢔ࣉࣜࢣ࣮ࢩࣙࣥࡢ࣎ࢺᅗ 㸸࣓ࢵࢭ࣮ࢪࡢὶࢀࣝࢿࢵࢡ࡜࡞ࡗ࡚ࡋࡲ࠺ࠋࡇࢀࢆ㑊ࡅࡿࡓࡵ࡟ࣉタィ࡟ᙜࡓࡾ⪃៖ࡋࡓせ௳ࠊ࠾ࡼࡧࡑࡢ⌮⏤ࡣ௨ࣟࢭࢫࡑࢀࡒࢀࡀ⤖ᯝࢆฟຊࡍࡿྍ⬟ᛶࡀ㧗࠸ࠋୗࡢ㏻ࡾ࡛࠶ࡿࠋ ྠࡌࣉࣟࢭࢫ࠿ࡽ㏦ಙࡉࢀࡓ᝟ሗࡢ㏦ಙ㡰ࢧ࢖ࢺ㛫ࢿࢵࢺ࣮࣡ࢡ ,QWHUFRQQHFWLRQ ࡢಖᣢ ኱ከᩘࡢィ⟬ࢭࣥࢱ࣮࡛฼⏝ࡏࡊࡿࢆ࠼࡞ࣉࣟࢢ࣑ࣛࣥࢢࢆᐜ᫆࡟ࡍࡿࡓࡵ࡛࠶ࡾࠊ୪ิࣉ

࠸:HOONQRZQࢧ࣮ࣅࢫࡢࡳ࡛᝟ሗࡢࡸࡾ࡜ࡾࢆࣟࢢ࣑ࣛࣥࢢ࡟ᗈࡃ฼⏝ࡉࢀࡿ 03, ࡟࠾࠸࡚ࡶྠ⾜࠺ᵝࡢ࣏ࣜࢩ࡜࡞ࡗ࡚࠸ࡿࠋ┠ⓗ࡜ព⩏࡟࠾࠸࡚㏙࡭ࡓ࡜࠾ࡾࠊ㐠⏝࣏ࣜࢩタ㐃ᡂࢪࣙࣈࡢࢫࢣࢪ࣮ࣗࣜࣥࢢ

ィࡸྜព࡜࠸ࡗࡓᑟධࢥࢫࢺࢆୗࡆࡿࠋ ྛᣐⅬ࡟࠾࠸࡚ࢪࣙࣈࡀྠ᫬ᢞධࡉࢀ࡞ࡃ ᩘᣐⅬ࡛ࡢ㐃ᦠ࡟⪏࠼ࡿࢫࢣ࣮ࣛࣅࣜࢸ࢕࡚ࡶ㐃ᡂࡀྍ⬟ᛶ⬟ࡣᐇ㝿ࡢ኱つᶍィ⟬ᣐⅬᩘ࠾ࡼࡧ㐃ᡂࣉࣟࢢྛᣐⅬ࡟ࢪࣙࣈࢫࢡࣜࣉࢺࢆྠ᫬࡟ᢞධࡋࡓ࡜ࡋ࣒ࣛࡢᵓ㐀࠿ࡽࠊᩘᣐⅬ࡛ࡢ㐃ᦠ࡟⪏࠼ࡽࢀࡿࢫ࡚ࡶࠊᐇ⾜࣮࢟ࣗࡢᚅࡕ᫬㛫ࡣ᝿ᐃࡀ㞴ࡋࡃࠊࡑࢣ࣮ࣛࣅࣜࢸ࢕࡛඘ศ࡟ᢸಖྍ⬟࡛࠶ࡿࠋࢀࡽࡀྠ᫬࡟ᐇ⾜≧ែ࡟࡞ࡿಖドࡣ඲ࡃ࡞࠸ࠋࡲ ࢔ࣉࣜࢣ࣮ࢩࣙࣥ࡟࠾ࡅࡿ㏻ಙ᫬㛫࡜ィ⟬ࡓࠊᣐⅬࡑࢀࡒࢀࡀᐃࡵࡿ࣏ࣜࢩ࡟ᚑ࠸ࠊ࢔ࣉࣜ᫬㛫ࡢ㔮ࡾྜ࠸࡟㛵ࡋ࡚ᑐᛂྍ⬟ࢣ࣮ࢩࣙࣥࡢᐇ⾜᫬㛫࡟ࡣ᭱኱್ࡀỴࡲࡗ࡚࠾ࡾࠊ㏻ಙ᫬㛫࡜ィ⟬᫬㛫ࡢවࡡྜ࠸ࡣ࢔ࣉࣜࢣ࣮ࢩࣙ

௚ᣐⅬ࡛ᐇ⾜ࡉࢀࡿ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆ↓㝈኱࡟ࣥ࡟ᛂࡌ࡚㐪࠺ࠋ㉸㐣ࡋ࡚ࡋࡲࡗࡓ㏻ಙ᫬㛫࡟ᑐᚅࡕ⥆ࡅࡿࡇ࡜ࡣ୙ྍ⬟࡛࠶ࡿࠋࡋࠊィ⟬ࢆ୰᩿ࡍࡿ࠿㏻ಙࢆ㛫ᘬࡃ࠿ࠊ࠶ࡿ࠸ࡣ

ᑠࡉࡍࡂࡿ㏻ಙ㔞࡟ࡓ࠸ࡋ࡚」ᩘ࣓ࢵࢭ࣮ࢪࡢࣂࡇࡢせ௳࡟ᇶ࡙ࡁࠊ୰㛫Ⓨ⾲௨㝆ࡢᡂᯝ࡜ࡋ࡚௨ࢵࣇ࢓ࣜࣥࢢࢆ⾜࠺࠿࡜࠸ࡗࡓᡓ␎ࢆ࢔ࣉࣜࢣ࣮ୗࡢᐇ⿦ࢆ⾜ࡗ࡚࠸ࡿࠋ

ࢩࣙࣥẖ࡟ࡲࡓࠊᐇ⾜⎔ቃẖ࡟ኚ᭦ࡍࡿᚲせࡀ࠶3R3 ࢧ࣮ࣂࡿࠋᅗ  ࡛♧ࡋࡓ㏻ࡾࠊྛᣐⅬࡢࣟࢢ࢖ࣥࣀ࣮ࢻୖ࡛ 3R3 ࢧ࣮ࣂࡢ᝿ᐃእࡢ೵Ṇ࡟⪏࠼ࡿືసࡍࡿࣉࣟࢭࢫ࡛ࠊ࣓ࢵࢭ࣮ࢪࡢ⟶⌮࡜ࢫࢣࢪࣟࢢ࢖ࣥࣀ࣮ࢻࡣከࡃࡢ࣮ࣘࢨ࡛ඹ᭷ࡉࢀ࡚࠸ࡿ࣮ࣗࣜࣥࢢ࡟㛵ࡍࡿᶵ⬟ࡢ࡯࡜ࢇ࡝ࢆࡇࡢࣉࣟࢭࡓࡵࠊࣉࣟࢭࢫࡀᐇ⾜ྍ⬟࡞᫬㛫ࡀࢧ࢖ࢺ࣏ࣜࢩࢫ࡛ᐇ⌧ࡍࡿࠋ࡟ࡼࡗ࡚Ỵࡵࡽࢀ࡚࠸ࡿࠋࢧ࢖ࢺ㛫࣓ࢵࢭ࣮ࢪࡣ

せ௳ ࡟ᑐᛂࡍࡿⅭࠊ66+ ࢺࣥࢿࣜࣥࢢ࡟ࡼ

୙ពࡢࢧ࣮ࣂ೵Ṇ࡟ᑐࡋ࡚႙ኻ࣭㔜」ࢆ㉳ࡇࡉ࡞ࡾࢧ࢖ࢺ㛫ࢿࢵࢺ࣮࣡ࢡࢆᵓᡂࡍࡿࠋᡭ㡰࡜ࡋ࡚࠸ᚲせࡀ࠶ࡿࠋ

ࡣࠊ㏦ಙඖࢧ࢖ࢺ࠿ࡽ㐃ᦠඛࢧ࢖ࢺ࡬66+ ࢆ⏝࠸ࢧ࢖ࢺෆࢿࢵࢺ࣮࣡ࢡ ,QWUDFRQQHFWLRQ ࡚࣮ࣜࣔࢺࢺࣥࢿࣜࣥࢢ⤒㊰ࡢ☜❧࡜ࠊ3R3 ࢧ࣮ ィ⟬ࠊࣟࢢ࢖ࣥࣀ࣮ࢻ㛫ࡢ㏻ಙ࡜ࡋ࡚┤᥋㏻ࣂࡢ❧ࡕୖࡆࢆ⾜࠺ࠋ㐃ᦠඛ࡛❧ࡕୖࡀࡗࡓ 3R3ಙࡶࡋࡃࡣඹ᭷ࢫࢺ࣮ࣞࢪ࡟ࡼࡿࢹ࣮ࢱඹ᭷ࢆ฼

ࢧ࣮ࣂࡣඖࢧ࢖ࢺ࡬ࡢ 7&3,3 ᥋⥆ࢆ⾜࠺ࠋࡇࢀ࡟⏝ྍ⬟ࡼࡾࠊ㐃ᦠඛࢧ࢖ࢺ࡛ࡣ㏦ಙඖࢧ࢖ࢺᩘ࡟ᛂࡌࡓ

㐠⏝࣏ࣜࢩࡸ฼⏝ἲ࡟ࡼࡗ࡚᝟ሗඹ᭷ᡭἲ࡜ࡋ࡚࣮࣏࣮ࣟ࢝ࣝࢺࡀᾘ㈝ࡉࢀࡿࡀࠊせ௳  ࡟ࡼࡾ฼⏝࡛ࡁ࡞࠸ࡇ࡜ࡀ࠶ࡿࡓࡵ」ᩘࡢᡭἲࡀ㑅ᢥྍࡇࢀࡣ඘ศᑠࡉ࠸࡜⪃࠼ࡽࢀࡿࠋ

⬟࡛࠶ࡿᚲせࡀ࠶ࡿࠋ

ࡉࡽ࡟ࠊせ௳ ࡟ᑐᛂࡍࡿࡓࡵࠊࢧ࢖ࢺෆࢿ4Ꮫ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬ ᖹᡂ 26 ᖺᗘඹྠ◊✲ ᭱⤊ሗ࿌᭩ 2015 ᖺ 5 ᭶ࢵࢺ࣮࣡ࢡ࡟㛵ࡋ࡚ࡣࢥࢿࢡࢩࣙࣥࢆ௬᝿໬ࡋ࡚
࠸ࡿࠋ௬᝿໬ࢥࢿࢡࢩࣙࣥࡢ᧯సࡣ7&3,3ࢯࢣࢵࢺ࡟㢮ఝࡋࡓ࢖ࣥࢱ࣮ࣇ࢙࣮ࢫ࡛⾜ࡗ࡚࠾ࡾࠊ㏻ಙࣉࣟࢭࢫ࠿ࡽࡢ࣓ࢵࢭ࣮ࢪཷಙ࡟ᛂࡌࡓ࢖࣋ࣥ ࢺ ࢻ ࣜ ࣈ ࣥ ࡞ ᡭ ἲ ࢆ ࡜ ࡗ ࡚ ࠸ ࡿ ࠋ ࡇ ࢀ ࡟ ࡣ
OLEHYHQW ࣛ࢖ࣈࣛࣜࢆ฼⏝ࡋ࡚࠸ࡿࠋ⌧ᅾࡣせ௳  ࢆᐜ᫆࡟‶ࡓࡍࡓࡵ࡟ࠊඹ᭷ࢫࢺ࣮ࣞࢪ
ࢆ⏝࠸ࡓᡭἲࢆඃඛᐇ⿦ࡋ࡚࠸ࡿࠋඹ᭷ࢫࢺ࣮ࣞࢪࡣከᩘࡢࣉࣟࢭࢫ࠿ࡽࡢྠ᫬࢔ࢡࢭࢫࢆ᝿ᐃࡋ
࡚࠸ࡿࡓࡵࠊ㏻ಙࢆࣇ࢓࢖ࣝ໬ࡍࡿࡇ࡜࡟ࡼࡾࡇ

ࡢࢫࢣ࣮ࣛࣅࣜࢸ࢕ࢆ㏻ಙ࡟Ἴཬࡉࡏࡿࡇ࡜ࡀྍ

⬟࡛࠶ࡿࠋࡲࡓࠊせ௳  ࢆᐇ⌧ࡍࡿࡓࡵ࡟ࠊ

␗ᖖ⤊஢ࢆ᳨▱ࡋࠊ⤊஢ࡉࢀ࡚ࡋࡲࡗࡓ 3R3 ࢧ࣮㐃ᦠඛࢧ࢖ࢺ࡛ࠊࢪࣙࣈࡢᐇ⾜࡟࠿࠿ࢃࡽࡎ㏻ಙࣂࡣ෌㉳ືࢆ⾜ࡗࡓᚋࠊ௚᪉ࡢ 3R3 ࢧ࣮ࣂ࡟⌧ᅾෆᐜࢆಖᏑࡋ࡚࠾ࡃᚲせࡀ࠶ࡿࠋࡇࢀࡣ⌧ᅾඃඛ

ࡢ $&. ≧ἣࢆၥ࠸ྜࢃࡏࡿࠋࡲࡓࠊ⮬ศࡀಖᏑࡋ

ᐇ⿦ࡋ࡚࠸ࡿඹ᭷ࢫࢺ࣮ࣞࢪ࡟ࡼࡿ㏻ಙࡢࣇ࢓࢖

࡚࠾࠸ࡓ $&. ಖᏑࣇ࢓࢖ࣝࢆㄞࡳ㎸ࡳࠊ⮬ศࡢ $&.

ࣝ໬࡟ࡼࡗ࡚ᐜ᫆࡟㐩ᡂ࡛ࡁࡿࠋ⌧ᐇ⿦࡛ࡣࠊ㏻㏦ฟ≧ἣ࡜ࡍࡿࠋḟ࡟㏦ฟࡍࡿ࣓ࢵࢭ࣮ࢪࢆ≉ᐃಙ⏝ඹ᭷ࣇ࢓࢖ࣝෆࡢ᪤ㄞ࣓ࢵࢭ࣮ࢪᾘཤࡣࣇ࢓ࡍࡿࡓࡵ࡟ࡣ௨ୗࡢࣃࢱ࣮ࣥࢆ⏝࠸ࡿ࢖ࣝ༢఩࡛⾜࠸ࠊ࣓ࢵࢭ࣮ࢪ༢఩࡛ࡢᾘཤࡣ⾜ࢃD ㏦ಙഃ $&. ࡜ཷಙഃ $&. ࡀ୍⮴ࡍࡿሙྜ

࡞࠸ࠋࡇࢀࡣ⎔ቃ࡟ࡼࡗ࡚ྍྰࡀ࠶ࡾࠊࡲࡓ኱ࡁ

≉࡟ᑐฎࡣᚲせ࡜ࡏࡎࠊḟࡢᮍ $&. ࣓ࢵࢭ࣮ࢪࢆ࡞ࢥࢫࢺࡀ࠿࠿ࡿࡓࡵ࡛࠶ࡿࠋ㏦ฟ࣓ࢵࢭ࣮ࢪ࡜ࡍࡿࠋ

࣓ࢵࢭ࣮ࢪ࡟ࡣࠊ㏦ಙඖࠊཷಙඛࢆ♧ࡍ࣊ࢵࢲࡀE ㏦ಙഃ $&. ࡜ཷಙഃ $&. ࡀ୍⮴ࡋ࡞࠸ሙྜ

௜୚ࡉࢀࠊ㏦ಙඖ࡛ࡣ㏦ಙࣉࣟࢭࢫẖࠊ㐃ᦠඛ࡛ཷಙഃ࠿ࡽ $&. ࡀ㏦ಙഃ࡟ᡠࡗ࡚࠾ࡽࡎࠊ࣓ࢵࢭ

ࡣࠊཷಙࣉࣟࢭࢫẖ࡟ࣇ࢓࢖ࣝ໬ࡉࢀࡿࠋࡇࢀ࡟࣮ࢪࡀ◚ᦆࡋ࡚࠸ࡿྍ⬟ᛶࡀ࠶ࡿࡓࡵࠊ◚ᦆ࣓ࢵࡼࡾࠊせ௳  ࡀ㐩ᡂࡉࢀ࡚࠸ࡿࠋ

ࢭ࣮ࢪࣜࢫࢺ࡟ $&. ࢆ㏦ฟࡋ࡚࠸࡞࠸࣓ࢵࢭ࣮ࢪᅗ 㸸࣓ࢵࢭ࣮ࢪ㏦ཷಙࣉࣟࢺࢥࣝ

ࢪࣙࣈࡢᢞධࡣ㏦ಙඖഃ࡛㉳ືࡋࡓ 3R3 ࢧ࣮ࣂࡢ࣓ࢱࢹ࣮ࢱࢆಖᏑࡍࡿࠋࡉࡽ࡟ࠊ㏻ಙ⏝ඹ᭷ࣇ࡟タᐃࣇ࢓࢖ࣝࢆΏࡍࡇ࡜࡟ࡼࡗ࡚⾜ࢃࢀࡿࠋࡇ

࢓࢖ࣝࢆ㛢ࡌࠊ᪂ࡓ࡟᪂ࡋ࠸ࣇ࢓࢖ࣝࢆ㏻ಙ⏝ඹࡢタᐃࣇ࢓࢖࡛ࣝࡣࠊᣐⅬẖࡢࢪࣙࣈᢞධࢫࢡࣜ

᭷ࣇ࢓࢖ࣝ࡜ࡋ࡚సᡂࡍࡿࠋཷಙഃࡢ࢔ࣉࣜࢣ࣮

ࣉࢺࣇ࢓࢖ࣝྡࡸ  ࢆᐇ⌧ࡍࡿࡓࡵࡢタᐃ㡯┠ࢩࣙࣥࡣ◚ᦆࣜࢫࢺࢆぢ࡞ࡀࡽࠊヱᙜ࣓ࢵࢭ࣮ࢪ

ࡀྵࡲࢀ࡚࠸ࡿࠋࢆ☜ㄆࡋࡓሙྜࠊࡑࢀࢆ◚Რࠊ᪂ࡋ࠸㏻ಙ⏝ඹ᭷᭱ᚋ࡟⌧ᅾᐇ⿦ィ⏬ࡢẁ㝵࡜ࡋ࡚ࠊせ௳  ࡟ᑐࣇ࢓࢖ࣝ࠿ࡽ෌ᗘㄞࡳ㎸ࡳጞࡵࡿࠋ

ᛂࡍࡿⅭࠊ௚ࢧ࢖ࢺ 3R3 ࢧ࣮ࣂ࡜ࡢ㏻ಙ๓࡟ࠊᚲせ࡟ᛂࡌ࡚ 3R3 ࢧ࣮ࣂࢆ෌㉳ືࡍࡿࠋࡲࡓࠊ࣓ࢵ

࢔ࣉࣜࢣ࣮ࢩࣙࣥ㛫㏻ಙ $3,ࣛ࢖ࣈࣛࣜࢭ࣮ࢪ႙ኻ࣭㔜」࡟ᑐᛂࡍࡿⅭࠊ$&. ㏦ಙࢆ⏝࠸㏦ಙࣉࣟࢭࢫ࡜ཷಙࣉࣟࢭࢫࢆ㆑ูࡍࡿࢱࢢࢆタࡓᅗ ࡢࣉࣟࢺࢥࣝ࡟ࡼࡾ㏦ཷಙࢆ⾜࠺ணᐃ࡛࠶ᐃ ྍ ⬟ ࡞ ࣈ ࣟ ࢵ ࢟ ࣥ ࢢ

ࡿࠋ$3, 6HQG5HFHLYH ࡛࠶ࡿࠋ㆑ูࢱࢢ࡟㛵ࡋ࡚ࡣࠊ

33㏻ ಙ㏦ಙࣉࣟࢭࢫෆࠊཷಙࣉࣟࢭࢫෆ࡛ࡑࢀࡒࢀ㔜」
ࡢ࡞࠸ᩚᩘ್ࢆ࢔ࣉࣜࢣ࣮ࢩࣙࣥࣉࣟࢢ࣐ࣛࡀ௵ព࡟฼⏝ࡍࡿࠋࡇࢀࢆ࣊ࢵࢲ࡜ࡋ࡚௜୚ࡍࡿࡇ࡜
࡛ࠊ3R3 ࢧ࣮ࣂ࡛ࡢ㐺ษ࡞࣓ࢵࢭ࣮ࢪ᣺ࡾศࡅࢆ⾜࠺ࠋከࡃࡢሙྜࠊ㐃ᡂࡉࢀࡿ࢔ࣉࣜࢣ࣮ࢩࣙࣥ
5Ꮫ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬ ᖹᡂ 26 ᖺᗘඹྠ◊✲ ᭱⤊ሗ࿌᭩ 2015 ᖺ 5 ᭶

ࡣ 03, ࡟ࡼࡗ࡚ᐇ⿦ࡉࢀ࡚࠸ࡿ࡜⪃࠼ࡽࢀࡿࡓࡵࠊ ࣮ࢻ࡟࠾ࡅࡿࣉࣟࢭࢫᙉไ೵Ṇ࡬ࡢᑐฎࢆᐇ⿦ࡋ
ࡑࢀࡒࢀ࡟࠾ࡅࡿࣛࣥࢡࢆ฼⏝ࡍࡿ࡜㔜」ࡀ࡞࠸

࡚࠸ࡃࠋࡲࡓࠊ኱つᶍ᳨ド࡟ࡼࡾὙ࠸ฟࡉࢀࡓタ≧ែࡀᐇ⌧࡛ࡁࡿࠋせ௳ ࢆ‶ࡓࡍࡓࡵࠊ3R3ィࡢ୙㊊ศࢆᐇ⿦࡟⏕࠿ࡋ࡚࠸ࡃࠋ᭱⤊ⓗ࡟ࡣ࢜ࢧ࣮ࣂྠᵝࢥࢿࢡࢩࣙࣥࢆ௬᝿໬ࡋ࡚࠾ࡾࠊ⌧ᅾ࣮ࣉࣥࢯ࣮ࢫࢯࣇࢺ࢙࢘࢔࡜ࡋ࡚බ㛤ࡍࡿணᐃ࡛ࡣඹ᭷ࣇ࢓࢖ࣝࢩࢫࢸ࣒ࢆ฼⏝ࡍࡿᡭἲࢆඃඛᐇ

࠶ࡿࠋ
FDM ࢔ࣉࣜࢣ࣮ࢩࣙࣥഃ࡛ࡣࠊᆅ㟈Ἴື㸫ᘓ≀⿦ࡋ࡚࠸ࡿࠋ᣺ື㐃ᡂゎᯒ࢔ࣉࣜ࡟ᑐࡋ࡚ࠊྍど໬࢔ࣉࣜࢆసᮏࣇ࣮࣒࣮ࣞ࣡ࢡࡢ฼⏝ᡭ㡰ࡣ௨ୗ࡛࠶ࡿࠋᡂࡋࠊィ⟬࣭ྍど໬㛫ࡢ㐃ᡂ࢔ࣉࣜ࡜ࡋ࡚࢔ࣉࣜ ࡑࢀࡒࢀࡢ࢔ࣉࣜࢣ࣮ࢩࣙࣥࢆᣐⅬ㛫 33 ㏻ಙ

࡜ࣇ࣮࣒࣮ࣞ࣡ࢡ཮᪉ࡢᛶ⬟࣭⢭ᗘホ౯ࠊㄢ㢟Ⅼ$3, ࡟ࡼࡾᨵኚࡍࡿࠋࡢὙ࠸ฟࡋ➼ࢆ⾜࠺ࠋࡇࢀࡣࠊࡇࢀࡲ࡛ࡢ◊✲࡟

 3R3 ࢧ࣮ࣂࡢタᐃࣇ࢓࢖ࣝࢆసᡂࡍࡿࠋࡇࢀ࡟

࠾࠸࡚ࠊ3 ḟඖ⇕ఏᑟ᪉⛬ᘧࡢ᭷㝈ᕪศἲ㸦FDM㸧

ࡣ㐃ᦠࡉࡏࡿᣐⅬࡢࣟࢢ࢖ࣥࣀ࣮ࢻྡࡸྛᣐⅬ࡛ゎᯒࢥ࣮ࢻ࡟ྍど໬ฎ⌮⏝ࡢ࣮ࣝࢳࣥࢆᑟධࡋࡓᐇ⾜ࡍࡿࢪࣙࣈᢞධࢫࢡࣜࣉࢺࣇ࢓࢖ࣝྡࠊ࢔ࣉ࢔ࣉࣜ࡟ࡼࡿ㐃ᡂゎᯒࢆ⾜ࡗࡓ▱ぢ࠿ࡽⓎᒎࡋࡓࣜࢣ࣮ࢩࣙࣥࡢ౫Ꮡ㛵ಀࢆグ㏙ࡍࡿࠋෆᐜ࡜࡞ࡿࠋ᭱⤊ⓗ࡟ྍ⬟࡛࠶ࢀࡤࠊᆅ㟈Ἴື㸫 ᣐⅬẖ࡛ᐇ⾜ࡉࢀࡿࢪࣙࣈᢞධࢫࢡࣜࣉࢺࢆ⏝ᘓ≀᣺ື㐃ᡂ࡟౑ࢃࢀ࡚࠸ࡿ༢୍ᣐⅬ⏝ࡢ࢝ࢵࣉពࡍࡿࠋࣛࢆᨵ㐀ࡋࠊ3 ᣐⅬ㐃ᡂ࢔ࣉࣜࢣ࣮ࢩࣙࣥࡢᐇ᪋ ౫Ꮡ㛵ಀ࡟ᚑࡗ࡚᭱ึ࡟ᐇ⾜ࡍࡿ࢔ࣉࣜࢣ࣮ࢩࢆ┠ᣦࡋ࡚࠸ࡿࠋ2SHQ)2$0 ࢔ࣉࣜࢣ࣮ࢩࣙࣥഃ࡛ࡣࠊ௒ᚋࡣᇶ┙ࣙࣥࢆ㓄⨨ࡍࡿᣐⅬ࡛సᡂࡋࡓ 3R3 ࢧ࣮ࣂࢆ㉳ືࡍࡿࠋࢭࣥࢱ࣮࡛ࡢ኱つᶍ᳨ド࡜ࠊᐇ㝿ࡢࢭࣥࢱ࣮ࢧ࣮ ௚ᣐⅬ࡛ࡢ 3R3 ࢧ࣮ࣂ㉳ື࡟క࠸ࠊࣟࢢ࢖ࣥ ,'ࠊࣅࢫ࡜ࡋ୍࡚⯡฼⏝⪅ࡢ฼⏝ࢆ᝿ᐃࡋࡓ㈇Ⲵࢸࢫࣃࢫ࣮࣡ࢻࢆධຊࡍࡿࠋࢺ࡜࣮ࣘࢨ฼⏝ࡢ࢖ࣥࢱ࣮ࣇ࢙࣮ࢫࡢᩚ⌮ࡀ௒ᚋࡢㄢ㢟࡛࠶ࡿࠋᇶ┙ࢭࣥࢱ࣮࡛ࡢ኱つᶍ᳨ド࡛ࡣࠊ௒ᖺᗘࡢ㐍ᤖ≧ἣ࡜௒ᚋࡢᒎᮃ⌧ᅾⓎ⏕ࡋ࡚࠸ࡿ෌⌧ᛶ࡟ஈࡋ࠸ᐇ⾜᫬㛫ࡢ኱ࡁ㐍ᤖ≧ἣࡣࠊ)'0 ࢔ࣉࣜࢣ࣮ࢩࣙࣥഃࡣࣇ࣮ࣞ࡞ኚືࡢཎᅉ✲᫂࡜ᑐ⟇ࢆ᪋ࡍࡇ࡜࡜ࠊࢭࣥࢱ࣮࣒࣮࣡ࢡタィ࡟ࡘ࡞ࡀࡿᑠつᶍ᳨ドࢆ 5(1.(, 93(ࡢ฼⏝つ⣙࡜ࡢᩚྜᛶࢆワࡵࡿసᴗࡀᚲせ࡛࠶ࡿࠋୖ࡛⾜ࡗࡓࠋࢩࢫࢸ࣒㛤Ⓨഃࡢ㐜ࢀ࡟ࡼࡾࠊணᐃࡇࡢၥ㢟࡟㛵ࡋ࡚ࡣࠊ5,67࡜ࡢᡴࡕྜࢃࡏࢆ㛤ጞࡋ࡚࠸ࡓࣇ࣮࣒࣮ࣞ࣡ࢡୖ࡛ࡢ᳨ドࡀᮍᐇ᪋࡛࠶ࡋ࡚࠾ࡾࠊࠕி࡛ࠖࡢ฼⏝ࢆど㔝࡟ධࢀ࡚௒ᚋࡢタࡿࠋィ࣭ᐇ⿦࡟཯ᫎࡉࡏࡿయไࢆᩚ࠼࡚࠸ࡿࠋࡲࡓࠊ2SHQ)2$0࢔ࣉࣜࢣ࣮ࢩࣙࣥഃࡣᇶᮏⓗ࡞ᐇ⿦࢔ࣉࣜࢣ࣮ࢩࣙࣥ࡜࣏ࢫࢺฎ⌮㐃ᦠ࡟㛵ࡋ࡚ࡣࠊࢆ⾜࠸ࠊ␯㏻ࢸࢫࢺࢆᐇ᪋ࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋ

3$1$&0  ࡛ ࡢ Ⓨ ⾲ ࡟ ᑐ ࡋ ࡚ ࠊ  LQ VLWXࢩࢫࢸ࣒㛤Ⓨ࡟ࡘ࠸࡚ࡣᐇ⿦ࡀ㞴⯟ࡋ࡚࠾ࡾࠊYLVXDOL]DWLRQ࡬ࡢᒎ㛤࡟ࡘ࠸࡚ࠊ㛵ᚰࢆᐤࡏࡽ௒ᚋ⾜࠺ணᐃ࡛࠶ࡗࡓࣟࢢ࢖ࣥࣀ࣮ࢻ࡟࠾ࡅࡿࣉࢀࡓࠋྍど໬࡟㛵ࡋ࡚ࡣࠊ◊✲ᑐ㇟࡜◊✲ෆᐜࠊࣟࢭࢫᙉไ೵Ṇ࡬ࡢᑐฎᡭἲࡢタィࢆ⧞ࡾୖࡆ࡚ࡉࡽ࡟ࡣ◊✲ẁ㝵࡟ࡼࡗ࡚ྍど໬ࡢෆᐜࡀኚ໬ࡍᐇ᪋ࡋࡓࠋ௒ᖺᗘ┠ᶆ࡟ᑐࡍࡿ㐩ᡂᗘྜ࠸ࡣ ࡿࡓࡵ࡟ࠊ୍⯡ⓗ࡞ࣇ࣮࣒࣮ࣞ࣡ࢡ࡜ࡋ࡚ᐃ⩏ࡍ⛬ᗘ࡛࠶ࡾࠊ཮᪉ࡢ࢔ࣉࣜࢣ࣮ࢩࣙࣥ࡟࠾ࡅࡿᥦࡿࡢࡀᅔ㞴࡛࠶ࡿࡀࠊ௒ᚋࡢ◊✲ᒎ㛤࡜ࡋ࡚ணᐃ᱌ࣇ࣮࣒࣮ࣞ࣡ࢡࢆ฼⏝ࡋࡓ᳨ド࡜ࣇ࣮࣒࣮ࣞ࣡ࡋ࡚࠸ࡿ࢔ࣉࣜࢣ࣮ࢩࣙࣥ࡜࣏ࢫࢺฎ⌮㐃ᦠ࠿ࡽࢡᐇ⿦ࡢ୍㒊ࡀ✚ࡳṧࡋ࡜࡞ࡗࡓࠋ㐃ᡂィ⟬࡟㐍ࡴ㏵୰ࡢẁ㝵࡛ㄢ㢟タᐃࢆࡍࡿணᐃ

௒ᚋࡢᒎᮃ࡜ࡋ࡚ࡣࠊࢩࢫࢸ࣒ഃ࡟࡚ᐇ⿦ࢆ኱つ࡛࠶ࡿࠋࡉࡽ࡟ࠊOpenFOAM ࢔ࣉࣜࢣ࣮ࢩࣙࣥ࡟ᶍ᳨ドࡀྍ⬟࡞᭱ప㝈ࡲ࡛᪩ᛴ࡟⾜࠸᳨ドࢆ⾜࠺ࠋ ࠾࠸࡚ࡶ,ࢫࢣ࣮ࣛࣅࣜࢸ࢕࡜ࣟࣂࢫࢺᛶࢆᨵၿࡍࡿࡓࡵ࡟ᮏ◊✲ㄢ㢟࡛㛤Ⓨࡋࡓࣇ࣮࣒࣮ࣞ࣡ࢡࡲࡓࠊ᳨ド࡜୪⾜ࡋ࡚㏣ຍタィ࡛࠶ࡿࣟࢢ࢖ࣥࣀ6Ꮫ㝿኱つᶍ᝟ሗᇶ┙ඹྠ฼⏝࣭ඹྠ◊✲ᣐⅬ ᖹᡂ 26 ᖺᗘඹྠ◊✲ ᭱⤊ሗ࿌᭩ 2015 ᖺ 5 ᭶ࢆ฼⏝ࡍࡿணᐃ࡛࠶ࡿࠋࡇࢀࡽࡶᇶ┙ࢭࣥࢱ࣮ࡸ

“Temporalparallelapproachtononlinearࠕி࡛ࠖࢧ࣮ࣅࢫ࡜ࡋ࡚ᥦ౪ྍ⬟࡞ရ㉁ࡢᐇ⌧ࢆ

problems with multiple┠ᣦࡍࠋ

ynamics Days Europe, P2-5, 8-12 September 2014,

time-scales”, XXXIV

University of Bayreuth, Germany◊✲ᡂᯝࣜࢫࢺ Ꮫ⾡ㄽᩥ  ௳

K. Takahashi, T. Kobayashi, T. Akamura, Y. Nagao,T. Kobayashi, T. Akamura, Y. Nagao, T. Iwasaki, K.

T. Iwasaki, K. Nakano, M. Aoyagi, “Evaluation ofNakano, K. Takahashi, M. Aoyagi,͒ “Interaction between

acoustic energy generation and absorption in acompressible fluid and sound in a flue instrument”, Fluid

flue instrument with Howe's energy corollary”,

Dyn. Res. 46 061411, 2014

XXXIV ᅜ㝿఍㆟ࣉࣟࢩ࣮ࢹ࢕ࣥࢢࢫ

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T. Kobayashi, Y. Morie, H. Jitsumoto, T. Takami,ᐿᮏⱥஅᑠᯘὈ୕ᯇᮏṇᬕ⁪⃝┿୍ᮁ୕

M. Aoyagi, “A New Bottleneck in Large-Scaleᾆಙ୍୰ᓥ◊࿃」ᩘᣐⅬ฼⏝ࢆᐇ⌧ࡍࡿ࣮ࣘ

Numerical Simulations of Transient Phenomena,ࢨ㥑ືᆺ࣭ᣐⅬ༠ㄪࣇ࣮࣒࣮ࣞ࣡ࢡ㟁Ꮚ᝟ሗ㏻

and Cooperation Between Simulations and theಙᏛ఍ᢏ⾡◊✲ሗ࿌ CPSY2014-20 (SWoPP'14),

Post-Processes”, 3.17 MS: High Performance

Vol.114, No.155, pp155-159, 2014 July

ComputingandPan-American
Mechanics

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Buenos

2014,

Days

Europe,University

P2-5,

of

8-12

Bayreuth,

1st.

Computational(PANACM2015),

Dynamics

ᒾୖ⩧㸪ሐඖẼ㸪୰㔝೺୍㑻㸪ᑠᯘὈ୕㸪㧗ᶫබAires,ஓ, ࠕ࢚ࢵࢪࢺ࣮ࣥ࡟࠾ࡅࡿὶయ㡢※ࡢᩘ್ⓗホ౯ࠖ, 21aPS-20, ᪥ᮏ≀⌮Ꮫ఍ ➨ 70 ᅇᖺḟ኱఍,

Argentina, 27-29 April, 2015

2015 ᖺ 3 ᭶, ᪩✄⏣኱Ꮫ
S.

Iwagami*,G.

Tsutsumi,K.

Nakano,T.

Kobayashi, T. Takami, K. Takahashi, “NumericalሐඖẼ㸪ᒾୖ⩧㸪୰㔝೺୍㑻㸪ᑠᯘὈ୕㸪㧗ᶫබ

Analysis on the Lighthill Sound Sources ofஓ, ࠕ࢚࢔࣮ࣜࢻᴦჾ࡛ࡢࢪ࢙ࢵࢺࡢᏳᐃᛶゎᯒࠖ,

Oscillating Jet”, Contributed Session on Advanced

21aPS-21, ᪥ᮏ≀⌮Ꮫ఍ ➨ 70 ᅇᖺḟ኱఍, 2015

Methods in Computational Fluid Dynamics II, 1st.

ᖺ 3 ᭶, ᪩✄⏣኱Ꮫ

Pan-American
Mechanics

Congresson(PANACM2015),

Computational
BuenosAires,ᐑᕝ▴ᫀ㸪ᑠᯘὈ୕㸪㧗ᶫබஓ㸪ྜྷᕝⱱ, ࠕὶయ

Argentina, 27-29 April, 2015㡢㡪ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡿ᭤⟶ࡢ㡢㡪ゎᯒࠖ,
21aPS-22, ᪥ᮏ≀⌮Ꮫ఍ ➨ 70 ᅇᖺḟ኱఍, 2015
ᖺ 3 ᭶, ᪩✄⏣኱Ꮫ

T. Kobayashi, T. Iwasaki, K. Takahashi, T. Takami,M. Aoyagi, “A numerical simulation for a tone holeof flue musical instrument”, XXXIV Dynamics ࡑࡢ௚㸦≉チ㸪ࣉࣞࢫⓎ⾲㸪ⴭ᭩➼㸧Days࡞ࡋEurope,P2-5,8-12

September

2014,

University of Bayreuth, Germany
T.

Takami,M.

Shimokawa,

T.

Kobayashi,

7