ÉÓÓÎ 0286-7419

ూԈ‫ޙ۾‬

ɿɮʚ˂ɿɮɲʽʃʅʽʉ˂
‫۾‬᛼ൌᇼ‫ޙ‬᜛አʁʃʐʪࢿ‫ڨ‬

ＳＥＮＡＣŗŰŭįĵĸġġŏŰįĲġġġġĳıĲĵȽĲ

Supercompung System
Cyberscience Center
Tohoku University
www.ss.isc.tohoku.ac.jp

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(#:䋺
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㔚⹤⇟ภ䋨ౝ✢䋩 
GOCKNଥ䊶ቶฬ  
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  ᄢ್䊒䊥䊮䉺䇮೑↪⠪┵ᧃ╬䈱
೑↪




 

ฦ䉶䊮䉺䊷ᐢႎ䈱㑛ⷩ䌾

ᱧઍ䈱ᄢဳ⸘▚ᯏ╬䈱ዷ␜䋺䌾䋺⋧⺣ຬਇ࿷ᤨ

೑↪⠪⺣⹤ቶ
ዷ␜ቶ ಽᢔ䍘䍻䍩䍽䍋䍎䍞ඳ‛㙚 䌾
✚ോଥ  
U[QOW"KUEVQJQMWCELR✚ോ䈮㑐䈜䉎䈖䈫䌾

ળ⸘ଥ  
MCKMGK"KUEVQJQMWCELRળ⸘䈮㑐䈜䉎䈖䈫䇮⽶ᜂ㊄䈱⺧᳞䈮㑐䈜䉎䈖䈫䌾

౒ห⎇ⓥᡰេଥ

  
TUUGE"KUEVQJQMWCELR౒ห⎇ⓥ䇮⸘▚ᯏ䉲䉴䊁䊛䈮㑐䈜䉎䈖䈫

䌾

䋨䋩౒ห೑↪ᡰេଥ   
WMGVWMG"KUEVQJQMWCELR೑↪ᚻ⛯䈐䇮೑↪⋧⺣䇮⻠⠌ળ䇮䊤䉟䊑䊤䊥䇮䉝䊒䊥䉬䊷䉲䊢䊮䈮㑐䈜䉎䈖䈫䌾

  
PGVUGE"KUEVQJQMWCELR䊈䉾䊃䊪䊷䉪䈮㑐䈜䉎䈖䈫䌾

྾⎇ⓥ㐿⊒ㇱ
㓏  ੖㓏 ┵ᧃᯏቶ

 

2% ┵ᧃᯏ䋨: ┵ᧃ䋩





ਃ
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䊈䉾䊃䊪䊷䉪ଥ㧔 㧕ౝߪ᧲ർᄢቇౝߩߺߩౝ✢㔚⹤⇟ภߢߔ‫ޕ‬㕍⪲ጊ࡮Ꮉౝ࿾඙એᄖ߆ࠄߪ㗡ߦ  ࠍട߃߹ߔ‫ޕ‬ᧄ⹹䈱ฬ೨䇸㪪㪜㪥㪘㪚䇹䈱↱᧪㩷ᤘ๺  ᐕ䈮᧲ർ࿾඙䈱ᦨೋ䈱㔚ሶ⸘▚ᯏ䈫䈚䈩䇮᧲ർᄢቇ㔚᳇ㅢା⎇ⓥᚲ䈮䈍䈇䈩ቢᚑ䈘䉏䈢䊌䊤䊜䊃䊨䊮ᑼ⸘▚ᯏ䈱ฬ೨䈪 5'0#% 5'0FCK#WVQOCVKE%QORWVGT 䈎䉌䈫䈦䈩๮ฬ䈘䉏䈢䇯㩷  =Ꮞ㗡⸒?

㧞㧜㧝㧠ᐕ᧲ർᄢቇ෸߮ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯߳ߩᦼᓙ
⁛┙ⴕ᡽ᴺੱᶏᵗ⎇ⓥ㐿⊒ᯏ᭴ ࿾⃿ࠪࡒࡘ࡟࡯࠲࠮ࡦ࠲࡯
࠮ࡦ࠲࡯㐳 ᷰㆺ ࿡ᒾ ᐕ߇᣿ߌ‫ޔ‬㧞㧜㧝㧠ᐕߣߥࠅ߹ߒߚ‫ޕ‬ᝄࠅ㄰ߞߡߺࠇ߫‫ޔ‬㧞㧜㧝㧟ᐕ߽᭽‫⥄ߥޘ‬ὼἴኂ߇޽ࠅ߹ߒߚ‫ޔߌࠊࠅߣޕ‬દ⼺ᄢፉߢߩ㐳ᤨ㑆ߦࠊߚࠆᄢ㔎‫ߪߢࡦࡇ࡝ࠖࡈޔ‬Ꮒᄢߥบ㘑߇ⷅ޿‫ⵍߩࠄࠇߘޔ‬ኂߪ↟ᄢߥ߽ߩ߇޽ࠅ߹ߒߚ‫ޕ‬㧞㧜㧝㧝ᐕ㧟᦬ߩ᧲ᣣᧄᄢ㔡ἴએ᧪‫ޔ‬਎㑆߆ࠄߪ‫੍ߢࡦ࡚ࠪ࡯࡟ࡘࡒࠪޟޔ‬᷹ߛ‫੍ޔ‬᷹ߛߣ⸒ߞߡ޿ࠆ߇‫⑼▚⸘ޔ‬ቇ⠪ߪ޿ߞߚ޿૗ࠍߒߡ޿ߚߩ߆‫⑼▚⸘ߣޠ‬ቇߩ⎇ⓥ⠪ߪ♾ᒢߐࠇ⛯ߌߡ޿߹ߔ‫ޕ‬ ⏕߆ߦߘߩㅢࠅߢ‫⑼▚⸘ޔ‬ቇߪ੍᷹ߩ⎇ⓥߢߔ‫੍ޕ‬᷹ߔࠆߎߣߦࠃߞߡ‫ޔ‬࿖᳃↢ᵴߦ⽸₂ߒߥߌࠇ߫ߥࠅ߹ߖࠎ‫ޔߛߚޕ‬࿾⃿⑼ቇߩಽ㊁ߢߪ‫ޔ‬บ㘑ߩㅴ〝߿࿾㔡࡮ᵤᵄߥߤ‫ޔ‬᳇⽎ᬺോᴺߦࠃߞߡ‫⑼▚⸘ߩ⥸৻ޔ‬ቇ⠪߇੍᷹ߢ߈ߚߣߒߡ߽‫ࠍࠇߘޔ‬਎㑆ߦ౏⴫ߔࠆߎߣ
߇⑌ߓࠄࠇߡ޿߹ߔ‫ޔߒ߆ߒޕ‬૗ࠄ߆ߩᖱႎ⊒ାߪߢ߈ߚߩߢߪߥ޿߆ߣ޿߁ߎߣ߇໧㗴ߣߥߞߡ߅ࠅ‫⑼▚⸘߽ߘ߽ߘޔ‬ቇߪ૗ߩߚ߼ߦ޽ࠆߩ߆߇⼏⺰ߦߥߞߡ޿߹ߔ‫ޕ‬ ‫ޟ‬੩ࠦࡦࡇࡘ࡯࠲‫߁૶ࠍޠ‬㧴㧼㧯㧵ᚢ⇛ࡊࡠࠣ࡜ࡓߦߪ‫ޔ‬ᖱႎ⊒ାࠍߤߩࠃ߁ߦⴕ߁߆
ߦߟ޿ߡᬌ⸛ߔࠆࡢ࡯ࠠࡦࠣࠣ࡞࡯ࡊ߇㧞㧜㧝㧝ᐕߦ⸳ߌࠄࠇ‫࡞ࠣࠣࡦࠠ࡯ࡢߩߘߦᦝޔ‬࡯ࡊࠍ᜛ᄢߐߖߚᖱႎ⊒ାዊᆔຬળ߇ቇⴚળ⼏ߩਅߦ⸳⟎ߐࠇߡ‫⚂ޔ‬㧞ᐕඨߦࠊߚߞߡᬌ
⸛ࠍⴕߞߡ߈߹ߒߚ‫ޔߪߢߎߘޕ‬ᖱႎ⊒ାߩ⽿છࠍߤߎ߇ᜂ߁ߩ߆‫ޔߚ߹ޔ‬᳇⽎ᬺോᴺߥ
ߤᴺᓞߣߩ㑐ଥ‫ޔ‬᭽‫⃻ߥޘ‬ᬺᯏ㑐ߣߩ㑐ଥࠍߤ߁ߔࠆߩ߆╬߇⌀೶ߦ⼏⺰ߐࠇߡ߈ߡ߅ࠅ‫ޔ‬ߘߩႎ๔ᦠ߇߹߽ߥߊ౏㐿ߐࠇ߹ߔ‫ޔߛߚޕ‬ႎ๔ᦠ߇಴ߡ‫ߪߢࠅࠊ⚳ߢࠇߘޔ‬ήߊ‫▚⸘ޔ‬⑼ቇߪ૗ߩߚ߼ߦ޽ࠅ‫ߡ޿⛯ߣߞߕ߽ࠄ߆ࠇߎߪ⺰⼏ߩߎޔ߆߈ߴߊ޿ߡߒߦ߁ࠃߩߤޔ‬޿ߊߣᕁ޿߹ߔ‫⑼▚⸘ޕ‬ቇ⠪ߩ⽿ോߪ㕖Ᏹߦ㊀޿߽ߩߛߣ⠨߃߹ߔ‫ޕ‬ ߘߩ৻ᣇ‫▚⸘ޔ‬ᯏߘߩ߽ߩࠍ⎇ⓥߒߡ޿ࠆ⸘▚ᯏ⑼ቇ⠪ߪ‫ޔ‬‫ޟ‬㧝૏ߢߔ߆‫ޔ‬㧞૏ߢߪ޿ߌ
ߥ޿ߩߢߔ߆‫⹤ߢޠ‬㗴ߦߥߞߚࠃ߁ߦ‫▚⸘ߩߘޔ‬ᯏ߇૗ߩߚ߼ߦ૶ࠊࠇࠆߩ߆ࠍ޽߹ࠅ⠨߃ߡ޿ߥ޿⎇ⓥ⠪߽৻ㇱߦߪ޿߹ߔ‫▚⸘ޔߛߚߛߚޕ‬ᯏߪṶ▚ㅦᐲ߇ㅦߌࠇ߫޿޿ߣ⠨߃ߡ޿ࠆ⸘▚ᯏ⑼ቇ⠪߇޿ࠆߩߢߔ‫ޔ߇ࠅߚ޽ߩߎޕ‬ේሶജ᧛ߦߥߙࠄ߃ߡ‫࠲࡯ࡘࡇࡦࠦޔ‬᧛ߣ๭߫ࠇࠆࠁ߃ࠎߢߔ‫ޕ‬ ߎࠇߦኻߒߡ‫⃻ޔ‬࿷‫ޔ‬‫࠻ࠬࡐޟ‬੩‫▚⸘ޔߢࠎࠄߦࠍޠ‬ᯏ߇૗ߩߚ߼ߦ޿ࠆߩ߆‫߁ࠃߩߤޔ‬ߥ⎇ⓥಽ㊁ߦߪ‫▚⸘ߥ߁ࠃߩߤޔ‬ᯏ߇ะ޿ߡ޿ࠆߩ߆߽⼏⺰ߐࠇߡ޿߹ߔ‫ߦ߼ߚߩߎޕ‬㧟ߟߩ૞ᬺㇱળ߇ᢥㇱ⑼ቇ⋭ߩਅߢ‫ޔ‬㧞ᐕ೨ߦ⸳┙ߐࠇ߹ߒߚ‫ߩߎޕ‬ਛߩ৻ߟߣߒߡ‫ࠗࠨޔ‬ࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯‫᧲ޔ‬ർᄢቇ‫ޔ‬ᶏᵗ⎇ⓥ㐿⊒ᯏ᭴ߩ⎇ⓥ⠪߇ਛᔃߦߥߞߡ‫ోޔ‬࿖ߩ  
ᄢቇ࡮⎇ⓥᯏ㑐ߣㅪ៤ߒߥ߇ࠄ‫ޔ‬࿾⃿⑼ቇߣ‛૞ࠅࠍᄢ߈ߥ࠹࡯ࡑߣߒߡ‫ߦࠄࠇߘޔ‬ะ޿ߚ⸘▚ᯏࠍ㐿⊒ߔࠆࡈࠖ࡯ࠫࡆ࡝࠹ࠖࠬ࠲࠺ࠖࠍⴕߞߡ޿ࠆ૞ᬺㇱળ߇޽ࠅ߹ߔ‫ߢߎߎޕ‬ߪ‫ޔ‬Ṷ▚ㅦᐲߛߌߢήߊ‫࠼ࡦࡃ࡝ࡕࡔޔ‬᏷‫౉ޔ‬಴ജߩ޽ࠅᣇߥߤ‫ޔ‬᭽‫ⷞߥޘ‬ὐ߆ࠄᬌ⸛ߒ
ߡ߈߹ߒߚ‫⚳ᦨߩߎޕ‬ႎ๔ᦠ߽߹߽ߥߊ౏⴫ߐࠇ߹ߔ‫ߩࠄߜߎޔߛߚޕ‬ᣇ߽ႎ๔ᦠ߇಴ߡ
⚳ࠊࠅߣ޿߁ߎߣߢߪߥߊ‫ߛ߹ߛ߹ޔ߽ߡߒߣߚߞ޽ߢ⊛ࠕࠖ࠹ࡦ࡜ࡏ߃ߣߚޔ‬ᬌ⸛ࠍ⛯ߌߡ޿ߊᔅⷐᕈ߇޽ࠅ߹ߔ‫ޕ‬ ߎߩࠃ߁ߥ⢛᥊ߩਛ‫ߩ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬ᨐߚߔߴ߈ᓎഀߪ‫ߔ߹ߔ߹ޔ‬㊀ⷐߦߥߞߡ߈ߡ޿߹ߔ‫ޕ‬࿾⃿ࠪࡒࡘ࡟࡯࠲ߪ‫੹ޔ‬ᐕᐲࠃࠅ‫ޔ‬࿾⃿⑼ቇߩ⎇ⓥ⠪ࠦࡒࡘ࠾࠹ࠖ
ߩߚ߼ߩࡑࠪࡦߣߒߡᄢ߈ߊߘߩ૏⟎ߠߌࠍᄌᦝߒ߹ߒߚ‫ߦࠇߎޕ‬ኻߒ‫ࠛࠗࠨ࡯ࡃࠗࠨޔ‬ࡦࠬ࠮ࡦ࠲࡯ߪ‫ోޔ߽ࠄ߆ࠇߎޔ‬࿖ߩ⸘▚ᯏ߿ࡀ࠶࠻ࡢ࡯ࠢࠍ↪޿ߚ⎇ⓥࠍⴕߞߡ޿ࠆ‫ޔ‬᏷ᐢ޿⎇ⓥಽ㊁ߩ⸘▚ᯏⅣႺߩࡃ࠶ࠢࡏ࡯ࡦߣߥࠆߛߌߢߥߊ‫ޔ‬ᢎ⢒߿⎇ⓥߩਛᔃᯏ㑐ߣߒߡߩᵴべ߇ᦼᓙߐࠇߡ޿߹ߔ‫ޕ‬ ᄢቇߩၮ⋚࠮ࡦ࠲࡯ߩਛߦߪ‫ߩߘޔ‬ሽ࿷ᗧ⟵߇໧ࠊࠇߡ޿ࠆ࠮ࡦ࠲࡯߽޽ࠅ߹ߔ‫ߦ․ޕ‬ᴺੱൻᓟߪ‫ޔ‬ᄖㇱ߆ࠄߢߪήߊ‫ޔ‬ᄢቇߩ⚻༡㒯ߦߘߩᔅⷐᕈ߇ขࠅߑߚߐࠇߡ޿ࠆ࠮ࡦ࠲
࡯߽޽ࠅ߹ߔ‫ߩߘޕ‬ਛߢ‫ޔߪ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬዁᧪ߩࠪࠬ࠹ࡓࠍ߽ⷞ㊁ߦ౉ࠇ‫ޔ‬ᐢ▸ߢⓍᭂ⊛ߥᢎ⢒࡮⎇ⓥ࡮ᡰេᵴേࠍⴕߞߡ޿ࠆ࠮ࡦ࠲࡯ߩ৻ߟߢ޽ࠆߣᕁ޿߹ߔ‫ޕ‬ߚߛ‫ޔ‬㕖Ᏹߦᐢ▸ߥᵴേࠍⴕߞߡ޿ࠆഀߦߪ‫߇ࡈ࠶࠲ࠬޔ‬ዋߥ޿ߎߣ߇৻⇟ߩ᳇߇߆ࠅߢ
ߔ‫ߪࠇߎޕ‬એ೨߆ࠄ᳇ߦߥߞߡ޿ࠆߎߣߢ‫᧚ੱޔ‬㕙ߢߩᄢቇࠨࠗ࠼ߩࠃࠅ޿ߞߘ߁ߩߏ㈩ᘦࠍᓮ㗿޿ߒߚ޿ߣߎࠈߢߔ‫ޕ‬ 㧞㧜㧝㧠ᐕ߇ߤߩࠃ߁ߥᐕߦߥࠆ߆ࠊ߆ࠅ߹ߖࠎ߇‫᧲ޔ‬ർᄢቇ߇ᣣᧄߩ⑼ቇ⎇ⓥߩߚ߼
ߩⷐߩ৻ߟߢ޽ࠅ‫᧲ߡߒߘޔ‬ർᄢቇߩਛߢ‫ߣߎࠆ޽ߢⷐ߇࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬ߪ㑆㆑޿޽ࠅ߹ߖࠎ‫߽⪲⸒߁޿ߣ࠲࡯࠺ࠣ࠶ࡆޕ‬ขࠅߑߚߐࠇߡ޿ࠆᤓ੹‫ࠗࠨ࡯ࡃࠗࠨޔ‬ࠛࡦࠬ࠮ࡦ࠲࡯ߩ੹ᓟߩ߹ߔ߹ߔߩᵴべࠍᦼᓙߒߡ߅ࠅ߹ߔ‫ޕ‬  =߅⍮ࠄߖ?

ਗ೉ࠦࡦࡇࡘ࡯࠲ࠪࠬ࠹ࡓߩᦝᣂߦߟ޿ߡ㧔㧝㧕ਗ೉ࠦࡦࡇࡘ࡯࠲ࠪࠬ࠹ࡓࠍ  ᐕ  ᦬ߦᦝᣂߔࠆߎߣ߇᳿ቯߒ߹ߒߚ‫ޕ‬ᣂࠪࠬ࠹ࡓߪ‫ޔ‬㒐ἴ࡮
ᷫἴಽ㊁ࠍߪߓ߼ߣߔࠆࠪࡒࡘ࡟࡯࡚ࠪࡦ⎇ⓥ‫ࠅߊߠߩ߽ޔ‬ಽ㊁ߦ߅ߌࠆ⎇ⓥ‫↥ޔ‬ᬺ೑↪ߩଦㅴ߅ࠃ߮ *2%+ ࠪࠬ࠹ࡓߦឭଏߔࠆ⸘▚ᯏ⾗Ḯߩ᜛లࠍ⋡⊛ߦዉ౉ߒ‫⃻ޔ‬ਗ೉ࠦࡦࡇࡘ࡯࠲ࠪࠬ࠹ࡓ
ߩᓟ⛮ᯏߣߒߡឭଏߒ߹ߔ‫ޕ‬ឭଏࠪࠬ࠹ࡓߪ‫࡜ࠞࠬޔ‬ਗ೉Ṷ▚ࠨ࡯ࡃ߅ࠃ߮౒᦭ࠬ࠻࡟࡯ࠫ߆ࠄ
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A building-resolving simulation of sea breeze over Sendai downtown
with a parallelized CFD model
Guixing Chen, Weiming Sha, and Toshiki Iwasaki
Department of Geophysics, Graduate School of Science, Tohoku University, Sendai, Japan

Hiromu Seko and Kazuo Saito
Meteorological Research Institute, Tsukuba, Japan

In the study, we develop a parallelized CFD model to realize the building-resolving
simulation for one whole city. The test run on Sendai downtown at a high resolutionof 3 m is conducted by the NEC SX-9 supercomputer at the Cyberscience Center of
Tohoku University. The experiment is designed to simulate the winds and temperatureduring a typical sea breeze event. The general features of turbulent flows in the urban
canopy layer are well reproduced. The results suggest that this parallelized CFD
model is promising for the high-resolution urban weather forecast in the future.

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1. Introduction
In recent years, a research project of high performance numerical weather
prediction, as one part of the Strategic Programs for Innovative Research of Japan, is
initiated to achieve the high-precision mesoscale forecast [1]. As a part of this project,
the building-resolving CFD model is developed to realize the super high-resolution
mesoscale modeling of the urban weather [2]. The purpose is to simulate the winds
and temperature for big city with every buildings resolved.
One of the major difficulties we faced is the huge demand of calculation amount,
and another is the memory limit at a single node. To solve these problems, we convert
the source code of CFD model to support the high-performance calculation with the
Message Passing Interface (MPI). This parallelized CFD model has been recently
tested on the K computer at RIKEN Advanced Institute for Computational Science,
for a large domain of 25 km with a resolution of 10 m. In this study, we transfer this
CFD model to the NEC SX-9 supercomputer at the Cyberscience Center of Tohoku
University. The test run on SX-9 is implemented to understand the performance of the
CFD model at an even higher resolution of 3 m for the realistic complex building.

2. System configuration and experiment design
The CFD model used here is a local meteorological model based on large-eddy
simulation [3]. The model is based on the Cartesian coordinate, with the block-off
technique to treat the buildings and steep topography. The model equations are solved
by an algorithm of the semi-implicit method for pressure-linked equation, and a fulltime-implicit scheme is applied. This CFD model has been applied to simulate thelocal flows and temperature on the small-scale buildings and street blocks [4]. The
CFD code has been revised to support the MPI for parallel calculation. The parallel
calculation is made at both X and Y directions, while the auto parallel split is applied
at Z direction.
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The sea breeze is a typical weather phenomenon during the summer season that
greatly influences the local winds and temperature at the coastal areas [5]. At 13 JST
June 19, 2007, sea breeze blows over the Sendai City. In this study, the experiment isdesigned to study this sea breeze penetration over the Sendai downtown. The model
domain is centered at Sendai station with a scale of about 3 km (Figure 1). The spatial
resolution is 3 m for X, Y, and Z directions. The model top is 300 m, with 100 verticallevels. Therefore, the total grid points are one hundred millions. The forecast time isabout 120 seconds. The initial conditions of atmosphere and ground temperature areprovided the short-range forecast of non-hydrostatic model [6, 7] from the assimilated
data [8]. On SX-9 supercomputer, we use 16 nodes to perform the parallel calculation.
It takes about 14 minutes to complete the forecast.

(a) Full domain

3 km

3 km
(b) Sendai station

Sendai Station

Figure 1. The buildings of Sendai downtown for the CFD model. (a) Full domain; (b)Sendai station3 

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3. Results
Figure 2 shows the general pattern of zonal wind over the Sendai downtown atforecast time T=120 seconds. The tails of low wind speed are elongated at the lees ofthe buildings, with an horizontal extension of about 2-3 times of the buildings height,
which are often interrupted by the downstream buildings. As a whole, the buildings
drag is clearly shown to slow down the wind speed. In the vicinity of some tallbuildings, the local maximum of high wind speed can be easily identified. Broadly
speaking, in the urban canopy, the air flow exhibits strong turbulent characteristics
due to the complex buildings structures. Compared to the low wind speed within theurban canopy, the sea breeze exhibits a relatively fast penetration at the high layerfrom the southeastern regions.
Figure 3 shows the spatial distribution of temperature near Sendai station. It isclearly shown that the air mass trapped in the urban canopy exhibits a strong turbulent
feature near the major buildings. There are some warm bubbles that grow at the leesof the buildings, which are generally stretched downstream by sea breeze. Although
the wind speed is some low in the urban canopy, there is an active vertical mixing thatstrongly transports warm air upward and cool air downward. Considering a relatively
fast penetration of cool marine air above urban canopy, sea breeze helps to decrease
the temperature near surface from top in the presence of strong vertical mixing. Thissuggests that sea breeze can bring an effective cooling to the urban areas, despite of
the low wind speed by building drag. The cooling effect may be estimated by thewind speed of marine air above urban canopy and the vertical mixing within, which isusually related to the urban ventilation.



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Figure 2. Spatial pattern of the zonal wind speed over Sendai downtown.

Figure 3. Spatial distribution of the temperature near Sendai station.

4. Summary
In this study, we have conducted the building-resolving CFD simulation on thesea breeze over the Sendai downtown. The general features of turbulent flows in theurban canopy are well simulated by the CFD model. The results suggest that theparallelized CFD model has a good performance at the very high resolution of 3 m. It
should be emphasized that this is a realistic simulation of the weather conditions.
With high-precision mesoscale forecast available to drive the CFD model, it seems
reasonable to realize the high-resolution forecast of urban weathers for street corners
in the coming years [1, 2]. In the ongoing works, we continue to perform moreexperiments and verify the system performance with intense observation network.

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Acknowledgment
This study was partly supported by the Strategic Programs for Innovative Research
funded by the Ministry of Education, Culture, Sports, Science and Technology(MEXT) of Japan. Numerical calculations had been performed using the K computer
at RIKEN Advanced Institute for Computational Science (Proposal number hp120282)
and the supercomputing resource at the Cyberscience Center, Tohoku University.
Technical supports were given through the collaborative works with NEC company,
JAMSTEC Earth Simulator Center, and Tohoku University Cyberscience Center.

References[1] Saito, K., T. Tsuyuki, H. Seko, F. Kimura, T. Tokioka, T. Kuroda, L. Duc, K. Ito,
T. Oizumi, G. Chen, J. Ito, and the Spire Field 3 Mesoscale NWP group (2013),
Super high-resolution mesoscale weather prediction, J. Phys.: Conf. Ser., 454,
012073, doi:10.1088/1742-6596/454/1/012073.
[2] Chen, G., M. Sawada, W. Sha, T. Iwasaki, H. Iwai, H. Seko and K. Saito (2012),
A challenge to realize the ultra-high-resolution weather forecast for big city,
Proceeding of K-computer symposium 2012, 71–72.
[3] Sha, W. (2002), Design of the dynamics core for a new-generation numericalmodel of the local meteorology, Kaiyo Monthly (in Japanese), 2, 107–112.
[4] Sha, W. (2008), Local meteorological model based on LES over the Cartesian
coordinate and complex surface, in Meteorological Research Note (in Japanese),edited by Y. Fujiyoshi, 219, pp. 2126, Meteorological Society of Japan press,
Tokyo, Japan.
[5] Miller, S. T. K., B. D. Keim, R. W. Talbot, and H. Mao (2003), Sea breeze:
Structure,forecasting,andimpacts,
Rev.
Geophys.,41,
1011,
doi:10.1029/2003RG000124.
[6] Saito, K., J. Ishida, K. Aranami, T. Hara, T. Segawa, M. Narita, and Y. Honda(2007), Nonhydrostatic atmospheric models and operational development at JMA,
J. Meteorol. Soc. Jpn., 85B, 271–304.
[7] Saito, K. (2012), The Japan Meteorological Agency nonhydrostatic model and its
application to operation and research. InTech, Atmospheric Model Applications,
85–110. doi: 10.5772/35368.
[8] Seko, H., T. Tsuyuki, K. Saito, and T. Miyoshi (2013), Development of a two-way
nested LETKF system for cloud resolving model, in Data Assimilation for
Atmospheric, Oceanic and Hydrologic Applications II, Eds. S.K. Park and L. Xu,
Springer-Verlag Berlin Heidelberg, 197–218.



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ࠊߖߡᾲᵹേࠍᢙ୯⸃ᨆߒߥߌࠇ߫ߥࠄߥ޿‫ޔߜࠊߥߔޕ‬ᾲᵹേߩߺߥࠄߕઃട⊛ߥ‛ℂ߽หᤨߦ⸘
▚ߔࠆࡑ࡞࠴ࡈࠖࠫ࠶ࠢࠬ CFD ߇ⷐ᳞ߐࠇࠆ‫ᦨޔߦ․ޕ‬ᣂߩ⫳᳇࠲࡯ࡆࡦߢߪ㜞಴ജ‫ޔ‬㜞ല₸ߥࠄ߮ߦࠦࡦࡄࠢ࠻ൻࠍหᤨߦታ⃻ߔࠆߚ߼ᦨ⚳Ბߩ㐳⠢ൻ߇ㅴࠎߢ޿ࠆ‫⫳ޕ‬᳇࠲࡯ࡆࡦࠍㅢࠆ᳓⫳᳇ߪᦨ⚳Ბઃㄭߢᕆỗߥ࿶ജ㒠ਅߦ઻޿㕖ᐔⴧಝ❗ߒߡᶧṢߦ⋧ᄌൻߔࠆ‫ޕ‬ᶧṢߪਅᵹߦⴕߊߦߟࠇߡᚑ㐳ߒߡ☻ᄢᶧṢߦߥࠅᦨ⚳Ბ㐳⠢ߦⴣ⓭ߒߡ⠢ߩუ㘩ߦ߽ߟߥ߇ࠆ‫ߩࡦࡆ࡯࠲ߦ߁ࠃߩߎޕ‬ല₸ߩߺߥࠄߕ቟ోᕈߦ߽߆߆ࠊࠆⶄ㔀ᾲᵹേ⃻⽎ߪ‫ ࠬࠢ࠶ࠫࠖࡈ࠴࡞ࡑޔ‬CFD ߦࠃࠅ⸃᣿ߒߥߌࠇ߫ߥࠄߥ޿
ߩߣหᤨߦ‫ోࡦࡆ࡯࠲ޔ‬૕ࠍ߹ࠆߏߣ⸘▚ߒߥߌࠇ߫ᱜ⏕ߥ⃻⽎ࠍ⸃᣿ߔࠆߎߣ߇ߢ߈ߥ޿‫ޕ‬ᚒ‫⎇ߩޘ‬ⓥቶߢߪ‫ࡦࡆ࡯࠲ޔ‬ౝㇱߩ㕖ᐔⴧಝ❗ࠍ઻߁㕖ቯᏱḨࠅ⫳᳇ᵹࠇࠍ߹ࠆߏߣᄢⷙᮨᢙ୯⸘
▚ߔࠆߚ߼ߩࡑ࡞࠴ࡈࠖࠫ࠶ࠢࠬ CFD ࠰ࡈ࠻࠙ࠚࠕ‫ޟ‬ᢙ୯࠲࡯ࡆࡦࠪࠬ࠹ࡓ(Numerical Turbine
System‫ߡߒ⇛ޔ‬એਅ NTS)‫ࠍޠ‬㐿⊒ߒߡ޿ࠆ‫ޕ‬㧚ᢙ୯࠲࡯ࡆࡦࠪࠬ࠹ࡓ㧔065㧕

NTS ߩ᭴ᚑࠍ࿑  ߦ␜ߔ‫ޔߕ߹ޕ‬೨ಣℂ(Pre-process)ߣߒߡ‫ޔ‬Mesh Generator㧔એਅ‫ޔ‬MechG㧕ߣ Mesh
Transformer(MeshT)ࠍ⁛⥄ߦ㐿⊒ߒߚ‫ޕ‬MeshG ߪ GUI ⅣႺߢ⠢ᒻ⁁࠺࡯࠲ࠍ౉ജߔࠆߎߣߦࠃࠅ‫ޔ‬ਃᰴరᄙᲑ㕒േ⠢೉ߩ⸘▚ᩰሶࠍ↢ᚑߔࠆߎߣ߇ߢ߈ࠆᩰሶ↢ᚑ࠰ࡈ࠻ߢ޽ࠆ‫߫߃ߣߚޔࠅࠃߦࠇߎޕ‬࿑㧞(a)ߩࠃ߁ߥ⫳᳇࠲࡯ࡆࡦᦨ⚳ᄙᲑ㐳⠢೉ߦኻߒߡ࿑㧞(b)ߩࠃ߁ߥ⸘▚ᩰሶ߇↢ᚑߐࠇࠆ‫▚⸘ޕ‬ᩰሶߪ⠢೉ᵹ〝ࡉࡠ࠶ࠢߣ⠢೉㑆ࠍߟߥߋ✭ⴣᵹ〝ࡉࡠ࠶ࠢ߆ࠄ᭴ᚑߐࠇࠆ‫ޕ‬MeshT ߪ↢ᚑߐࠇߚ⸘▚ᩰሶࠍᄌᒻߔࠆߎߣߦࠃࠅ‫ޔ‬⠢ߦߨߓࠅ‫ࠍߤߥ࠻࠶࡟ࠖࡈޔࠣࡦࠠ࠶࠲ࠬޔ‬ઃടߔࠆߎߣ߇ߢ߈ࠆ⠢ᄌᒻ࠰ࡈ࠻ߢ޽ࠆ‫ޕ‬ᣂߚߦ⸘▚ᩰሶࠍ૞ᚑߒ⋥ߔߎߣߥߊ‫↢ߦߢߔޔ‬ᚑߐࠇߚ⸘▚ᩰሶߩᩰሶὐࠍ⒖േߐߖࠆߎߣߦࠃࠅ‫ޔ‬⠢ᄌᒻࠍᣉߒߚᄙᲑ⠢೉ߩ⸘▚ᩰሶࠍ૞ᚑߢ߈ࠆ‫ޔ߫߃ߣߚޕ‬࿑㧟(a)ߩࠃ߁ߥ
⠢ᒻ⁁ߦኻߒߡ‫ࠍ࠻࠶࡟ࠖࡈߣࠣࡦࠠ࠶࠲ࠬޔ‬ᣉߒߚ࿑㧠(b)ߩࠃ߁ߥ⠢೉ߥࠄ߮ߦߘߩ⸘▚ᩰሶࠍ↢ᚑߔࠆߎߣ߇ߢ߈ࠆ‫ޕ‬ᰴߦࡔࠗࡦಣℂ(Main Process)ߪ‫ޔ‬㕖ᐔⴧಝ❗ࠍ઻߁ᾲᵹേࠍ⸘▚ߔࠆߚ߼ߩࡊࡠࠣ࡜ࡓ߆ࠄߥࠆ‫ޕ‬
NTS ߢߪ‫ޔ‬㕖ᐔⴧಝ❗ࠍ઻߁࿶❗ᕈ☼ᕈᵹࠇߩᡰ㈩ᣇ⒟ᑼߣߒߡ‫⫳ޔ‬᳇ߩ⋧ᄌൻࠍ⠨ᘦߒߚ⫳᳇ߩ⾰㊂଻ሽᑼ‫ޔ‬ㆇേ㊂଻ሽᑼ‫଻࡯ࠡ࡞ࡀࠛޔ‬ሽᑼ‫ޔ‬ᶧṢߩ⾰㊂଻ሽᑼ‫ޔ‬ᶧṢߩᢙኒᐲ଻ሽᑼ‫ੂޔ‬ᵹㆇേࠛࡀ࡞ࠡ࡯߅ࠃ߮ߘߩᲧᢔㅺ₸ߩᑼࠍ⸃ߊ‫ޕ‬NTS ߢขࠅᛒ߁᳇ᶧੑ⋧ᵹߪᶧṢߩ⾰㊂ಽ₸߇චಽߦዊߐ
޿ဋ⾰ᵹࠍ઒ቯߔࠆ‫ޕ‬Ḩࠅ⫳᳇ߩ⁁ᘒᣇ⒟ᑼ߅ࠃ߮㖸ㅦߩᑼߪ⍹ဈࠄߦࠃࠅቯᑼൻߐࠇߚᑼࠃࠅ▚಴
ߔࠆ[1] ‫ޕ‬ಝ❗ߦࠃࠆᶧṢߩ⾰㊂↢ᚑ₸ߪฎౖಝ❗⺰ߦၮߠ߈‫ޔ‬ಝ❗ᩭ↢ᚑߣᶧṢߩᚑ㐳ߦࠃࠆ⾰㊂Ⴧടߩ๺ߢ⴫ߐࠇࠆ‫ߩߎޕ‬႐วߩಝ❗ᩭ↢ᚑ₸ߪ Frenkel[2]ߩᑼࠃࠅ‫ޔ‬ᶧṢߩᚑ㐳₸ߪ Gyarmathy[3]ߩࡕ࠺
࡞ࠃࠅ▚಴ߔࠆ‫ޕ‬ᢙ୯⸃ᴺߣߒߡ‫ޔ‬ⓨ㑆Ꮕಽߦߪ Roe ߩᵹ᧤Ꮕಽ㔌ᴺ [4]߅ࠃ߮㧠ᰴ♖ᐲࠦࡦࡄࠢ࠻
MUSCL TVD ࠬࠠ࡯ࡓ[5]ࠍ↪޿ࠆ‫☼ޕ‬ᕈ㗄ߦߪ㧞ᰴ♖ᐲਛᔃᏅಽࠍ↪޿‫ੂޔ‬ᵹࡕ࠺࡞ߦߪ SST ࡕ࠺࡞[6]ࠍ↪޿ࠆ‫ᤨޕ‬㑆Ⓧಽߦߪ LU-SGS ᴺ[7]ࠍ↪޿ࠆ‫৻ߪࡓ࡜ࠣࡠࡊ▚⸘ޕ‬ㇱࠍ㒰߈ MPI ߦࠃࠅਗ೉ൻ߇ᣉ
ߐࠇߚ‫ᧄޕ‬ႎ๔ߢߪએਅߦߘߩ⹦⚦ࠍ␜ߔ‫ޕ‬
ㅊടಣℂ(Additional Process)ߦߪ‫ޔ‬᳓⫳᳇ߩಝ❗ߦࠃࠅ↢ᚑߐࠇߚᶧṢߩㅊ〔ࠕ࡞ࠧ࡝࠭ࡓ߿⠢೉㓗㑆߆ࠄߩ⫳᳇ᵹ౉಴ࠍᮨᡆߔࠆᢙℂࡕ࠺࡞ߥߤ߇㓐ᤨㅊടߐࠇߡ޿ߊ੍ቯߢ޽ࠆ㧔⃻࿷㐿⊒ਛ㧕‫ޕ‬ᓟಣ
ℂߦߟ޿ߡߪ‫ࠈߎߣߩ߹޿ޔ‬ᣢሽߩᏒ⽼࠰ࡈ࠻ࠍ૶↪ߒߡ޿ࠆ‫ޕ‬ 

 ࿑㧝 ᢙ୯࠲࡯ࡆࡦࠪࠬ࠹ࡓ(NTS)ߩ᭴ᚑ

(a) ⫳᳇࠲࡯ࡆࡦᦨ⚳ᄙᲑ㐳⠢೉    (b) ↢ᚑߐࠇߚฦᵹ〝ߩ⸘▚ᩰሶ࿑㧞 MeshG ߦࠃࠅ↢ᚑߐࠇߚ⸘▚ᩰሶ    (a) ೋᦼ⠢೉ᒻ⁁             (b) ୃᱜ⠢೉ᒻ⁁࿑㧟 MeshT ߦࠃࠅᄌᒻߐࠇߚ⠢೉ᒻ⁁ 


 !"#$%&'






㧚065 ߩ /2+ ߦࠃࠆਗ೉ಣℂ ࿑㧞(a)ߦ␜ߒߚࠃ߁ߦ‫ࡦࡆ࡯࠲ޔ‬ౝㇱߦߪᄙߊߩ⠢߆ࠄߥࠆ⠢೉߇޽ࠅ‫ޔ‬㕒⠢೉ߣേ⠢೉߆ࠄ৻Ბ

߇᭴ᚑߐࠇࠆᄙᲑ㕒േ⠢೉ࠍᾲᵹേ߇ㅢㆊߒߡ߅੕޿ߦᐓᷤߔࠆ‫ޕ‬㕒⠢೉ߣേ⠢೉ߩᨎᢙߪၮᧄ⊛ߦ⇣ߥࠆߚ߼‫ޔ‬ታ㓙ߩᾲᵹേࠍᢙ୯⸘▚ߦࠃࠅ᝝₪ߔࠆߚ߼ߦߪ‫ߩߡߴߔޔ‬⠢೉ᵹ〝‫ࡆ࡯࠲ߜࠊߥߔޔ‬ࡦࠍ߹ࠆߏߣ⸘▚ߔࠆᔅⷐ߇޽ࠆ‫✚ޔࠄ߇ߥߒߥߒޕ‬⠢ᨎᢙߪජᨎࠍシߊ⿥߃ࠆߎߣ߆ࠄ‫ߴߔߩߎޔ‬ߡߩᵹ〝ࠍหᤨߦ⸘▚ߔࠆߎߣߪ‫⃻ޔ‬ሽߔࠆࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ߢ߽⸘▚ᤨ㑆ߩὐ߆ࠄ⃻ታ⊛ߢߪߥ޿‫ޔߪߢ⁁⃻ޕ‬ฦ⠢೉ߩ⠢ᨎᢙࠍㄭૃߒߡ࠲࡯ࡆࡦ๟ᣇะߩᾲᵹേߪ㘃ૃߢ޽ࠆߣ઒ቯߒߚ‫ࠊ޿ޔ‬ࠁࠆ๟ᦼႺ⇇᧦ઙࠍ⺖ߒߡ⸘▚ߒߡ޿ࠆ‫৻ޕ‬ᣇ‫ޔ‬㕒⠢ߪ࿕ቯߐࠇ‫ޔ‬േ⠢ߪ࿁ォߒߡ޿ࠆߎߣ߆ࠄ‫ޔ‬㕒⠢೉ߣേ⠢೉㑆ߩᾲᵹേ⸘▚ߦߪߘࠇߙࠇߩ⸘▚ᩰሶ߇ធߒߚ㕙ߩႺ⇇ߦ߅ߌࠆ‛ℂ㊂ߩ੤឵߇ᔅⷐ
ߦߥࠆ‫ޕ‬੤឵ߩᣇᴺߦߪ‫ޔ‬ቯᏱᵹࠇࠍ઒ቯߒߡႺ⇇ߦ߅ߌࠆ‛ℂ㊂ࠍⓨ㑆ᐔဋߒߡฃߌᷰߔᣇᴺ‫ߘޔ‬ߒߡ㕖ቯᏱᵹࠇࠍ઒ቯߒߡ࿁ォߔࠆേ⠢೉ߩ⸘▚ᩰሶߣ㕒⠢೉ߩ⸘▚ᩰሶߣߩ㑆ߢ‛ℂ㊂ࠍ੤឵ߔࠆ
ᣇᴺ߇޽ࠆ‫ߥ߁ࠃߩߎޕ‬Ⴚ⇇᧦ઙࠍ‫ޔ‬೨⠪ߪ Mixing Boundary㧔એਅ MB㧕‫ޔ‬ᓟ⠪ߪ Sliding Boundary(એਅ SB)ߣ๭߱‫ޕ‬೨⠪ߪ‛ℂ㊂ߩ੤឵⋧ᚻ߇Ᏹߦห৻ߢ޽ࠆߎߣ߆ࠄߎߩႺ⇇᧦ઙߪ৻⥸⊛ߥႺ⇇᧦ઙߣห᭽ߦಣℂߔࠆߎߣ߇ߢ߈ࠆߩߦኻߒߡ‫ޔ‬ᓟ⠪ߪ‛ℂ㊂ࠍ੤឵ߔࠆኻ⽎߇Ᏹߦᄌൻߔࠆߚ߼‫࠲࡯࠺ޔ‬ㅢାࠍਗ೉ಣℂߔࠆ㓙ߦᎿᄦ߇ᔅⷐߦߥࠆ‫ޕ‬NTS ߪ࠲࡯ࡆࡦ߹ࠆߏߣ⸘▚ࠍ⋡ᜰߒቢో㕖ቯᏱ⸘▚ࠍ೨ឭߦߒߡ޿ࠆߚ߼‫ޔ‬SB ࠍណ↪ߒߥߌࠇ߫ߥࠄߥ޿‫ޕ‬೨ႎ[8]ߦߪ‫ޔ‬SB ࠍ MPI ߦࠃࠅਗ೉ಣℂߔࠆߚ߼ߦ㐿⊒ߒߚ⸘▚ࠕ࡞ࠧ࡝࠭ࡓߦߟ޿ߡႎ๔ߒߡ޿ࠆ‫ߦࠄߐޕ‬⠢೉๟ᣇะߩ๟ᦼႺ⇇᧦ઙࠍ⺖ߒߚ࠲࡯ࡆࡦਃᲑ㕒േ⠢೉ࠍㅢࠆᾲᵹേߩ⸘▚ߦኻߒߡ‫᧲ޔ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯SX-9 ਄ߢታⴕߒߚ႐วߩਗ೉ൻಣℂല₸ࠍ▚಴ߒߚ‫ߪߡ޿ߟߦ⚦⹦ߩࠄࠇߎޕ‬೨ႎ[8]ߦ⸥タߐࠇߡ޿ࠆ‫ޕ‬๟ᣇะᵹ〝ᢙჇടߦ઻߁ਗ೉ಣℂല₸ᚒ‫ ߇ޘ‬NTS ߦᣉߒߚ MPI ߦࠃࠆਗ೉ൻᚻᴺߦߪ‫ޔ‬SB ߩಣℂᤨߦ MPI_Bcast ߅ࠃ߮ MPI_Allreduceߦࠃࠆ㓸࿅ㅢାࠍ↪޿ߚ‫ޔ߼ߚߩߘޕ‬ᵹ〝ᢙ߇Ⴧടߒߡ SB ߢធߔࠆᵹ〝ࡉࡠ࠶ࠢߩᢙ߇Ⴧ߃ߚ㓙ߦߪ‫ޔ‬⸘▚ᤨ㑆ߦኻߒߡㅢାᤨ㑆߇භ߼ࠆഀว߇Ⴧടߔࠆߎߣ߇ᗐቯߐࠇࠆ‫ߢߎߘޕ‬࿑㧠(a)-(d) ߦ␜ߔࠃ߁
ߥᵹ〝ᢙࠍᄌ߃ߚ⸘▚ᩰሶߦߟ޿ߡߘࠇߙࠇ⸘▚ࠍⴕ޿‫ޔ‬MPI ൻߐࠇߚ NTS ߩㅢାᤨ㑆ࠍ⹏ଔߔࠆ‫ޕ‬⸘▚ߩ෻ᓳ࿁ᢙߪ 10000 ࿁ߩߺߣߒ‫ޔ‬ᦨ⚳⊛ߥ㕖ቯᏱ⸃ࠍᓧࠆ߹ߢߪ⸘▚ߒߡ޿ߥ޿‫ᤨ▚⸘ޕ‬㑆ߪ ftraceߩ୯ࠍరߦ᷹ቯߒߚ‫ߩࠇߙࠇߘޕ‬ᩰሶߩࡉࡠ࠶ࠢᢙࠍ Table 1 ߦ␜ߔ‫ᤨ▚⸘ޔߒߛߚޕ‬㑆ߩㇺว਄‫ޔ‬⠢೉ᵹ〝ࡉࡠ࠶ࠢߪ 313131 ᩰሶὐ‫ⴣ✭ޔ‬ᵹ〝ࡉࡠ࠶ࠢߪ 163131 ᩰሶὐߣߒߚ‫ోޔߕ߹ޕ‬๟ߩ
1/100 ๟‫ޔ‬1/50 ๟‫ޔ‬1/30 ๟ߩ 3 ߟߩ⸘▚ᩰሶߦߟ޿ߡ⸘▚ߒߚ‫ోߪߡ޿߅ߦ▚⸘ߩࠄࠇߎޕ‬ᵹ〝ࡉࡠ࠶
ࠢᢙ߇ SX-9 ߩᦨᄢਗ೉ᢙߢ޽ࠆ 64 એਅߢ޽ࠆ߆ࠄ‫▚⸘ޔ‬ታⴕᤨߩਗ೉ᢙߪోᵹ〝ࡉࡠ࠶ࠢᢙߣห৻
ߣߔࠆ‫ޕ‬1 ࡊࡠ࠮ࠬ߇ 1 ᵹ〝ࡉࡠ࠶ࠢࠍ⸘▚ߔࠆߚ߼‫ޔ‬ᵹ〝ᢙ߿ਗ೉ᢙߩ㆑޿ߪ޽ߞߡ߽⸘▚ᤨ㑆ߪห⒟ᐲߩ߽ߩߦߥࠆߣ⠨߃ࠄࠇࠆ‫ߩ▚⸘ޔࠈߒ߻ޕ‬ೋᦼൻ߿Ⴚ⇇ಣℂߦ߅ߌࠆㅢାߥߤߦࠃࠆᓇ㗀߇ᄢ߈޿ߣ੍ᗐߐࠇࠆ‫ޕ‬
Table 2 ߦߪᵹ〝ᢙߩ⇣ߥࠆ⸘▚ߦ߅ߌࠆ⸘▚ో૕ߣਥⷐߥࠨࡉ࡞࡯࠴ࡦ (explicit‫ޔ‬implicit) ߩ⸘▚ᤨ 㑆 ߅ ࠃ ߮ ㅢ ା ࠨ ࡉ ࡞ ࡯ ࠴ ࡦ (mpisub_comm_bundslid ‫ ޔ‬mpisub_comm_bundslid_theta ‫ޔ‬
mpisub_comm_bundperi) ߩㅢା‫ޔ‬ᓙᯏᤨ㑆ࠍ␜ߔ‫ޕ‬એਅ‫ޔ‬mpisub_comm ࠍ MSC ߣ⇛ߔ‫ᤨ▚⸘ޕ‬㑆ߪේೣߣߒߡోߡߩࡊࡠ࠮ࠬߦ߅ߌࠆ୯ߩ߁ߜᦨ߽ᄢ߈ߥ୯ࠍઍ⴫ߣߒߡ↪޿ߡ޿ࠆ߇‫ޔ‬ㅢାࠨࡉ࡞࡯࠴
ࡦߩ୯ߦ㒢ࠅ‫ޔ‬ftrace ߆ࠄ⺒ߺขࠇࠆ MSC_bundslid_theta ߩ⸘▚ᤨ㑆ߩ߫ࠄߟ߈߇㕖Ᏹߦᄢ߈޿ߎߣ߆
ࠄ‫ޔ‬ਇㆡಾߛߣᕁࠊࠇࠆ୯ࠍ㒰ᄖߒߚ਄ߢᐔဋࠍߣߞߚᢙ୯ࠍ↪޿ߚ‫ߩࠇߕ޿ ޕ‬ᵹ〝ᢙߩ႐วߦ߅޿
ߡ߽ 1 ࡊࡠ࠮ࠬ߇ 1 ᵹ〝ࡉࡠ࠶ࠢࠍ⸘▚ߔࠆߚ߼‫ోޔ‬૕ߩᵹ〝ᢙ߇⚂ 2 ୚‫ޔ‬3 ୚ߣჇടߒߡ߽⸘▚ᤨ㑆ߪ 3%‫ޔ‬7%⒟ᐲߒ߆ᄌൻߒߥ޿‫ޔߪߡ޿߅ߦࠬ࡯ࠤߩࠄࠇߎޕ‬explicit ߿ implicit ߣ޿ߞߚ⸘▚ߩᄢㇱಽࠍභ߼ࠆⓨ㑆Ꮕಽ߅ࠃ߮ᤨ㑆Ⓧಽߩ⸘▚ᤨ㑆ߪ‫ޔ‬ᵹ〝ᢙࠍ໧ࠊߕ߶߷╬ߒ޿‫৻ޕ‬ᣇ‫ޔ‬SB ߦ߅ߌࠆㅢାᤨ 㑆 ߦ ߟ޿ ߡ ߪ ‫ ޔ‬MPI_Allreduce ࠍ ↪ ޿ ߡ SB ࠍ᜽ ࠎ ߛ ᩰሶ 㑆 ߩ ࿁ォ ᣇ ะߕ ࠇ ⷺ ᐲࠍ ⸘ ▚ ߔࠆ
MSC_bundslid_theta ߣ‫ޔ‬MPI_Bcast ࠍ↪޿ߡ SB 㕙ߦ߅ߌࠆ㈩೉࠺࡯࠲ࠍㅍฃାߔࠆ MSC_bundslid ߩ㑆ߢㅢାᤨ㑆ߦᄢ߈ߥ㆑޿߇⷗ࠄࠇߚ‫ޕ‬MSC_bundslid ߪ੍ᗐㅢࠅ‫ޔ‬ᵹ〝ᢙߩჇടߦ઻޿⸘▚ᤨ㑆߽ᕆㅦߦჇടߒߚ‫ߩߘޔߒߛߚޕ‬୯ߪ⸘▚ో૕ߦኻߒߡ⋧ኻ⊛ߦዊߐ޿‫ߦࠇߎޕ‬ኻߒߡ‫ޔ‬MPI_Allreduce ࠍ↪
޿ࠆ MSC_bundslid_theta ߪㅢାᤨ㑆߇ MSC_bundslid ߩ 10 ୚ㄭߊ㐳޿‫ޕ‬MSC_bundslid_theta ߩᓙᯏᤨ㑆߇ᄢ߈޿ℂ↱ߣߒߡߪ‫ޔ‬MSC_bundslid_theta ߇ MSC_bundslid ߩ⋥೨ߦ CALL ߐࠇࠆߎߣ߆ࠄ‫ޔ‬ⓨ㑆Ꮕಽ߿ᤨ㑆ⓍಽߥߤߩṶ▚ߦ߆߆ࠆᤨ㑆ߩᏅߦኻᔕߔࠆᓙߜวߖᤨ㑆߇ MSC_bundslid_theta ߦ߅޿ߡ↢ߓࠆߚ߼ߢ޽ࠆ‫ޕ‬๟ᦼႺ⇇ಣℂߩߚ߼ߦ MPI_Sendrecv ࠍⴕ߁ MSC_bundperi ߦߟ޿ߡߪ‫ޔ‬ᵹ〝ᢙߩჇടߦኻᔕߒߡㅢା‫ޔ‬ᓙᯏᤨ㑆߇౒ߦჇടߔࠆ⚿ᨐ߇ᓧࠄࠇߚ‫ޕ‬1/100 ๟ߩ⸘▚ߦ߅޿ߡߪ⸘▚ኻ⽎߇නᵹ〝ߩᩰሶߢ޽ࠅ‫ޔ‬๟ᦼႺ⇇ࠍㆡ↪ߔࠆ㓙ߩᖱႎߪห৻ᵹ〝ࡉࡠ࠶ࠢౝ߆ࠄᓧࠄࠇࠆߎߣ߆ࠄ‫ޔ‬ㅢା 

 
ߪ⊒↢ߒߥ޿‫ޕ‬1/50 ๟ߩᩰሶߪ⠢೉ㇱಽߩ᜛ᒛ H ဳᩰሶߪ๟ᣇะߦⶄᢙᵹ〝޽ࠆ߇‫ⴣ✭ޔ‬඙㑆ߩ H ဳᩰሶߪ๟ᣇะߦ 1 ߟߢ޽ࠆ‫ߦࠇߎޕ‬ኻߒߡ‫ޔ‬1/30 ๟ߩᩰሶߪోߡߩᵹ〝ࡉࡠ࠶ࠢ߇๟ᣇะߦ೎ߩᵹ〝ࡉࡠ࠶ࠢߣធߒߡ߅ࠅᔅⷐߥㅢାߩ㊂ߪᄙߊ‫ߥ߁ࠃߩߎޔ‬⢛᥊߆ࠄㅢାᤨ㑆߇Ⴧടߒߚߣ੍ᗐߐࠇࠆ‫ޕ‬એ਄‫ޔ‬ᵹ〝ࡉࡠ࠶ࠢ㑆ߦ⸘▚㊂ߩࠗࡦࡃ࡜ࡦࠬ߇↢ߓߥ޿⸘▚ߦߟ޿ߡߪ‫ޔ‬ㅢା߅ࠃ߮ᓙᯏᤨ㑆ߩว⸘߇⸘▚ో૕ߦභ߼ࠆഀวߪ‫߽ᦨޔ‬ᵹ〝ᢙߩᄙ޿ 1/30 ๟ߩࠤ࡯ࠬߦ߅޿ߡ 3%⒟ᐲߢ޽ߞߚ‫ޕ‬ᰴߦ‫ ߚߒ↢⊒߇ࠬࡦ࡜ࡃࡦࠗޔ‬1/10 ๟ߩ⸘▚ߦߟ޿ߡ⺑᣿ߔࠆ‫ޕ‬1/10 ๟ߩ⸘▚ߦ߅޿ߡߪ 111 ᵹ〝ࡉࡠ࠶ࠢߩ⸘▚㗔ၞߦኻߒߡ 64 ࡊࡠ࠮ࠬߢ⸘▚ࠍⴕ߁ߎߣ߆ࠄ‫ޔ‬2 ᵹ〝ࡉࡠ࠶ࠢߩṶ▚ࠍⴕ߁ 47 ߩࡊࡠ࠮ࠬߣ 1 ᵹ〝ࡉࡠ࠶ࠢߩṶ▚ࠍⴕ߁ 17 ߩࡊࡠ࠮ࠬ߇ᷙ࿷ߔࠆ‫ޕ‬Table 2 ߦ␜ߒߚ 1 ᵹ〝ࡉࡠ࠶ࠢߩ⸘
▚ࠍⴕ߁႐วߩ⸘▚‫ޔ‬ㅢା‫ޔ‬ᓙᯏᤨ㑆߆ࠄ‫ޔ‬1 ࡉࡠ࠶ࠢߩ⸘▚ߩߺࠍⴕ߁ࡊࡠ࠮ࠬߦ߅޿ߡߪ‫ޔ‬1/100๟‫ޔ‬1/50 ๟‫ޔ‬1/30 ๟ߣห᭽ߩⓨ㑆Ꮕಽ߅ࠃ߮ᤨ㑆Ⓧಽߩ⸘▚ᤨ㑆߇߆߆ࠆ‫ޔߒ߆ߒޕ‬ᱷࠅߩࡊࡠ࠮ࠬ
ߦ߅޿ߡߪ 2 ᵹ〝ࡉࡠ࠶ࠢߩ⸘▚ࠍⴕߥߞߡ޿ࠆߎߣ߆ࠄ‫ ߦ▚⸘ޔ‬2 ୚⒟ᐲߩᤨ㑆߇߆߆ࠆ‫⚿ߩߘޕ‬ᨐ‫ ޔ‬MSC_bundperi ߦ⷗ࠄࠇࠆࠃ߁ߦ‫ࠍ▚⸘ߩࠄࠇߘޔ‬ᓙߜวߖࠆߚ߼ߩ㐳޿ᓙᯏᤨ㑆߇↢ߓߚ‫ޕ‬
Table 1ฦ⸘▚ᩰሶߦ߅޿ߡ઒ቯߒߚฦ⠢೉ߦ߅ߌࠆ⠢ᨎᢙᵹ〝ࡉࡠ࠶ࠢᢙ

1S

1R

2S

2R

3S

3R

ታᯏ

160

116

112

98

106

90

-

1/100 ๟

100

100

100

100

100

100

13

1/50 ๟

150

100

100

100

100

100

20

1/30 ๟

150

120

120

90

120

90

37

1/10 ๟

160

120

110

100

110

90

111

1/2 ๟

160

116

112

98

106

90

551

Table 2ᵹ〝ᢙߩ⇣ߥࠆ⸘▚ߦ߅ߌࠆ⸘▚‫ޔ‬ㅢା‫ޔ‬ᓙᯏᤨ㑆
1/100 ๟1/50 ๟

1/30 ๟

1/10 ๟

13 ࡊࡠ࠮ࠬ

20 ࡊࡠ࠮ࠬ

37 ࡊࡠ࠮ࠬ

64 ࡊࡠ࠮ࠬ

⸘▚ో૕

1065

1092

1134

2118

explicit

656

654

652

671

implicit

198

202

202

199

ㅢା

0.7

1.1

2.5

3.6

ᓙᯏ

0.1

0.3

0.7

0.8

ㅢା

24.2

17.1

18.7

66.3

ᓙᯏ

7.2

8.6

10.0

20.6

ㅢା



0.3

0.5

0.5

ᓙᯏ



1.7

3.1

728.6

MSC_bundslid

MSC_bundslid_theta

MSC_bundperi 

!"#$%&'((a) 1/10 ๟ 13 ᵹ〝ࡉࡠ࠶ࠢ(b) 1/50 ๟ 20 ᵹ〝ࡉࡠ࠶ࠢ(c) 1/30 ๟ 37 ᵹ〝ࡉࡠ࠶ࠢ



  
(d) 1/10 ๟ 111 ᵹ〝ࡉࡠ࠶ࠢ        (e) 1/2 ๟ 551 ᵹ〝ࡉࡠ࠶ࠢ࿑㧠 ᵹ〝ᢙࠍᄌᦝߒߚ⸘▚ᩰሶ ๟⸘▚ᩰሶߦࠃࠆ⸘▚ߩਗ೉ಣℂല₸ታᯏߩ⠢ᨎᢙࠍቢోߦ෻ᤋߒߚ࿑㧠(e)ߦ␜ߒߚ 1/2 ๟⸘▚ᩰሶࠍ↪޿ߡਗ೉ല₸ࠍ▚಴ߒߚ‫ߛߚޕ‬ߒ‫ߩ▚⸘ޔ‬෻ᓳ࿁ᢙߪ 10000 ࿁ߩߺߣߒ‫ߥ⊛⚳ᦨޔ‬㕖ቯᏱ⸃ࠍᓧࠆ߹ߢߪ⸘▚ߒߡ޿ߥ޿‫ޔߚ߹ޕ‬⠢೉ᵹ〝ࡊࡠ࠶ࠢߪ 313131 ᩰሶὐ‫ⴣ✭ޔ‬ᵹ〝ࡉࡠ࠶ࠢߪ 163131 ᩰሶὐߣߒߚ‫ᤨ▚⸘ޕ‬㑆ߪ ftraceߩ୯ࠍరߦ᷹ቯߒߚ‫ޕ‬Table 3 ߦ⇣ߥࠆਗ೉ࡊࡠ࠮ࠬᢙߦ߅ߌࠆ⸘▚ᤨ㑆ࠍ␜ߔ‫ߩࠇߕ޿ޕ‬ਗ೉ࡊࡠ࠮
ࠬᢙߦ߅޿ߡ߽ࠗࡦࡃ࡜ࡦࠬ߇↢ߓࠆߎߣ߇ᗐቯߐࠇࠆ‫ޔ߫߃଀ޕ‬64 ਗ೉ߢߩ⸘▚ࠍⴕ߁႐วߦߪ‫ޔ‬8ᵹ〝ࡉࡠ࠶ࠢߕߟ⸘▚ࠍⴕ߁ 25 ߩࡊࡠ࠮ࠬߣ‫ޔ‬9 ᵹ〝ࡉࡠ࠶ࠢߕߟ⸘▚ࠍⴕ߁ 39 ߩࡊࡠ࠮ࠬ߇⠨߃ࠄࠇࠆ‫ޕ‬࿑㧡ߦ Table 3 ߆ࠄ▚಴ߒߚ⸘▚ో૕ߩടㅦ₸ࠍ␜ߔ‫ޕ‬ਗ೉ࡊࡠ࠮ࠬᢙ߇Ⴧടߒߡ߽ਗ೉ಣℂല 
₸߇㗼⪺ߦૐਅߔࠆߎߣߪߥߊ‫ޔ‬ടㅦ₸ߪ਄᣹ߒߡ޿ࠆ‫ޔࠄ߇ߥߒ߆ߒޕ‬ℂ⺰୯ 64 ୚ߦኻߒߡ‫ޔ‬ਗ೉ࡊࡠ࠮ࠬᢙ߇ 64 ߩ႐วߦᓧࠄࠇߚടㅦ₸ߪ‫ޔ‬44.8 ୚ߣߥߞߚ‫ޕ‬࿑㧢ߦ⇣ߥࠆਗ೉ࡊࡠ࠮ࠬᢙߦ߅ߌࠆ
ㅢାߥࠄ߮ߦᓙᯏᤨ㑆ߩ⸘▚ᤨ㑆ߦභ߼ࠆഀวࠍ␜ߔ‫ޕ‬1/2 ๟ߩ⸘▚ߦ߅޿ߡߪ⸘▚㗔ၞ߇ 551 ᵹ〝ࡉࡠ࠶ࠢ޽ࠆߚ߼‫ޔ‬64 ਗ೉ࡊࡠ࠮ࠬᢙߢ߽‫ࠬ࠮ࡠࡊޔ‬㑆ߦ߅ߌࠆ⸘▚㊂ߩࠗࡦࡃ࡜ࡦࠬߦ⿠࿃ߔࠆㅢା
߅ࠃ߮ᓙᯏᤨ㑆߇⿠ߎࠅᓧࠆ‫৻ޕ‬ᣇߢ‫ޔ‬1 ࡊࡠ࠮ࠬᒰߚࠅ߇⸘▚ߔࠆᵹ〝ࡉࡠ࠶ࠢᢙ߇ᄙ޿ߎߣ߆ࠄࠗ
ࡦࡃ࡜ࡦࠬߦࠃࠆ⸘▚ో૕߳ߩᓇ㗀ߪ⚿ᨐߣߒߡዊߐߊߥࠅ‫ޔ‬ㅢା߅ࠃ߮ᓙᯏᤨ㑆ߪᦨᄢߢ߽⸘▚ో
૕ߩ 15%એਅߦ෼߹ߞߡ޿ࠆ‫ޕ‬1/2 ๟ߩ⸘▚ᤨߦടㅦ₸߇ࠬࠤ࡯࡞ߒߥ޿ේ࿃ߩ 1 ߟߣߒߡ‫ޔ‬ㅢା࿁ᢙߩჇടߦട߃ߡ‫ޔ‬ࡔࠗࡦࡊࡠࠣ࡜ࡓ main ౝߦ߅ߌࠆṶ▚ㇱಽ߇ਗ೉ൻߐࠇߡ޿ߥ޿ߎߣ߇᜼ߍࠄࠇࠆ‫ޕ‬
main ౝߦߪ⸘▚㗔ၞో૕ࠍㅢߒߚ⸘▚߇฽߹ࠇߡ߅ࠅ‫⃻߇ࠇߘޔ‬࿷ਗ೉ൻߐࠇߡ߅ࠄߕㅙᰴಣℂߐࠇߡ޿ࠆ‫ޕ‬main ߪ 64 ਗ೉ࡊࡠ࠮ࠬᤨߦ߅޿ߡ⸘▚ᤨ㑆ో૕ߩ 12%ࠍභ߼ߡ߅ࠅ‫ޔ‬ㅢା߅ࠃ߮ᓙᯏᤨ㑆ߩ
15%ߣห⒟ᐲߩ⸘▚⽶⩄ߣߥߞߡ޿ࠆ‫੹ޕ‬ᓟ‫ޔ‬ㅢାߩല₸ൻߦ૬ߖߡ main ߩਗ೉ൻࠍㅴ߼ࠆߎߣߦࠃ
ࠅ‫ోޔ‬๟⸃ᨆߥߤߩᄢⷙᮨਗ೉⸘▚ߦ߅޿ߡ߽ᦝߦ㜞޿ਗ೉ಣℂല₸߇ᦼᓙߐࠇࠆ‫ޕ‬
Table 3 ⇣ߥࠆਗ೉ᢙߦ߅ߌࠆ⫳᳇࠲࡯ࡆࡦᄙᲑ㕒േ⠢೉ඨ๟⸘▚ߦⷐߒߚ⸘▚ᤨ㑆ਗ೉ࡊࡠ࠮ࠬᢙ

1

4

8

16

32

64

⸘▚ᤨ㑆(sec)

386429104127

52947

28493

15202

8627

࿑㧡 1/2 ๟⸘▚ᤨߦ߅ߌࠆਗ೉ࡊࡠ࠮ࠬᢙߩჇടߦኻߔࠆ⸘▚ో૕ߩടㅦ₸ 

!"#$%&'(࿑㧢 ⇣ߥࠆਗ೉ࡊࡠ࠮ࠬᢙߦ߅ߌࠆㅢାߥࠄ߮ߦᓙᯏᤨ㑆ߩ⸘▚ᤨ㑆ߦභ߼ࠆഀว

㧚065
㧚065 ߦࠃࠆ⸘▚଀ߦࠃࠆ⸘▚଀
2013 ᐕ 6 ᦬ߦ San Antonio ߢ㐿௅ߐࠇߚ ASME Turbo Expo ߢ⊒⴫ߒߚᦨᣂߩ⎇ⓥᚑᨐ[9]߆ࠄౖဳ⊛ߥ⸘▚⚿ᨐࠍ⚫੺ߔࠆ‫ޕ‬ਃ⪉㊀Ꮏ߇⸳⸘ߒߚ⫳᳇࠲࡯ࡆࡦૐ࿶ਃᲑߩ㕒േ⠢೉ࠍㅢࠆ㕖ቯᏱਃᰴరḨࠅ⫳᳇ᵹࠇࠍ NTS ߦࠃࠅᢙ୯⸃ᨆߒߚ‫౉ޕ‬ญႺ⇇᧦ઙߣߒߡ‫౉ޔ‬ญో࿶ 0.3296MPa‫౉ޔ‬ญో᷷ 384.3K ࠍਈ߃ߚ‫ ߪࠇߎޕ‬25K
ߩㆊ಄ළ⁁ᘒߦᒰߚࠆ᧦ઙߢ޽ࠆ‫౉ޕ‬ญߢߪੇ῎ߒߚ⫳᳇߇ᵹ౉ߒߡ޿ࠆߚ߼‫ࡦࡆ࡯࠲ޔ‬ਃᲑᵹ〝ߩㆡᒰߥ૏⟎ߢ㕖ᐔⴧಝ❗߇⿠ߎࠆ‫ޕ‬࿑㧠(a)ߦ⋧ᒰߔࠆ 13 ᵹ〝ࡉࡠ࠶ࠢ߆ࠄߥࠆ⸘▚ᩰሶࠍ↪޿ߚ‫ߚޕ‬ߛߒ‫▚⸘ޔ‬ᩰሶߪࠃࠅ⚦߆ߊ‫ޔ‬⠢೉ᵹ〝ࡉࡠ࠶ࠢࠍ 919191 ᩰሶὐ‫ⴣ✭ޔ‬ᵹ〝ࡉࡠ࠶ࠢࠍ 4691
91 ᩰሶὐߣߒߚ‫ޕ‬࿑㧣(a)‫ޔ‬㧣(b)ߦߘࠇߙࠇ‫ࠅࠃߦ▚⸘ޔ‬ᓧࠄࠇߚోᵹ〝ࡒ࠶࠼ࠬࡄࡦߥࠄ߮ߦਃᲑേ⠢೉ᵹ〝ᢿ㕙ߦ߅ߌࠆ⍍㑆ḨࠅᐲಽᏓࠍ␜ߔ‫ߕ߹ޕ‬࿑㧣(a)ࠃࠅ‫৻ޔ‬Ბ⋡㕒⠢೉ਅᵹၞߢಝ❗߇㐿ᆎߒߡ޿ࠆߎߣ߇ࠊ
߆ࠆ‫ޕ‬ಝ❗ߦࠃࠅ↢ᚑߐࠇߚᶧṢߪਅᵹߦⴕߊߦᓥߞߡᚑ㐳ߒ‫ޔ‬ਃᲑ⋡േ⠢ਅᵹၞߢߪᦨᄢ 4.8㧑ߩḨࠅᐲ߇ᓧࠄࠇߚ‫ޔߚ߹ޕ‬Ḩࠅᐲߪฦ⠢೉ߩᓟᵹߩᓇ㗀ࠍฃߌߥ߇ࠄჇടߒߡ޿ࠆߎߣ߽␜ߐࠇߡ޿ࠆ‫ޕ‬࿑㧣(b)ߦߪ‫ޔ‬ਃᲑ⋡േ⠢ᢿ㕙ߦ߅޿ߡߪḨࠅᐲ߇ᭂ┵ߦ஍࿷ൻߒߡ޿ࠆ᭽ሶ߇␜ߐࠇߡ޿ࠆ‫ޕ‬Ḩࠅᐲߪᢿ㕙ਛᄩၞ߇ో૕⊛ߦ㜞ߊ‫ߡߞ߇ߚߒߦߊⴕߦ࡞࡯ࠜ࠙࠼ࡦࠛޔ‬ᷫዋߒߡ޿ࠆ߇‫࡞࡯ࠝ࠙࠼ࡦࠛޔ‬ઃㄭߢߪ߆ߥࠅ㕖ቯᏱᕈ߇ᒝ޿ಽᏓߦߥߞߡ޿ࠆ‫ޔߪࠇߎޕ‬೨Ბߦ૏⟎ߔࠆ‫৻ޔ‬Ბ⋡㕒⠢೉‫৻ޔ‬Ბ⋡േ⠢೉‫ޔ‬ੑᲑ⋡㕒⠢೉‫ޔ‬ੑᲑ⋡േ⠢೉‫ߡߒߘޔ‬ਃᲑ⋡㕒⠢೉߆ࠄ⊒↢ߒߚࠦ࡯࠽࡯᷵߿⠢ᓟᵹߩߔߴ
ߡ߇ᐓᷤߒߥ߇ࠄਃᲑ⋡േ⠢೉߹ߢᵹࠇㄟࠎߢߊࠆߚ߼‫߇ࠄࠇߎޔ‬ḨࠅᐲߩಽᏓߦᓇ㗀ߒߚ⚿ᨐߢ޽ࠆߣ⠨߃ࠄࠇࠆ‫ޕ‬ታߪ‫ޔ‬Ḩࠅᐲ 4.8㧑ߪ⠢┵ㄭறߢᓧࠄࠇߡ߅ࠅ‫ޔ‬Ḩࠅᐲ߇ࠦ࡯࠽࡯᷵߿ᓟᵹߦࠃࠅ߆
ߥࠅ஍࿷ൻߒߡ޿ࠆߎߣࠍ␜ໂߒߡ޿ࠆ⚿ᨐߢ޽ࠆ‫ߪߡ޿ߟߦ⚦⹦ޕ‬ᢥ₂[9]ࠍߏⷩ޿ߚߛ߈ߚ޿‫ޕ‬ 

 (a) ࡒ࠶࠼ࠬࡄࡦ(b) ਃᲑ⋡േ⠢ᵹ〝ᢿ㕙࿑㧣 ⍍㑆ḨࠅᐲಽᏓ㧚⚿⸒ᚒ‫߇ޘ‬㐿⊒ߒߡ޿ࠆᢙ୯࠲࡯ࡆࡦࠪࠬ࠹ࡓ(NTS)ߦߟ޿ߡߘߩ᭎⇛ࠍ⚫੺ߒ‫ߣߏࠆ߹ࡦࡆ࡯࠲ߦ․ޔ‬⸘▚ࠍᗧ⼂ߒߡ MPI ࠍ↪޿ߚਗ೉ಣℂല₸ࠍ⹏ଔߒߚ‫⚿ߩߘޕ‬ᨐ‫᧲ޔ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯SX-9 ߦࠃࠆో๟⸘▚ࠍ઒ቯߒߚࠤ࡯ࠬߢߪ‫ޔ‬64 ࡊࡠ࠮ࠬߦࠃࠆ⸘▚ߢ㧝ࡊࡠ࠮ࠬߣᲧセߒߡ⚂
45 ಽߩ 1 ߦ⸘▚ᤨ㑆ࠍ⍴❗ߔࠆߎߣ߇ߢ߈ߚ‫▚⸘ߚ޿↪ޔߒߛߚޕ‬ᩰሶߪ☻޿߽ߩߢ޽ࠅ‫ߟ߆ޔ‬ਗ೉ൻ߇߹ߛቢోߦᣉߐࠇߡ޿ߥ޿⸘▚࡞࡯࠴ࡦߥߤ߽޽ࠆ‫ోࠆߥߦ࠲࡯࠺ࠢ࠶ࡆߪߢ⁁⃻ޕ‬๟⸘▚⚿ᨐࠍ޿߆ߦนⷞൻߔࠆ߆ߣ޿߁ო߽޽ࠅ‫ޔ‬SX-9 ߦࠃࠆో๟⸘▚ߪᔅߕߒ߽⃻ታ⊛ߢߪߥ޿߇‫ࠅࠃޔ‬㜞ㅦߥࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ࠍ↪޿ߡ‫ޔ‬นⷞൻᚻᴺߥߤ߽Ꮏᄦߔࠆߎߣ߇ߢ߈ࠇ߫‫ޔ‬2, 3 ᐕᓟߦߪ࠲࡯ࡆࡦ
߹ࠆߏߣ⸘▚߽ታ↪ൻߢ߈ࠆߣᦼᓙߒߡ޿ࠆ‫ޕ‬ 
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⻢ㄉ

ᧄ⎇ⓥߪ‫᧲ޔ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯߅ࠃ߮ NEC ߩో㕙⊛ߥᛛⴚදജ‫ߦ߮ࠄߥޔ‬ਃ⪉㊀Ꮏߣߩ౒ห⎇ⓥߦၮߠߊᡰេߩ߽ߣߢታᣉߐࠇ߹ߒߚ‫ߏޕ‬දജ㗂߈߹ߒߚ⊝᭽ߦኻߒෘߊᓮ␞↳ߒ਄ߍ߹ߔ‫ޕ‬

ෳ⠨ᢥ₂
[1] Ishizaka, K., Ikohagi, T. and Daiguji, H., A High-Resolution Numerical Method for Transonic
Non-Equilibrium Condensation Flow through a Steam Turbine Cascade, Proc. of the 6th ISCFD, 1,
479-484, 1995.
[2] Frenkel, J., Kinetic Theory of Liquids, Dover, 1955.
[3] Gyarmathy, G., Zur Wachstumsgeschwindigkeit Kleiner Flussigkeitstropfen in Einer Ubersattigten
Atmosphare, Zeitschrift fur Angewandte Mathematik und Physik, 14-3, 280-293, 1963.
[4] Roe, P.L., Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes, Journal ofComputational Physics, 43, 357-372, 1981.
[5] Yamamoto, S. and Daiguji, H., Higher-Order-Accurate Upwind Schemes for Solving the Compressible
Euler and Navier-Stokes Equations, Computers and Fluids, 22-2/3, 259-270, 1993.
[6] Menter, F.R., Two-equation Eddy-viscosity Turbulence Models for Engineering Applications, AIAA
Journal, 32-8, 1598-1605, 1994.
[7] Yoon, S. and Jameson, A. Lower-upper Symmetric-Gauss-Seidel Method for the Euler andNavier-Stokes Equations, AIAA Journal, 26, 1025-1026, 1988.
[8] ╣የᵏᵗ㧘ጊᧄᖗ㧘ਃቛື㧘ጟፒஜᔒ㧘MPI ߦࠃࠆᢙ୯࠲࡯ࡆࡦߩᄢⷙᮨਗ೉⸘▚ᚻᴺߩ㐿⊒㧘
SENAC㧘45, 19-25, 2012.

[9] Miyake, S., Yamamoto, S., Sasao, Y., Momma, K., Miyawaki, T. and Ooyama, H., Unsteady Flow Effect on
Nonequilibrium Condensation in 3-D Low Pressure Steam Turbine Stages, Proc. ASME Turbo Expo 2013, San
Antonio, GT2013-94832, 2013, CD-ROM.

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1

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⿥ૐ๟ᵄ࿾㔡ߩᵴേߦၮߠߊࡊ࡟࡯࠻㑆࿕⌕ߩផቯ⿥ૐ๟ᵄ࿾㔡ߩᵴേߦၮߠߊࡊ࡟࡯࠻㑆࿕⌕ߩផቯ- Characteristics of shallower slow earthquakes occurring near the trench ᦭ศ ᘮ੺*1࡮᧻Ỉ ᥰ*2࡮ᣣ㊁ ੫ᄥ*2࡮㐳⼱Ꮉ ᤘ*2
ၳ 㜞ፄ*1࡮ਛ↰ ઎ሶ*1࡮㊄↰ ⟵ⴕ*1
*1⁛┙ⴕ᡽ᴺੱ ᶏᵗ⎇ⓥ㐿⊒ᯏ᭴ ࿾㔡ᵤᵄ࡮㒐ἴ⎇ⓥࡊࡠࠫࠚࠢ࠻

*2᧲ർᄢቇᄢቇ㒮ℂቇ⎇ⓥ⑼㒝ዻ ࿾㔡࡮ྃἫ੍⍮⎇ⓥ᷹ⷰ࠮ࡦ࠲࡯ ᵻㇱ⿥ૐ๟ᵄ࿾㔡ߪ㧘ߎࠇ߹ߢ⷏ධᣣᧄ߿චൎᴒߢߒ߆ᝒ߃ࠄࠇߡߎߥ߆ߞߚ߇㧘᧲ർ࿾ᣇᄥᐔᵗᴒ࿾㔡ᓟߩ⹦⚦ߥ⸃ᨆߦࠃࠅ㧘᧲ർᴒߢ߽⊒↢ߒߡ޿ࠆߎߣ߇⏕߆߼ࠄࠇߚ㧚ߘߎߢᧄ⎇ⓥߢߪ㧘ᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦߦၮߠ޿ߡ㧘ᵻㇱ⿥ૐ๟ᵄ࿾㔡ߩᵴേߣࡊ࡟࡯
࠻㑆࿕⌕ߣߩ㑐ଥࠍ⺞ߴ㧘ߘߩ⚿ᨐࠍ᧲ർ࿾ᣇᄥᐔᵗᴒ࿾㔡߳ㆡ↪ߔࠆߎߣࠍ⹜ߺߚ㧚㧝㧚ߪߓ߼ߦ
㧝㧚ߪߓ߼ߦ
ධᶏ࠻࡜ࡈᴪ޿ߢ⊒↢ߔࠆ ”ࠁߞߊࠅ࿾㔡” ߩ৻⒳ߢ޽ࠆ⿥ૐ๟ᵄ࿾
㔡 [1] ߪ㧘30km ߩ╬ᷓ✢਄ߦ߶߷ಽᏓߒߡ޿ࠆߛߌߢߥߊ㧘ᶏḴઃㄭߢ߽⊒↢ߒߡ޿ࠆߎߣ߇㧘ᦨㄭߩᶏᐩ᷹ⷰ߆ࠄ᣿ࠄ߆ߣߥߞߚ [2]㧚ߘߎߢ㧘᦭ศ࡮ઁ [3] ߢߪ㧘ㄭ޿዁᧪⿠߈ࠆߣߐࠇࠆ᧲ධᶏ࿾㔡ߩ೨ᓟߢ㧘⿥ૐ๟ᵄ࿾㔡ߩᵴേ߳ߩᓇ㗀ࠍ⺞ߴߚ⚿ᨐ㧘ᷓㇱࠃࠅᵻㇱߩᣇ߇㧘ᵴേߩᄌൻ߇ᄢ߈ߊߥࠆߎߣࠍᜰ
៰ߒߚ㧚ߒ߆ߒ㧘ߎߎߢᗐቯߒߚᶏḴဳᏂᄢ࿾㔡ߪ㧘⚂ 100 ᐕߦ㧝࿁ߩ㗫ᐲߢ⊒↢ߒ㧘ࡊ࡟࡯࠻㑆ߩᐔဋ࿕⌕₸߽㧠ഀ⒟ᐲߣߥߞߡ߅ࠅ㧘᧲ർ࿾ᣇᄥ
ᐔᵗᴒ࿾㔡ߢᶏḴઃㄭߦᏂᄢߔߴ
ࠅࠍ߽ߚࠄߒߚ㧘ᶏḴઃㄭ߹ߢ⓭߈࿑㧝㧚᧲ർ࿾ᣇᄥᐔᵗᴒ࿾㔡ߦ߅ߌࠆ࿾㔡ᤨߔߴࠅಽ

ᛮߌߚ࿾㔡ᕈߔߴࠅ߇ౣ⃻಴᧪ߡᏓߩផቯ⚿ᨐߩ৻଀ [4]㧚޿ߥ޿ (࿑㧝)㧚

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2 ߘߎߢᧄ⎇ⓥߢߪ㧘ᶏḴ߹ߢ࿾㔡ᕈߔߴࠅ߇⓭߈ᛮߌࠆ߶ߤᒝߊ࿕⌕ߔࠆ႐วߣ࿾㔡ᕈߔߴࠅ߇ᶏḴ߹ߢ⓭߈ᛮߌߥ޿ᒙ޿࿕⌕ߩ႐วߦߟ޿ߡ㧘ᄢⷙᮨߥᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦ
ߩ⸘▚⚿ᨐࠍᲧセߒ㧘ᵻㇱ⿥ૐ๟ᵄ࿾㔡ߩᵴേᄌൻߩ․ᓽߦߟ޿ߡߩ᛽಴ࠍ⹜ߺࠆ㧚㧞㧚ᶏḴဳᏂᄢ࿾㔡ߩࡕ࠺࡞ൻ
㧞㧚ᶏḴဳᏂᄢ࿾㔡ߩࡕ࠺࡞ൻ ࡊ࡟࡯࠻㑆࿕⌕ߩലᨐࠍᲧセߔࠆߚ߼㧘⸘▚ᚻᴺ߿ᗐቯࡄ࡜ࡔ࠲࡯୯ߪ㧘೨࿁ [3] ߣ౒ㅢߦߒߚ㧚ᧄ⎇ⓥߢߪ㧘ㅦᐲ࡮⁁ᘒଐሽ៺ᡂ᭴ᚑೣߩ߁ߜ㧘ࠁߞߊࠅ࿾㔡ߩ⊒↢⃻⽎ࠍౣ⃻ߒᤃ޿ slowness-law ࠍㆡ↪ߒߚ [5]㧚៺ᡂ቟ቯᕈߩⓨ㑆ಽᏓࠍ࿑㧞ߦ␜ߔ㧚ߎߎߢߪᏂᄢ
ࠕࠬࡍ࡝࠹ࠖߩ៺ᡂ․ᕈ (b ୯) ࠍᄌ߃ࠆߎߣߦࠃߞߡ㧘࿕⌕ᒝᐲ߇⇣ߥࠆ㧞ߟߩࡕ࠺࡞ࠍ
᭴▽ߒߚ㧚ߎߩ㧞ߟߩࡕ࠺࡞ߦߟ޿ߡ㧘ᧄ⎇ⓥߢߪ㧘 strong coupling model, weak coupling
model ߣ๭߱ߎߣߦߔࠆ㧚࿑㧞㧚strong coupling model ߦ߅ߌࠆ៺ᡂ቟ቯᕈߩⓨ㑆ಽᏓ࿑㧚ᥦ⦡♽ߪ៺ᡂ቟ቯ (☼ᕈ⊛
ߥߔߴࠅ․ᕈ)㧘ኙ⦡♽ߪ៺ᡂਇ቟ቯ (࿕⌕ߣ࿾㔡ᕈߔߴࠅߩ➅ࠅ㄰ߒ) ࠍ␜ߔ㧚ᄢ߈ߥᬦ౞ၞౝߪᶏḴဳᏂᄢ࿾㔡ߩ㔡Ḯၞߦ⋧ᒰߒ㧘strong / weak (coupling model) ߦ߅޿ߡ㧘 ߩ୯
ߪ㧘-3.8 / 9.8 [10-4] ߣߒߚ㧚weak coupling model ߦߟ޿ߡߪ㧘ోߡߩ౉ജࡄ࡜ࡔ࠲࡯ߪ೨
࿁ [3] ߣోߡห৻ߣߥߞߡ޿ࠆ㧚 
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!"#$%&'()*+

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3

㧟㧚ࡊ࡟࡯࠻㑆࿕⌕ߩᒝᒙߦၮߠߊ࿾㔡ᕈߔߴࠅಽᏓߩᲧセᧄ⎇ⓥߩ㧞ߟߩ
ࡕ࠺࡞(strong /weak coupling model)ߢౣ⃻ߐࠇߚᶏḴဳᏂᄢ࿾㔡ߩ࿾㔡ᕈߔߴࠅಽᏓߣ․ᓽߦߟ޿ߡ㧘ߘࠇߙࠇ࿑㧟ߣ⴫㧝ߦ␜ߔ㧚࿑ 㧟 ߩ strong
oupling model ߢߪ㧘ᥦ⦡ၞߦ߅޿
ߡ㧘ᶏᵗࡊ࡟࡯࠻
ߣ㒽஥ࡊ࡟࡯࠻߇
߶߷ቢోߦ࿕⌕ߒ㧘ᶏḴဳᏂᄢ࿾
㔡ߩ㓙ߦ㧘ᶏḴ߹
ߢ 2m એ਄ߩߔߴ
ࠅ߇⓭߈ᛮߌߡ޿
ࠆߎߣ߇ಽ߆ࠆ㧚
৻ ᣇ ߢ

weak

coupling model ߢߪ㧘࿾㔡ᕈߔߴࠅ
߇ᶏḴ߹ߢ⓭߈ᛮߌߥ޿ߚ߼㧘ᄢ߈ߥᵤᵄ߇⊒↢ߒߦߊ޿࿾㔡ߢ޽ࠅ㧘࿑㧟㧚(਄) strong (ਅ) weak coupling model ߦ߅ߌࠆ㧘࿾㔡ᕈߔߴࠅ (Dseis)

1944 ᐕߩ᧲ධᶏ࿾ߩⓨ㑆ಽᏓ࿑㧚ߎߎߢߪ㧘3cm/sec ࠃࠅ㜞ㅦߥߔߴࠅߣቯ⟵ߒߚ㧚ࡊ࡟

㔡 [3] ߣ⺞๺⊛ ߢ࡯࠻㑆ࠞ࠶ࡊ࡝ࡦࠣ₸ (Cseis) ߳ߩ឵▚ߪ㧘(࿾㔡ᕈߔߴࠅ㊂) / (㧝ࠨࠗࠢ޽ࠆ㧚࡞ߩ✚ߔߴࠅ㊂) ߆ࠄ▚಴ߒߚ㧚⴫㧝㧚strong/ weak coupling model ߢߩᶏḴဳᏂᄢ࿾㔡ߩᲧセ㧔̪࿑㧟ߩᵈ㉼ࠍෳᾖ㧚
㧕
‛ℂࡄ࡜ࡔ࠲࡯ / ࡕ࠺࡞ౣ᧪㑆㓒࡮ⷙᮨ
Dseis, Csseis ߩᦨᄢ୯㧔̪㧕⎕უၞ

strong coupling model

weak coupling model

143 ᐕ㧧Mw8.3

113 ᐕ㧧Mw7.9

5.3m㧦93%

3.4m㧦74%ᶏḴ߹ߢ⓭߈ᛮߌࠆ

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4㧠㧚ᶏḴဳᏂᄢ࿾㔡ࠨࠗࠢ࡞ߦ઻߁⿥ૐ๟ᵄ࿾㔡ߩ㐳ᦼᄌൻ㧠㧚ᶏḴဳᏂᄢ࿾㔡ࠨࠗࠢ࡞ߦ઻߁⿥ૐ๟ᵄ࿾㔡ߩ㐳ᦼᄌൻ࿑㧠ߦ㧘ᵻㇱ஥ߣᷓㇱ஥ߩዊࠕࠬࡍ࡝࠹ࠖᏪ (࿑㧞ࠍෳᾖ) ߦ߅ߌࠆߔߴࠅㅦᐲߩⓨ㑆ጁᱧࠍ␜ߔ㧚ᤨ㑆ゲ (ᮮゲ) ߦߟ޿ߡߪᶏḴဳᏂᄢ࿾㔡ߩ⊒↢ᤨೞࠍ㐿ᆎᤨೞߣߒߡ޿ࠆ㧚ߎߩ࿑ߢߪ㧘⿒޿⦡ࠍߒߚㇱಽ߇ࠁߞߊࠅ࿾㔡ߦ⋧ᒰߒ㧘⊒↢ᤨ㑆㑆㓒࡮વ᠞ㅦᐲ㧔㤛࡮ᯍ⦡ߩ௑߈߆ࠄ᳞߼ࠆ㧕ࠍⷞⷡ⊛ߦᝒ߃ࠆ੐߇ߢ߈ࠆ㧚ߎߎߢ㧘weak / strong coupling model ߢᲧߴࠆߣ㧘ᷓㇱ஥ߪਔ⠪ߦᄢ߈ߥᏅߪ⷗ࠄࠇߥ޿
߇㧘Ꮒᄢ࿾㔡⊒↢⋥ᓟ (ᤨೞ߇ 0 ㄭㄝ) ߢߩᵻㇱ஥ߦᵈ⋡ߔࠆߣ㧘weak coupling model ߢߪ㗫⊒ߔࠆ᭽ሶ߇⸻ࠄࠇࠆ߇㧘ᷓㇱ஥ߢߪᥦ⦡♽ߩ⦡߇ోߊߥ޿㧚ߎࠇߪࠁߞߊࠅ࿾㔡ߩ㕒
Ⓩൻࠍᗧ๧ߒ㧘․ߦਛᄩઃㄭ (Strike~0) ߢߪߘߩ⛮⛯ᤨ㑆߇㐳ߊߥࠆ௑ะ߇ߺࠄࠇࠆ㧚࿑㧠㧚Ꮐ߇ weak coupling model㧘ฝ߇ strong coupling model㧘਄߇ᵻㇱ㧘ਅ߇ᷓㇱߩዊࠕࠬࡍ࡝࠹ࠖᏪ (࿑㧞) ߢߩߔߴࠅㅦᐲߩⓨ㑆ጁᱧࠍ␜ߔ㧚⿒⦡߇ࠁߞߊࠅ࿾㔡㧘㕍⦡߇࿕⌕ߦ⋧ᒰߔࠆ㧚ᮮゲߩᤨ㑆ߪ㧘ᶏḴဳᏂᄢ࿾㔡ߩ⊒↢ᤨೞࠍේὐߣߒ㧘❑ゲߩේὐߪ࿑㧞ߣห᭽ߦᏂᄢࠕࠬࡍ࡝࠹ࠖߩਛᄩߦ૏⟎ߔࠆ㧚 ᧄⓂߢߪ㧘weak / strong coupling model ߩ㧞ߟࠍ଀ߣߒߡ␜ߒߚ߇㧘ઁߦ߽ᄙᢙߩᢙ୯ࠪ
ࡒࡘ࡟࡯࡚ࠪࡦࠍ⹜ⴕߒߚ⚿ᨐ㧘Ꮒᄢࠕࠬࡍ࡝࠹ࠖౝߩ៺ᡂਇ቟ቯᕈ߇ᄢ߈޿߶ߤ㧘㕒Ⓩ
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5

㧡㧚߹ߣ߼
 㧠㧚ߩ⚿ᨐߦၮߠ޿ߡ㧘᧲ർᴒ๟ㄝߢߩ⿥ૐ๟ᵄ࿾㔡ߩᵴേߣࡊ࡟࡯࠻㑆࿕⌕ߣߩ㑐ଥࠍ࿑㧡ߦ߹ߣ߼ߚ㧚 ᧲ർ࿾ᣇᄥᐔᵗᴒ࿾㔡⊒↢ᓟߦ߅޿ߡ㧘ࠁߞߊࠅ࿾㔡ߩ৻⒳ߢ޽ࠆ⿥ૐ๟ᵄ࿾㔡ߩᵴേߦߟ
޿ߡ㧘ችၔᴒߢߪ㕒Ⓩൻ߇ߺࠄࠇ㧘⑔ፉ࡮⨙ၔ࡮ጤᚻᴒߢߪᵴ
⊒ൻߒߚ [6]㧚 ߎߩ⚿ᨐࠍ࿑㧠ߦᒰߡߪ߼ࠆ
ߣ㧘ችၔᴒઃㄭߢߪࡊ࡟࡯࠻㑆࿕⌕߇㕖Ᏹߦᒝߊ㧘⑔ፉ࡮⨙ၔ࡮ጤᚻᴒߢߪ㧘ࡊ࡟࡯࠻㑆࿕⌕߇ችၔᴒߦᲧߴߡᒙ޿㧘ᄖ✼ㇱߦ⋧ᒰߔࠆߣ⠨߃ࠄࠇࠆ㧚 ߹ߚ㧘੹ᓟߩ᷹ⷰ߆ࠄ᣿ࠄ߆
ߦߐࠇࠆችၔᴒߢߩ㕒Ⓩൻߩ⛮⛯ᦼ㑆߿㧘ߘߩ㗔ၞߩᐢ߇ࠅ߆

࿑㧡㧚2011 ᐕ 3 ᦬ 11 ᣣߩ᧲ർ࿾ᣇᄥᐔᵗᴒ࿾㔡ߩ࿾㔡ࠄ㧘᧲ർ࿾ᣇᄥᐔᵗᴒ࿾㔡ߢᏂᤨߔߴࠅಽᏓ [7] ߦ㧘2011 ᐕ 6 ᦬ 1 ᣣ㨪11 ᦬ 1 ᣣߢ⏕⹺ᄢߔߴࠅࠍ⊒↢ߐߖߚ㗔ၞߦߟߐࠇߚ⿥ૐ๟ᵄ࿾㔡 (VLF event) ߩ㔡ᄩಽᏓ(⿒ਣ) [8]㧘޿ߡ㧘ࡊ࡟࡯࠻㑆࿕⌕߇ߤࠇ߶࿾㔡ᵴേߩᷓㇱႺ⇇✢ (᩶⦡✢) [9 Igarashi]㧘ᧄ⎇ⓥߩᢙߤᒝ㕢ߥߩ߆ࠍផቯߔࠆᚻដ߆

୯ࠪࡒࡘ࡟࡯࡚ࠪࡦ⚿ᨐߦၮߠߊ⸃㉼ (㐳ᣇᒻߩὐ✢㗔ࠅߣߥࠈ߁㧚ၞ) ࠍ㊀ߨߚ߽ߩ㧚 એ਄ࠃࠅ㧘ᵻㇱ⿥ૐ๟ᵄ࿾㔡ߩᵴേࠍ⋙ⷞߔࠆߎߣߢ㧘ࡊ࡟࡯࠻㑆࿕⌕ߩᤨ㑆ᄌൻࠍㅊ߁ߣ޿߁ᣂߚߥࠕࡊࡠ࡯࠴ࠍ㧘ᧄ⎇ⓥߩᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦ߆ࠄ⷗಴ߔߎߣ߇ߢ߈ߚ㧚⻢ㄉ ᧄ⎇ⓥߢߪ㧘᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߣߩ౒ห⎇ⓥߦࠃߞߡ㐿⊒ߐࠇߚ㧘
SX-9 ะߌߦᦨㆡൻߐࠇߚ FFT ߩ⸘▚ࡊࡠࠣ࡜ࡓࠦ࡯࠼ࠍ૶↪ߒߚ㧚ߎࠇߦࠃࠅ㧘೨࿁ߩࡕ࠺࡞ࠃࠅ߽ᶏḴઃㄭߢߩ⸘▚ࡔ࠶ࠪࡘࠍ⚦ಽൻߒ㧘120 ਁ୘߽ߩ⸘▚ࡔ࠶ࠪࡘࠍ᦭ߔࠆᄢⷙ
ᮨࠪࡒࡘ࡟࡯࡚ࠪࡦࠍታᣉߔࠆߎߣ߇น⢻ߣߥࠅ㧘⸃௝ᐲߩ㜞޿ㅪ⛯⊛ߥߔߴࠅㆊ⒟ࠍౣ
⃻ߔࠆߎߣ߇ߢ߈ߚ㧚 


6

ෳ⠨ᢥ₂
[1] Ide, S., G. C. Beroza, D. R. Shelly, and T. Uchide, 2007. A scaling law for slow earthquakes,
Nature 447, 76-79, doi:10.1038/nature05780.
[2] Sugioka, H., T. Okamoto, T. Nakamura, Y. Ishihara, A. Ito, K. Obana, M. Kinoshita, K.
Nakahigashi, M. Shinohara, Y. Fukao, 2012. Tsunamigenic potential of the shallow

subduction plate boundary inferred from slow seismic slip, Nature Geoscience 5,414-418. doi:10.1038/NGEO1466.
[3] ᦭ศ ᘮ੺࡮᧻Ỉ ᥰ࡮ᣣ㊁ ੫ᄥ࡮㐳⼱Ꮉ ᤘ࡮ၳ 㜞ፄ࡮ਛ↰ ઎ሶ࡮㊄↰ ⟵ⴕ, 2011. ᶏḴઃㄭߢ⊒↢ߔࠆᵻㇱࠁߞߊࠅ࿾㔡ߩ․ᓽ, SENAC 44(4), 33-46.
[4] ࿖࿯࿾ℂ㒮, 2011, ᧲ർ࿾ᣇᄥᐔᵗᴒ࿾㔡ߩ㒽ၞ෸߮ᶏၞߩ࿾ᲖᄌേߣṖࠅಽᏓࡕ࠺࡞,http://www.gsi.go.jp/cais/topic110520-index.html.
[5] Ampuero, J.-P. and A. M. Rubin, Earthquake nucleation on rate and state faults – Aging and slip
laws, J. Geophys. Res. 113, B01302, doi:10.1029/2007JB005082.
[6] Matsuzawa, T., Y. Asano, K. Obara, 2012, Shallow very low frequency earthquakes off the
Pacific coast of Tohoku, Japan, 2012 Fall Meeting, AGU, S41D-07.
[7] Yagi, Y. and Y. Fukahata, 2011, Rupture process of the 2011 Tohokúoki earthquake andabsolute elastic strain release, Geophys. Res. Lett. 38, L19307, doi:10.1029/2011GL048701.
[8] 㒐ἴ⑼ቇᛛⴚ⎇ⓥᚲ, 2012, ᣣᧄ๟ㄝߦ߅ߌࠆᵻㇱ⿥ૐ๟ᵄ࿾㔡ᵴേ (2011 ᐕ 6 ᦬~10᦬), ࿾㔡੍⍮ㅪ⛊ળળႎ 87, 1-2.

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

Building-Cube Method ࠍ↪޿ߚࠛࡦࠫࡦ࠽࠮࡞ࠗࡦ࡟࠶࠻߆ࠄߩ㛍㖸વ᠞⸃ᨆ
⑔ፉ⵨㚍 㧘ᄢᨋ⨃ 㧘૒‫ᧁޘ‬ᄢテ 㧘ਛᯅ๺ඳ 1᧲ർᄢቇᄢቇ㒮Ꮏቇ⎇ⓥ⑼㧘2 ᧲ർᄢቇᵹ૕⑼ቇ⎇ⓥᚲ
3㊄ᴛᎿᬺᄢቇᎿቇㇱ㧘4 ቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴ ᰴ਎ઍߩᢙ୯ᵹ૕⸃ᨆᚻᴺߣߒߡឭ᩺ߐࠇߚ Building-Cube Method ࠍ↪޿ߡ㧘⥶ⓨಽ㊁ࠍਛᔃߦታ↪⊛ߥᄢⷙᮨࠪࡒࡘ࡟࡯࡚ࠪࡦߩขࠅ⚵ߺࠍㅴ߼ߡ޿ࠆ㧚ᧄⓂߢߪ Building-Cube Method ߩ೑ὐࠍ↢߆ߒߡ㧘⥶ⓨᯏࠛࡦࠫࡦ߆ࠄ⊒↢ߔࠆ㛍㖸ߩ⸃ᨆࠍⴕ޿㧘ߘߩ⚿ᨐࠍ␜ߔ㧚㛍㖸ߩ⸃ᨆߦߪ㜞๟ᵄࠍ⸃௝ߔࠆߚ߼ߦ⤘ᄢߥᩰሶὐᢙ߇ᔅⷐߣߥࠅ⸘▚⽶⩄߇㜞ߊߥࠆ௑ะߦ޽ࠆ߇㧘ࡌࠢ࠻࡞ൻߐࠇߚ Building-Cube Method ࠰࡞ࡃ࡯ߣࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩ⸘▚ᯏⅣႺߩ೑
↪ߦࠃࠅᄢⷙᮨⓨജ㖸㗀⸃ᨆࠍታ⃻ߒߚ㧚㧝㧚 ✜⸒
ㄭᐕ㧘㜞ࡃࠗࡄࠬᲧࠛࡦࠫࡦߩណ↪ߥߤߦࠃߞߡ⥶ⓨᯏ߆ࠄ⊒↢ߔࠆ㛍㖸ߪૐਅߒߡ޿ࠆ㧚ߘߩ৻ᣇߢ㧘ⓨ᷼ઃㄭߩ㛍㖸ⷙ೙ߪએ೨ߦჇߒߡ෩ߒߊߥߞߡ߅ࠅ㧘⥶ⓨᯏ߆ࠄ⊒↢ߔࠆ㛍㖸ߩᦝߥࠆૐ㛍㖸ൻߦะߌߚ⎇ⓥߪࠃࠅ㊀ⷐߦߥߞߡ޿ࠆ㧚⥶ⓨᯏ߆ࠄߩ㛍㖸ߪࠛࡦࠫࡦ㛍㖸㧘ᯏ૕㛍㖸ߦಽߌࠆߎߣ߇ߢ߈㧘ࠛࡦࠫࡦ㛍㖸ߦߪࡈࠔࡦ㛍㖸㧘ࠫࠚ࠶࠻㛍㖸߇޽ࠆ㧚ࠛࡦࠫࡦ߇ࡈ࡞ࠬࡠ࠶࠻࡞ߩ⁁ᘒߢ޽ࠆ㔌㒽ᤨߦߪࡈࠔࡦ㛍㖸㧘ࠫࠚ࠶࠻㛍㖸߇ᡰ㈩⊛ߢ޽ࠅ㧘⌕㒽ᤨߦߪࠬ࡜࠶࠻߿ዷ㐿ਛߩࡈ࡜࠶ࡊߥߤߩ㜞឴ജⵝ⟎㧘⣉ߥߤߩ㒠⌕ⵝ⟎߆ࠄ⊒↢ߔࠆᯏ૕㛍㖸ߩഀว߇Ⴧടߔࠆߣ޿߁௑ะ߇㗼⪺ߦ⷗ࠄࠇࠆ㧚 ৻⥸⊛ߥⓨജ㖸㗀႐ߩᢙ୯⸃ᨆߪ㧘ᦨೋߦ㖸Ḯ๟ㄝߩᵹࠇ႐ࠍ࠽ࡆࠛ࡮ࠬ࠻࡯ࠢࠬᣇ⒟ᑼߢ⸃
߈㧘ߘߩ⚿ᨐ߆ࠄ Lighthill ߩ㖸㗀ቇ⊛㘃ផߦၮߠ޿ߡ㆙ᣇ㖸႐ࠍ੍᷹ߔࠆߣ޿߁ಽ㔌ᣇᴺ߇↪޿ࠄࠇࠆ㧚࿕૕Ⴚ⇇ߩᓇ㗀ࠍ⠨ᘦߒߚ Curle ߩᑼࠍ↪޿ߚ⸃ᨆߪ⸘▚ࠦࠬ࠻ߩὐ߆ࠄఝࠇߡ߅ࠅ㧘ᐢߊ↪޿ࠄࠇߡ޿ࠆ[1]㧚ߒ߆ߒߎߩᚻᴺߦߪ㧘ᵹࠇ႐ߩ৻᭽ᕈ㧘㖸Ḯߩࠦࡦࡄࠢ࠻ᕈࠍ઒ቯߒߡ
޿ࠆߣ޿߁໧㗴ὐ߽޽ࠆ㧚ߎࠇߦኻߒߡ㧘࿶❗ᕈࠝࠗ࡜࡯ᣇ⒟ᑼࠍ㖸ᵄᚑಽߦኻߒߡ✢ᒻൻߒߚ✢ᒻࠝࠗ࡜࡯ᣇ⒟ᑼ (Linearized Euler Equation, LEE)ࠍ↪޿ߚ⸃ᨆᴺ߇ᵈ⋡ߐࠇߡ߅ࠅ㧘ゲኻ⒓ࠛ
ࡦࠫࡦᒻ⁁߆ࠄߩ㛍㖸⸃ᨆߦ↪޿ࠄࠇߡ޿ࠆ[2]㧚LEE ߦࠃࠆ⸃ᨆߪ㧘⸃ᨆኻ⽎߇৻᭽ߥᵹࠇ႐ߩ
㗔ၞߦ㒢ቯߐࠇߕ㧘‛૕ㄭறߢߩ࿁᛬߿෻኿߽ขࠅ౉ࠇߚ㛍㖸ߩ੍᷹ߦㆡߒߡ޿ࠆ㧚ታ〣⊛ߥⶄ㔀ᒻ⁁ࠍขࠅᛒ߁ߎߣࠍ⠨߃ࠆߣ㧘ᓥ᧪ߩ᭴ㅧᩰሶ㧘㕖᭴ㅧᩰሶࠍ↪޿ߚᚻᴺߢߪ
ߘࠇߙࠇ⺖㗴߇޽ࠆ㧚᭴ㅧᩰሶࠍ↪޿ߚ⸃ᨆߢߪ㧘‛૕ᒻ⁁ߦᴪߞߚᩰሶࠍ㈩⟎ߔࠆߚ߼ߦ‛૕ㆡวᕈߦఝࠇߡ޿ࠆ߇㧘⥶ⓨᯏోᯏᒻ⁁߿ߐࠄߦⶄ㔀ߥᒻ⁁๟ࠅߦᩰሶࠍ↢ᚑߔࠆߦߪ⤘ᄢߥᤨ㑆ࠍⷐߒ㧘ታ↪⊛ߢߪߥ޿㧚㕖᭴ㅧᩰሶߦࠃࠆ⸃ᨆߪ㧘ⶄ㔀ᒻ⁁ࠍᛒ߁ߩߦఝࠇߡ޿ࠆ߇㧘৻⥸ߦⓨ㑆♖ᐲ߇ૐߊ㧘㜞ᰴ♖ᐲߩ⸃ᨆᚻᴺߢ޽ࠆ Discontinuous Galerkin Method (DGM)ߢߪᩰሶὐᒰ
ߚࠅߩ⸘▚ࠦࠬ࠻߇ᄢ߈ߊߥࠆ㧚ߘߎߢᧄ⎇ⓥߢߪ㧘න⚐ߥ⋥੤ᩰሶࠍ↪޿ߚ⸃ᨆߦ⌕⋡ߒߚ㧚⋥੤ᩰሶߦࠃࠆ⸃ᨆߢߪ㧘ⓨ㑆ࠍ⋥੤ߦಽഀߔࠆߣ޿߁◲ଢߐߩߚ߼ߦⶄ㔀ᒻ⁁ࠍኈᤃߦᛒ߁ߎ
ߣ߇ߢ߈ࠆ㧚߹ߚ㧘ⓨ㑆㜞ᰴ♖ᐲൻ߇ኈᤃ㧘⸘▚ല₸߇㜞޿ߣ޿߁೑ὐ߽޽ࠆ㧚⋥੤ᩰሶࠍ↪޿ߚ⸃ᨆߪ㧘㓏Ბ⁁ㄭૃߦࠃࠆᓇ㗀ࠍߢ߈ࠆߛߌዊߐߊߔࠆߚ߼ߦ㧘‛૕ㄭறߦ⚦߆޿ᩰሶࠍᔅⷐߣߔࠆ㧚ߒ߆ߒ㧘╬㑆㓒ᩰሶ߿ਇ╬㑆㓒ᩰሶߦ߅޿ߡ㜞ኒᐲߥᩰሶࠍ↪޿ࠆߣ㧘⚦߆޿ᩰሶὐ߇ਇᔅⷐߥ㆙ᣇߦ߹ߢ㈩⟎ߐࠇࠆ㧚ߘߎߢᧄ⎇ⓥߢߪ㧘ਛᯅߩឭ᩺ߒߚ⋥੤Ⓧߺ਄ߍᴺ (Building-Cube Method, BCM [3])ߦࠃࠅ⸃ᨆࠍⴕ߁㧚‛૕߆ࠄ㔌ࠇߚ㗔ၞߦ߅޿ߡߪᔅⷐචಽ
ߥኒᐲߩᩰሶࠍ↪޿ࠆ৻ᣇߢ㧘‛૕ㄭறߦߪࠃࠅ⚦߆ߊ⚦ಽൻߐࠇߚᩰሶࠍ↪޿ࠆߎߣߢ㧘ᩰሶ 

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ὐᢙߩჇടࠍᛥ߃ߥ߇ࠄ㓏Ბ⁁ㄭૃߦࠃࠆ⺋Ꮕࠍᛥ೙ߢ߈ࠆ㧚ߒ߆ߒߥ߇ࠄ㧘ዪᚲ⚦ಽൻᩰሶߩ
ߺߢߪ㧘‛૕ㄭறࠍߤࠇ߶ߤ⚦߆ߊ⚦ಽൻߒߡ߽㧘⴫㕙ߦ㑐ߒߡߪ㓏Ბ⁁ㄭૃߩᓇ㗀ߪᱷߞߡߒ
߹߁ߚ߼㧘ࠃࠅ㜞♖ᐲߥო㕙ߩขࠅᛒ޿߇ᦸ߹ߒ޿㧚ട߃ߡ㧘㓁⸃ᴺߦࠃࠆ⸃ᨆߢߪᦨዊᩰሶ᏷
ߦࠃߞߡᤨ㑆ࠬ࠹࠶ࡊ߇᳿ቯߒߡߒ߹߁㧚ߎࠇࠄߩߎߣࠃࠅ㧘♖ᐲ⦟޿⸃ᨆࠍታ↪⊛ߥ⚦߆ߐߢⴕ߁ᔅⷐ߇޽ࠅ㧘ᧄ⎇ⓥߢߪၒ߼ㄟߺႺ⇇ᴺ(Immersed Boundary Method, IBM)ߦࠃࠆ‛૕⴫⃻ࠍ↪
޿ࠆ㧚 ᧄⓂߢߪ㧘BCM ߩࠕ࡞ࠧ࡝࠭ࡓߦၮߠߊ LEE ࠰࡞ࡃ࡯ࠍ↪޿ߡ⥶ⓨᯏࠛࡦࠫࡦࠍᮨߒߚ
Generic Inlet ᒻ⁁߆ࠄߩ㛍㖸વ᠞ߩ⸃ᨆࠍⴕ߁㧚Ყセߩኻ⽎ߪ 50m ㆙ᣇߦ߅ߌࠆ Sound Pressure
Level (SPL)ಽᏓߢ޽ࠅ㧘㆙ᣇߢߩᜰะᕈߩផቯߪ Ffowcs Williams-Hawkings (FW-H)ᴺߦࠃࠅⴕ߁㧚⸘▚㗔ၞౝߩ Point Per Wavelength (PPW)ߩᄌൻ㧘FW-H 㕙ߩ૏⟎ߦࠃࠆᄌൻ㧘࠽࠮࡞๟ࠅߩᩰሶࠍ
⚦ಽൻߒߚ㓙ߩᄌൻࠍߘࠇߙࠇᲧセߔࠆߎߣߦࠃࠅ㧘ᧄ⸘▚ᚻᴺߩ㛍㖸⸃ᨆߦ߅ߌࠆ᦭ലᕈࠍᬌ⸽ߔࠆ㧚㧞㧚 ⸘▚ᚻᴺ
㧞㧚㧝 ✢ᒻൻࠝࠗ࡜࡯ᣇ⒟ᑼ(Linearized Euler Equations, LEE)㛍㖸વ᠞ߩᡰ㈩ᣇ⒟ᑼߢ޽ࠆ LEE ࠍᑼ(1)㧘(2)ߦ␜ߔ㧚LEE ߪ㧘࿶❗ᕈࠝࠗ࡜࡯ᣇ⒟ᑼߩ‛ℂᄌᢙ Q ࠍ Q=Q0+Q’ߩࠃ߁ߦᵹࠇ႐ߩᐔဋᚑಽ Q0 ߣᄌേᚑಽ Q’ߦಽ⸃ߔࠆߎߣߢᓧࠄࠇࠆ㧚(1)㧘(2)ߦ߅޿ߡ H ߪᐔဋᚑಽߩⓨ㑆ᄌേߦߟ޿ߡߩ㗄ߢ޽ࠅ㧘S ߪ㖸Ḯ㗄ߢ޽ࠆ㧚߹ߚ㧘 ߪᲧᾲᲧߢ޽
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234567㧞㧚㧞 ⸘▚ࠕ࡞ࠧ࡝࠭ࡓ
ᢙ୯⸘▚ߪ BCM ߩ⸘▚ࠕ࡞ࠧ࡝࠭ࡓߦࠃࠅⴕࠊࠇࠆ[3]㧚BCM ߢߪ⸘▚㗔ၞో૕ߢ╬㑆㓒⋥੤ᩰሶࠍ↪޿ࠆߎߣߢ㧘೨ಣℂ࡮ᢙ୯⸘▚࡮ᓟಣℂߩߔߴߡߩᲑ㓏ߢಣℂࠍන⚐ൻߢ߈ࠆ㧚⸘▚ᩰሶߩ↢ᚑߪ㧘࿑ 1(a)ߩࠃ߁ߦ㧘⸘▚㗔ၞࠍ Cube ߣ๭߫ࠇࠆ 2n ୚ߩᄢ߈ߐߩ㆑޿ࠍᜬߟᱜᣇᒻ㗔ၞߦಽഀߒ㧘ᰴߦ㧘Cube ࠍ࿑ 1(b)ߩࠃ߁ߦฦゲᣇะหᢙߩᩰሶὐ(Cell)ߢಽഀߔࠆ㧚߹ߚ㧘ߘࠇߙࠇߩ Cube ߪ㓞ࠅว߁ Cube ߣ㊀ߥࠅวߞߚ overlap Cell ࠍ 3 ߟᜬߞߡ߅ࠅ㧘overlap Cell ߦ‛ℂ㊂ࠍ⵬㑆ߔࠆߎߣߢ㓞ࠅว߁ Cube ߣᖱႎ੤឵ࠍⴕ޿ߥ߇ࠄ⸘▚ࠍㅴ߼ࠆ㧚࿑ 2 ߦ LEE ࠰࡞ࡃ࡯ߩ
⸘▚ࠕ࡞ࠧ࡝࠭ࡓࠍ␜ߔ㧚⸘▚ߩೋᦼߢ⸘▚ᩰሶ߿‛૕ᒻ⁁࠺࡯࠲ࠍ౉ജߒ㧘೨ಣℂࠍⴕ߁㧚ᧄ⎇ⓥߢߪ Runge-Kutta ᴺߦࠃࠅᤨ㑆Ⓧಽࠍⴕ߁ߩߢ㧘ߘߩ෻ᓳ⸘▚ߩਛߢ㧘⸘▚㗔ၞࠍභ߼ࠆ Cubeౝߩ⸘▚ߪ OpenMP ߦࠃࠅਗ೉ߦⴕࠊࠇࠆ㧚BCM ߩ⸘▚ᩰሶߪ㧘ߔߴߡߩ Cube ߇หᢙߩ Cell ࠍ฽ࠎߢ޿ࠆߩߢ㧘ਗ೉⸘▚ߩ㓙ߦ⽶⩄ߩ஍ࠅ߇ߥߊਗ೉ൻല₸ߦఝࠇߡ޿ࠆ㧚Cube ߦ߅޿ߡ⸘▚ߔࠆౝኈߪએਅߢ޽ࠆ㧚
1.Cube Ⴚ⇇ߦ߅޿ߡ㓞ធߔࠆ Cube ߣߩᖱႎ੤឵
2.ᡰ㈩ᣇ⒟ᑼࠍ⸘▚3.Runge-Kutta ᴺߦ߅ߌࠆ઒ߩ‛ℂ㊂ Qsub ࠍᦝᣂ
4.✭ⴣ㗔ၞߢ‛ℂ㊂ࠍᷫ⴮ⓨ㑆ᓸಽߪ 4 ᰴ♖ᐲߩ᦭㒢Ꮕಽࠬࠠ࡯ࡓߢ޽ࠆ Dispersion Relation Preserving (DRP)ࠬࠠ࡯ࡓ[4]ࠍ↪޿ࠆ㧚߹ߚ㧘⸘▚ߢ⊒↢ߔࠆ㕖‛ℂ⊛ߥᝄേࠍขࠅ㒰ߊߚ߼ߦ 4 ᰴ♖ᐲߩ Damper ࠍㆡ↪ߒߡ޿ࠆ㧚ᤨ㑆Ⓧಽߦߪ 6 Ბ 4 ᰴ♖ᐲߩ Low Dissipation Dispersion Runge-Kutta (LDDRK)[5]ࠍ↪޿ࠆ㧚
LEE ࠰࡞ࡃ࡯ߩ⸘▚ߢߪ㧘⊒↢ߒߚ㛍㖸ߪ⸘▚㗔ၞߩᄖㇱႺ⇇ߢ෻኿ߒߡߒ߹߁㧚ߘࠇࠍ㒐ߋߚ߼㧘ᧄ⎇ⓥߢߪᄖㇱႺ⇇ઃㄭߦ✭ⴣ㗔ၞࠍ⸳ቯߒ㧘✭ⴣ㗔ၞߢߪ buffer zone Ⴚ⇇᧦ઙ[6]ߦࠃࠅ‛ℂ㊂ࠍᷫ⴮ߐߖࠆ㧚

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2YHUODS&HOO(a) ⸘▚㗔ၞౝߩ Cube(b) Cube ߩ᭴ᚑ (1515Cell, 3 overlap Cells)࿑ 1 ੑᰴరߩ⸘▚ᩰሶߩ଀ 

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࿑ 2 LEE ߩ⸘▚ࠕ࡞ࠧ࡝࠭ࡓ

㧞㧚㧟 ၒ߼ㄟߺႺ⇇ᴺ(Immersed Boundary Method, IBM) ᧄ⎇ⓥߢ↪޿ࠆ IBM ߪ ghost cell (GC)ߣ image point (IP)ࠍ↪޿ߚ߽ߩߢ޽ࠆ[7]㧚߹ߕ㧘‛૕ᒻ⁁ࠍ Stereo Lithography (STL)࠺࡯࠲ߣߒߡ౉ജߒ㧘ߘࠇࠍ↪޿ߡ⸘▚ Cell ߇‛૕ߩౝㇱ߆ᄖㇱ߆ࠍ್೎ߔࠆ㧚ߘߒߡ㧘‛૕ౝㇱߩ৻ጀ⋡ߩ Cell ࠍ GC ߣߒߡ↪޿ࠆ㧚ߘߒߡ㧘GC ߆ࠄ‛૕ု⋥ᣇะߦ㧘ᦨዊ Cell ߩ 1.5 ୚ߩ㐳ߐߩ૏⟎ߦ IP ࠍቯ⟵ߔࠆ㧚ߘߒߡ IP ߦ๟ࠅߩ Cell ߆ࠄ‛ℂ㊂ࠍ⵬㑆ߒ㧘IP ߢߩ୯ࠍ↪޿ߡ‛૕⴫㕙ߢṖࠅოႺ⇇᧦ઙࠍḩߚߔࠃ߁ߦ GC ߩ‛ℂ㊂ࠍ᳿ቯߔࠆ㧚IP ߳ߩ⵬㑆ࠍⴕ߁㓙㧘ਃᰴరߢߪ IP ࠍ࿐߻ 333 ߩ 27 ὐࠍ↪޿ߡㅒ〒㔌ട㊀ᴺߦࠃߞߡⴕ߁(࿑3)㧚

(a) GC ߩቯ⟵ߣ IP ߳ߩ⵬㑆        
࿑ 3 ၒ߼ㄟߺႺ⇇ᴺ

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qIP q9(b) IP ߳ߩ⵬㑆㧞㧚㧠 Cube Ⴚ⇇ߢߩᖱႎ੤឵
ᄢ߈ߐߩ㆑߁ Cube ߩႺ⇇ߢߪᩰሶὐ߇❬߇ߞߡ޿ߥ޿ߚ߼ߦ㧘⵬㑆ߦࠃߞߡᖱႎ੤឵ࠍⴕ߁ᔅ
ⷐ߇޽ࠆ㧚ᧄ⎇ⓥߢߪ㜞ᰴߩᄙ㗄ᑼ⵬㑆ᴺߢ޽ࠆ࡜ࠣ࡜ࡦࠫࡘ⵬㑆ࠍ↪޿ߚ[8]㧚ߎࠇߪ㧘ᑼ(3)㧘


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345678(4)ߦ␜ߔ〒㔌ߩ㊀ߺଥᢙࠍ↪޿ߡ⵬㑆ࠍⴕ߁߽ߩߢ޽ࠆ㧚
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QOC ߪ overlap Cell ߢߩ‛ℂ㊂ߢ޽ࠅ㧘wl(zOC)ߪ overlap Cell ߳ߩ⵬㑆ߦ↪޿ࠆ㊀ߺଥᢙߢ޽ࠆ㧚߹ߚ㧘xOC㧘yOC㧘zOC ߪ overlap Cell ߩ x,y,zᐳᮡߢ޽ࠅ㧘xi㧘yi㧘zi ߪ⵬㑆ߦ↪޿ࠆࠬ࠹ࡦࠪ࡞ߩᐳᮡߢ޽ࠆ㧚࿑ 4 ߪੑᰴరߢߩ⵬㑆ߦ↪޿ࠆࠬ࠹ࡦࠪ࡞㈩⟎ࠍ␜ߒߡ޿ࠆ㧚࿑ 4(a)ߪዊߐ޿ Cube ߆ࠄᄢ߈޿
Cube ߳ߩ⵬㑆ߦ↪޿ࠆࠬ࠹ࡦࠪ࡞ߢ޽ࠆ㧚Overlap Cell ߪ 1 ೉ߦኻߒߡ 3 ߟߢ޽ࠆ߇㧘࡞ࡦࠥ⃻⽎ࠍᛥ߃ࠆߚ߼㧘⵬㑆ߦ↪޿ࠆࠬ࠹ࡦࠪ࡞߇ኻ⒓ߣߥࠆࠃ߁ߦ Cube Ⴚ⇇ߦᦨ߽ㄭ޿ Cell ߪ 22ὐߢߩ⵬㑆㧘ߘߩઁ 2 ߟߪ 44 ὐߢߩ⵬㑆ࠍⴕ߁㧚࿑ 4(b)ߪᄢ߈޿ Cube ߆ࠄዊߐ޿ Cube ߳ߩ⵬㑆ߦ↪޿ࠆࠬ࠹ࡦࠪ࡞ߢ޽ࠆ㧚ߎߜࠄߪ overlap Cell 2 ೉ಽߩ⵬㑆ὐߦኻߒߡᄢ߈޿ Cube ߩ 33ὐߩหߓ Cell ߩ‛ℂ㊂ࠍ↪޿ߚ⵬㑆ࠍⴕ߁㧚(a) ዊߐ޿ Cube ߆ࠄᄢ߈޿ Cube ߳ߩ⵬㑆  (b) ᄢ߈޿ Cube ߆ࠄዊߐ޿ Cube ߳ߩ⵬㑆࿑ 4 ⵬㑆ߩ↪޿ࠆࠬ࠹ࡦࠪ࡞㈩⟎㧞㧚㧡 㖸Ḯߩ⸳ቯᣇᴺ ࡈࠔࡦ㛍㖸ߩ౉ജߪ Tyler ߣ Sofrin ߦࠃࠅឭ᩺ߐࠇߚ spinning mode ౉ജߦࠃࠅਈ߃ࠆ㧚ߎࠇߪ㧘ࡈࠔࡦ߿േ⠢࡮㕒⠢ߩ⋧੕ᐓᷤߦࠃߞߡ⊒↢ߔࠆ㛍㖸ࠍᮨߒߚ߽ߩߢ޽ࠅ㧘એਅߩᑼߦࠃߞߡ㖸࿶ᄌേࠍਈ߃ࠆ߽ߩߢ޽ࠆ㧚(5)p '( x, r ,T , t ) a[ J m (kr r )  c1Ym (kr r )]cos(kt  ka x  mT )ߎߎߢ㧘Jm, Ym ߪߘࠇߙࠇ m ᰴߩ╙ 1 ⒳㧘2 ⒳ߩ Bessel 㑐ᢙߢ޽ࠆ㧚ka ߪ axial wavenumber㧘kr ߪradial wavenumber ߢ޽ࠆ㧚kr ߩ n ᰴߩ⸃ߪએਅߩᑼߦ೰ოߩႺ⇇᧦ઙࠍਈ߃ࠆߎߣߦࠃࠅ᳞߹ࠆ㧚d [ J m ( router k r )] d [Ym ( rinner k r )] d [ J m ( rinner k r )] d [Ym ( router k r )]
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(d / dr )[ J m (router kr )](d / dr )[Ym (router kr )](d / dr )[ J m (rinner kr )](d / dr )[Ym (rinner kr )](8)㧞㧚㧢 ㆙ᣇߢߩ㛍㖸ߩផቯᣇᴺ ᧄ⎇ⓥߢߪ Ffowcs Williams-Hawkings (FW-H)ᴺࠍ↪޿ߡ㆙ᣇ㖸႐ࠍផቯߔࠆ㧚FW-H ᴺߣߪ㧘ㄭறߩ㖸Ḯࠍ࿐߻㐽ᦛ㕙਄ߩ‛ℂ㊂࠺࡯࠲ߩᤨ㑆ᄌൻࠍ↪޿ߡ㧘㆙ᣇߢߩ‛ℂ㊂ߩᤨ㑆ᄌൻࠍផቯ
ߔࠆ⸘▚ᚻᴺߢ޽ࠆ㧚ߎߩ㐽ᦛ㕙ࠍ FW-H 㕙ߣ๭߱㧚㆙ᣇ႐ߩ㛍㖸ផቯߩߚ߼ߩ⸘▚ߩᵹࠇߪએ
ਅߩࠃ߁ߦߥࠆ㧚߹ߕ㧘ࡈࠔࡦ㕙ߦ spinning mode ౉ജࠍਈ߃ࠆ㧚ߘߒߡ㧘LEE ߦࠃࠅㄭறߢߩ
㛍㖸ߩવ᠞ࠍ⸃ᨆߔࠆ㧚ᦨᓟߦ FW-H ᴺߦࠃࠅ㆙ᣇߢߩ㛍㖸ߩવ᠞ࠍផቯߔࠆ㧚㧟㧚 Generic Inlet ๟ࠅߩ㛍㖸વ᠞⸃ᨆਃᰴరゲኻ⒓࠽࠮࡞ᒻ⁁ߢ޽ࠆ Generic Inlet ߆ࠄߩ㛍㖸વ᠞ࠍ⸃ᨆߒ㧘⸃ᨆࡄ࡜ࡔ࡯࠲ࠍᄌൻ
ߐߖߚ႐วߩ㆙ᣇߦ߅ߌࠆ SPL ಽᏓࠍᲧセߔࠆ㧚߹ߚ㧘DGM ࠍ↪޿ߚᏒ⽼ߩ⸘▚࠰࡞ࡃ࡯ߢ޽
ࠆ ACTRAN/DGM ߦࠃࠆ⸘▚⚿ᨐߣᲧセߔࠆߎߣߢ㧘ᧄᚻᴺߩ⸘▚♖ᐲࠍ⏕⹺ߔࠆ㧚⸘▚ኻ⽎ߣߥࠆ Generic Inlet ᒻ⁁ࠍ࿑ 5 ߦ␜ߔ㧚࿑ౝߩὐ✢ߪࡈࠔࡦ㕙ߩ૏⟎ߢ޽ࠆ㧚߹ߚ㧘㕍✢ߪ㖸㗀࡜ࠗ࠽࡯ߩ⸳⟎૏⟎ࠍ␜ߒߡ޿ࠆ߇㧘੹࿁ߩ⸃ᨆߢߪ↪޿ߥ޿㧚⸘▚㗔ၞߩේὐߪ࿑
5(a)ߩ z=0㧘y=0 ߩ૏⟎ߢ޽ࠅ㧘⸘▚㗔ၞߩᄢ߈ߐ߽࿑ 5(a)ߩ୯ࠍήᰴరൻߒߡ↪޿ߡ޿ࠆ㧚⊒↢ߔࠆ㛍㖸ߩ๟ᵄᢙߪ 1,578Hz ߢ޽ࠅ㧘spinning mode ߪࡕ࡯࠼(24,1)ࠍ↪޿ࠆ㧚 ⸘▚ᩰሶࠍ⸳ቯߔࠆ㓙ߦߪ߹ߕ㧘㖸Ḯ૏⟎ߣ✭ⴣ㗔ၞࠍ⠨ᘦߒߡ⸘▚㗔ၞࠍ⸳ቯߔࠆ㧚੹࿁ߩ⸃ᨆߢߪ⸘▚㗔ၞߩ y,z ᣇะߦήᰴర㐳ߐ 3 ߩ✭ⴣ㗔ၞࠍᜬߜ㧘ߘߩਛߦ⚂ 80 ὐߩᩰሶὐࠍ↪޿ࠆ㧚ߎࠇࠄߩࡄ࡜ࡔ࡯࠲ߪ㧘ㆊ෰ߩ⎇ⓥ߆ࠄචಽߥᷫ⴮ലᨐࠍᜬߞߡ޿ࠆߣ⠨߃ࠄࠇࠆ[9]㧚+x ᣇะߪߎߩ୚ߩ㗔ၞࠍᜬߞߡ޿ࠆ߇㧘-x ᣇะߪ⚂ 1.5 ߩ✭ⴣ㗔ၞࠍ⏕଻ߒߡ޿ࠆ㧚ߎࠇߪ࠽࠮࡞ࠍ
࿁᛬ߒߡᓟᣇߦ࿁ࠅㄟ߻㖸ᵄߪᒙߊ㧘චಽߦᷫ⴮ߐߖࠆߎߣ߇ߢ߈ࠆߣ⠨߃ࠄࠇࠆߚ߼ߢ޽ࠆ㧚ᰴߦ㧘㖸Ḯ๟ࠅߩ PPW ࠍ⸳ቯߒ㧘ߘࠇߦࠃߞߡ৻ߟߩ Cube ߩಽഀᢙࠍ᳿ቯߔࠆ㧚੹࿁ߩ⸃ᨆߢ
ߪ⸘▚㗔ၞߣ✭ⴣ㗔ၞࠍ᣿⏕ߦߔࠆߚ߼㧘߹ߚ㧘࠽࠮࡞๟ࠅߩᩰሶߩ⚦ಽൻࠍⴕ߁ߎߣࠍ⠨߃ᩰሶὐࠍ㈩⟎ߒߚ㧚 ࿑ 6 ߦ㧘⸘▚㗔ၞౝߩ Cube ㈩⟎ࠍ㧘⴫ 1 ߦ⸃ᨆߦ↪޿ߚᩰሶᖱႎࠍ␜ߔ㧚੹࿁ߩ⸃ᨆߢߪ Cube
ᢙ߇ 708 ߣ 1,464 ߩੑߟߩ㈩⟎ߣ㧘Cube ౝߩ৻ㄝߩಽഀᢙࠍ 30 ߣ 40 ߣߒߡ㧘ว⸘ 4 ࠤ࡯ࠬߩ⸃
ᨆࠍⴕ߁㧚࿑ 6(a)ߩ㈩⟎ߢߪᦨ߽ዊߐ޿ Cube ߩႺ⇇ߦ FW-H 㕙ࠍ⸳⟎ߒ㧘ߎࠇߦࠃࠅ㆙ᣇߢߩ㛍㖸ߩផቯࠍⴕ߁㧚ߚߛߒ㧘-x ᣇะߩႺ⇇ߪ࠽࠮࡞߇ㅜಾࠇࠆ૏⟎ߣߔࠆ㧚⸳⟎ߒߚ FW-H 㕙ࠃࠅ߽ᄖㇱߦ૏⟎ߔࠆ Cube ߢߪᩰሶߩ⸃௝ᐲ߇ዋߥ޿ߎߣߦࠃࠅ㛍㖸߇⥄ὼߦᷫ⴮ߔࠆ߆㧘߹ߚߪ
buffer zone ๆ෼Ⴚ⇇ߦࠃߞߡᷫ⴮ߐࠇࠆ㧚࿑ 6(b)ߦ㑐ߒߡߪ࿑ 6(a)ߣหߓ૏⟎ߦ FW-H 㕙ࠍ⸳⟎ߔࠆ߇㧘ߎߩߣ߈-x ᣇะߩ FW-H 㕙ߢߪᩰሶ߇⚦ಽൻߐࠇߡ޿ࠆߚ߼㧘ߎߩಽߛߌ FW-H 㕙਄ߩᩰሶὐᢙ߇Ⴧടߒߡ޿ࠆ㧚ߐࠄߦ Case1 ߦ㑐ߒߡ㧘FW-H 㕙ߩ૏⟎ࠍᄌൻߐߖߡ㆙ᣇߢߩផቯࠍⴕ
޿㧘ߎࠇࠄߩ⚿ᨐࠍ Case1-2㧘Case1-3 ߣߒߚ㧚FW-H 㕙ߩ૏⟎ߪ㧘Case1,2,3,4 ߢߪ x=[-0.5,4.0]㧘
y=[-3.0,3.0]㧘z=[-3.0,3.0]㧘Case1-2 ߪ x=[-0.5,2.5]㧘y=[-2.25,2.25]㧘z=[-2.25,2.25]㧘Case1-3 ߪ x=[-0.5,1.75]㧘
y=[-1.6,1.6]㧘z=[-1.6,1.6]ߢ޽ࠆ㧚


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123456

 (a) ੑᰴరᢿ㕙ᒻ⁁ (b) ਃᰴర STL ᒻ⁁
࿑ 5 Generic inlet ᒻ⁁(a) Case1,3(b) Case2,4
࿑ 6 ⸘▚㗔ၞౝߩ Cube ㈩⟎Min. Cell size
Ca
ase1㩷
Ca
ase2㩷
Case3
Case4

0.0188㩷
0.0094㩷
0.02500.0125⴫ 1 ⸘▚ᩰሶߩ⹦⚦Number of
Number ofCells in one
Cube
Cube
40×40×40
708
40×40×40
1,464
30×30×30
708
30×30×30
1,464

Total Numberof Cells
45,312,000
93,696,000
19,116,000
39,528,000

Max. PPW
11.68
23.37
8.76
17.53

 

  ࿑ 7 ߦ㧘Case1㧘Case2 ߢߩ㧘z=0 ᢿ㕙ߢߩ࿶ജᄌേಽᏓࠍ␜ߔ㧚࿑ 7 ߢߪ㧘✭ⴣ㗔ၞߣߥߞߡ
޿ࠆㇱಽߪ⋭޿ߡ߅ࠅ㧘߹ߚ㧘ਅඨಽߦߘࠇߙࠇߩᩰሶὐߩಽᏓࠍ৻ὐ߅߈ߦ␜ߒߡ޿ࠆ㧚࿑ 7ࠍ⷗ࠆߣ㧘ࡈࠔࡦ㕙ߢ⊒↢ߒߚ㛍㖸߇࠽࠮࡞ౝოࠍવࠊࠅ㧘ᦨ⚳⊛ߦ಴ญߢ࿁᛬ߒߡ㧘ඨᓘᣇะߦવ᠞ߒߡ޿ࠆ᭽ሶ߇⏕⹺ߢ߈ࠆ㧚߹ߚ㧘Case2 ߢߪ Case1 ߣᲧセߒߡ⸃௝ᐲ߇㜞޿ߚ߼㧘࿶ജᄌേߩࡇ࡯ࠢ߇㜞ૐ౒ߦߪߞ߈ࠅߣ⴫ࠇߡ޿ࠆ㧚࿑ 8 ߪ Case1 ߢߩ࿶ജᄌേಽᏓࠍ+x ᣇะ߆ࠄ⷗ߚ
࿑ߢ޽ࠅ㧘x ᐳᮡߏߣߦ␜ߒߡ޿ࠆ㧚⊒↢ߒߚ㛍㖸߇࿁ォߒߥ߇ࠄ৻ᣤߔ߷߼ࠄࠇ㧘ߘࠇࠍᛮߌ
ࠆߣඨᓘᣇะߦᄢ߈ߊᐢ߇ߞߡ޿ࠆ᭽ሶ߇⏕⹺ߢ߈ࠆ㧚࿑ 8 ߢߪࡈࠔࡦߪ෻ᤨ⸘࿁ࠅߦ࿁ォߒߡ޿ࠆ㧚࿶ജᄌേߩࡇ࡯ࠢߩᢙߪ㜞ૐ౒ߦ 24 ୘޽ࠅ㧘spinning mode ߩ౉ജࡕ࡯࠼ߢ޽ࠆ(24,1)ߦኻ
ᔕߒߡ޿ࠆߎߣ߇ಽ߆ࠆ㧚(a) Case1(a) x= -0.1(b) Case2࿑ᢿ㕙ߢߩ࿶ജᄌേಽᏓ
࿑ 7 z=0 ᢿ㕙ߢߩ࿶ജᄌേಽᏓ

(b) x= 0.9࿑࿑ 8 +x ᣇะ߆ࠄ⷗ߚ࿶ജᄌേಽᏓ(Case1)ᣇะ߆ࠄ⷗ߚ࿶ജᄌേಽᏓ(Case1)(c) x= 1.9

 ⴫ 2 ߦ FW-H ᴺߦ౉ജߔࠆ࿶ജᄌേߩࠨࡦࡊ࡝ࡦࠣᣇᴺࠍ␜ߔ㧚ߎߎߢ㧘Total number of cycleߪ FW-H ᴺߦ౉ജߣߒߡ↪޿ߚว⸘ߩ๟ᦼߩᢙߢ޽ࠆ߇㧘੹࿁ߩ⸃ᨆߢߪ LEE ߢߩ⸃ᨆߩ㓙ߦ 10๟ᦼಽࠍ಴ജߒ㧘ߘߩ࠺࡯࠲ࠍࠦࡇ࡯ߒߡ↪޿ߡ޿ࠆ㧚㆙ᣇߢߩ㖸࿶ᄌേࠍ᷹ቯߔࠆ૏⟎ߪ㧘࿑
5(a)ߦ⷗ࠄࠇࠆὐ(1.5,0,0)ࠍਛᔃߣߒߡඨᓘ 50 ߩ૏⟎ߦ޽ࠆὐߢ޽ࠆ㧚y=0㧘z=0 ߣߥࠆὐࠍ 0 degߣߒߡ㧘ඨᓘᣇะߦ 150 deg ߹ߢ᷹ቯߒߚ㧚


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234567 

⴫ 2 FW-H ᴺߦ౉ജߔࠆ࿶ജᄌേߩࠨࡦࡊ࡝ࡦࠣᣇᴺ
Tootal faces on
Time step per Total number of
FW--H surface
one cycle
cycle
Case1
512,000
29
Ca
ase1-2
2㩷
268,800
29
Ca
ase1-3
3㩷
139,400
29
70
Case2
684,800
58Ca
ase3㩷
288,000
21
Case4
385,20042
 ࿑ 9 ߦ Case1, 2, 3 ߅ࠃ߮ 4 ߩ⸃ߩᲧセࠍ␜ߔ㧚߹ߕೋ߼ߦ㧘Case1,3 ߩᲧセࠍⴕ߁㧚40 deg ࠃࠅᄢ߈޿ⷺᐲߢߩ⸃ߦߪߘࠇ߶ߤᏅߪ⷗ࠄࠇߥ޿߇㧘0 deg ߆ࠄ 30 deg ߢߩ SPL ߪ PPW ߩૐ޿ Case3ߩᣇ߇ᄢ߈ߊߥߞߡ޿ࠆ㧚ߎࠇߪ Case3 ߩ⸃௝ᐲ߇ૐ޿ߚ߼ߦ࠽࠮࡞ḧᦛㇱߢߩ෻኿߇㗼⪺ߦ⷗ࠄࠇ㧘ㅒߦ࠽࠮࡞಴ญߦ߅ߌࠆ࿁᛬ߪ޽߹ࠅ⷗ࠄࠇߥ޿ߚ߼ߢ޽ࠆߣ⠨߃ࠄࠇࠆ㧚90 deg ࠃࠅᄢ߈޿ⷺᐲߢߩ୯ߦ߽ Case3 ߩᣇߦᝄേ߇⷗ࠄࠇ㧘વ᠞ߔࠆ㖸ᵄࠍචಽߦ⸃௝ߢ߈ߡ޿ߥ޿ߎߣ߇
ࠊ߆ࠆ㧚ACTRAN/DGM ߣߩ⸃ᨆ⚿ᨐߣᲧセߔࠆߣ㧘40 deg ߆ࠄ 120 deg ߹ߢߩ୯ߪ Case1,3 ౒ߦ߶߷৻⥌ߒߡ޿ࠆ㧚0 deg ߆ࠄ 30 deg ߩ୯ߪ Case1 ߩ⚿ᨐߦㄭ޿୯ࠍ␜ߒߡ޿ࠆ㧚߹ߚ㧘120 degએ਄ߩ୯ߪ Case1,3 ࠃࠅ߽㜞޿୯ࠍ␜ߒߡ޿ࠆ㧚ߎߩ⚿ᨐࠍ⷗ࠆߣ㧘SPL ߇ᦨᄢߣߥࠆ 40 deg ߆ࠄ 70 deg ߹ߢߩᜰะᕈߪᧄ⸘▚ᚻᴺߢ㜞޿♖ᐲߢផቯߢ߈ࠆߎߣ߇ಽ߆ߞߚ㧚ߚߛߒ㧘SPL ߇ዊߐ޿ 0 deg ߆ࠄ 30 deg ૏⟎㧘120 deg એ਄ߩ૏⟎ߢߪ㧘ࠃࠅ㜞⸃௝ᐲߩᩰሶߢߩ⸃ᨆ߇ᔅⷐߦߥࠆ
ߣ⠨߃ࠄࠇࠆ㧚ᰴߦ㧘Case1,2,3,4 ో૕ߩᲧセࠍⴕ߁㧚Case1,3 ߪၮḰߣߥࠆ PPW ߇⚂ 12 ߩᩰሶ㧘Case3,4 ߪ⚂ 9ߩᩰሶߢ޽ࠆ㧚PPW ߇ዊߐ޿ Case3 ߩᩰሶࠍ⚦ಽൻߒߚ Case4 ߢߪ㧘0 deg ߆ࠄ 30 deg ૏⟎ߢߩ
SPL ߇ࠊߕ߆ߦዊߐߊߥߞߚ㧚ߎࠇߪ࠽࠮࡞๟ࠅߩߺᩰሶߩ⚦ಽൻߦࠃߞߡ⸃௝ᐲ߇਄߇ߞߚߚ
߼ߢ޽ࠆ㧚ߚߛߒ㧘⸃ో૕ߦ⷗ࠄࠇࠆᝄേߪ⚦ಽൻߦࠃߞߡ߽ᡷༀ߇⷗ࠄࠇߥ߆ߞߚ㧚ߎࠇߪ㧘
FW-H 㕙ߦ߅ߌࠆ PPW ߪ Case3 ߣ Case4 ߢᄌࠊࠄߥ޿ߚ߼ߢ޽ࠆ㧚Case1,2 ࠍᲧセߔࠆߣ㧘40 degࠃࠅᄢ߈޿ⷺᐲߩ SPL ߪ ACTRAN/DGM ߢߩ⸃ᨆ⚿ᨐߣࠃ޿৻⥌ࠍ␜ߒߡ޿ࠆ߇㧘0 deg ߆ࠄ 30
deg ߩ SPL ߪᩰሶ⚦ಽൻߦࠃࠆᡷༀߪ⷗ࠄࠇߥ߆ߞߚ㧚 ࿑ 10 ߦ Case1 ߣ Case1-2,1-3 ߩ⚿ᨐࠍᲧセߔࠆ㧚ߔߴߡߩ⚿ᨐߢᄢ߈ߥᏅߪ⷗ࠄࠇߥ޿߇㧘 120
deg ࠃࠅᄢ߈޿ⷺᐲ૏⟎ߢߪ Case1 ߣᲧセߒߡ㧘Case1-2,1-3 ߢߩ⸃ᨆߪࠃࠅ ACTRAN/DGM ߢߩ⸃ᨆ⚿ᨐߦㄭ޿୯ࠍ␜ߒߡ޿ࠆ㧚ߎߩℂ↱ߣߒߡ㧘Case1-2,1-3 ߢߩ⸃ᨆߢߪ FW-H 㕙⥄૕߇ዊߐߊߥࠆߚ߼ߦ㧘㆙ᣇ㖸႐ࠍផቯߔࠆ㓙ߩ᦭ല࠺࡯࠲₸߇㜞ߊߥࠆߚ߼ߢ޽ࠆ㧚ታ㓙ߦ㧘ࠃࠅᄙߊߩ FW-H 㕙࠺࡯࠲ࠍ↪޿ߡ⸃ᨆࠍⴕߞߚ⚿ᨐߢߪ㆙ᣇߢߩ⸃ᨆ⚿ᨐߪ Case1-3 ߩ⚿ᨐߦ෼᧤ߒߚ㧚






 SPL[dB]

130
120
110
100
90
80
70
60
50




ACTRAN/DGM
Case1
Case2
Case3
Case4

0

30

60
90
Angle[deg.]

120

150

࿑ 9 Case1,2,3 ߅ࠃ߮ 4 ߦ߅ߌࠆ㆙ᣇ႐ SPL ߩᲧセ

SPL[dB]

130
120
110
100
90
80
70
60
50

ACTRAN/DGM
Case1
Case1-2
Case1-3
0

30

60
90
Angle[deg.]

120

150

࿑ 10 Case1,1-2 ߅ࠃ߮ 1-3 ߦ߅ߌࠆ㆙ᣇ႐ SPL ߩᲧセ㧠㧚 ⚿⺰
 Building-Cube Method ߩࠕ࡞ࠧ࡝࠭ࡓߦၮߠߊ✢ᒻࠝࠗ࡜࡯ᣇ⒟ᑼࠦ࡯࠼ࠍ↪޿ߡ㧘⥶ⓨᯏࠛࡦࠫࡦࠍᮨߒߚゲኻ⒓࠽࠮࡞ᒻ⁁߆ࠄߩ㛍㖸વ᠞⸃ᨆࠍⴕ޿㧘⸘▚ᩰሶ߅ࠃ߮㆙ᣇ႐ផቯߦ߅ߌࠆ
౉ജ࠺࡯࠲ࠍᄌ߃ߚߣ߈ߩ㆙ᣇ႐ SPL ߩᲧセ㧘߅ࠃ߮㧘㕖᭴ㅧᩰሶᴺߦࠃࠆ⚿ᨐߣߩᲧセࠍⴕߞߚ㧚ߘߩ⚿ᨐࠍએਅߦ␜ߔ㧚 㕖᭴ㅧᩰሶᴺߢߩ⸃ᨆߣᲧセߔࠆߣ㧘ߔߴߡߩࠤ࡯ࠬߦ߅޿ߡ 0 deg ߆ࠄ 30 deg ߹ߢߩ SPL
߇ 20dB ߶ߤᄢ߈ߊߥߞߡ޿ࠆ㧚ߎࠇߪઁߩㇱಽࠃࠅ߽Ꮕ߇㗼⪺ߢ޽ࠆ㧚࠽࠮࡞๟ࠅߩ Cube ࠍ⚦ಽൻߒߚ႐วߦߪߎߩ▸࿐ߢ SPL ߪᷫዋߩ௑ะࠍ␜ߒߚߚ߼㧘㕖᭴ㅧᩰሶᴺߦ⷗ࠄࠇࠆࠃ߁ߦ㧘ߎߩઃㄭߦ߅ߌࠆ SPL ߪᧄ᧪㧘ࠃࠅዊߐߥ୯ࠍ␜ߔߣ⠨߃ࠄࠇࠆ㧚ߚߛߒ㧘0 deg ߆ࠄ 30 deg ߢߩ SPL ߪઁߩ૏⟎ߢߩ୯ߣᲧセߒߡዊߐ޿ߚ߼㧘ࠛࡦࠫࡦ߆ࠄ⊒↢ߔࠆ㛍㖸ࠍ⹏ଔߔࠆ㓙ߦߪߘࠇ߶ߤᄢ߈޿ᓇ㗀ߪߥ޿ߣ⠨߃ࠄࠇࠆ㧚 FW-H 㕙ߩ૏⟎ࠍ࠽࠮࡞ߦㄭߠߌߚ႐วߦߪ㧘120 deg એ਄ߩ૏⟎ߢߩ SPL ߦᄌൻ߇⷗ࠄࠇ㧘㕖
᭴ㅧᩰሶᴺߦࠃࠆ⚿ᨐߦㄭઃ޿ߚ㧚FW-H 㕙ߩ▸࿐߇ዊߐߊߥࠆߣ㧘ߘߩಽ࠺࡯࠲㊂߇ዊߐߊߥ
ࠆߚ߼㧘Case1-3 ߩ FW-H 㕙ߩ㈩⟎ߢ߽චಽߢ޽ࠆߣ޿߁ߎߣߪ᦭↪ߥ⚿ᨐߢ޽ࠆߣ⠨߃ࠄࠇࠆ㧚


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234567 ⻢ㄉᧄ⎇ⓥߪ᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ࠍ೑↪ߒߡⴕߞߚ㧚⎇ⓥߦ޽ߚߞߡߪห࠮ࡦ࠲࡯㑐ଥฦ૏ߦߏᜰዉߣߏදജࠍ޿ߚߛ޿ߚ㧚߹ߚ㧘LEE ࠦ࡯࠼ߩࡌࠢ࠻
࡞ൻߦߪ㧘NEC ࠪࠬ࠹ࡓ࠹ࠢࡁࡠࠫ࡯ ᦥᚒ 㓉 ᭽㧘ጊญ ஜᄥ ᭽ߩߏදജߣഥ⸒ࠍ޿ߚߛ
޿ߚ㧚ᧄ⎇ⓥߪ⑼⎇⾌(21226018)ߩ੤ઃࠍฃߌߚ߽ߩߢ޽ࠆ㧚ᧄ⎇ⓥߢ↪޿ߚ Generic Inlet ᒻ⁁ߩ࠺࡯࠲㧘㕖᭴ㅧᩰሶᴺߦࠃࠆ⸘▚࠺࡯࠲ߪ Fluid Dynamics and Acoustic Group, Institute of Sound andVibration Research, University of Southampton ߆ࠄឭଏߐࠇߚ㧚⸥ߒߡ⻢ᗧࠍ⴫ߔ㧚ෳ⠨ᢥ₂[1] ᕲ↰ඳࠄ, “Building-Cube ᴺࠍ↪޿ߚ JAXA ਥ⣉ࡕ࠺࡞ߩ⹦⚦ㇱຠߩᵹ૕⸃ᨆ,” ╙ 24 ࿁ᢙ୯ᵹ૕ജቇࠪࡦࡐࠫ࠙ࡓ⻠Ṷ⺰ᢥ㓸(USB), ᮮᵿ, 2010 ᐕ 12 ᦬.
[2] Huang, X., et al. “Efficient computation of spinning modal radiation through an engine bypass duct,”
AIAA Journal, Vol. 46, pp. 1413-1423, 2008.
[3] Nakahashi, K., Kim, L-S. “High-Density Mesh Flow Computations by Building-Cube Method,”Computational Fluid Dynamics 2004,edited by C. Groth and D.W.Zinggm,Springer, pp. 121-126 2006.
[4] Tam, C. K. W. “Recent advances in computational aeroacoustics,” Fluid dynamics research, Vol. 38, pp.
591-615, 2006.
[5] Berland, J. et al., “Low-dissipation and low-dispersion fourth-order Runge-Kutta algorithm,”Computers and Fluids, Vol. 35, pp. 1459-1463, 2006.
[6] Richards, S. K., et al. “The Evaluation of Non-Reflecting Boundary Conditions for Duct Acoustic
Computation,” Journal of Sound and Vibration, Vol. 270, pp. 539-557, 2004.
[7] ⷏᧛ᐽቁࠄ, “࿶❗ᕈ Building Cube Method ࠍ↪޿ߚ⠢๟ࠅߩ Euler ⸃ᨆ,” ╙ 43 ࿁ᵹ૕ജቇ⻠Ṷળ/⥶ⓨቝቮᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦᛛⴚࠪࡦࡐࠫ࠙ࡓ 2011, 2011 ᐕ 7 ᦬.
[8] Ishida, T. “Study of High-order/High-Resolution Method for Flow Simulation with Cartesian Grid
Method,” ᧲ർᄢቇ ඳ჻⺰ᢥ, 2011.
[9] ⑔ፉ⵨㚍ࠄ, “ࡉࡠ࠶ࠢ᭴ㅧဳ⋥੤ᩰሶߣ IB ᴺࠍ↪޿ߚ LEE ࠦ࡯࠼ߩ᭴▽,” ᣣᧄ⥶ⓨቝቮቇળ⺰ᢥ㓸, Vol. 60, pp.56-63, 2012.

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⿥㜞ㅦ╙৻ේℂ㔚ሶ⁁ᘒ⸘▚ࠦ࡯࠼ߩ㐿⊒ߣᔕ↪
ᩉỈ዁ 1,2, ↰ਯ㔐 2,ᧁ㦮ᩕᐕ 2, Ⓑ၂⠹ม 2, ᫪Ꮉ⦟ᔘ 2
1℄⃿ᄢቇℂቇㇱ, 2 ᄢ㒋ᄢቇᄢቇ㒮Ꮏቇ⎇ⓥ⑼✜⸒
⥄േゞឃࠟࠬᵺൻ⸅ᇦߢߪ‫⾆ߩ࡞࡯ࠤࠬࡁ࠽ޔ‬㊄ዻᓸ☸ሶࠍ㉄ൻ‛ߦᜂᜬߒߡ↪޿ࠆ‫ߒ߆ߒޕ‬ߥ߇ࠄ㜞᷷ߩឃࠟࠬߦᦑߐࠇࠆߚ߼ߦ‫ޔ‬ᓸ☸ሶ߇ᾲ⊛ំേࠍฃߌ‫ޔ‬ᓢ‫ߦޘ‬ዊߐߥᓸ☸ሶ߆ࠄᄢ߈
ߥ☸ሶ߳ߣᚑ㐳ߒ‫⸅ޔ‬ᇦ૞↪ࠍᜬߟ⴫㕙Ⓧߩૐਅߦࠃࠅ⸅ᇦᕈ⢻߇ഠൻߔࠆߎߣ߇ᄢ߈ߥ໧㗴ߢ޽ࠆ‫⾆ޕ‬㊄ዻᓸ☸ሶࠍࡍࡠࡉࠬࠞࠗ࠻㉄ൻ‛ߦᜂᜬߔࠆߎߣߦࠃߞߡߎߩᾲഠൻࠍ഍⊛ߦᛥ೙ߔࠆߎߣ߇น⢻ߢ޽ࠆߎߣ߇࠳ࠗࡂ࠷ࠣ࡞࡯ࡊߦࠃߞߡႎ๔ߐࠇߚ 1)‫ޕ‬ᚒ‫࠻ࠗࠞࠬࡉࡠࡍߦߢ߹ࠇߎߪޘ‬ᜂᜬ⾆㊄ዻ⸅ᇦߩ⥄Ꮖౣ↢ᯏ᭴ࠍ╙৻ේℂࠪࡒࡘ࡟࡯࡚ࠪࡦ
ߣᾲജቇ⸘▚ࠍ⚵ߺวࠊߖࠆߎߣߦࠃࠅ⸃᣿ࠍㅴ߼ߡ߈ߚ‫ޕ‬2-4)㧚ߐࠄߦ‫ޔ‬ᓧࠄࠇߚ⍮⷗ࠍరߦ‫ޔ‬ࠃࠅᦸ߹ߒ޿⥄Ꮖౣ↢૞↪ࠍᜬߟ⸅ᇦ‫⾆ߦ․ޔ‬㊄ዻᓸ☸ሶߩන૕ߢ޽ࠆࡍࡠࡉࠬࠞࠗ࠻㉄ൻ‛ߩត⚝߽ⴕߞߡ߈ߚ 5)‫ޕ‬੹ᓟߩᣂ⥝࿖ߦ߅ߌࠆ⥄േゞᏒ႐ߩ᜛ᄢ‫ޔ‬వㅴ࿖ߦ߅ߌࠆឃࠟࠬⷙ೙ߩᒝൻ╬ࠍ⠨߃ࠆߣ‫⾆ޔ‬㊄ዻߩ૶↪ࠍ഍⊛ߦᷫࠄߒߚࠃࠅ㜞ᕈ⢻ߥឃࠟࠬ⸅ᇦߩ㐿⊒߇ᦸ߹ࠇࠆ‫ޕ‬㜞ଔߥ⾆㊄ዻࠍ↪޿ߥ޿⸅ᇦߣߒߡ㌃㉄ൻ‛⸅ᇦ߇᦭ᦸߢ޽ࠆߎߣ߇ᜰ៰ߐࠇߡ޿ࠆ 6-8)‫⎇ᧄޔߢߎߘޕ‬ⓥߢߪ㌃ࠍ↪޿ߚ⥄Ꮖౣ↢ᯏ᭴ࠍᜬߟ⸅ᇦߩ㐿⊒ࠍ⋡ᜰߒߡ‫৻╙ޔ‬ේℂᾲജቇ⸘▚ߦࠃࠆ⎇ⓥࠍⴕߞߚ 9)‫ޕ‬Cu ♽ࠗࡦ࠹࡝ࠫࠚࡦ࠻⸅ᇦߩᣂߚߥน⢻ᕈࠍត⚝ߔࠆߚ߼ߦ‫ޔ‬㌃㉄ൻ‛ߣߒߡ቟ቯߥ‫ࡠࡍ࡯ࡗࠗ࡟ޔ‬ࡉࠬࠞࠗ࠻᭴ㅧࠍᜬߟ㉄ൻ‛ߩ቟ቯᕈߣ㉄ൻ࡮ㆶర⁁ᘒߩ⋧࿑ࠍ‫৻╙ޔ‬ේℂᾲജቇᴺࠍ↪޿ߡ૞ᚑߔࠆߎߣࠍ⹜ߺߚ‫⎇ᧄޔߢ߹ࠇߎޕ‬ⓥࠣ࡞࡯ࡊߢߪ᭽‫㉄࠻ࠗࠞࠬࡉࡠࡍߥޘ‬ൻ‛ߩᲣ૕‫ࠃ߅ޔ‬߮⾆㊄ዻߩᦧࠊࠅߣߥࠅ߁ࠆ㊄ዻ⸅ᇦߩត⚝ࠍⴕߞߚ߇‫ޔ‬ℂ⺰⸘▚ߦࠃࠆ⚿ᨐ߇ታ㛎ߣ㘩޿㆑޿ࠍ↢ߓࠆ߽ߩ߇޽ࠆ‫ ߫߃଀ޕ‬NOx ㆶర⢻ജ߽Ყセ⊛ᦼᓙߢ߈‫౉ޔ‬ᚻߒ߿ߔ޿ Cu ㊄ዻߦߟ޿ߡ‫ޔ‬᭽‫ߥޘ‬Უ૕ࡍࡠࡉࠬࠞࠗ࠻ਛ߳ߩ࿕ṁ-ᨆ಴⁁ᘒࠍ⸘▚ߒߚ⚿ᨐ‫⃻ޔ‬ታ⊛ߥ㉄⚛ಽ࿶ਅߦ߅޿ߡ
Cu ߪᲣ૕ࡍࡠࡉࠬࠞࠗ࠻ߢ޽ࠆ LaFeO䋳ਛߦ࿕ṁߒ߿ߔ޿⚿ᨐߣߥߞߚ‫ޔࠄ߇ߥߒ߆ߒޕ‬ታ㛎⊛ߦߪᨆ಴ߒߚᓟߦౣ࿕ṁߔࠆߩ߇࿎㔍ߢ޽ࠆߎߣ߇ႎ๔ߐࠇߡ޿ࠆ‫ߩߎޕ‬႐ว‫㉄ޔ‬ൻ㔓࿐᳇ߦ߅޿ߡߪ Cu ࠍ฽߻ࡍࡠࡉࠬࠞࠗ࠻ߢߪ቟ቯߦሽ࿷ߒ߿ߔ޿ La2CuO4 ╬‫ࠆߥ⇣ޔ‬᭴ㅧߩ㉄ൻ‛ࠍᒻᚑߒߡߒ߹߁ߚ߼ߛߣ⠨߃ࠄࠇࠆ‫ ߪߢ߹ࠇߎޔ߼ߚߩߘޕ‬ABO3 ဳࡍࡠࡉࠬࠞࠗ࠻Უ૕ߦߟ޿ߡ
⠨߃ࠄࠇߡ߈ߚ߇‫ޔ‬ᣂߚߦ A2BO4 ဳࡍࡠࡉࠬࠞࠗ࠻᭴ㅧࠍ߽ߞߚᣂⷙࠗࡦ࠹࡝ࠫࠚࡦ࠻⸅ᇦߩ㐿⊒ߩ᦭ലᕈ߇㜞޿ߣᕁࠊࠇࠆ‫৻╙ޔߢߎߘޕ‬ේℂ⸘▚ᚻᴺߦᾲജቇ⊛ߥലᨐࠍขࠅ౉ࠇߚ⸘▚ᯏࠪࡒࡘ࡟࡯࡚ࠪࡦࠍ↪޿ߡ‫ޔ‬A2BO4 ဳࡍࡠࡉࠬࠞࠗ࠻ࠍᲣ૕ߣߒߡ‫⾆ޔ‬㊄ዻߩઍᦧߣߒߡ Cu ㊄ዻࠍ↪޿ߚࠗࡦ࠹࡝ࠫࠚࡦ࠻⸅ᇦߦߟ޿ߡ⒳‫߮ࠃ߅▚⸘ߩޘ‬⠨ኤࠍ㐿ᆎߒߚ‫ޕ‬㌃ࠍ฽߻࡟ࠗࡗ࡯ࡍ
ࡠࡉࠬࠞࠗ࠻ߣߒߡઍ⴫⊛ߥ La2CuO4 ߦߟ޿ߡ⹦⚦ߥ⎇ⓥࠍⴕ޿‫ޔ‬㔚ሶࠬࡍࠢ࠻࡞ߦߟ޿ߡߪ
GGA ࠍ↪޿ࠆߣࡃࡦ࠼ࠡࡖ࠶ࡊࠍㆊዊ⹏ଔߔࠆ߽ߩߩ‫↢ߩߘޔ‬ᚑࠛࡀ࡞ࠡ࡯╬‫ޔ‬቟ቯᕈߦߟ޿ߡ
ߪ♖ᐲ⦟ߊౣ⃻ߢ߈ࠆߎߣ߇᣿ࠄ߆ߣߥߞߚ‫ޔߢߎߘޕ‬GGA ߦၮߠ޿ߡ᭽‫ࠬࡉࡠࡍ࡯ࡗࠗ࡟ߥޘ‬ࠞࠗ࠻᭴ㅧࠍᜬߟ㉄ൻ‛ࠍᲣ૕ߣߒߡ‫ޔ‬Cu ߩ࿕ṁᨆ಴ߦ㑐ߔࠆᝄࠆ⥰޿ࠍ╙৻ේℂᾲജቇᴺߦࠃ
ࠅ⸘▚ߒߚ‫ޕ‬⸘▚ᚻᴺ⸘ ▚ ߦ ߪ ᄢ 㒋 ᄢ ቇ ࠣ ࡞ ࡯ ࡊ ߢ 㐿 ⊒ ߒ ߡ ޿ ࠆ STATE-Senri (Simulation Tool for AtomTechnology) ࠍ ↪ ޿ ߚ ‫ ⎇ ᧄ ޕ‬ⓥ ߢ ㅀ ߴ ࠆ ో ߡ ߩ ⸘ ▚ ߪ ╙ ৻ ේ ℂ ⸘ ▚ ࡄ ࠶ ࠤ ࡯ ࠫ 䇸 STATE(Simulation Tool for Atom TEchnology)䇹ࠍ↪޿ߡⴕߞߚ‫᧲ߪ࠼࡯ࠦߩߎޕ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛ
ࡦࠬ࠮ࡦ࠲࡯ߣߩ౒ห⎇ⓥߦࠃࠅ NEC SX-9 ਄ߢߩ࠴ࡘ࡯࠾ࡦࠣࠍⴕ޿‫ࠅߥ߆ޔ‬ല₸⊛ߦਗ೉⸘▚߇ⴕࠊࠇࠆ᭽ߦߥߞߡ߈ߡ޿ࠆ‫ޕ‬ኒᐲ᳢㑐ᢙℂ⺰(DFT) ߦၮߠ߈‫ޔ‬GGA ߢ੤឵⋧㑐ࠛࡀ࡞ࠡ࡯ࠍㄭૃߒߚ‫ߚ߹ޕ‬ේሶᩭઃㄭߩౝᩭㇱಽߩࡐ࠹ࡦࠪࡖ࡞ߪ޽ࠆࠞ࠶࠻ࠝࡈඨᓘࠃࠅᄖ஥߇ᱜߒ
ߊౣ⃻ߐࠇࠆ࠙࡞࠻࡜࠰ࡈ࠻ᡆࡐ࠹ࡦࠪࡖ࡞ࠍ↪޿‫ޔ‬ᵄേ㑐ᢙߪᐔ㕙ᵄၮᐩ↪޿ߡዷ㐿ߐࠇࠆ‫ޕ‬ᐔ㕙ᵄߩࠞ࠶࠻ࠝࡈߪ 25Ry‫ޔ‬㔚ሶኒᐲߩࠞ࠶࠻ࠝࡈߪ‛⾰ߦᔕߓߡ 225Ry,400Ry ࠍ↪޿ߡ޿ࠆ‫ޕ‬ฦ‫ޔ޿↪ࠍ࡞࠺ࡕߩࠢ࡞ࡃߪߦ▚⸘ߩ⾰‛ߩޘ‬ᩰሶቯᢙ‫ޔ‬᭴ㅧ‫ޔ‬ේሶ㈩೉‫⏛ޔ‬ᕈߩᖱႎߪ࿁᛬ታ  
㛎╬߆ࠄᓧࠄࠇߚታ㛎୯ࠍ⺰ᢥ߆ࠄෳᾖߒߚ‫⚛㉄ߚ߹ޕ‬ಽሶߪൻቇࡐ࠹ࡦࠪࡖ࡞ߩၮḰ߇ว߁ࠃ߁ߦቅ┙ಽሶߢ⸘▚ߒߚ‫ޕ‬A2BO4 ဳࡍࡠࡉࠬࠞࠗ࠻ߩ B ࠨࠗ࠻ߦ⾆㊄ዻ߇࿕ṁߔࠆ႐วߪ‫࠾࡙ޔ‬࠶࠻࠮࡞ਛߩ B ࠨࠗ࠻ߩේሶߩ৻ߟࠍ⾆㊄ዻߦ⟎឵ߔࠆߎߣߦࠃߞߡౣ⃻ߒߡ޿ࠆ‫⾆ߚ߹ޕ‬㊄ዻࠍ⟎឵ߒߡ߽ᩰሶቯᢙߪరߩᲣ૕‛⾰ߩታ㛎୯ߢ⛔৻ߒ⵬ᱜߪⴕࠊߥ߆ߞߚ‫ޕ‬୘‫ߩޘ‬ㆫ⒖㊄ዻ㉄ൻ‛ߩ᭴ㅧᦨㆡൻ⸘▚ߪ NEC-SX9 ߩ㧝ࡁ࡯࠼ࠍ↪޿ߡᢙᣣ⒟ᐲߢ⚳ੌߔࠆ߇‫ޔ‬Უ૕ߩㆫ⒖㊄ዻ
㉄ൻ‛ࠍ ABO3 ဳߣ A2BO4 ဳߩⶄᢙ⠨ᘦߒߚߚ߼ᢙචㅢࠅߩ⸘▚ࠍታⴕߔࠆᔅⷐ߇޽ࠆ‫ޕ‬㧚⚿ᨐߣ⠨ኤ
La2CuO4, La2NiO4, La2CoO4, Sr2MnO4, Sr2TiO4, Sr2VO4 Sr2CrO4, Ca2MnO4ߩฦ࡟ࠗࡗ࡯ࡍࡠ
ࡉࠬࠞࠗ࠻ࠍᲣ૕ߣߒߡ‫㉄ߩࠄࠇߎޔ‬ൻ‛ਛ߳ߩ㌃ේሶߩ࿕ṁᨆ಴⁁ᘒࠍ⎇ⓥߒߚ‫ޕ‬ታ㛎⚿ᨐࠍ࿑㧝ߦ␜ߔ‫ޕ‬ߎߩ࿑ߢߪ, ᮮゲߪ㉄⚛ߩൻቇࡐ࠹ࡦࠪࡖ
࡞, ❑ゲߪ, ㊄ዻ㌃ࠍၮḰߣߒߡ, ㌃߇㉄ൻ‛ਛߦ࿕ṁߒߚߣ߈ߩ⋧ኻ⊛ߥࠛࡀ࡞ࠡ࡯
ࠍ␜ߒߡ޿ࠆ. ߎߩ࿑߆ࠄࠊ߆ࠆࠃ߁ߦ
La2CuO4, ߅ࠃ߮, La2CoO4ࠍᲣ૕ߣߔࠆߣ,Cu㊄ዻ߇ᨆ಴ߔࠆߩߪ߆ߥࠅૐ޿㉄⚛ߩൻቇࡐ࠹ࡦࠪࡖ࡞㔓࿐᳇ਅߢ޽ࠅ, ㅢᏱߩ㔓࿐᳇ߢߪㆶరߒߦߊ޿ߎߣࠍ␜ߒߡ޿ࠆ‫৻ޕ‬ᣇ‫ޔ‬Sr2MnO4, ߅ࠃ߮, Ca2MnO4ࠍᲣ૕ߣߔ
ࠆߣ‫ޔ‬ㅒߦ㉄ൻ‛ਛߦ࿕ṁߔࠆߎߣ߇㔍ߒ޿ߎߣ߇ࠊ߆ࠆ‫ޕ‬La2NiO4, Sr2VO4, Sr2CrO4,
߅ࠃ߮, Sr2TiO4 ࠍᲣ૕㉄ൻ‛ߣߔࠆߣ‫ߘޔ‬ߩਛ㑆⊛ߥ⁁ᴫߢ࿕ṁ-ᨆ಴ࠍ➅ࠅ㄰ߔߣ⠨߃ࠄࠇ‫⸅࠻ࡦࠚࠫ࡝࠹ࡦࠗޔ‬ᇦߣߒߡߪ᦭ᦸ
࿑㧝. ࡟ࠗࡗ࡯ࡍࡠࡉࠬࠞࠗ࠻ဳ㉄ൻ‛ߢ޽ࠆ‫⚿ߩࠄࠇߎޕ‬ᨐߪ⺰ᢥߦ߹ߣ߼ߡᛩⓂਛ
߳ߩ㌃ේሶߩ࿕ṁᨆ಴⁁ᘒߩ቟ቯᕈᲧ
9)ߢ޽ࠆ ‫ޕ‬
セ‫ޕ‬


㧚⚿⺰


╙৻ේℂ⸘▚ᚻᴺߦᾲജቇ⊛ߥലᨐࠍขࠅ౉ࠇߚ⸘▚ᯏࠪࡒࡘ࡟࡯࡚ࠪࡦࠍ↪޿ߡ‫ޔ‬A2BO4 ဳࡍࡠࡉࠬࠞࠗ࠻ࠍᲣ૕ߣߒߡ‫⾆ޔ‬㊄ዻߩઍᦧߣߒߡ Cu ㊄ዻࠍ↪޿ߚࠗࡦ࠹࡝ࠫࠚࡦ࠻⸅ᇦߦߟ
޿ߡ⒳‫߮ࠃ߅▚⸘ߩޘ‬⠨ኤࠍⴕߞߚ‫ޕ‬㌃ࠍ฽߻࡟ࠗࡗ࡯ࡍࡠࡉࠬࠞࠗ࠻ߣߒߡઍ⴫⊛ߥ La2CuO4
ߦߟ޿ߡ⹦⚦ߥ⎇ⓥࠍⴕ޿‫ ޔ‬La2NiO4, Sr2VO4, Sr2CrO4, ߅ࠃ߮, Sr2TiO4 ࠍᲣ૕㉄ൻ‛ߣߔࠆߣ‫ߩߘޔ‬ਛ㑆⊛ߥ⁁ᴫߢ࿕ṁ-ᨆ಴ࠍ➅ࠅ㄰ߔ᦭ᦸߥ⸅ᇦߣߥࠅᓧࠆߎߣࠍ⷗޿ߛߒߚ‫ޕ‬ᢥ₂1) Y. Nishihata, J. Mizuki, T. Akao, H. Tanaka, M. Uenishi, M. Kimura, T. Okamoto, and N.
Hamada, “Self-regeneration of a Pd-perovskite catalyst for automotive emissions control”,
Nature, 418, 164 (2002).
2) Hamada, A. Uozumi, Y. Morikawa, A. Yanase, and H. Katayama-Yoshida, “A
Density-Functional Theory Study of Self-regenerating Catalyst LaFe1-xMxO3-y (M=Pd, Rh, andPt)”, J. Am. Chem. Soc., 133, 18506-18509 (2011).
3) Z.-X. Tian, K. Inagaki, and Y. Morikawa, “Density functional theory on the comparison of
the Pd segregation behavior at LaO- and FeO2-terminated surfaces of LaFe1-xPdxO3-y”,
Current Appl. Phys., 12, S105-S109 (2012).
4) Z.-X. Tian, A. Uozumi, I. Hamada, S. Yanagisawa, H. Kizaki, K. Inagaki, and Y. Morikawa,“First-principles investigation on the segregation of Pd at LaFe1-xPdxO3-y surfaces”, Nanoscale
Research Letters, 8, 203 (2013).

 




!"#$%&'()*+ 5) S. Yanagisawa, A. Uozumi, I. Hamada, and Y. Morikawa, “Search for a Self-Regenerating
Perovskite Catalyst Using ab initio Thermodynamics Calculations”, J. Phys. Chem. C, 117,
1278 (2013).
6) N. Mizuno, Y. Fujiwara, and M. Misono, “Pronounced synergetic effect in the catalytic
properties of LaMn1-xCuxO3”, J. Chem. Soc., Chem. Comm., pp. 316-318 (1989).
7) R.D. Zhang, and A. Villanueva, and H. Alamdari, and S. Kaliaguine, “Cu- andPd-substituted nanoscale Fe-based perovskites for selective catalytic reduction of NO bypropene”, J. Catal., 237, 368 (2006).
8) J. Liu, Z. Zhao, C. Xu, A. Duan and G. Jiang, “The Structures, Adsorption Characteristics of
La-Rb-Cu-O Perovskite-like Complex Oxides, and Their Catalytic Performances for the
Simultaneous Removal of Nitrogen Oxides and Diesel Soot”, J. Phys. Chem. C, 112, 5930
(2008).
9) S. Yanagisawa, A. Takeda, K. Inagaki, I. Hamada, and Y. Morikawa, “Search for aself-regenerating perovskite catalyst with ab initio thermodynamics II: Cu-doped perovskites
with K2NiF4 structure”, submitted.

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 ౦๺େֶαΠόʔαΠΤϯεηϯλʔʹ͓͚Δ෼ࢠಈྗֶγϛϡϨʔγϣϯίʔυͷߴ଎Խࢧԉʹ͍ͭͯ৿୩ ༑ӫ, ࠤʑ໦ େี̈, ࢁԼ ‫̈ؽ‬, খ໺ හ̈, େઘ ݈࣏̈, খদ Ұ඙̉, ߐ઒ ོี̉, খྛ ޿໌̉̈౦๺େֶɹ৘ใ෦ɹ৘ใ‫ج‬൫՝̉౦๺େֶαΠόʔαΠΤϯεηϯλʔɹεʔύʔίϯϐϡʔςΟϯά‫ڀݚ‬෦t-moriya@isc.tohoku.ac.jp֓ཁɿ౦๺େֶαΠόʔαΠΤϯεηϯλʔ (ҎԼɼຊηϯλʔ) ͸ɼશࠃ‫ڞ‬ಉར༻ઃඋͱͯ͠ͷେ‫ن‬໛Պֶ‫ࢉܭ‬γεςϜΛ࠷େ‫͢༻׆ʹݶ‬ΔͨΊʹɼ‫ࢉܭ‬Պֶऀͱຊηϯλʔͷ‫ػࢉܭ‬Պֶऀ͕࿈‫͕ͳ͠ܞ‬ΒɼϓϩάϥϜͷߴ଎Խٕ๏ͷ‫ڀݚ‬ɾ։ൃʹऔΓ૊ΜͰ͍ΔɽຊߘͰ͸ɼ෼ࢠಈྗֶγ
ϛϡϨʔγϣϯͷߴ౓ԽΛྫͱͯ͠ɼຊηϯλʔͷߴ଎ԽࢧԉͷऔΓ૊Έʹ͍ͭͯ֓આ͢Δɽ

1. ͸͡Ίʹ౦๺େֶαΠόʔαΠΤϯεηϯλʔ (ҎԼɼຊηϯλʔ) ͸ɼશࠃ‫ڞ‬ಉར༻ઃඋͱͯ͠ͷେ‫ن‬໛Պֶ‫ࢉܭ‬γεςϜͷ؅ཧɾӡ༻ͱɼຊγεςϜΛ
࠷େ‫༻׆ʹݶ‬ՄೳͳϓϩάϥϜͷߴ଎Խٕ๏΍৽͍͠γϛϡϨʔγϣϯٕज़ͷ‫ڀݚ‬ɾ։ൃʹऔΓ૊ΜͰ͍Δɽ1997 ೥͔Βߦ͍ͬͯΔ‫ࢉܭ‬Պֶ෼໺ͷར༻ऀͱͷ‫ڞ‬ಉ‫ڀݚ‬Λ௨ͯ͡ɼ͞·͟·ͳ෼໺ʹ͓͚Δ࣮ΞϓϦέʔγϣϯͷ࠷దԽ΍ฒྻԽͷߴ଎ԽࢧԉΛߦ͍ͬͯΔɽ·ͨɼηϯλʔಠࣗͷ‫ڞ‬ಉ‫ʹڀݚ‬Ճ͑ɼશࠃͷ৘ใ‫ج‬൫ηϯλʔ౳ͱ࿈‫ܞ‬ͯ͠ɼֶࡍେ‫ن‬໛৘ใ‫ج‬൫‫ڞ‬ಉར༻ɾ‫ڞ‬ಉ‫ڌڀݚ‬఺ (JHPCN) ΍ֵ৽తϋΠύϑΥʔϚϯεɾίϯϐϡʔςΟϯάɾΠϯϑϥ (HPCI) Λߏ੒͠ɼ‫ڞ‬ಉ‫ڀݚ‬Λ࣮ࢪ͍ͯ͠ΔɽҎ্ͷΑ͏ʹຊηϯλʔͰ͸ɼར༻ऀͰ͋Δ‫ࢉܭ‬Պֶऀͱຊηϯλʔͷ‫ܭ‬ࢉ‫ػ‬Պֶͷઐ໳Ո͕ີʹ࿈‫͕ͳ͠ܞ‬ΒɼՊֶɾ޻
ֶͷ߃ৗతͳਐาΛࢧ͑Δ‫ڞ‬ಉ‫ڀݚ‬ɼར༻ऀϓϩάϥϜͷߴ଎Խࢧԉ‫׆‬ಈΛਪਐ͍ͯ͠Δɽ
ɹຊߘͰ͸ɼ͜ΕΒͷऔΓ૊ΈͷதͰ΋ಛʹɼ࢈‫ٕۀ‬ज़૯߹‫ͱॴڀݚ‬ຊηϯλʔͱͷ‫ڞ‬ಉ‫͠ͱڀݚ‬2. େ‫ن‬໛Պֶ‫ࢉܭ‬γεςϜຊηϯλʔͰ͸ɼେ‫ن‬໛ͳ‫ػࢉܭ‬Λඞཁͱ͢Δ
શࠃͷར༻ऀͷ෯޿͍χʔζʹԠ͑ΒΕΔγες
Ϝӡ༻Λ໨తʹɼϕΫτϧ‫ܕ‬εʔύʔίϯϐϡʔλ SX-9 Λఏ‫͍ͯ͠ڙ‬ΔɽSX-9 ͸ɼશ 18 ϊʔυͰγεςϜΛߏ੒͠ɼ1 ϊʔυ͋ͨΓ 1TB ͷ‫ڞ‬༗ϝϞϦͱ 16 ‫ݸ‬ͷϕΫτϧϓϩηοαΛ༗͠ɼ1 ϓϩηοαʢγϯάϧίΞʣ͋ͨΓ͸ 102.4Gﬂop/sͷཧ࿦ԋࢉੑೳͱ 256GB/s ͷߴ͍ϝϞϦόϯυ
෯Λ࣋ͭɽಛʹɼϕΫτϧϓϩηοαʹΑΔߴ଎
ͳϕΫτϧॲཧೳྗ΍ɼߴ͍ϝϞϦόϯυ෯Λඞཁͱ͢Δྲྀମղੳɼ‫ؾ‬৅ղੳ‫࣓ిͼٴ‬քղੳͷ෼໺ʹΑ͘ར༻͞Ε͍ͯΔɽ
ɹϕΫτϧϓϩηοα͸ෳ਺ͷσʔλΛҰ‫ׅͯ͠‬ԋࢉΛߦ͏ϕΫτϧԋࢉ͕ՄೳͰ͋Γɼ഑ྻͷͦΕͧΕͷཁૉʹԋࢉΛߦ͏Α͏ͳ‫ʹࢉܭ‬ద͍ͯ͠Δɽ͜ͷϕΫτϧϓϩηοαͷੑೳΛҾ͖ग़ͨ͢Ίʹ͸ɼϓϩάϥϜதͷϕΫτϧॲཧՄೳͳ෦෼
Λࣔ͢ϕΫτϧԽ཰ΛͰ͖Δ͚ͩ૿΍͢ඞཁ͕͋
Δɽਤ 1 ʹϓϩάϥϜΛεΧϥॲཧ͢Δ৔߹ͱϕΫτϧॲཧ͢Δ৔߹ͷ࣮ߦ࣌ؒΛࣔ͢ɽͯऔΓ૊Μͩʮ෼ࢠಈྗֶγϛϡϨʔγϣϯͷߴ౓Խʯʹ͍ͭͯ঺հ͢Δɽຊߘͷߏ੒͸ҎԼͷ௨ΓͰ͋Δɽ2 અͰ͸ɼେ‫ن‬໛Պֶ‫ࢉܭ‬γεςϜ͍ͭͯ֓આ͢Δɽ3 અͰ͸ɼຊ‫ڞ‬ಉ‫Ͱڀݚ‬ର৅ͱ͢Δ෼ࢠಈྗֶγϛϡϨʔγϣϯͱɼͦͷίʔυͷ࠷దԽʹ͍ͭͯड़΂Δɽ4 અͰຊߘΛ·ͱΊΔɽT1䠄ࢫ࢝ࣛฎ⌮࡛ᐇ⾜ࡋࡓ᫬ࡢ⥲ᐇ⾜᫬㛫㸧
T1V 䠄T1ࡢ࠺ࡕ࣋ࢡࢺࣝฎ⌮࡛ᐇ⾜ྍ⬟࡞᫬㛫㸧
ࢫ࢝ࣛฎ⌮
ࡍࡿሙྜ

࣋ࢡࢺࣝฎ⌮
୙ྍ㒊ศ࣋ࢡࢺࣝฎ⌮ ࣋ࢡࢺࣝฎ⌮
୙ྍ㒊ศ
ࡍࡿሙྜ

࣋ࢡࢺࣝฎ⌮ྍ⬟㒊ศ㸦DO࣮ࣝࣉ㒊ศ㸧࣋ࢡࢺࣝฎ⌮

T2䠄࣋ࢡࢺࣝฎ⌮ྍ⬟㒊ศࢆ࣋ࢡࢺࣝฎ⌮࡛ᐇ⾜ࡋࡓ᫬ࡢ⥲ᐇ⾜᫬㛫㸧ਤ 1 ϕΫτϧॲཧʹΑΔ࣮ߦ࣌ؒ୹ॖ 

 
εΧϥॲཧ͢Δ৔߹ͷ૯࣮ߦ࣌ؒΛ T1 ɼͦͷϓϩάϥϜͰϕΫτϧॲཧ͕Մೳͳ෦෼ͷ࣮ߦ࣌ؒΛ T1V ͱ͢ΔͱɼϕΫτϧԽ཰Ћ͸ҎԼͷࣜͰఆͯ͠ಉ࣌ʹΞΫηε͕ൃੜ͢Δ͜ͱ͕͋Δɽ͜ΕΛόϯΫίϯϑϦΫτͱ‫Ϳݺ‬ɽSX-9 ʹ͓͚ΔόϯΫίϯϑϦΫτ͸ɼCPU ϙʔτ‫ͱ߹ڝ‬ϝϞϦωοٛ͞ΕΔɽτϫʔΫ‫߹ڝ‬ͷ 2 ͭʹ෼ྨ͞ΕɼCPU ϙʔτ‫߹ڝ‬͸ CPU ಺ʹ͓͚ΔಉҰͷϙʔτʹϩʔυɾετΞ͕ूதͨ࣌͠ʹൃੜ͢ΔɽϝϞϦωοτϫʔΫ‫߹ڝ‬͸ಉҰͷϝϞϦόϯΫ΁ͷΞΫηεͰൃੜ͢Δ‫߹ڝ‬΍ɼCPU ͱओ‫ه‬Ա૷ஔؒͷ‫ܦ‬࿏্Ͱൃੜ͢

α

ɹɹ

T1V

=

/ T1

·ͨɼͦͷϓϩάϥϜΛϕΫτϧॲཧ͢Δ৔߹ͷੑೳ޲্ൺ P ͸ɼεΧϥॲཧੑೳͱϕΫτϧॲཧੑೳͷൺΛЌͱ͢ΔͱҎԼͷࣜͰఆٛ͞ΕΔɽ
ɹ

P

= 1

/

( (1 − α) + α / β)ɹ͜ͷ͔ࣜΒɼਤ 2 ʹࣔ͢ϕΫτϧԽ཰ͱੑೳ޲
্ൺͷؔ܎͕ಋ͔ΕΔɽϕΫτϧԽ཰͕ 8 0 ˋҎԼͰ͸େ͖ͳੑೳ޲্͸‫ݟ‬ΒΕͣɼϕΫτϧԽ཰͕ 90 ˋΛ௒͑Δͱ‫ٸ‬଎ʹੑೳ͕޲্͢ΔɽͦͷͨΊɼϕΫτϧ‫ܕ‬εʔύʔίϯϐϡʔλͰߴ͍࣮ߦ
ੑೳΛಘΔͨΊʹ͸ɼϕΫτϧԽ཰Λ 100 ˋʹͰ͖Δ‫ݶ‬Γۙ෇͚Δඞཁ͕͋Δɽ

βΔɽόϯΫίϯϑϦΫτ͕ൃੜ͢Δͱσʔλ‫څڙ‬ೳྗ͕௿Լ͠ɼߴ଎Խͷ๦͛ͷཁҼʹͳΔɽ͜ΕΛճආ͢ΔͨΊʹ͸ɼϝϞϦΞΫηεͷִ͕ؒ 2ͷ΂͖৐ʹͳΔͷΛආ͚Δ͜ͱ΍ɼϧʔϓͷΞϯϩʔϧΛߦ͏ͳͲͯ͠ϝϞϦΞΫηεճ਺ࣗମΛ‫ݮ‬Β͠ɼόϯΫίϯϑϦΫτΛ཈੍͢Δ͜ͱ͕ඞ
ཁͱͳΔ [1]ɽ

3. ෼ࢠಈྗֶγϛϡϨʔγϣϯͷ࠷దԽຊηϯλʔͰ͸ɼਤ 3 ͷΑ͏ʹηϯλʔ‫ڭ‬һɾٕज़৬һɾ‫ػࢉܭ‬ϕϯμͷٕज़ऀ͕ີʹ࿈‫͠ܞ‬ɼར༻ऀΛࢧԉ͍ͯ͠ΔɽຊߘͰ͸ɼ‫ڞ‬ಉ‫ࢀʹڀݚ‬ը͢Δ࢈‫ٕۀ‬ज़૯߹‫ॴڀݚ‬ɼ‫ػࢉܭ‬ϕϯμɼαΠόʔαΠΤϯεηϯλʔͷࡾ‫Ͱؔػ‬࿈‫ߴͯ͠ܞ‬଎ԽʹऔΓ૊ΜͰ͍ΔɼୈҰ‫ݪ‬ཧ‫ࢉܭ‬Λ༻͍ͨ 3 ͭͷ෼ࢠಈྗֶγϛϡϨʔγϣϯʢFPSEIDɼFEMTECKɼQMASʣʹ͓͚Δ SX-9 Λର৅ͱͨ͠࠷దԽʹ͍ͭͯड़΂Δɽ

ᛶ⬟ྥୖẚ

これまでの運用実績，

問題の分析，それに基づく研究成果に基づくプログラム

Pの開発・最適化

利用者

技術，知識の提供

適切な計算モデルの提示，解決に向けた
新技術の研究開発

現システム利用上の問題分析

技術職員

教員
最適利用技術の研究・開発

50㸣

0

100㸣

࣋ࢡࢺࣝ໬⋡ αਤ 2ϕΫτϧԽ཰ͱੑೳ޲্ൺ

運用で得た知見
現システムのベンダの技術者

を基に次世代最適化高効率利用に

スーパーコンピュータ

関する技術情報の共有システムの共同研究開発

ਤ 3 ߴ଎Խࢧԉମ੍·ͨɼେ‫ن‬໛ͳσʔλΛϕΫτϧԋࢉ‫཰ޮͰث‬తʹॲཧ͢ΔͨΊʹ͸ɼϝϞϦ͔Βԋࢉ‫΁ث‬ͷσʔλ‫څڙ‬Λߦ͏ඞཁ͕͋ΔɽSX-9 ͸ΠϯλʔϦʔϒߏ੒ͷϝϞϦΛ࣋ͪɼෳ਺ͷϝϞϦόϯΫʹฒྻʹҰൠతʹɼ࠷దԽΛߦ͏ͨΊʹ͸ɼ·ͣϓϩάϥϜͷಛੑΛ೺Ѳ͢Δඞཁ͕͋ΔɽSX-9 ͕ඪ४Ͱඋ͑Δ؆қੑೳղੳπʔϧΛ༻͍ͯɼϓϩάϥϜ

ಡΈॻ͖Λߦ͍ߴ଎ͳσʔλసૹΛ࣮‫͢ݱ‬ΔɽϝϞϦόϯΫ͸ 32,768 ‫ʹݸ‬෼ׂ͞Εɼෳ਺ͷϝϞϦόϯΫʹ·͕ͨͬͯ࿈ଓΞΫηε͢Δ৔߹͕࠷΋ޮ཰తͰߴ଎ͳσʔλసૹͱͳΔɽ‫ʹٯ‬ෆ࿈ଓͰσʔλΞΫηεͨ͠৔߹ɼಉҰϝϞϦόϯΫʹରͷղੳ݁ՌΛऔಘ͠ͲͷΑ͏ͳ࠷దԽ͕༗ޮ͔Λ‫ݕ‬౼͠ɼ࠷దԽΛࢪ͢ɽҎԼʹɼຊใࠂͰର৅ͱ
͢Δ෼ࢠಈྗֶγϛϡϨʔγϣϯʹ͍ͭͯɼͦΕͧΕίʔυͷ֓ཁɼղੳ݁Ռɼ࠷దԽͱͦͷޮՌ
Λड़΂Δɽ


 


 #$%&'
!"()*+,-./,0 12345678$9:;
3.1 FPSEID (First-Principles Simulation toolfor Electron-Ion Dynamics)
3.1.1 FPSEID ͷ֓ཁ+------> do ig=1,nxyz|
jg=i2g(ig)|rhog(jg)=rhog(jg)*fdump(ig)+------ enddo

FPSEID ͸ɼ࣌ؒґଘີ౓൚ؔ਺ཧ࿦ʹ‫͍ͮج‬ͯɼిࢠྭ‫͕ى‬Ҿ͖‫͢͜ى‬෺࣭தͷա౉తͳμΠφϛΫεΛ਺ඦϑΣϜτඵͷ࣌ؒεέʔϧͰ‫ࢉܭ‬
͢Δ͜ͱΛ໨తʹ࡞੒͞ΕͨϓϩάϥϜͰ͋Γɼ࣌ؒґଘγϡϨσΟϯΨʔํఔࣜΛ਺஋‫͢ࢉܭ‬Δ
ࡍʹɼߴਫ਼౓ͳۙࣅެࣜ (ླ໦-Trotter ެࣜ) Λར༻͠௨৴ස౓Λ‫ݮ‬Βͨ͠ฒྻ‫ࢉܭ‬Λ࣮‫͍ͯ͠ݱ‬Δɽ͜Ε·Ͱͷ੒Ռͱͯ͠͸ɼޫྭ‫ى‬Խֶ൓Ԡɼߴ‫౓ڧ‬ϨʔβʔޫʹΑΔ෺࣭ߏ଄มԽɼߴ଎ΠΦϯͱ෺࣭ͷিಥʹ෇ਵ͢Δॾ‫ݱ‬৅ͷγϛϡϨʔγϣϯΛߦ͓ͬͯΓɼϑΣϜτඵϨʔβʔ΍ϔϦ΢ϜΠΦ
ϯ‫ݦ‬ඍ‫Ͳͳڸ‬Λ༻͍ͨઌਐతͳ࣮‫ٕݧ‬ज़ʹΑΔ‫ݚ‬ਤ 4ΦϦδφϧίʔυ

icnt=1
V------> do ig=1,nxyz|rhog_tmp(icnt)=rhog(i2g(ig))|
fdump_tmp(icnt)=fdump(ig)|icnt=icnt+1
V------ enddo
V------> do ig=1,nxyz|rhog_tmp(IG)=rhog_tmp(IG)*fdump_tmp(IG)V------ enddo
icnt=1
V------> do ig=1,nxyz|rhog(i2g(IG))=rhog_tmp(icnt)|
icnt=icnt+1
V------ enddo‫ڀ‬ͷਪਐʹߩ‫͢ݙ‬Δ͜ͱ͕‫ظ‬଴͞Ε͍ͯΔ [2] [3]

ਤ 5

[4]ɽ

ϕΫτϧ࠷దԽίʔυ

3.1.3 όϯΫίϯϑϦΫτͷ࡟‫ݮ‬αϒϧʔνϯ 2 ʹ͓͚Δղੳ݁ՌΛද 2 ʹࣔ͢ɽ

3.1.2 ϕΫτϧԽ཰ͷ޲্͸͡ΊʹϓϩάϥϜͷղੳΛߦ͍ɼ࣮ߦ࣌ؒͷ௕͍αϒϧʔνϯͷબఆΛߦͬͨɽࠓճର৅ͱ͠
ͨͷ͸ 3 ‫ݸ‬ͷαϒϧʔνϯͰɼͦΕͧΕαϒϧʔνϯ 1ɼ2ɼ3 ͱ͢Δɽ֤αϒϧʔνϯͷৄࡉͳղੳʹऔΓ૊Έɼͦͷ‫ޙ‬ɼ֤αϒϧʔνϯͷߴ଎ԽʹऔΓ૊Ήɽ
ɹαϒϧʔνϯ 1 ʹ͓͚Δղੳ݁ՌΛද 1 ʹࣔ͢ɽ͜ΕΛ‫ݟ‬ΔͱϕΫτϧԽ཰͕ 49.66 ˋͱͳ͓ͬͯ
ΓɼϕΫτϧϓϩηοα΁ͷҠ২ʹࡍͯ͠ੑೳ޲
্ͷՄೳੑ͕͋Δ͜ͱ͕෼͔Δɽ·ͨɼਤ 4 ʹࣔ͢ϧʔϓΛ‫ݟ‬Δͱɼσʔλͷ֨ೲҐஔΛอ࣋͢Δ
i2g ഑ྻΛΠϯσοΫεͱͯ͠ଞͷ഑ྻΛࢀর͢ΔϦετϕΫτϧ͕༻͍ΒΕ͍ͯΔɽϦετϕΫ
τϧʹΑΓɼϕΫτϧԋࢉ͕Մೳ͔ͷ൑அ͕೉͠
͘ͳΔɽਤ 5 Ͱ͸࡞‫ۀ‬഑ྻʹ‫݁ࢉܭ‬ՌΛҰ౓֨ೲ͠ɼ࡞‫ۀ‬഑ྻͷ஋Λࢀর͢Δ͜ͱͰϦετϕΫτ
ϧΛղফ͠ϕΫτϧԽΛଅਐ͢Δ͜ͱ͕Ͱ͖Δɽ࡞‫ۀ‬഑ྻΛ༻͍ͯϦετϕΫτϧΛղফ͢Δ͜ͱ
ͰɼϕΫτϧԽ཰͕ 49.66 ˋ͔Β 99.06 ˋͱ޲্͠ɼର৅ͱ͢Δαϒϧʔνϯͷ࣮ޮੑೳ͸ 16.7 ഒʹ޲্ͨ͠ɽ
ද 1 αϒϧʔνϯͷղੳ݁Ռ
PROC .

EXCLUSIVEBANK CONFLICT

V.OP

AVER.

TIME[sec]%

MFLOPS

RATIO

V.LEN

CPU PORT

orignal75.553

6.2

29.6

49.66

255.9

0.176

0.277

modiﬁed

4.520

0.4

494.8

99.06

255.9

0.514

3.489

NAME

+䠖 ᭱㐺໬ࡉࢀ࡞࠿ࡗࡓ࣮ࣝࣉ|䠖 ࣮ࣝࣉᵓ㐀ࡢ⠊ᅖV䠖 ࣋ࢡࢺࣝ໬ࡉࢀࡓ࣮ࣝࣉ࣭㓄ิᘧ

NETWORKશମͷ࣮ߦ࣌ؒʹରͯ͠όϯΫίϯϑϦΫτͷ઎ΊΔׂ߹͕େ͖͍͜ͱ͕෼͔Δɽ֘౰ͷαϒϧʔνϯͰ͸ෳૉ਺‫ܕ‬഑ྻΛར༻͍ͯ͠ΔͨΊʹඈͼΞΫηε͕ൃੜ͍ͯ͠Δͱߟ͑ΒΕΔɽ͜ͷͨΊɼෳૉ਺Λ࣮਺෦ͱ‫਺ڏ‬෦ʹ෼͚࣮਺‫ܕ‬഑ྻʹอଘ͠ɼϝϞϦ্ͷ࿈ଓ͢ΔྖҬ΁ͷΞΫηεͱ͢Δ͜ͱʹΑΓɼ଎౓௿Լ΍όϯΫίϯϑϦΫτΛট͘ཁҼͱͳΓ͏ΔඈͼΞΫηεͷ࡟‫ظ͕ݮ‬଴Ͱ͖Δɽਤ 6 ʹ࠷దԽલͷෳૉ਺‫ܕ‬഑ྻΛར༻ͨ͠ΦϦδφϧίʔυɼਤ 7 ʹ࠷దԽ‫ޙ‬ͷෳૉ਺Λ࣮਺෦ͱ‫਺ڏ‬෦ʹ෼͚࣮਺‫ܕ‬഑ྻʹͨ͠ϕΫτϧ࠷దԽίʔυΛࣔ͢ɽ͜ͷ࠷దԽͷ݁Ռɼαϒϧʔνϯ୯ମͷ࣮ߦ࣌ؒ͸ 1,453 ඵ͔Β 996 ඵͱͳΓ 457
ඵ୹ॖ͢Δ͜ͱ͕Ͱ͖ͨɽ
ද 2 αϒϧʔνϯͷղੳ݁Ռ
PROC .

EXCLUSIVEBANK CONFLICT

V.OP

AVER.

MFLOPS

RATIO

V.LEN

CPU PORTNETWORK1453.723

41.5 13481.2

99.62

255.9

255.084821.097996.058

34.9 19675.5

99.63

255.9

234.856466.970

NAME

TIME[sec]

orignalmodiﬁed%V------>
V------

DO 101 JG=1,NXYZ
101 RHO2(JG)=(0.D0,0.D0)*VDIR NODEP(RHO1)
V------>
DO 100 IG=1,NXYZ|
JG=J2G(IG)V-----100 RHO1(JG)=P(IG)୰␎CALL FFT3BX_ASL(NRX,NRY,NRZ,NXYZ,RHO1,RHO2,WSAVE_XYZ,IFAC_XYZ)
V------>
do ig=1,nxyz|
VG(ig)=VGG(ig)+Vloc(ig)V-----enddo
V------>
DO 300 I=1,NXYZ|
fac=dt*dreal( vg(i) )V-----300 RHO2(I)=dcmplx( dcos(fac),-dsin(fac) )*RHO1(I)CALL FFT3FX_ASL(NRX,NRY,NRZ,NXYZ,RHO2,RHO1,WSAVE_XYZ,IFAC_XYZ)*VDIR NODEP(RHO2)
V------>DO 110 IG=1,NXYZ|
JG=J2G(IG)V-----110 P(IG)=RHO2(JG)ਤ 6ΦϦδφϧίʔυ *VDIR NODEP
V------>DO IG=1,NXYZ|
JG=J2G(IG)|
RHO1_R(JG)=dble(P(IG))|
RHO1_I(JG)=aimag(P(IG))
V-----ENDDO୰␎CALL FFT3BX_ASL_NEW(NRX,NRY,NRZ,NXYZ,& RHO1_R,RHO1_I,WSAVE_XYZ,IFAC_XYZ)
V------>
do I=1,nxyz|
VG_R(I)=VGG(I)+Vloc(I)|fac=dt*VG_R(I)|RHO2_R(I)=(dcos(fac)*RHO1_R(I))-((-dsin(fac))*RHO1_I(I))|
RHO2_I(I)=(dcos(fac)*RHO1_I(I))-((dsin(fac))*RHO1_R(I))
V-----enddo
CALL FFT3FX_ASL_NEW(NRX,NRY,NRZ,NXYZ,RHO2_R,RHO2_I ,WSAVE_XYZ,IFAC_XYZ)*VDIR NODEP
V------>DO IG=1,NXYZ|
JG=J2G(IG)|
P(IG)=dcmplx(RHO2_R(JG),RHO2_I(JG))|
VG(IG)=dcmplx(VG_R(IG),0.0d0)
V-----ENDDOਤ 7ϕΫτϧ࠷దԽίʔυ

3.1.4 ϑΝΠϧಡΈࠐΈͷ࠷దԽαϒϧʔνϯ 3 ͷղੳ݁ՌΛද 3 ʹࣔ͢ɽ͜ΕʹΑΓαϒϧʔνϯ 3 Ͱ͸ϕΫτϧԽ཰͕ 1.2 ˋͱͳ͍ͬͯΔɽৄࡉͳղੳʹΑΓɼϧʔϓதͰϑΝΠϧ͔ΒσʔλΛಡΈࠐΜͩ௚‫ʹޙ‬ɼಡΈࠐΜͩσʔλʹରͯ͠ԋࢉ͕࣮ߦ͞Ε͍ͯΔ͜ͱ͕෼͔ͬͨɽ
ͦ͜ͰɼϑΝΠϧͷಡΈࠐΈͱԋࢉΛผʑʹॲཧ
͢ΔΑ͏ɼ࠷దԽΛࢪͨ͠ɽͦͷ݁ՌɼϕΫτϧԽ཰͕ 1.2 ˋ͔Β 98.99 ˋͱ޲্͠ɼαϒϧʔνϯ୯Ґͷ࣮ߦ࣌ؒ͸ 219.190 ඵ͔Β 0.095 ඵ΁୹ॖ͢Δ͜ͱ͕Ͱ͖ͨɽ
ද 3 αϒϧʔνϯͷղੳ݁Ռ
PROC .

EXCLUSIVEBANK CONFLICT

V.OP

AVER.

MFLOPS

RATIO

V.LEN

CPU PORTNETWORK

12.5

4.1

1.20

248.1

0.395

0.057

0.0

0.0

98.99

248.0

0.017

0.061

NAME

TIME[sec]%

orignal219.190

modiﬁed

0.095

3.1.5 ࣗಈ࠷దԽϨϕϧͷมߋ͜ͷઅͰ͸ɼࣗಈ࠷దԽͷ‫ݟ‬௚͠ʹΑΔߴ଎Խͷ‫ݕ‬౼Λߦͬͨɽैདྷ͸ɼ‫ن‬ఆϨϕϧͷϕΫτϧԽॲཧΛߦ͏-Cvopt ΦϓγϣϯΛ༻͍͍ͯͨͨΊɼ࠷େ‫ݶ‬ͷϕΫτϧԽॲཧΛߦ͏-Chopt Φϓγϣϯ
Λ࠾༻ͨ͠ɽ-Chopt Λ࢖͏͜ͱͰ࠷దԽ‫ͼٴ‬ϕΫτϧԽΛΑΓੵ‫ۃ‬తʹଅਐ͢ΔϝϦοτ͕͋Δ൓
໘ɼ໋ྩͷฒͼ‫ʹ͑׵‬ର͢Δ࠷దԽ͕‫ج‬ຊϒϩο
ΫΛ·͕ͨͬͯߦΘΕΔͨΊɼ໋ྩͷҠಈʹ൐͏෭࡞༻͕ੜ͡ΔՄೳੑ͕͋Δɽ͔͠͠ɼຊϓϩάϥϜͷ৔߹͸ɼ͜ͷ࠷దԽϨϕϧΛมߋͯ͠΋ɼԋࢉ݁ՌʹӨ‫ڹ‬Λ༩͑Δ͜ͱͳ͘ɼ࣮ߦ࣌ؒΛ 22
ˋ୹ॖ͢Δ͜ͱ͕֬ೝͰ͖ͨɽ͜ΕʹΑΓɼ‫ݸ‬ʑͷ࠷దԽͱซͤͯɼϓϩάϥϜͷৼΔ෣͍Λ‫ͳݟ‬͕Βద੾ͳίϯύΠϧΦϓγϣϯΛબ୒͢Δ͜ͱ
͕ॏཁͰ͋Δ͜ͱ͕Θ͔Δɽ
3.2 FEMTECK(Finite Element Method
based Total Energy Calculation Kit)
3.2.1 FEMTECK ͷ֓ཁ

FEMTECK ͸‫ࢠݪ‬ϨϕϧͷϛΫϩͳ‫ܥ‬ͷੑ࣭
Λྔࢠྗֶʹ‫͍ͯͮج‬γϛϡϨʔγϣϯ͢ΔϓϩάϥϜͰ͋ΓɼΞϧίʔϧ౳ͷ෼ࢠੑӷମ΍೩ྉి஑ɾϦν΢Ϝి஑ͷిղ࣭౳ɼඇৗʹෳࡶͳ‫ܥ‬ͷୈҰ‫ݪ‬ཧ෼ࢠಈྗֶ‫ʹࢉܭ‬ద༻͞Ε͍ͯΔɽ༗‫ݶ‬ཁૉ๏Λ‫ج‬ఈؔ਺ͱͯ͠࢖༻͍ͯ͠ΔͨΊɼฒྻ‫Ͱػࢉܭ‬ͷ࣮ߦʹ޲͍͓ͯΓɼಛʹεΧϥ‫ܕ‬ฒྻίϯϐϡʔλ্Ͱ͸ϐʔΫੑೳͷ 30 ˋҎ্ͷ࣮ޮੑೳΛग़͢͜ͱ͕Ͱ͖ΔɽҰํɼϕΫτϧ‫ܕ‬εʔύʔίϯϐϡʔλ΁ͷରԠ͸ਐΜͰ͓Βͣɼࠓ‫ޙ‬ɼεΧϥ‫ܕ‬ฒྻίϯϐϡʔλͰ͸ѻ͏͜ͱ͕ࠔ೉Ͱ
͋ΔΑ͏ͳେ‫ن‬໛ͳγϛϡϨʔγϣϯΛϕΫτϧ
‫ܕ‬εʔύʔίϯϐϡʔλͰ࣮ߦ͢Δ͜ͱ͕‫ٻ‬ΊΒΕ͍ͯΔ [5]ɽ
3.2.2 ϕΫτϧԽͷଅਐલड़ͷ༷ʹɼຊϓϩάϥϜ͸͜Ε·Ͱʹ࣮ߦ͞Ε͖ͯͨ‫ࢉܭ‬ϓϥοτϑΥʔϜ͕ҟͳΔͨΊɼSX-9
ʹ͓͚Δߴޮ཰࣮ߦΛ࣮‫͢ݱ‬ΔͨΊʹ͸ɼϕΫτϧԽΛଅਐ͢Δํ਑Ͱ࠷దԽ࡞‫ۀ‬ΛߦͬͨɽΦϦδφϧίʔυͰ͸ɼϧʔϓதʹαϒϧʔνϯίʔϧ͕͋Γɼ͜Ε͕ϕΫτϧԽͷ્֐ཁҼͱͳ͍ͬͯͨɽ͜ͷαϒϧʔνϯίʔϧΛίϯύΠϧΦϓ
γϣϯ (-pi) ʹΑΓɼΠϯϥΠϯల։Λߦ͏͜ͱͰ
ؔ਺‫ͼݺ‬ग़͕͠ෆཁʹͳΓϕΫτϧԽ͕Մೳͱͳ
Δɽɹ·ͨɼม਺΁ͷϝϞϦࢀর͕ϦετϕΫτϧͱ
ͳ͍ͬͯΔϧʔϓͰ͸ɼίϯύΠϥʹΑΓґଘؔ܎ͷ༗ແ͕൑அͰ͖ͳ͍ͨΊࣗಈϕΫτϧԽ͕ߦΘΕͳ͍ɽͦ͜Ͱ֘౰͢Δϧʔϓʹґଘؔ܎͕ແ
͍͜ͱΛ֬ೝ͠ɼίϯύΠϥࢦࣔߦ (!cdir nodep)ʹΑΓϕΫτϧԽΛߦ͏ɽ͋Θͤͯɼϧʔϓதͷ
stop จ΍ if จ΋ϕΫτϧԽͷ્֐ཁҼͱͳΔͨ
Ίɼσόοά༻్Ͱ༻͍ΒΕ͍ͯͨ stop จ͸ίϝϯτΞ΢τ͠ɼif จʹΑΔ৚݅෼‫ذ‬͸ϧʔϓͷલͰߦ͏͜ͱͰɼ֘౰ϧʔϓͷϕΫτϧԽΛߦ͏ɽɹ࣍ʹϧʔϓͷ‫܁‬Γฦ͠ճ਺͕୹͘ʢʙ16 ఔ౓ʣ࣮ߦޮ཰͕ߴ͘ͳ͍࠷಺ଆϧʔϓʹରͯ͠͸ɼίϯύΠϥࢦࣔߦ (!cdir expand) ʹΑΓϧʔϓల։Λߦ͍ɼΑΓϧʔϓ௕ͷ௕͍֎ଆͷϧʔϓʹରͯ͠ϕΫτϧԽΛߦ͏ɽ·ͨ࠷಺ଆ͕ϕΫτϧԽ͞Ε͍ͯΔ΋ͷͷͦͷϧʔϓ௕͕ 256 ʹຬͨͳ͍ϧʔϓͰ͸ɼ֎ଆͷϧʔϓΛίϯύΠϥࢦࣔߦ (!cdir
unroll) ʹΑΓϧʔϓΞϯϩʔϦϯάΛߦ͏ɽϧʔϓΞϯϩʔϦϯάͱ͸ϧʔϓຊମͷԋࢉ਺Λ n ഒʹ͠ɼ‫܁‬Γฦ͠਺Λ 1/n ͱ͢Δ͜ͱͰϩʔυɾετΞճ਺Λ࡟‫͢ݮ‬Δߴ଎Խٕ๏Ͱ͋Δ [1]ɽίϯύΠϧࢦࣔߦΛϓϩάϥϜதʹૠೖ͢Δ͜ͱͰίϯύΠϧ࣌ʹࣗಈతʹΞϯϩʔϦϯά͞ΕΔɽΞϯ 
!"#$%&
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ϩʔϦϯάࢦࣔߦΛϓϩάϥϜதʹૠೖ͠ɼϧʔϓΛΞϯϩʔϦϯά͢Δ͜ͱͰɼϧʔϓதͷ഑ྻͷϩʔυɾετΞճ਺Λ࡟‫͢ݮ‬Δɽ͜ΕΒͷख๏ϓͷ֎ʹ‫ׅ‬Γͩ͢͜ͱͰԋࢉྔΛ࡟‫͢ݮ‬Δ͜ͱ͕
Ͱ͖Δɽ·ͨɼਤ 9 ͷΑ͏ʹϦετϕΫτϧΛղ
ফ͢ΔͨΊɼ࡞‫ۀ‬഑ྻΛಋೖ͠όϯΫίϯϑϦΫ

ʹΑΓϕΫτϧԽ͞Εͨϧʔϓͷ࣮ߦޮ཰ΛߴΊ
Δ͜ͱ͕ग़དྷΔɽ
ɹ·ͨɼFPSEID ͷ࣌ͱಉ༷ʹɼࣗಈ࠷దԽΦϓγϣϯΛ-Cvopt ͔Β-Chopt ʹมߋ͠ɼ࠷దԽ͓
ΑͼϕΫτϧԽΛଅਐ͢ΔɽҰͭͷαϒϧʔνϯτΛ࡟‫͢ݮ‬Δɽɹ·ͨɼ͞ΒͳΔόϯΫίϯϑϦΫτΛ࡟‫͢ݮ‬ΔͨΊʹϧʔϓΞϯϩʔϦϯάΛߦ͏ɽdo ii=1,nbase
do ip=1,nprj(ika)zzz=dcmplx(0.d0,0.d0)
do i=igbgn,min0(igend,ngk(ik))
zzz=zzz++prg(i,ip,ika,ik)*vpr(kdidx(i,ik),ina)ͰϧʔϓதͷෆมࣜΛϧʔϓ֎΁Ҡಈͨ͜͠ͱʹΑΓ݁ՌʹࠩҟΛੜͨͨ͡Ίɼ֘౰ͷαϒϧʔνϯʹରͯ͠͸ɼෆมྔͷҠಈΛ཈੍͢ΔΦϓγϣ
ϯࢦࣔߦΛద༻͢ΔɽɹҎ্Ͱࣔͨ͠࠷దԽʹΑΓϕΫτϧԽ͕ଅਐ͞
ΕɼΦϦδφϧίʔυʹରͯ͠࠷దԽ‫ޙ‬ͷίʔυ

++end doprjst(ip,ii,ina)=zzz
end doend doend do͸࣮ߦ࣌ؒൺͰ 3.4 ഒߴ଎Խ͞ΕɼϓϩάϥϜશମͷϕΫτϧԽ཰͸ 92.23 ˋ͔Β 99.17 ˋʹ޲্
͢Δ͜ͱ͕ग़དྷͨɽ͞ΒʹɼϕΫτϧ‫ܕ‬εʔύʔίϯϐϡʔλͰͷϐʔΫੑೳ͸ 39 ˋͷ࣮ޮੑೳΛ
ୡ੒͢Δ͜ͱ͕ग़དྷͨɽ

do ii=1,nbase
zzz=dcmplx(0.d0,0.d0)
do i=igbgn,min0(igend,ngk(ik))
zzz=zzz++vpr(kdidx(i,ik),inabs(ii))+*upg(i-igbgn+1,iibs(ii),katm(inabs(ii)))

3.3 QMAS(Quantum MAterials Simulator)++

3.3.1 QMAS ͷ֓ཁ͖ͮɼ෺࣭ͷిࢠঢ়ଶ͓Αͼ֤छ෺ੑ஋Λߴਫ਼౓ʹ‫͖Ͱࢉܭ‬ΔϓϩάϥϜͰ͋Δɽ৽‫ٕࢉܭͳن‬ज़Λ͍ͪૣ͘ಋೖ͠‫͢༻׆‬ΔͨΊͷϓϥοτϑΥʔϜͰ΋͋Δɽ͜Ε·ͰͷओͨΔ‫ڀݚ‬ର৅ͱͯ͠͸ɼ༗‫ػ‬ಋମ/‫ڧ‬༠ిମɼమ‫ܥ‬௒఻ಋମɼભҠۚଐࢎԽ

ਤ 8

ද 4 αϒϧʔνϯͷղੳ݁Ռ
PROC .

EXCLUSIVEBANK CONFLICT

V.OP

AVER.

NAME

TIME[sec]%

MFLOPS

RATIO

V.LEN

CPU PORTNETWORK

orignal203.04510.025237.5

99.72

250.5

15.747105.658ຊϓϩάϥϜΛ֬ೝ͢Δͱɼਤ 8 ʹࣔ͢Α͏ʹ֘౰ͷαϒϧʔνϯͰ͸ɼ‫ڞ‬௨͢Δԋࢉॲཧ΍ϦετϕΫτϧ͕͋ͬͨɽ‫ڞ‬௨͢Δԋࢉॲཧ͸ϧʔΦϦδφϧίʔυ

do ii=1,nbase
do i=igbgn,min0(igend,ngk(ik))෺ͳͲΛѻ͖ͬͯͨɽ·ͨɼཅిࢠঢ়ଶɾফ໓ύϥϝʔλͷ‫͕ࢉܭ‬ՄೳͰ͋Γɼ൒ಋମதͷ֨ࢠܽؕͷ‫ʹڀݚ‬ར༻͍ͯ͠Δɽࠓ‫ޙ‬ɼ௨৴෦෼Λ‫ݮ‬Β
͠ɼ1CPU Ͱͷ࣮ߦੑೳΛߴΊɼߴϝϞϦόϯυ
෯Λ‫͖Ͱ༻׆‬ΔϓϩάϥϜ͕‫ٻ‬ΊΒΕ͍ͯΔ [6]ɽ

ද 4 ʹ QMAS ͷαϒϧʔνϯͷղੳ݁ՌΛࣔ͢ɽ͜ΕΛ‫ݟ‬Δͱ͜ͷαϒϧʔνϯʹ͓͍ͯ͸όϯΫίϯϑϦΫτ͕ൃੜ͓ͯ͠Γɼ͜ΕΛ࡟‫͢ݮ‬Δ͜ͱͰੑೳվળ͕‫ظ‬଴Ͱ͖Δ͕෼͔ͬͨɽ

*dconjg(vpr(kdidx(i,ik),inabs(jj))*upg(i-igbgn+1,iibs(jj),katm(inabs(jj))))end doQMAS ͸ɼฏ໘೾‫ج‬ఈͱ Projector Augmented-Wave (PAW) ๏Λ༻͍ͯɼີ౓൚ؔ਺ཧ࿦ʹ‫ج‬

3.3.2 όϯΫίϯϑϦΫτͷ࡟‫ݮ‬*dconjg(vpr(kdidx(i,ik),inabs(ii))*upg(i-igbgn+1,iibs(ii),katm(inabs(ii))))+upg_tmp(ii)=upg(i-igbgn+1,iibs(ii),katm(inabs(ii)))
dconjg_tmp(ii)=dconjg(vpr(kdidx(i,ik),inabs(ii))+*upg_tmp(ii))

enddo
enddo
!cdir noloopchg!cdir outerunroll=8
do ii=1,nbase
do i=igbgn,min0(igend,ngk(ik))
ztmp2(ii)=ztmp2(ii)++prg(i,ip,ika,ik)*vpr(kdidx(i,ik),ina).

+*dconjg_tmp(ii)end doenddo
㸸!cdir noloopchg!cdir outerunroll=8
do ii=1,nbase
do i=igbgn,min0(igend,ngk(ik))
ztmp2(ii)=ztmp2(ii)++vpr(kdidx(i,ik),inabs(ii))+*upg_tmp(ii)+*dconjg_tmp(jj)end doenddo

ਤ 9ϕΫτϧ࠷దԽίʔυ 

 ࠷దԽ‫ޙ‬ͷղੳ݁ՌΛද 5 ʹࣔ͢ɽ͜ͷ࠷దԽͷ݁ՌɼόϯΫίϯϑϦΫτΛେ෯ʹ࡟‫͢ݮ‬Δ͜
ͱ͕Ͱ͖ɼ࣮ߦ࣌ؒ͸ΦϦδφϧίʔυʹର͓ͯ͠Αͦ 1.8 ഒʹվળͨ͠ɽ
ද 5 αϒϧʔνϯͷղੳ݁Ռ
PROC .

EXCLUSIVEࢀߟจ‫ݙ‬[1][2][3]
BANK CONFLICT

V.OP

AVER.

NAME

TIME[sec]%

MFLOPS

RATIO

V.LEN

CPU PORTNETWORK

orignal203.04510.025237.5

99.72

250.5

15.747105.658

modiﬁed110.5049.7

23257.0

99.55

249.8

5.257

39.183[4][5]

4. ·ͱΊ
[6]ຊߘͰ͸ɼ෼ࢠಈྗֶγϛϡϨʔγϣϯͷߴ౓ԽͷͨΊʹຊηϯλʔͰऔΓ૊ΜͰ͍Δϓϩάϥ
Ϝͷߴ଎Խٕ๏ʹ͍ͭͯड़΂ͨɽຊηϯλʔ͕‫ܭ‬ࢉࢿ‫ͯ͠ͱݯ‬ఏ‫͍ͯ͠ڙ‬ΔϕΫτϧ‫ܕ‬εʔύʔίϯϐϡʔλ SX-9 ͷੑೳΛ࠷େ‫ʹݶ‬Ҿ͖ग़ͨ͢Ίʹ͸ɼϕΫτϧԋࢉ͕ՄೳͳՕॴΛͰ͖Δ͚ͩ૿΍͠ϕΫτϧԽ཰Λ޲্ͤ͞Δ͜ͱ΍ɼޮ཰తͳ
ϝϞϦΞΫηεΛ࣮‫͢ݱ‬Δ͜ͱʹΑͬͯߴ͍ϝϞϦόϯυ෯ੑೳΛे෼ʹҾ͖ग़͢ඞཁ͕͋Δɽɹ‫ڀݚ‬ͷ࠷લઢͰར༻͞Ε͍ͯΔ 3 ͭͷ෼ࢠಈྗֶγϛϡϨʔγϣϯͷੑೳղੳʹ‫͍ͯͮج‬ɼϕΫτϧԽΛଅਐͤ͞ΔͨΊͷνϡʔχϯά΍ɼ࿈ଓͨ͠ϝϞϦ΁ͷΞΫηεɼόϯΫίϯϑϦΫτͷ
࡟‫ݮ‬΍཈੍ͳͲͷ࠷దԽΛߦͬͨɽ͜ΕʹΑΓɼ

FPSEID, FEMTECK, QMAS ͷͦΕͧΕͰ 1.4
ഒ, 3.4 ഒ, 1.8 ഒͷੑೳ޲্Λୡ੒͢Δ͜ͱ͕Ͱ͖
ͨɽɹ͜ΕΒͷߴ଎ԽࢧԉʹΑΓɼैདྷͷ‫Ͱؒ࣌ࢉܭ‬͸ࠔ೉Ͱ͋ͬͨγϛϡϨʔγϣϯΛ࣮‫͖Ͱݱ‬ɼ࣮‫ͩݧ‬͚Ͱͳ͘‫ࢉܭ‬ՊֶʹΑΔ෼ࢠಈྗֶͷղੳʹߩ‫ݙ‬͢Δ͜ͱ͕Ͱ͖Δ [2]ɽࠓ‫ޙ‬ͷ՝୊ͱͯ͠ FPSEID͸ฒྻੑೳ޲্ͱओ‫ه‬Ա༰ྔͷ࡟‫ݮ‬Λߦ͍ɼେ‫ن‬໛ɾ௕࣌ؒͷγϛϡϨʔγϣϯΛ‫࣮Ͱ಺࣮ؒ࣌ݱ‬ߦ͢Δ͜ͱ͕‫͛ڍ‬ΒΕΔɽFEMTECK ͸ɼ࣍‫ظ‬εʔύʔίϯϐϡʔλΛ‫ݟ‬ਾ͑ͨߴ଎ԽΛ‫ݕ‬౼͢
Δ͜ͱ͕‫͛ڍ‬ΒΕΔɽQMAS ͸ɼ௨৴෦෼ͷ࣌ؒΛ࡟‫͠ݮ‬ɼߴϝϞϦόϯυ෯Λ‫͖Ͱ༻׆‬Δίʔυ͕‫͛ڍ‬ΒΕΔɽँࣙɹຊ‫׆‬ಈ͸ɼ‫ڞ‬ಉ‫ࢀʹڀݚ‬ը͢Δ࢈‫ٕۀ‬ज़૯߹‫ݚ‬‫ॴڀ‬ͷੴ‫ڮ‬ষ࢘ത࢜ɼ౔ాӳೋത࢜ɼ‫ٶ‬ຊྑ೭ത࢜ɼ೔ຊి‫ࣜגؾ‬ձࣾͷҴࡔ७༷ɼഡ‫༷޹ݪ‬ɼү෦༸ࢠ༷ɼඦ੉ਅଠ࿠༷ʹଟେͳ͝‫ྗڠ‬Λ͍͍ͨͩͨɽ͜͜ʹ͋ΒͨΊͯ‫ँײ‬ͷҙΛද͢Δɽ


౦๺େֶαΠόʔαΠΤϯεηϯλʔ, ߴ଎Խਪਐ‫ݚ‬‫׆ڀ‬ಈใࠂ ୈ 5 ߸ʯɼ(2011).
μΠϠϞϯυిࢠ์ग़σόΠεͷߴੑೳԽͷ‫ ݤ‬Λ ཧ ࿦ త ʹ ղ ໌, http://www.aist.go.jp/
aist_j/press_release/pr2013/pr20130913/
pr20130913.html
ΧʔϘϯφϊνϡʔϒΛࢼ‫ݧ‬؅ʹͨ͠ޫԽֶ൓Ԡɼhttp://www.aist.go.jp/aist_j/press_
release/pr2012/pr20120522/pr20120522.html
ϑΣϜτඵϨʔβʔʹΑΔࢎԽάϥϑΣϯͷඇ ೤ త ؐ ‫ ݩ‬Λ ఏ Ҋ, http://www.aist.go.jp/
aist_j/press_release/pr2012/pr20120118/
pr20120118.html
౔ా ӳೋɿ ʮ༗‫ݶ‬ཁૉ๏ʹ‫ͮ͘ج‬ୈҰ‫ݪ‬ཧ෼ࢠಈྗ
ֶ๏ʹ͍ͭͯʯ
ɼ౦‫ژ‬େֶ৘ใ‫ج‬൫ηϯλʔχϡʔεVol.11ɼಛू߸̍ (2009).
Whatʟs QMAS , http://qmas.jp/．ຊߘ͸େֶ I CTਪਐ‫ڠ‬ٞձʢAXIESʣ2013೥

౓೥࣍େձͰൃදͨ͠΋ͷͰ͋Γɼͦͷஶ࡞‫ݖ‬͸େֶ ICTਪਐ‫ڠ‬ٞձʹ‫ؼ‬ଐ͍ͯ͠Δɽ

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᧲ർ࿾඙ߩᄢቇ࡮㜞ኾ╬ߩ࠙ࠚࡉࠨ࡯ࡃߦ߅ߌࠆࠨ࡯ࡃ⸽᣿ᦠߩ೑↪⁁ᴫ*᳓ᧁ ᢘ᣿, ᫪ ୶ሶ, ᦥᩮ ⑲ᤘ᧲ർᄢቇ ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯
᧲ർᄢቇ ᖱႎㇱᖱႎၮ⋚⺖
tm-paper+axies@g-mail.tohoku-university.jp᭎ⷐ㧦᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߦ੐ോዪ߇⟎߆ࠇߡ޿ࠆ᧲ർቇⴚ⎇ⓥࠗ
ࡦ࠲࡯ࡀ࠶࠻ࠦࡒࡘ࠾࠹ࠖ 612+% ߦߪ㧘᧲ർ࿾඙ߩᄢቇ࡮㜞ኾ࡮ቇⴚ⎇ⓥᯏ㑐߇ෳടߒߡ޿ࠆ‫ߪߢ⴫⊒ᧄޕ‬㧘ฦ 612+%ෳട⚵❱߇ㆇ↪ߔࠆ࠙ࠚࡉࠨ࡯ࡃߦ㑐ߒߡ㧘ࠨ࡯ࡃ⸽᣿ᦠߩ೑↪⁁ᴫࠍ⠨ኤߔࠆ‫ౕޕ‬૕⊛ߦߪ㧘⸽᣿ᦠߩ⊒ⴕ⠪㧘⟑ฬࠕ࡞ࠧ࡝࠭ࡓ㧘౏㐿㎛㧘෸߮4GEQTF2TQVQEQNߢ೑↪ߐࠇࠆᥧภൻࠕ࡞ࠧ࡝࠭ࡓߦߟ޿ߡ⺞ᩏ෸߮⠨ኤߔࠆ‫ޕ‬ߪߓ߼ߦߩࠃ߁ߦㆬቯߒߚ߆ߦߟ޿ߡ⺑᣿ߔࠆ‫ޕ‬᧲ർ࿾඙ߦߪ㧘ቇⴚ⎇ⓥ࡮ᢎ⢒ᵴേࠍᡰេߔ
ࠆࠦࡦࡇࡘ࡯࠲ࡀ࠶࠻ࡢ࡯ࠢⅣႺߩ⊒ዷߦ⽸₂

2.1 Google ᬌ⚝ߦࠃࠆ⊒⷗
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ࠨ࡯ࡃߦ㑐ߒߡ㧘ࠨ࡯ࡃ⸽᣿ᦠ߿ 55.6.5 ᛛⴚ ᐕ  ᦬ߢ޽ࠆ㧔᧲ർᄢቇߩ࠼ࡔࠗࡦߩߺ ߩ೑↪⁁ᴫߦߟ޿ߡ⺞ᩏߒ㧘ߘߩ⚿ᨐࠍߣࠅ߹

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એ਄ߩⷐ㗔ߢ૞ᚑߒߡ޽ߞߚ *6625 ࠨ࡯ࡃߩ*662QXGT55.6.5 ࠨ࡯ࡃߦኻߒߡ㧘ࠨ࡯ࡃ࡝ࠬ࠻ߦၮߠ߈㧘ౣᐲ  ᐕ  ᦬ߦ࡝ࠬ࠻ਛ

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ࠍ⹜ߺ㧘*6625 ߣߒߡធ⛯น⢻ߥ߽ߩߩߺࠍ᛽

࡞ࠧ࡝࠭ࡓߦߟ޿ߡ⺞ᩏ෸߮⠨ኤߔࠆ‫ޕ‬಴ߒߡ㧘ᦨ⚳⊛ߥ⺞ᩏኻ⽎ *6625 ࠨ࡯ࡃߣߒߚ‫ޕ‬ࡂ࠶ࠪࡘ㑐ᢙߥߤ߽฽߼ߚᥧภൻࠕ࡞ࠧ࡝
࠭ࡓ߿ 55.6.5 ᛛⴚߩ᭎ⷐߦߟ޿ߡߪ㧘ᢥ₂=?
߇ࠊ߆ࠅᤃߊ㧘 ᐕᒰᤨߦ߅ߌࠆ᡽ᐭ౏౒

2.2 ⺞ᩏኻ⽎ࠨ࡯ࡃߩ᭎ᴫ
೨ㅀߩᣇᴺߢ⺞ᩏኻ⽎ߣߥߞߚ *6625 ࠨ࡯ࡃ♽࡮㊄Ⲣ♽ߩ *6625 ࠨ࡯ࡃߩ⁁ᴫ߽ႎ๔ߐࠇߡ

ࠍ᦭ߔࠆ 612+% ෳടᯏ㑐ߪ  ᯏ㑐ߢ޽ࠅ㧘ࠨ࡯޿ࠆ‫ᧄޕ‬Ⓜߩႎ๔ߪ㧘ห᭽ߥ⺞ᩏࠍ⃻࿷ߩ᧲ർࡃߩว⸘ᢙߪ  ߢ޽ߞߚ‫ߩߘޕ‬ౝ⸶ߣߒߡ㧘࿾඙ߩᄢቇ࡮㜞ኾ╬ߩࠨ࡯ࡃߦኻߒߡ⹜ߺࠆ߽

บએ਄ߩࠨ࡯ࡃࠍᜬߟᯏ㑐ࠍ⴫ߦ⸥ߔ‫ޕ‬ߩߢ޽ࠆ‫ޕ‬612+% ෳടᯏ㑐

2⺞ᩏኻ⽎ HTTPS ࠨ࡯ࡃߩ೉᜼
ᧄ▵ߢߪ㧘⺞ᩏኻ⽎ߣߔࠆ *6625 ࠨ࡯ࡃࠍߤ

บᢙ᧲ർᄢቇ VQJQMWCELR ⑺↰ᄢቇ CMKVCWCELR  

 
ർ㉿ᄢቇ MKVCUCVQWCELR ߣߒߡᦨ߽ᢙߩᄙ߆ߞߚ‫ޟ‬YYY‫ߪޠ‬㧘ߘߩᯏ㑐߿ᒄ೨ᄢቇ JKTQUCMKWCELR ᯏ㑐ౝߩㇱዪ╬ߦ߅ߌࠆᖱႎࠍ⊒ାߔࠆ࠙ࠚࡉ

᧲ർቇ㒮ᄢቇ VQJQMWICMWKPCELR ળᵤᄢቇ WCK\WCELR ጤᚻ⋵┙ᄢቇ KYCVGRWCELR ጊᒻᄢቇ [COCICVCWCELR ࠆ࡙࡯ࠩߩࡠࠣࠗࡦࠍᔅⷐߣߔࠆ㧕ࡐ࡯࠲࡞ࠨ

⑔ፉᄢቇ HWMWUJKOCWCELR ࡯ࡆࠬ߿ 820 ࠨ࡯ࡆࠬ㧘ᢎ⢒ࠦࡦ࠹ࡦ࠷♽ࠨ࡯઄บ㜞╬ኾ㐷ቇᩞ UGPFCKPEVCELR ࡆࠬ╬ߩឭଏߦ߅޿ߡ *6625 ࠨ࡯ࡃ߇ᵴ↪ߐࠇ

ጤᚻක⑼ᄢቇ KYCVGOGFCELR ߡ޿ࠆ᭽ሶ߇ࠊ߆ࠆ‫ޕ‬ጤᚻᄢቇ KYCVGWCELR ⍹Ꮞኾୃᄢቇ KUGPUJWWCELR ౎ᚭᎿᬺᄢቇ JKVGEJCELR ᧲ർ⑔␩ᄢቇ VHWCELR ౕ૕⊛ߦߪ㧘1RGP55. ࠍ↪޿ߡ㧘ᰴߩࠦࡑࡦ࠼

⑔ፉ⋵┙ක⑼ᄢቇ HOWCELR ߦࠃࠅᓧࠄࠇࠆ +UUWGT ߩᖱႎࠍขᓧߒ㧘ߣࠅ߹ή⺰㧘੹࿁ኻ⽎ߣߥߞߚ *6625 ࠨ࡯ࡃߢ 612+%ෳടᯏ㑐߇ㆇ↪ߔࠆߔߴߡߩ߽ߩࠍ✂⟜ߒߡ޿ࠆࠊߌߢߪ᳿ߒߡߥߊ㧘ߎߎߢ⷗ઃ߆ࠄߥ߆ߞ
ߚࠨ࡯ࡃ߽ẜ࿷⊛ߦᢙᄙߊሽ࿷ߔࠆߎߣ߇੍ᗐ

ࠨࠗ࠻ߢ޽ࠆࠤ࡯ࠬ߇ᄙ޿‫ߚ߹ޕ‬㧘଀߃߫‫ޟ‬YGDOCKN‫ޠ‬㧘‫ޟ‬YO‫ޠ‬㧘
‫ޟ‬YOCKN‫ޠ‬෸߮‫ޟ‬OCKN‫ߪޠ‬㧘ߘߩฬߩㅢࠅ㧘࠙ࠚࡉࡔ࡯࡞ߩࠨ࡯ࡆࠬࠍឭଏ
ߔࠆ߽ߩ߫߆ࠅߢ޽ߞߚ‫ઁߩߘޕ‬㧘
㧔+&29 ߦࠃ

3ࠨ࡯ࡃ⸽᣿ᦠߩ⊒ⴕ⠪ߩ⺞ᩏᧄ▵ߢߪ㧘⺞ᩏኻ⽎ߩ *6625 ࠨ࡯ࡃ߇೑↪ߒߡ޿ࠆࠨ࡯ࡃ⸽᣿ᦠߩ⊒ⴕ⠪ߩᖱႎࠍ⺞ᩏߔࠆ‫ޕ‬ߣ߼ࠆ‫ࠇߎޕ‬એ㒠ߦ⸥タߔࠆ⺞ᩏߪߔߴߡ ᐕ  ᦬ߦⴕߞߚ‫ޕ‬
 openssl s_client -cconnect www.tohoku.ac.jp:443–sshowcerts < /dev/nullߐࠇࠆ㧔଀߃߫㧘߽ߜࠈࠎฦᯏ㑐ߩౝㇱࡀ࠶࠻ࡢ࡯ࠢ╬ߢ೑↪ߐࠇߡ޿ࠆࠨ࡯ࡃߪ⷗ઃ߆ࠄߥ޿ߒ㧘)QQING ᬌ⚝ߦࠢࡠ࡯࡞ߐࠇߡ޿ߥ޿ࠨ࡯

એਅߦ㧘⊒ⴕ⠪ߣߥߞߡ޿ࠆᢙ߇ᄙ߆ߞߚ߽
ߩߩ਄૏  ߟࠍ␜ߔ‫ޕ‬ࡃ߽ṳࠇߡ޿ࠆ㧕‫ޕ‬ᰴߦ㧘 ୘ߩฦ (3&0 ߆ࠄ㧔౨㗡ߩ㧕ࡎࠬ࠻⊒ⴕ⠪ฬࠍขࠅ಴ߒߡᢙ߃਄ߍ㧘 ୘એ਄ߩ߽ߩࠍਗ

0++1RGP&QOCKP%#)



8GTK5KIP%NCUU5GEWTG5GTXGT%#)

)NQDCN5KIP&QOCKP8CNKFCVKQP%#)



4CRKF55.%#

%[DGTVTWUV,CRCP2WDNKE%#)



#NRJC55.%#)

ߴࠆߣᰴߩ⴫ߩࠃ߁ߦߥߞߚ‫ޕ‬
ࡎࠬ࠻ฬ

୘ᢙ

ࠨ࡯ࡃᢙ

YYY



YGDOCKN



YO



ᦨ߽ᢙߩᄙ޿‫ޟ‬0++1RGP&QOCKP%#)‫ޠ‬

RQTVCNߪ㧘࿖┙ᖱႎቇ⎇ⓥᚲߩ‫ޟ‬72-+ ࠝ࡯ࡊࡦ࠼ࡔࠗ

KC



ࡦ⸽᣿ᦠ⥄േ⊒ⴕᬌ⸽ࡊࡠࠫࠚࠢ࠻‫ࠆࠃߦ?=ޠ‬

YYY



߽ߩߢ㧘ߎߩࡊࡠࠫࠚࠢ࠻ߦෳടߔࠆᯏ㑐ߪ⾌

YOCKN

↪ߩ⽶ᜂߥߊࠨ࡯ࡃ⸽᣿ᦠࠍ⊒ⴕߒߡ߽ࠄ߃ࠆ

UUN



ߎߣ߽޽ࠅ㧘612+% ෳടᯏ㑐߽㕖Ᏹߦᄢ޿ߦ೑

OGPM[Q↪ߒߡ޿ࠆߎߣ߇ࠊ߆ࠆ‫ߜࠊߥߔޕ‬㧘ో૕ߩ 

OCKN



ࠨ࡯ࡃਛ㧘 ࠨ࡯ࡃ߇ 0++ ߩ⸽᣿ᦠࠍ೑↪ߒߡ

NOU



߅ࠅ㧘ߘߩ₸ߪ⚂  ഀߢ޽ࠆ‫ޕ‬ᔅߕߒ߽ࡎࠬ࠻ฬߩᢥሼ೉߇ 55.6.5 ߩ਄ߦߩߞߡ޿ࠆࠨ࡯ࡆࠬࠍ⴫ߔߣߪ㒢ࠄߥ޿߇㧘߅߅ࠃߘߩ௑ะߪ⷗ߡขࠆߎߣ߇ߢ߈ࠆ‫ޕ‬ᢥሼ೉ߥ߅㧘⴫ߦߪ฽߹ࠇߥ޿⊒ⴕ⠪ߦࠃࠆࠨ࡯ࡃ
⸽᣿ᦠߩਛߦߪ㧘⥄Ꮖ⟑ฬ⸽᣿ᦠ㧔޿ࠊࠁࠆࠝ
࡟ࠝ࡟⸽᣿ᦠ㧕ߩ߽ߩ߽޿ߊߟ߆ᢔ⷗ߐࠇߚ‫ޕ‬ 



!"#$%&'()*+%&',-./012߹ߚ㧘ฦࠨ࡯ࡃ߆ࠄㅍࠄࠇߡߊࠆ㧔਄૏ߩ߽ߩ

⽎ߦᯏ᪾⊛ߦ㧕࠴ࠚ࠶ࠢߒߚߣߎࠈ㧘 ߟࠍ㒰߽฽߼ߚ㧕⸽᣿ᦠߩᢙࠍࠞ࠙ࡦ࠻ߔࠆߣ㧘ᰴߩ߈ߔߴߡ  ࡆ࠶࠻ߢ޽ߞߚ‫଀ߩߘޕ‬ᄖߩ ࠃ߁ߥ⚿ᨐߣߥߞߚ‫ޕ‬ㅍࠄࠇߡߊࠆ⸽᣿ᦠᢙ

ߟߪ㎛㐳߇  ࡆ࠶࠻ߢ޽ߞߚ߇㧘୘೎ߦ⺞ᩏ
ࠨ࡯ࡃᢙ

















ߒߚߣߎࠈ㧘ㅍࠄࠇߡߊࠆ㧔᦭ലᦼ㒢ಾࠇߩ㧕ਛ㑆⸽᣿ᦠߦ฽߹ࠇࠆ㎛ߩ㐳ߐ߇  ࡆ࠶࠻ߣ޿߁ߛߌߢ㧘ታ㓙ߩ⟑ฬߪ  ࡆ࠶࠻ߩ߽ߩ
ߢߥߐࠇߡ߅ࠅ㧘㧔ࠬ࠻ࠕߐࠇߡ޿ࠆ࡞࡯࠻⸽᣿
ᦠߣਛ㑆⸽᣿ᦠߦࠃࠅ㧕࠙ࠚࡉࡉ࡜࠙ࠩߢߩធ
⛯ߦߪ໧㗴߇ߥ߆ߞߚ‫ޕ‬ㅍࠄࠇߡߊࠆ⸽᣿ᦠ߇  ߟߒ߆ߥ޿  ࠨ࡯ࡃߩ߁ߜ㧘⥄りߩ⸽᣿ᦠ߇⥄Ꮖ⟑ฬ⸽᣿ᦠߢߪߥ

౏㐿㎛ߩ⺞ᩏ

5ᧄ▵ߢߪ㧘ฦࠨ࡯ࡃߩ౏㐿㎛ߩᖱႎࠍ⺞ᩏߔ߆ߞߚ߽ߩߪ  ߟߢ޽ߞߚ‫ޕ‬ ߹ߚ㧘ㅍࠄࠇߡߊࠆ⸽᣿ᦠߩᢙ߇  ߢ޽ࠆ ࠆ‫⚿ߩߘޕ‬ᨐ㧘ߔߴߡߩࠨ࡯ࡃߢ TUC'PET[RVKQPࠨ࡯ࡃߦߟ޿ߡ⺞ߴߡߺࠆߣ㧘ߘߩ߁ߜߩ  ߟ߇↪޿ࠄࠇߡ޿ࠆߎߣ߇ࠊ߆ࠅ㧘㎛㐳߽฽߼ߚߩࠨ࡯ࡃߪ㧘⥄りߩࠨ࡯ࡃ⸽᣿ᦠࠍ  ୘㧔หߓౝ⸶ߪᰴߩㅢࠅߢ޽ࠆ‫ޕ‬߽ߩࠍ㧕ㅍߞߡ޿ߚ‫ޕ‬ᱷࠅߩ  ߟߩࠨ࡯ࡃߪ㧘౏㐿㎛

⥄りߩ⸽᣿ᦠ㧘ਛ㑆⸽᣿ᦠ㧘ࠢࡠࠬ⸽᣿ᦠ㧘෸߮㧔 ࡆ࠶࠻ߩ㧕࡞࡯࠻⸽᣿ᦠࠍㅍߞߡ޿ߚ
㧔ࡌ࡝ࠨࠗࡦߩࠢࡠࠬ࡞࡯࠻ᣇᑼߦࠃࠆᬌ⸽ߦ
ኻᔕߒߡ޿ࠆ߽ߩߣ⠨߃ࠄࠇࠆ㧕‫ޕ‬ࠨ࡯ࡃᢙ

TUC'PET[RVKQP DKV 

TUC'PET[RVKQP DKV 

TUC'PET[RVKQP DKV ㄭᐕᜰ៰ߐࠇߡ޿ࠆࠃ߁ߦ㧘 ࡆ࠶࠻ᧂḩ

4⟑ฬࠕ࡞ࠧ࡝࠭ࡓߩ⺞ᩏ

ߩ 45# ㎛ߩ೑↪ߪㆡಾߢߪߥ޿ߣ⠨߃ࠄࠇࠆ‫ޕ‬ᧄ▵ߢߪ㧘ࠨ࡯ࡃ⸽᣿ᦠߦઃ޿ߡߊࠆ⟑ฬߦߟ޿ߡ㧘ߘߩ↢ᚑࠕ࡞ࠧ࡝࠭ࡓࠍ⺞ᩏߔࠆ‫ޕ‬ᓧࠄࠇߚ⚿ᨐߪᰴߩㅢࠅߢ޽ࠆ‫ޕ‬⟑ฬࠕ࡞ࠧ࡝࠭ࡓ

Record Protocol ߦ߅ߌࠆᥧภൻㅢା

6ᧄ▵ߢߪ㧘55.6.5 ߩ 4GEQTF2TQVQEQN ߦ߅ࠨ࡯ࡃᢙUJC9KVJ45#'PET[RVKQP OF9KVJ45#'PET[RVKQP

UJC9KVJ45#'PET[RVKQP޿ߡ㧘ฦࠨ࡯ࡃ߇ߤߩࠃ߁ߥᥧภൻࠕ࡞ࠧ࡝࠭
ࡓࠍฃߌ౉ࠇࠆ߆ࠍ⺞ᩏߔࠆ‫ౕޕ‬૕⊛ߦߪ㧘
1RGP55. ࠍ↪޿ߡ㧘ᰴߩ  ߟߩᥧภࠬࠗ࡯࠻ࠍ
ኻ⽎ߦߒߡታ㛎ࠍታᣉߒߚ‫ޕ‬C %#/'..+#5*#ߎߩ⴫߆ࠄࠊ߆ࠆㅢࠅ㧘߶ߣࠎߤߩࠨ࡯ࡃ⸽᣿

D #'55*#ᦠߢߪ㧘45# ߣࡂ࠶ࠪࡘ㑐ᢙ 5*# ߣߩ⚵ߺวE #'55*#ࠊߖߦࠃࠆ⟑ฬࠕ࡞ࠧ࡝࠭ࡓ߇↪޿ࠄࠇߡ޿ߚ‫ޕ‬F 4%5*#ߘࠇએᄖߩ⚵ߺวࠊߖߩ߽ߩ߽฽߼ߡ㧘45# ߩG 4%/&ታ૕ߣߒߡߪߔߴߡ 45#55#2-%5XA ߇૶↪
ߐࠇߡ޿ࠆ‫ޕ‬ታ㛎ߩ⚿ᨐࠍᰴߦ␜ߔ‫ޕ‬߹ߚ㧘⟑ฬߦ૶ࠊࠇߚ㎛ߩ㐳ߐߦߟ޿ߡ㧘ㅍࠄࠇߡߊࠆ਄૏ߩࠨ࡯ࡃ⸽᣿ᦠߦၮߠ޿ߡ㧔ࠨ

C 

D 

E 

F 

G  ࠨ࡯ࡃᢙ

࡯ࡃ߆ࠄⶄᢙߩ⸽᣿ᦠ߇ㅍࠄࠇߡߊࠆ߽ߩࠍኻ



‫܃‬

‫܃‬

‫܃‬

‫܃‬





 
=?࿖┙ᖱႎቇ⎇ⓥᚲ㧘72-+ ࠝ࡯ࡊࡦ࠼ࡔࠗࡦ⸽

‫܃‬

‫܃‬

‫܃‬

‫܃‬

‫܃‬









‫܃‬

‫܃‬



‫܃‬

‫܃‬

‫܃‬

‫܃‬





‫܃‬

‫܃‬

‫܃‬







ቯ⁁ᴫߦ㑐ߔࠆ ᐕᐲߣ ᐕᐲߩᲧ



‫܃‬

‫܃‬

‫܃‬





セ࡮⠨ኤ㧔ㅦႎ





‫܃‬

‫܃‬

‫܃‬





‫܃‬

‫܃‬







᣿ ᦠ ⥄ േ ⊒ ⴕ ᬌ ⸽ ࡊ ࡠ ࠫ ࠚ ࠢ ࠻ JVVRUWRMKRQTVCNPKKCELRFQEUQFEGTV=?㗇⾐␭ᴦ࿾ᣇ⥄ᴦ૕ 9GDࠨࠗ࠻ߩ 55.⸳

࠹ࠖࠪࡦࡐࠫ࠙ࡓ RR
=?૒⮮੫ᄥศ↰ൎᒾ⍮ട⦟⋓㑐⦟᣿␹
↰㓷ㅘ55. ߦ߅ߌࠆᥧภ⸳ቯ⏕⹺࠷࡯࡞ߩឭ
᩺ߣ⹏ଔᖱႎ⑼ቇᛛⴚࡈࠜ࡯࡜ࡓ(+6

ߎߩ⴫ߢߪ㧘࠴ࠚ࠶ࠢ㧔‫܃‬㧕ߩ౉ߞߡ޿ࠆᥧ
ภࠬࠗ࡯࠻ߦኻᔕߒߡ޿ࠆࠨ࡯ࡃߩบᢙࠍ⸥タߒߡ޿ࠆ‫⚿ߩߎޕ‬ᨐ߆ࠄߪ㧘೑↪น⢻ߥᥧภࠬࠗ࡯࠻ߦߟ޿ߡ㧘࠴ࡘ࡯࠾ࡦࠣࠍⴕߞߡ޿ࠆࠨ
࡯ࡃߪዋߥ޿ࠃ߁ߦ⷗ฃߌࠄࠇࠆ‫ޕ‬


߅ࠊࠅߦ

7

ᧄⓂߢߪ㧘᧲ർ࿾඙ߩᄢቇ࡮㜞ኾ࡮ቇⴚ⎇ⓥ

㧕ࠦࡦࡇࡘ࡯࠲࠮ࠠࡘ࡝

RR
=? 3WCN[U 55. .CDU 55. 5GTXGT 6GUVJVVRUYYYUUNNCDUEQOUUNVGUVKPFGZJVON=?㤥Ꮉ⾆ม㊁ፉ⦟⋓วᔒᏔ/KPKPI;QWT2UCPF3Uߩߘߩᓟࠦࡦࡇࡘ࡯࠲࠮ࠠࡘ࡝
࠹ࠖࠪࡦࡐࠫ࠙ࡓ RR
=? 3WCN[U 55. .CDU 55. %NKGPV 6GUVJVVRUYYYUUNNCDUEQOUUNVGUVXKGY/[%NKGPV
JVONᯏ㑐߇ෳടߒߡ޿ࠆ 612+%ෳട⚵❱ࠍኻ⽎ߦ㧘ࠨ࡯ࡃ⸽᣿ᦠߩ೑↪⁁ᴫ߿ *6625 ࠨ࡯ࡃߩ⸳ቯ
⁁ᴫࠍ⺞ᩏߒߚ‫ޕ‬੹࿁ߩ⺞ᩏߪߏߊၮᧄ⊛ߥ߽ߩߢ޽ࠆ߇㧘߅߅ࠃߘߩേะߩᛠីߪߢ߈ߚߣ⠨߃ࠆ‫࠮ࠅࠃޕ‬ࠠࡘ࡝࠹ࠖ⣀ᒙᕈ╬ߦ․ൻߒߚ㗄⋡߽฽߼ᄢⷙ
ᮨߥ⺞ᩏ߇ᢥ₂=?ߢႎ๔ߐࠇߡ޿ࠆ‫ߚ߹ޕ‬㧘ࠨ࡯ࡃߩᥧภ⸳ቯߩ⏕⹺ߦㆡߒߚ࠷࡯࡞߽ឭ᩺ߐ
ࠇߡ޿ࠆ=?‫ޕ‬㎛ߩ૞ᚑᤨߦ౒ㅢߩ⚛ᢙࠍ૶ߞߡߒ߹߁ߎߣߦࠃࠆ⣀ᒙᕈߩ໧㗴߽ᤓᐕ᧪㧘ᵈ⋡ࠍ㓸߼ߡ޿ࠆ=?‫੹ޕ‬ᓟ߽ࠃࠅ߈߼⚦߆޿⺞ᩏࠍ⛮⛯ߒߡࠁ߈ߚ޿‫߅ߥޕ‬㧘࠙ࠚࡉࡉ࡜࠙ࠩ߇೑ ↪ น ⢻ ߥ ᥧ ภ ࠬ ࠗ ࡯ ࠻ ߩ ⏕ ⹺ ߦ ߪ 㧘‫ ޟ‬55.
%NKGPV6GUV‫߇?=࠻ࠗࠨߩޠ‬ଢ೑ߢ޽ࠆ‫ޕ‬⻢ㄉ ▵ߢㅀߴߚ  ᐕ  ᦬ߣ  ᦬ߩᬌ⚝ߦࠃ
ࠆ *6625 ࠨ࡯ࡃߩ࡝ࠬ࠻ൻߦ޽ߚߞߡߪ㧘᧲ർᄢቇᎿቇㇱᦥᩮ࡮᳓ᧁ⎇ⓥቶߩ  ᐕ↢ߩ⊝ߐࠎߦߏዧജ㗂޿ߚ‫ޕ‬ෳ⠨ᢥ₂=?␹↰㓷ㅘᥧภࠕ࡞ࠧ࡝࠭ࡓߩ቟ోᕈߩ߅⹤
+PVGTPGV9GGM ࡊ࡟࠯ࡦ࠹࡯࡚ࠪࡦ
JVVRUYYYPKECFLRLCOCVGTKCNUKYRTQEGGFKPIU*+9*RFH*

ᧄⓂߪᄢቇ +%6 ផㅴද⼏ળ㧔#:+'5㧕 ᐕᐲᐕᰴᄢળߢ⊒⴫ߒߚ߽ߩߢ޽ࠅ㧘ߘߩ⪺૞ᮭߪᄢቇ +%6 ផㅴද⼏ળߦᏫዻߒߡ޿ࠆ‫ޕ‬ 
=ႎ๔?


5% ႎ๔
᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ ዊ᧻৻ᒾ  ᐕ  ᦬  ᣣޯ ᣣߦ☨࿖ࠦࡠ࡜࠼Ꮊ࠺ࡦࡃ࡯Ꮢߦ߅޿ߡ +PVGTPCVKQPCN%QPHGTGPEGHQT
*KIJ2GTHQTOCPEG%QORWVKPI0GVYQTMKPI5VQTCIGCPF#PCN[UKU ㅢ⒓ 5% ߇㐿௅ߐࠇ߹ߒߚ‫ޕ‬5% ߪࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠹ࠖࡦࠣߣߘߩ㑐ㅪᛛⴚߦ㑐ߔࠆ਎⇇ᦨᄢߩ࿖㓙ળ⼏ߢ޽ࠅ‫ ޔ‬ᐕ߆ࠄᐕߦ  ࿁㐿௅ߐࠇߡ߅ࠅ‫੹ޔ‬࿁ߢ  ๟ᐕ⋡ࠍㄫ߃߹ߔ‫ޕ‬ෳട⠪ߪળ⼏ో૕ߢ⚂  ੱߣ㕖Ᏹߦᄙߊ‫ߩߘޔ‬ᐕߩᦨᣂߩ⎇ⓥᚑᨐ࡮⵾ຠ߇⊒⴫ߐࠇ߹ߔ‫੹ޕ‬࿁‫ޔ‬5% ߦෳടߒ‫ࠗࠨ࡯ࡃࠗࠨޔ‬ࠛࡦࠬ࠮ࡦ࠲࡯ߦ߅ߌࠆ⎇ⓥᵴേࠍ⊒⴫ߒߡ߈߹ߒߚߩߢ‫ߩߘޔ‬ႎ๔ࠍ޿ߚߒ߹ߔ‫ޕ‬
 5%ߪᛛⴚ⺰ᢥ߇⊒⴫ߐࠇࠆᧄળ⼏ߣ‫ޔ‬ᄢቇ࡮⎇ⓥᚲ࡮ડᬺ╬߇ᦨᣂߩ⎇ⓥᚑᨐ࡮⵾ຠࠍ⊒⴫ߔࠆዷ␜ળ߆ࠄ᭴ᚑߐࠇߡ޿߹ߔ‫ߪ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޕ‬ᵹ૕⑼ቇ⎇ⓥᚲߣ㊄ዻ᧚ᢱ⎇ⓥᚲߣㅪ៤ߒ‫᧲ޔ‬ർᄢቇߣߒߡࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠹ࠖࡦࠣߦ㑐ߔࠆᵴേߦߟ޿ߡ‫଀ޔ‬ᐕዷ␜ࠍⴕ
ߞߡ޿߹ߔ‫᧲ޕ‬ർᄢቇዷ␜ࡉ࡯ࠬߢߪ‫੺⚫ߩࡓ࠹ࠬࠪࡦࠦࡄࠬߩ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬߿ᰴᦼࠪࠬ࠹ࡓߩዉ౉ࠬࠤࠫࡘ࡯࡞ࠍߪߓ߼‫ޔ‬዁᧪ߩ*2%+ࠪࠬ࠹ࡓߩ޽ࠅᣇߩ⺞ᩏ⎇ⓥ߿࡮
ᰴరⓍጀᛛⴚࠍᵴ↪ߒߚࡊࡠ࠮࠶ࠨߦ㑐ߔࠆ⎇ⓥߥߤ‫ޔ‬ᰴ਎ઍߩ㜞ᕈ⢻⸘▚ၮ⋚ᛛⴚߦ㑐ߔࠆᦨᣂߩ⎇ⓥᚑᨐߩዷ␜߿⊒⴫ࠍⴕ޿߹ߒߚ‫ޔߚ߹ޕ‬%4'56‫࡞࡯ࠤࠬ࠲ࡍ࠻ࠬࡐޟ‬㜞ᕈ⢻⸘▚ߦ⾗ߔࠆࠪࠬ࠹ࡓ࠰ࡈ࠻࠙ࠚࠕᛛⴚߩഃ಴‫ޠ‬ዷ␜ࡉ࡯ࠬߦ߅޿ߡ߽‫⎇ࡦࠦࡄࠬޔ‬ⓥㇱߩ⎇ⓥᚑᨐߩ৻ㇱࠍዷ␜޿ߚߒ߹ߒߚ‫ޕ‬㨪ᣣߩᣣ㑆ߩዷ␜ળᦼ㑆ਛ‫᧲ޔ‬ർᄢቇዷ␜ࡉ࡯ࠬ߳ߩ⸰໧⠪ߪฬએ
਄ߦ߽ߩ߷ࠅ‫ޔ‬ᵴ⊒ߥ⼏⺰࡮ᖱႎ੤឵ࠍⴕ߁ߎߣ߇ߢ߈߹ߒߚ‫ޕ‬ ੹ᐕߩ 5% ߪ  ᦬  ᣣ㨪 ᣣߦ☨࿖࡞ࠗࠫࠕ࠽Ꮊ࠾ࡘ࡯ࠝ࡝ࡦ࠭Ꮢߢⴕࠊࠇࠆ੍ቯߢߔ‫ޕ‬᧲ർᄢቇዷ␜ࠬ࠲࠶ࡈ      ዷ␜ߩ᭽ሶ    5% ๟ᐕ⸥ᔨࡄࡀ࡞ 

 




=ႎ๔?

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౎Ꮞବテഥᢎ䇮㒙ㇱᱜ⧷ಎᢎ᝼䇮Ꮉ෶᡽ᓕᢎ᝼䈱⎇ⓥ䉫䊦䊷䊒䈏㩷㔚ሶᖱႎㅢାቇળ╙ 㪉㪎 ࿁ାภಣℂ䉲䊮䊘䉳䉡䊛䈪䈱⊒⴫䈮ኻ䈚䈩䇮㪪㪠㪧 ⧯ᚻᅑബ⾨䉕ฃ⾨䈚䉁䈚䈢㩷㩷 ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩ౎Ꮞବテഥᢎ‫ޔ‬Ꮏቇ⎇ⓥ⑼ߩ㒙ㇱᱜ⧷ಎᢎ᝼‫ޔ‬Ꮉ෶᡽ᓕᢎ᝼ߩ⎇ⓥࠣ࡞࡯ࡊ߇㔚ሶᖱႎㅢାቇળ╙  ࿁ାภಣℂࠪࡦࡐࠫ࠙ࡓߢߩ⊒⴫ߦኻߒߡ‫ޔ‬5+2 ⧯ᚻᅑബ⾨ࠍฃ⾨ߒ߹ߒߚ‫ޕ‬ฃ⾨⺰ᢥฬᣇะ⛔⸘ቇߦၮߠߊ૏⋧㒢ቯ⋧㑐㑐ᢙߩ⛔⸘⊛⸃ᨆ     㧔╙  ࿁ାภಣℂࠪࡦࡐࠫ࠙ࡓ⺰ᢥ㓸RR0QXGODGT㧕⪺⠪㧦౎Ꮞବテ㧘㒙ㇱᱜ⧷㧘Ꮉ෶᡽ᓕ

ቇળ 9GD ࡍ࡯ࠫJVVRYYYKGKEGQTI`UKRU[OR

 
㨇ዷ␜ቶଢࠅԢ㨉࿾⃿ࠪࡒࡘ࡟࡯࠲᧼ୖ ᙗ৻
⁛┙ⴕ᡽ᴺੱᶏᵗ⎇ⓥ㐿⊒ᯏ᭴ ੹࿁ߪ‫ޔ‬࿾⃿ࠪࡒࡘ࡟࡯࠲ߢߔ‫ޕ‬ೋઍ࿾⃿ࠪࡒࡘ࡟࡯࠲(2002 ᐕ㨪2009ᐕ‫ޔ‬એਅ ES)ߪ‫ޔ‬ᣥቝቮ㐿⊒੐ᬺ࿅㧔⃻㧔⁛㧕ቝቮ⥶ⓨ⎇ⓥ㐿⊒ᯏ᭴ 㧕‫ޔ‬ᣥᣣᧄේሶജ⎇ⓥᚲ(⃻(⁛)ᣣᧄේሶജ⎇ⓥ㐿⊒ᯏ᭴㧕‫ ޔ‬ᣥᶏᵗ⑼ቇᛛⴚ࠮ࡦ࠲
࡯㧔⃻(⁛)ᶏᵗ⎇ⓥ㐿⊒ᯏ᭴‫ޔ‬એਅ
JAMSTEC㧕ߩ 3 ߟߩᴺੱߦࠃߞߡ㐿⊒ߒ‫ޔ‬ᣣᧄ㔚᳇(ᩣ)ߦࠃߞߡ⵾ㅧߐࠇ
߹ߒߚ‫ޕ‬ES ߪ JAMSTEC ౝߩ࿾⃿ࠪࡒࡘ࡟࡯࠲࠮ࡦ࠲࡯ߦᑪㅧߐࠇߚ࿾
⃿ࠪࡒࡘ࡟࡯࠲᫟㧔50m65m17m㧕
ߦ⸳⟎ߐࠇ‫ޔ‬ቢᚑߒ߹ߒߚ‫ޕ‬ES ߪ‫ࠢ࡯ࡇޔ‬ᕈ⢻߇ 40Tflops ࠍᜬߜ‫ޔ‬2002 ᐕ 6 ᦬߆ࠄ 5 ᦼㅪ⛯ߢ਎⇇ߩࠬ࡯ࡄ࡯࡮ࠦࡦࡇࡘ࡯࠲ߩ TOP500

࿑㧝 ࿾⃿ࠪࡒࡘ࡟࡯࠲᫟ᮨဳ౮⌀ਛᄩߩࠬࠞࠗࡉ࡞࡯ߩࠠࡖࡆࡀ࠶࠻߇ࠢࡠ
ࠬࡃࠬࠗ࠶࠴‫ߩߘޔ‬๟ࠅࠍขࠅ࿐߻ࡉ࡞࡯ߩ
ࠠࡖࡆࡀ࠶࠻߇⸘▚ࡁ࡯࠼‫ߦࠄߐޔ‬ᄖ஥ߩ⊕޿ࠠࡖࡆࡀ࠶࠻߇⏛᳇࠺ࠖࠬࠢߣᏀᅏ߇ࠞ
࡯࠻࡝࠶ࠫ࠹࡯ࡊ࡜ࠗࡉ࡜࡝

࡜ࡦࠠࡦࠣߦ߅޿ߡ‫ޔ‬No.1 ߦ⹺ቯߐࠇ߹ߒߚ‫ ߩߢ߹ࠇߘޔߪࠇߎޕ‬No.1 ߢ޽ߞߚ☨࿖ ASCIQ ࠪࠬ࠹ࡓߩ 5 ୚એ਄ߩᕈ⢻ߣߥࠅ‫࠰߇⚕࠭ࡓࠗ࠲ࠢ࡯࡛࡯ࡘ࠾ޔ‬ㅪߩ᦭ੱੱᎿⴡᤊࠬࡊ
࡯࠻࠾ࠢߩฬ೨ࠍ߽ߓࠅ‫ޔ‬‫ߣޠࠬࠢ࠾࠻࡯ࡘࡇࡦࠦޟ‬๭߮‫⹤ޔ‬㗴ߣߥࠅ߹ߒߚ‫ޕ‬TOP500 ࡜ࡦࠠࡦࠣߪ 1993 ᐕߦ㐿ᆎߐࠇ‫ޔ‬Linpack ࠹ࠬ࠻ߣ๭߫ࠇࠆࡌࡦ࠴ࡑ࡯ࠢ࠹ࠬ࠻ࠍ㐿⊒ߒ ߚ࠹ ࡀࠪ ࡯ᄢ ቇߩ ࠼ࡦ ࠟ࡜ ᢎ᝼ ߿‫☨ ޔ‬
NERSC ߩࠬ࠻࠶ ࠢࡑࠗࡗ࡯ඳ჻ߣࠨࠗࡕ
ࡦඳ჻‫ࡓࠗࡂࡦࡑ⁛ޔ‬ᄢቇߩࡕࠗࡗ࡯ඳ჻ߦ
ࠃߞߡㆇ༡ߐࠇ‫ߡߞࠃߦ࠻ࠬ࠹ߩߎޔ‬਎⇇ߢᦨ߽ᒝജߥࠬ࡯ࡄ࡯࡮ࠦࡦࡇࡘ࡯࠲ 500 ᯏࠍㆬ಴ߒ‫⚿ޔ‬ᨐࠍᲤᐕ 2 ࿁࠙ࠚࡉࠨࠗ࠻ߢ⊒⴫࿑㧞 2004 ᐕ TOP500 ╙ 1 ૏ߩ⸽᣿ᦠ

ߒߡ޿߹ߔ‫ޕ‬ES ߩࡂ࡯࠼࠙ࠚࠕߪ‫ޔ‬640 บߩ⸘▚ࡁ࡯࠼ࠍ‫ޔ‬640640 ߩනᲑࠢࡠࠬࡃࡀ࠶࠻ࡢ࡯ࠢߢ⚿วߐߖߡ޿߹ߔ‫ޕ‬ฦ⸘▚ࡁ࡯࠼ߪ‫࡯ࡇޔ‬ࠢᕈ⢻ 8Gflops ߩࡌࠢ࠻࡞ဳ⸘▚ࡊࡠ࠮࠶ࠨ 8 บ߇ਥ⸥ᙘⵝ⟎ 16GB ࠍ౒᦭ߔࠆ౒᦭ࡔࡕ 

 
࡝ဳਗ೉⸘▚ᯏߣߥߞߡ޿߹ߔ‫࠼࡯ࡁޕ‬㑆ߩ࠺࡯࠲ㅢାࠍ෺ᣇะหᤨߢ 24.6GB/⑽ߢ࠺࡯࠲
ࠍㅍฃାߔࠆߎߣ߇ߢ߈‫ߩࠢ࡯ࡢ࠻࠶ࡀోޔ‬ォㅍ⢻ജߪ‫ ⚂ޔ‬8TB/⑽ߢߔ‫࠲࡯࠺ޕ‬ㅢାࠍⴕ߁ᤨ‫ ࠍ࠲࡯࠺ߪ࠼࡯ࡁޔ‬128 ୘ߦಽഀߒ‫ޔ‬128 ᧄߩࠤ࡯ࡉ࡞ࠍ૶ߞߡਗ೉ߦ⋧ᚻߩࡁ࡯࠼
߹ߢォㅍߐࠇరߦᒻߦᚯߐࠇ߹ߔ‫࠲࡯࠺ߩߎޕ‬ォㅍࠍ೙ᓮߔࠆߚ߼ߦࡁ࡯࠼޽ߚࠅ 2 ᧄߩࠤ࡯ࡉ࡞߇૶ࠊࠇߡ޿߹ߔ‫࠼࡯ࡁޕ‬㑆ߩ⚿วࡀ࠶࠻ࡢ࡯ࠢߢ૶ࠊࠇߡ޿ࠆࠤ࡯ࡉ࡞ߩ✚ᧄ
ᢙߪ 640130 = 83,200 ᧄߢ޽ࠅ✚ᑧ㐳ߪ⚂ 2,400Km ߦ߽ߥࠅ߹ߔ‫ޕ‬࿑㧟 ⸘▚ࡁ࡯࠼╲૕ߣ⚿วࡀ࠶࠻ࡢ࡯ࠢ╲૕

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࿑㧠 ⸘▚ࡊࡠ࠮࠶ࠨࡕࠫࡘ࡯࡞ߣࡔࡕ࡝ࡕࠫࡘ࡯࡞
ᣣᧄ㔚᳇ߪ‫ޔ‬ES ࠍၮᧄߣߒߚ SX-6 ࠍ࡝࡝࡯ࠬߒߡ޿߹ߔ‫ޔߪࠇߎޕ‬ዷ␜ቶଢࠅԝߢ⚫
੺ߒߚ SX-㧠ߣ SX-7 ߩ㑆ߩᯏ⒳ߢߔ‫ޕ‬ਥߥ․ᓽߪ‫ ߩߎޔ‬ES ߅ࠃ߮ SX-6 ߩ਎ઍ߆ࠄ‫ޔ‬㧝࠴࠶ࡊߩ LSI ߢ CPU ߇᭴ᚑߐࠇߚὐߢߔ‫ޕ‬ዷ␜ቶߢߪ‫╲࠼࡯ࡁ▚⸘ޔ‬૕ߣ⸘▚ࡊࡠ࠮࠶ࠨࡕࠫࡘ࡯࡞‫౏ࠍ╬࡞࡯ࡘࠫࡕ࡝ࡕࡔޔ‬㐿ߒߡ޿߹ߔ ዷ␜ຠ㧝㨪ዷ␜ຠ㧟 ‫ޕ‬                       ዷ␜ຠ㧝 ⸘▚ᯏࡁ࡯࠼╲૕     ዷ␜ຠ㧞    ⸘▚ᯏࡊࡠ࠮࠶ࠨ‫ޔ࠻࠶࠾࡙࡝ࡕࡔࡦࠗࡔޔ‬LSI ࠴࠶ࡊዷ␜ຠ㧟 2003 ᐕ ╙ 32 ࿁ᣣᧄᛛⴚ↥ᬺᄢ⾨ฃ⾨⋫‫࡯ࠖࡈࡠ࠻ޔ‬

 

=9GD

 


ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓ࠾ࡘ࡯ࠬࠃࠅ? ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓ࠾ࡘ࡯ࠬߦឝタߐࠇߚ⸥੐ߩ৻ㇱࠍォタߒߡ޿߹ߔ‫ ޕ‬JVVRYYYUUKUEVQJQMWCELRVC[QTK








ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ 5: ߳ߩ⋥ធࡠࠣࠗࡦߩ஗ᱛߦߟ޿ߡ 0Q ࠮ࡦ࠲࡯ߢߪ࠮ࠠࡘ࡝࠹ࠖᒝൻߩߚ߼‫ ࠲࡯ࡘࡇࡦࠦ࡯ࡄ࡯ࠬޔ‬5: ߩળ⹤ဳಣℂࠨ࡯ࡃUWRGTKUEVQJQMWCELR㧔એਅUWRGT㧕߳ߩ⋥ធࡠࠣࠗࡦࠍ஗ᱛ޿ߚߒ߹ߒߚ‫ޕ‬UWRGT߳ࡠࠣࠗࡦߐࠇࠆ㓙ߪ‫ޔ‬ਗ೉ࠦࡦࡇࡘ࡯࠲ 'ZRTGUU ߩળ⹤ဳಣℂࠨ࡯ࡃIGPKUEVQJQMWCELR㧔એਅIGP㧕ߦ৻ᐲࡠࠣࠗࡦߒ‫ ࠄ߆ߎߘޔ‬UWRGT ߳ࡠࠣࠗࡦࠍ߅㗿޿޿ߚߒ߹ߔ‫ࡦࠗࠣࡠޕ‬ᣇᴺߪએਅߩㅢࠅߢߔ‫ࡦࠗࠣࡠޕ‬ᣇᴺߪએਅߩㅢࠅߢߔ‫ޕ‬

IGPUUJ೑↪⠪⇟ภ"UWRGT㧔KUEVQJQMWCELRߪ⋭⇛ߢ߈߹ߔ㧕߹ߚߪ‫ޔ‬IGPUUJN೑↪⠪⇟ภUWRGT࡙࡯ࠩฬ"UWRGT URCUUYQTFࡄࠬࡢ࡯࠼ࠍ౉ജ
೑↪⠪ߩᣇߦߪߏਇଢࠍ߅߆ߌ޿ߚߒ߹ߔ߇‫ޔ‬૗තߏℂ⸃ߏදജࠍ߅㗿޿޿ߚߒ߹ߔ‫ߏޕ‬ਇ᣿ߥὐ߇޽ࠅ߹ߒߚࠄ‫౒ޔ‬ห⎇ⓥᡰេଥ㧔U[UUGE"KUEVQJQMWCELR㧕߹ߢ߅໧޿วࠊߖਅߐ޿‫ޕ‬                         㧔౒ห⎇ⓥᡰេଥ㧘౒ห೑↪ᡰេଥ㧕







࠮ࡦ࠲࡯⻠⠌ળ⾗ᢱߩ౏㐿ߦߟ޿ߡ 0Q ࠮ࡦ࠲࡯ߢߪ೑↪⠪ߩᣇߩࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲߿ࠕࡊ࡝ࠤ࡯࡚ࠪࡦߩ೑↪ࠍࠨࡐ࡯࠻ߔ
ࠆߚ߼‫⻠ߩ࡯࠲ࡦ࠮ޔ‬⠌ળߢ૶↪ߒߚ࠹ࠠࠬ࠻࡮Ṷ⠌⾗ᢱ࡮ࠨࡦࡊ࡞࠺࡯࠲ࠍ౏㐿ߒߡ߅ࠅ߹ߔ‫ޕ‬
⻠⠌ળ⾗ᢱߩ࠳࠙ࡦࡠ࡯࠼ࡍ࡯ࠫ߳ߪ‫ޔ‬ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓߩ࠻࠶ࡊࡍ࡯ࠫߩ‫⻠ޟ‬⠌ળ᩺ౝ‫ߪߚ߹ޔࠢࡦ࡝ߩޠ‬ਅ⸥ߩ࡝ࡦࠢࠃࠅߏⷩਅߐ޿‫ޕ‬
JVVRYYYUUKUEVQJQMWCELRIWKFGCTEJKXGUJVON            㧔౒ห೑↪ᡰេଥ㧘౒ห⎇ⓥᡰេଥ㧕㩷㩷㩷

5#5 ߩࠨ࡯ࡆࠬ⚳ੌߦߟ޿ߡ 0Q 

5#5 ࠺࡯࠲⸃ᨆࠪࠬ࠹ࡓ ߩࠨ࡯ࡆࠬߪࠪࠬ࠹ࡓߩᦝᣂߦ઻޿‫ޔ‬ᐔᚑᐕ᦬ᧃߢ⚳ੌ޿ߚߒ߹ߔ‫ޕ‬㐳޿㑆ߩߏ೑↪޽ࠅ߇ߣ߁ߏߑ޿߹ߒߚ‫ޕ‬㧔౒ห೑↪ᡰេଥ㧕 
 ೑↪⽶ᜂ㊄㧔 ᦬㨪 ᦬ಽ㧕ߩ⺧᳞ߦߟ޿ߡ 0Q  ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓߩᐔᚑ  ᐕ  ᦬㨪 ᦬ಽߩ೑↪⽶ᜂ㊄ߩ⺧᳞ࠍᰴߩࠃ߁ߦⴕ޿߹
ߔ㧔ᤓᐕߣหߓߢߔ㧕‫ޕ‬‫ޝ‬ቇౝᡰᛄ⽿છ⠪‫ޞ‬  ᦬߆ࠄ  ᦬ਛᣨ߹ߢߩ೑↪⽶ᜂ㊄ࠍ  ᦬ਅᣨߦ⺧᳞ߒ߹ߔ‫ߩߘޕ‬ᓟ  ᦬ᧃ߹ߢߩ೑↪⽶
ᜂ㊄ߪ‫ޔ‬⠉ᐕᐲ  ᦬ߦ⺧᳞ߒ߹ߔ㧔ᐔᚑ  ᐕᐲߩᄢቇㆇ༡⾗㊄ߢ੍▚ߩ⺞ᢛࠍⴕ޿߹ߔ㧕‫ޕ‬ߥ߅‫ޔ‬੐೨ߦ⾌⋡ߩᜰቯߪᔅⷐ޽ࠅ߹ߖࠎ‫⺧ޕ‬᳞㊄㗵⏕ቯᓟ‫࡯࠲ࡦ࠮ޔ‬ળ⸘ଥࠃࠅฦㇱዪߩળ⸘ᜂᒰࠍㅢߒߡᾖળ޿ߚߒ߹ߔ‫ޕ‬‫ޝ‬ቇᄖᡰᛄ⽿છ⠪‫ޞ‬  ᦬߆ࠄ  ᦬ਛᣨ߹ߢߩታ❣㗵ߣ  ᦬ᧃ߹ߢߩ೑↪⷗ㄟ㗵ࠍว▚ߒߚ೑↪⽶ᜂ㊄ࠍ  ᦬ਅᣨߦ⺧᳞ߒ߹ߔ‫ޕ‬೑↪⷗ㄟ㗵ߪએਅߩ OKMQOK ࠦࡑࡦ࠼ߢ  ᦬  ᣣ ㊄ ߹ߢߦ↳๔ߒߡߊߛ
ߐ޿‫⷗ޔ߅ߥޕ‬ㄟ㗵ߣታ❣߇⇣ߥߞߡ߽♖▚ߪⴕࠊߥ޿ߩߢߏᵈᗧߊߛߐ޿‫ޕ‬ ߹ߚ‫ޔ‬ᡰᛄ⾌⋡ฬߩ౉ߞߚ೑↪⽶ᜂ㊄⺧᳞ᦠࠍᏗᦸߔࠆ႐ว߿‫⺧ޔ‬᳞ᦠߩㆡⷐᰣ╬ߦߟ޿ߡਇ᣿ߥὐ߇޽ࠆ႐วߪ‫ޔ‬੐೨ߦળ⸘ଥ㧔㧕߳ߏㅪ⛊ߊߛߐࠆࠃ߁߅㗿޿޿ߚߒ߹ߔ‫ޕ‬‫ޣ‬OKMQOK ࠦࡑࡦ࠼ߩ૶↪଀‫ޤ‬UUJIGPKUEVQJQMWCELRN೑↪⠪⇟ภ           ਗ೉ࠦࡦࡇࡘ࡯࠲ߦࡠࠣࠗࡦ
೑↪⠪⇟ภ"IGPKUEVQJQMWCELR URCUUYQTFࡄ
ࡄࠬࡢ࡯࠼ߒߡਅ✢ㇱࠍ౉ജߒ߹ߔ‫ޕ‬
 IGPOOKMQOK   ᦬  ᣣ ⃻࿷ߩ⷗ㄟߺ㗵ߪᰴߩߣ߅ࠅߢߔ‫ޕ‬   ᡰᛄ⽿છ⠪   㧦 ٤٤ ٤٤ 㧔W㧕⷗ㄟߺ㗵ᜰቯ⠪ 㧦   ⷗ㄟߺ㗵    㧦      ౞ 㧚⷗ㄟߺ㗵ߩᜰቯ  㧚೥㒰  㧚⚳ੌ ૗⇟ߩಣℂࠍㆬ߮߹ߔ߆㧫 ⷗ㄟߺ㗵ࠍ౉ജߒߡߊߛߐ޿ ౞ 㧫
 ⊓㍳ߒߡࠃࠈߒ޿ߢߔ߆㧔[GUPQ㧕㧫[[GU ࡮࡮࡮࡮
 IGP
⽶ᜂ㊄ో⥸ߦ㑐ߔࠆߎߣߢਇ᣿ߥὐ߇޽ࠆ႐วߪ‫౒ޔ‬ห೑↪ᡰេଥ㧔㧕߳ߏㅪ⛊ߊߛߐࠆࠃ߁߅㗿޿ߒ߹ߔ‫ޕ‬                        㧔౒ห೑↪ᡰេଥળ⸘ଥ㧕೑↪⽶ᜂ㊄㗵ߩ⴫␜ࠦࡑࡦ࠼ߦߟ޿ߡ 0Q ᧄ࠮ࡦ࠲࡯ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓߢߪ‫ޔ‬೑↪⠪ߩ೑↪㗵ߣᡰᛄ⽿છ⠪ߏߣߩ೑↪㗵࡮⽶ᜂ㗵ࠍ⴫␜ߔࠆߚ߼ߩࠦࡑࡦ࠼ߣߒߡMCMKPUMCMKP߇޽ࠅ߹ߔ‫ޔߪ࠼ࡦࡑࠦߩࠄࠇߎޕ‬ਗ೉ࠦࡦࡇࡘ࡯࠲ IGPKUEVQJQMWCELR ߦࡠࠣࠗࡦߒߡ૶↪ߒ߹ߔ‫ޕ‬


 

 ࠦࡑࡦ࠼ฬ


ᯏ  ⢻MCMKP

೑↪⠪ߏߣߩ೑↪㗵ࠍฦࠪࠬ࠹ࡓ‫␜⴫ߦߣߏ᦬ޔ‬UMCMKPᡰᛄ⽿છ⠪ߏߣߦ㓸⸘ߒߚ೑↪㗵ߣ⽶ᜂ㗵ࠍ⴫␜㧔⽶ᜂ㗵ߪഀᒁ೙ᐲߦၮߠ޿ߚ㊄㗵㧕޿ߕࠇ߽‫ޔ‬೨ᣣ߹ߢߏ೑↪޿ߚߛ޿ߚ㊄㗵ࠍ⴫␜ߒ߹ߔ‫ߪ଀↪૶࠼ࡦࡑࠦޕ‬ᄢⷙᮨ⑼ቇ⸘
▚ࠪࠬ࠹ࡓ࠙ࠚࡉࡍ࡯ࠫࠍߏⷩߊߛߐ޿‫ޕ‬⽶ᜂ㊄ߩ⏕⹺JVVRYYYUUKUEVQJQMWCELRWVKNK\GCECFGOKEJVON⽶ᜂ㊄ߩ⏕⹺    ౒ห೑↪ᡰេଥ ⎇ⓥᚑᨐ࡝ࠬ࠻ឭ಴ߩ߅㗿޿ 0Q ᐔ⚛‫ߩ࡯࠲ࡦ࠮ᧄޔ‬ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓࠍߏ೑↪޿ߚߛ߈޽ࠅ߇ߣ߁ߏߑ޿߹ߔ‫ޕ‬ᧄ࠮ࡦ࠲࡯ߢߪ‫ޔ‬ቇⴚ⎇ⓥࠍᡰ߃ࠆ਎⇇ᦨ㜞᳓Ḱߩᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓߩዉ౉ߣ೑↪
ⅣႺߩᢛ஻࡮᜛లࠍⴕ޿‫⎇ޔ‬ⓥߩ⊒ዷߦ⾗ߔࠆߎߣࠍᔃដߌߡ߹޿ࠅ߹ߒߚ‫੹ޕ‬ᓟ߽ࠪࠬ࠹
ࡓߩᢛ஻ࠍㅴ߼ߡ޿ߊߦߪ‫ޔ‬ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓ߇ᄙߊߩ⎇ⓥಽ㊁ߢᔅⷐਇนᰳߢ޽ࠅ‫ޔ‬߆ߟ⎇ⓥᚑᨐ߇ᓧࠄࠇߡ޿ࠆߎߣࠍᐢߊࠕࡇ࡯࡞ߒߡ޿ߊᔅⷐ߇޽ࠅ߹ߔ‫ޕ‬ߟ߈߹ߒߡߪ‫࡯࠲ࡦ࠮ᧄޔ‬ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓࠍ೑↪ߒߡᓧࠄࠇߚ⎇ⓥᚑᨐࠍ‫ޔ‬ਅ⸥ߦࠃࠅឭ಴ߊߛߐࠆࠃ߁߅㗿޿↳ߒ਄ߍ߹ߔ‫ޔ߅ߥޕ‬ឭ಴ߒߡ޿ߚߛߊ⎇ⓥᚑᨐߪ‫ޔ‬ᐔᚑ ᐕᐲਛߦ⊒⴫ߐࠇߚ߽ߩߣߒ߹ߔ‫ޕ‬                     ⸥    㧝㧚⎇ⓥᚑᨐ࡝ࠬ࠻㧦⪺⠪ฬ‫⺰ޔ‬ᢥฬ‫ޔ‬ឝタ⹹㧔Ꮞภ㗁㧕‫⴫⊒ޔ‬ᐕ    㧞㧚ឭ಴ᣇᴺ   㧦㔚ሶࡔ࡯࡞ߢ߅㗿޿ߒ߹ߔ‫ޕ‬ឭ಴వࡔ࡯࡞ࠕ࠼࡟ࠬ  UGKMC"KUEVQJQMWCELR    㧟㧚✦ಾࠅᣣ   㧦ᐔᚑ  ᐕ  ᦬  ᣣ㧔㊄㧕    㧠㧚໧วߖవ   㧦౒ห೑↪ᡰេଥ㧔WMGVWMG"KUEVQJQMWCELR㧕⺰ᢥ╬߳ߩ೑↪ߩ᣿⸥ߦߟ޿ߡ ⎇ⓥᚑᨐࠍ⺰ᢥ╬ߢ⊒⴫ߔࠆ႐วߦߪ‫ࠍ࡯࠲ࡦ࠮ᧄޔ‬೑↪ߒߚᣦࠍ᣿⸥ߊߛߐࠆࠃ߁߅㗿޿޿ߚߒ߹ߔ‫ޕ‬㧙⸥౉଀㧙‫⎇ᧄޟ‬ⓥߩታ㛎⚿ᨐߩ৻ㇱߪ‫᧲ޔ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓࠍ೑↪ߒߡᓧࠄࠇߚ‫ޠޕ‬ 2CTVQHVJGGZRGTKOGPVCNTGUWNVUKPVJKUTGUGCTEJYGTGQDVCKPGFWUKPI   UWRGTEQORWVKPITGUQWTEGUCV%[DGTUEKGPEG%GPVGT6QJQMW7PKXGTUKV[                                  㧔౒ห೑↪ᡰេଥ㧕  

̆ 5'0#% ၫ╩ⷐ㗄 ̆㧝㧚߅ነߖ޿ߚߛ߈ߚ޿ᛩⓂౝኈ ᰴߩࠃ߁ߥౝኈߩᛩⓂߩ߁ߜ‫ޔ‬ᒰ࠮ࡦ࠲࡯ߢㆡᒰߣ್ቯߒߚ߽ߩࠍឝタߒ߹ߔ‫ߩߘޕ‬㓙ߦේⓂߩୃᱜࠍ߅㗿޿ߔࠆߎߣ߽޽ࠅ߹ߔߩߢ޽ࠄ߆ߓ߼ߏੌᛚߊߛߐ޿‫ޕ‬࡮৻⥸೑↪⠪ߩᣇ‫߇ޘ‬㑐ᔃࠍ߽ߚࠇࠆ੐㗄ߦ㑐ߔࠆ⺰⺑࡮࠮ࡦ࠲࡯ߩ⸘▚ᯏࠍ೑↪ߒߡⴕߞߚ⎇ⓥ⺰ᢥߩ᭎ⷐ
࡮ࡊࡠࠣ࡜ࡒࡦࠣߩታ଀ߣ⸃⺑ ࡮࠮ࡦ࠲࡯ߦኻߔࠆᗧ⷗‫ᦸⷐޔ‬࡮೑↪⠪⋧੕ߩᖱႎ੤឵
㧞㧚ၫ╩ߦ޽ߚߞߡߏᵈᗧ޿ߚߛߊ੐㗄 ේⓂߪᮮᦠ߈ߢߔ‫ޕ‬ ⴚ⺆એᄖߪ‫ޟޔ‬Ᏹ↪ṽሼ‫⃻ޟߪߥ߆ޔ޿↪ࠍޠ‬ઍ߆ߥߠ߆޿‫ޕߔ߹ߒߣߩ߽ࠆ޿↪ࠍޠ‬ ቇⴚ޽ࠆ޿ߪᛛⴚߦ㑐ߔࠆේⓂߩ႐ว‫ޔ‬ ሼ㨪 ሼ⒟ᐲߩࠕࡉࠬ࠻࡜ࠢ࠻ࠍߟߌߡߊߛߐ޿‫ޕ‬ ෳ⠨ᢥ₂ߪㅢߒ⇟ภࠍઃߒᧃየߦ৻᜝⸥タߒ‫ᧄޔ‬ᢥਛߩ⹥ᒰ▎ᚲߦᒁ↪⇟ภࠍ⸥౉ߊߛߐ޿‫ޕ‬ ࡮㔀⹹㧦⪺⠪࠲ࠗ࠻࡞㔀⹹ฬᏎภࡍ࡯ࠫ⊒ⴕᐕ ࡮ᦠ☋㧦⪺⠪ᦠฬࡍ࡯ࠫ⊒ⴕᚲ⊒ⴕᐕ㧟㧚ේⓂߩឭ಴ᣇᴺ
ේⓂߩࡈࠔࠗ࡞ᒻᑼߪ 9QTF ࠍᮡḰߣߒ߹ߔ߇‫ޔ‬2&( ߢߩឭ಴߽น⢻ߢߔ‫ߪ ࠭ࠗࠨޕ‬એਅࠍෳᾖߒ
ߡߊߛߐ޿‫ߪ࡞ࠗࠔࡈޕ‬㔚ሶࡔ࡯࡞ߢឭ಴ߒߡߊߛߐ޿‫ޕ‬
㧙9QTF ߩ႐ว㧙  ࡮↪⚕ࠨࠗ࠭㧦# ࡮૛⊕㧦਄㧩OO ਅ㧩OO Ꮐฝ㧩OO ✄ߓઍ㧩 ࡮ᮡḰߩᢥሼᢙ㧔 ᢥሼ  ⴕ㧕 㧨ᢥሼࠨࠗ࠭╬ߩ⋡቟㧪 ࡮⴫㗴㧩ࠧࠪ࠶ࠢ૕ RV ਛᄩ ࡮೽㗴㧩᣿ᦺ૕ RV ਛᄩ ࡮᳁ฬ㧩᣿ᦺ૕ RV ਛᄩ ࡮ᚲዻ㧩᣿ᦺ૕ RV ਛᄩ ࡮ᧄᢥ㧩᣿ᦺ૕ RV ࡮┨࡮⷗಴ߒ⇟ภ㧩ࠧࠪ࠶ࠢ૕ RV㨪RV  ૛⊕ࠨࠗ࠭‫ޔ‬ᢥሼᢙ‫ޔ‬ᢥሼࠨࠗ࠭ߪ⋡቟ߣ߅⠨߃ߊߛߐ޿‫ޕ‬㧠㧚ߘߩઁ ၫ╩⠪ߦߪ‫ޔ‬Ꮧᦸ߇޽ࠇ߫೎೚  ㇱࠍㅴ๒ߒ߹ߔ‫ ޕ‬ㇱࠍ⿥߃ࠆಽߦߟ޿ߡߪ‫⪺ޔ‬⠪ߩታ⾌
⽶ᜂߣߒ߹ߔ‫ޕ‬೎೚ߩᏗᦸㇱᢙ╬ߪᛩⓂߩ㓙ߦ↳ߒ಴ߡߊߛߐ޿‫ޕ‬  ᛩⓂ੍ቯߩේⓂ߇  ࡍ࡯ࠫࠍ⿥ߔ႐วߪએਅ߹ߢ೨߽ߞߡߏㅪ⛊ߊߛߐ޿‫ޕ‬ ೋ࿁ߩᩞᱜߪ‫ޔ‬ၫ╩⠪߇ⴕߞߡ‫⺋ޔ‬ᬀߩ㒐ᱛࠍߪ߆ࠆ߽ߩߣߒ߹ߔ‫ޕ‬ ේⓂߩឭ಴వߪᰴߩߣ߅ࠅߢߔ‫ޕ‬᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ౝ ᖱႎㇱᖱႎၮ⋚⺖౒ห೑↪ᡰេଥGOCKN WMGVWMG"KUEVQJQMWCELR
6'.   
ǹǿȃȕ̝Ǔ ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩ₵㑐೨ߦ޽ߞߚ㚢ゞ႐߿ᬀ߃ㄟߺ߇᠗෰ߦߥࠅ㧘ᰴߩࠬࡄࠦࡦࠍ෼
ኈߔࠆᣂ᫟ߩᎿ੐߇ᆎ߹ࠅ߹ߒߚ‫ޕ‬ ޿߹ߩࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩᑪ‛ࠍᣂ▽ߒߡ㧘 ᐔߩㅢ⎇ߩ⛯߈ߩᑪ‛ߦ޽ߞߚᄢဳ⸘▚ᯏ࠮ࡦ࠲࡯߇⒖ォߒߚߩ߇  ᐕ㧔ᐔᚑ  ᐕ㧕ߩᐕᧃߢߒߚߩߢ㧘߅ࠃߘ  ᐕ߱ࠅߩᄢⷙᮨߥᎿ੐
ߦߥࠆߣ߅߽޿߹ߔ‫ޕ‬ ᒰᤨߪ᧲ർᄢቇߩ ᐔࠠࡖࡦࡄࠬߩ㕍⪲ጊ✚ว⒖ォߩవ㚟ߌߣ߽⸒ࠊࠇ߹ߒߚ߇㧘ߘߩᓟߦ㕍⪲ጊߩᣂࠠࡖࡦࡄࠬߦ ᐔࠠࡖࡦࡄࠬ߆ࠄ⒖ォߒߚᑪ‛߇ߥ߆ߞߚߥߤ㧘ᤨઍߩ⒖ࠅᄌࠊࠅ߽޽ࠅ߹ߒߚ‫ޕ‬߹ߚ㧘⒖ォߒߡߔߋߦᄢဳ⸘▚ᯏ࠮ࡦ࠲࡯ߩ  ๟ᐕ⸥ᔨᑼౖ߇޽ࠅ߹ߒߚ߇㧘ߘߩᓟߦో࿖⊛ߥᄢⷙ
ᮨ⑼ቇ⸘▚ࠗࡦࡈ࡜ࠍขࠅᏎߊ⁁ᴫ߿ቇౝߩᖱႎၮ⋚ߩᄌൻ߽޽ߞߚߚ߼ߦ㧘૗ᐲ߆ᡷ⚵߇޽ߞߡ㧘ᖱႎࠪ࠽ࠫ࡯࠮ࡦ࠲࡯ߩᤨᦼࠍ⚻ߡ㧘 ᐕ㧔ᐔᚑ  ᐕ㧕ߦࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߦߥߞߡ߆
ࠄᣧߊ߽  ᐕ߇⚻ߜ߹ߒߚ‫ޕ‬ ᒰᤨߪࠬࡄࠦࡦߣߒߡ  ᯏ⋡ߩ 5:4 ߇  ᐕ  ᦬ߦㆇ↪ࠍᆎ߼ߚ⋥ᓟߢ㧘ᄢⷙᮨᢙ୯ࠪࡒࡘ
࡟࡯࡚ࠪࡦߥߤߩ೑↪⠪ߦࠬࡄࠦࡦ߳⒖ⴕߒߡ޿ߚߛ޿ߡ޿ߚߎࠈߢߒߚ‫৻ߩߘޕ‬ᣇߢ㧘߹ߐߒߊᄢ
ဳ⸘▚ᯏߢ޽ߞߚࡔࠗࡦࡈ࡟࡯ࡓߩ♽⛔ߢߪ #%15 ߇ࡇ࡯ࠢߣߥߞߡ㧘ߘߩᓟߪᲑ㓏⊛ߦ❗ዊߣᑄᱛߦߥࠅ߹ߒߚ‫ޕ‬ቇౝߩࡀ࠶࠻ࡢ࡯ࠢߩ 6#+05 ߪ⒖ォߣหᤨߦ㧘⃻࿷ߩ 6#+05 ߣ߶߷หߓㆇ↪ᒻ
ᘒߩ 5WRGT6#+05 ߦಾࠅᦧࠊߞߚᤨᦼߢߒߚ‫ߣࠆߺߡߒ߁ߎޕ‬㧘 ᐕ೨ߪ㧘ᑪ‛ߩᣂ▽ߛߌߢߥߊ㧘ࠬࡄࠦࡦ߽ 6#+05 ߽ᄢ߈ߥォ឵ὐߛߞߚࠃ߁ߢߔ‫ޕ‬ᣂ᫟߇ㆇ↪ࠍᆎ߼ࠆ੹ᐕ߇ߤ߁޿߁ォ឵ὐߦߥࠆߩ
߆㧘ᭉߒߺߢߔ‫ޕ‬
㧔*5㧕

ᣂᐕ޽ߌ߹ߒߡ߅߼ߢߣ߁ߏߑ޿߹ߔ‫ޕ‬ᤓᐕߪ઄บᏒ᳃ߩᔨ㗿ߢߒߚ᧲ർᭉᄤࠧ࡯࡞࠺ࡦࠗ࡯ࠣ࡞ࠬ߇ᣣᧄ৻ߣߥࠅᭉᄤࡈࠔࡦߦߪᦨ㜞ߩ৻ᐕߛߞߚߩߢߪߥ޿ߢߒࠂ߁߆‫ߡߐޕ‬ᐔᚑ  ᐕߩ੹ᐕߪඦᐕߢߔ‫ޕ‬ඦߪᄥ㓁߇ᦨ߽㜞ߊ਄߇ߞߚ
⁁ᘒࠍ␜ߒ߹ߔ‫߅ޕ‬ᤤߩ  ᤨ߇‫ޡ‬ᱜඦ‫ߣޢ‬๭߫ࠇࠆߩߪߘߩߚ߼ߢߔ‫ޕ‬㗂ὐࠍ⴫ߒ㧘਄᣹ߒߡ޿ߚ߽
ߩ߇ਅ㒠ߦ㧘߹ߚ㧘ߘߩㅒ߽޽ࠆᄌേߩᤨᦼߢ߽޽ࠆߣ⸒ࠊࠇߡ޿߹ߔ‫ޕ‬ᤓᐕߪᭉᄤࠗ࡯ࠣ࡞ࠬ߇㗂
ὐࠍᭂ߼㊁⃿ߢ઄บ߇ᄢᄌ⋓ࠅ਄߇ࠅ߹ߒߚ߇㧘੹ᐕߪߤࠎߥ⚿ᨐߦߥࠆߩߢߒࠂ߁߆‫ߚ߹ޕ‬㧘ᤓᐕਇᧄᗧߥᚑ❣ߢ޽ߞߚࠨ࠶ࠞ࡯ߩࡌࠟ࡞࠲઄บߪᣂ⋙〈ࠍㄫ߃ߡ޿޿ᗧ๧ߢߩᄌ㕟ࠍ࠴࡯ࡓౝߦ߽ߚ
ࠄߒߡ޿ߚߛ߈㧘ఝൎࠍ⋡ᜰߒߡ㗎ᒛߞߡ߶ߒ޿ߣಾߦ㗿ߞߡ߅ࠅ߹ߔ‫ޕ‬ᧄ࠮ࡦ࠲࡯ߢ߽੹ᐕߪࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ߩᦝᣂ߿ߘࠇߦ઻߁ࠬࡄࠦࡦᣂ᫟ߩᑪ⸳ߥߤ߹ߐߦᄌ
േߩᐕߦߥࠅߘ߁ߥ൓޿ߢߔ‫ޕ‬‫⨹ޟ‬ඦߩ㄁ߪ೨߆ࠄ‫ߩߣޠ‬᡿੐ߩࠃ߁ߦᱜ㕙߆ࠄၴ‫઀ߣޘ‬੐ߦㆳㅴߒߚ
޿ߣᕁ޿߹ߔߩߢ㧘ߤ߁ߙࠃࠈߒߊ߅㗿޿޿ߚߒ߹ߔ‫ޕ‬㧔*6㧕







ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ࠬ࠲࠶ࡈォ౉࡮ォ಴ߩ߅⍮ࠄߖ㪲ォ౉㪴㩷  ౎Ꮞବテ㧔వ┵ᖱႎᛛⴚ⎇ⓥㇱ㧕Ꮏቇ⎇ⓥ⑼ࠃࠅ
=ォ಴?
  ᧄ㑆⚻ᐽ㧔వ┵ᖱႎᛛⴚ⎇ⓥㇱ㧕කቇ⎇ⓥ⑼࡮කቇㇱ߳
5'0#% ✬㓸ㇱળዊᨋᐢ᣿ ᦥᩮ⑲ᤘ ᳓ᧁᢘ᣿ ᓟ⮮⧷ᤘ ᳯᎹ㓉テ ૒⮮ᕺ⟤ሶᄢᴰஜᴦዊ㊁ᢅᢧ⮮ߊߺሶ   ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ᧄ㙚೨    ↹㕙ᚻ೨࠮ࡦ࠲࡯ᣂ᫟Ꮏ੐
↹㕙ᅏ ᢛ஻ਛߩ㕍⪲ጊᣂࠠࡖࡦࡄࠬᐔᚑ  ᐕ  ᦬⊒ⴕ✬㓸࡮⊒ⴕ ᧲ർᄢቇ      ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯      ઄บᏒ㕍⪲඙⨹Ꮞሼ㕍⪲       ㇷଢ⇟ภ ශ ೚   ഃᢥශ೚಴ ᩣᑼળ␠

                    ⚝  ᒁ
5'0#%8QN 0Q㨪0Q                        㨪
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Ꮞ㗡⸒
 ᐕ᧲ർᄢቇ෸߮ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯
߳ߩᦼᓙ          ㊁ญᱜ৻౒ห⎇ⓥᚑᨐ
࠳࠙ࡦࠬࠤ࡯࡞ࠪࡒࡘ࡟࡯࡚ࠪࡦߦ߅ߌࠆบ㘑ߩౣ⃻ᕈߦߟ޿ߡ     ự↰⌀ਯઁࡗࡑ࠮⎇ⓥߩߚ߼ߩౣ⸃ᨆ࡮᳇୥ࡕ࠺࡞࠺࡯࠲ߩ
࠳࠙ࡦࠬࠤ࡯࡝ࡦࠣ ፉ↰ᾖਭઁ%QPXGTIGPEG2TQRGTV[QH(NGZKDNG)/4'5HQTVJG
/GVJQFQH/QOGPVU$CUGFQPC8QNWOG5WTHCEG+PVGITCN'SWCVKQP*KFGVQUJK%JKDC ઁ$WKNFKPI%WDG/GVJQF ߦࠃࠆᄢⷙᮨᵹ૕⸃ᨆ࠺࡯
࠲ߩ࿶❗ᴺߩ㐿⊒ ဈ੗⃍ᄥ㇢ઁ⿥㜞ㅦ╙৻ේℂ㔚ሶ⁁ᘒ⸘▚ࠦ࡯࠼ߩ㐿⊒ߣᔕ↪
              ᩉỈ዁ઁ᦬ߣἫᤊߩో⃿࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ       ⼾࿖Ḯ⍮ઁ&%4( ࡂࠗࡉ࡝࠶࠼ᾲࡊ࡜࠭ࡑᵹߩ㕖ቯᏱ㧟ᰴరᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦ     ⨃↰ᱜ຦㒠⌕౞⋚ਛߢߩ⏛᳇ੂᵹ↢ᚑㆊ⒟ߦ㑐ߔࠆ⸘▚ᯏታ㛎   㥲๺ੱઁᢙ )*\ ߩ๟ᵄᢙᏪߦ߅ߌࠆ⽶ߩㅘ⏛₸ࠍ␜ߔ᭴ㅧߩ㐿⊒ߣߘߩᐢᏪၞൻߦ㑐ߔࠆ⎇ⓥ ᦭㚍ථมઁࡊ࡜࠭ࡕ࠾࠶ࠢ᭴ㅧ૕ߦࠃࠆశࠛࡀ࡞ࠡ࡯೑↪ߩല₸ൻ ጤ㐳␭િ⎇ⓥᚑᨐ⿥ᄢⷙᮨᢙ୯⸘▚ߦၮߠߊᩭⲢวἹవㅴࡉ࡜ࡦࠤ
࠶࠻࠺ࠩࠗࡦ᧦ઙߦ߅ߌࠆ㜞♖ᐲ /*& ᾲવ㆐࠺࡯
࠲ࡌ࡯ࠬߩ᭴▽        ጊᧄ⟵ᥰઁ
⾗ᢱ
(QTVTCP ࠬࡑ࡯࠻ࡊࡠࠣ࡜ࡒࡦࠣ
̆╙ ࿁߽ߞߣࠬࡑ࡯࠻ߥࡊࡠࠣ࡜ࡓߦߒࠃ߁̆
↰ญବᒄ
㜞ᯏ⢻ᢙ୯⸘▚࡮นⷞൻᯏ⢻࠰ࡈ࠻ /#6.#$ ߩၮᧄ⊛ߥ૶޿ᣇ  㒸࿖べઁ
ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓ
࡜ࠗࡉ࡜࡝࡮ࠕࡊ࡝ࠤ࡯࡚ࠪࡦߩ⚫੺ో࿖౒ห೑↪ᖱႎၮ⋚࠮ࡦ࠲࡯⎇ⓥ㐿⊒⺰ᢥ㓸
0Q ࠃࠅ᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߦ߅ߌࠆ
࡙࡯ࠩࠦ࡯࠼ߩ㜞ㅦൻᡰេᵴേ ૒‫ᧁޘ‬ᄢテઁࠠࡖࡦࡄࠬή✢ GFWTQCO ߩ⠴ἴኂᕈ࡮⠴㓚ኂᕈะ਄ߣ㜞ᯏ⢻ൻ ᓟ⮮⧷ᤘઁ߅⍮ࠄߖᐔᚑ  ᐕᐲࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯⻠⠌ળ᩺ౝ೑↪⽶ᜂ㊄ߩ୯ਅߍߣ೑↪⽶ᜂ㊄ഀᒁ೙ᐲߩታᣉ
ߦߟ޿ߡ
⚫੺
*2%+ ࠪࠬ࠹ࡓߣࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩឭଏ
⾗Ḯ⚫੺
ႎ๔
ᓟ⮮⧷ᤘಎᢎ᝼ߣᦥᩮ⑲ᤘᢎ᝼ߩ⎇ⓥࠣ࡞࡯ࡊ߇
ᄢቇ +%6 ផㅴද⼏ળ  ᐕᐲᐕᰴᄢળ࡮ఝ⑲⺰ᢥ⾨
ࠍฃ⾨ߒ߹ߒߚ
5% ႎ๔         ዊ᧻৻ᒾ
╙  ࿁㜞ᕈ⢻ࠪࡒࡘ࡟࡯࡚ࠪࡦߦ㑐ߔࠆࡢ࡯ࠢ
࡚ࠪ࠶ࡊ 9552 ႎ๔         ዊᨋᐢ᣿




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ᖱႎಣℂቇળో࿖ᄢળ㑐ㅪ⷗ቇ⠪ႎ๔
̆+'''%QORWVGT5QEKGV[ ળ㐳&CXKF#NCP)TKGT᳁‫ޔ‬๺↰⧷৻వ↢‫ޔ‬ᖱႎಣℂቇળ⷗ቇ࠷ࠕ࡯╬ߩ⊝ߐ߹ߦߏ᧪⸰޿ߚߛ߈߹ߒߚ̆
ቇ㓙ᄢⷙᮨᖱႎၮ⋚౒ห೑↪࡮౒ห⎇ⓥ᜚ὐ╙  ࿁ࠪࡦࡐࠫ࠙ࡓႎ๔     ᳯᎹ㓉テࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ࠝ࡯ࡊࡦࠠࡖࡦࡄ
ࠬႎ๔              ዊ᧻৻ᒾ
ᨋఝ৻ಎᢎ᝼‫ᧄޔ‬㑆ዏᢥಎᢎ᝼‫ޔ‬᳓ᧁᢘ᣿ಎ
ᢎ᝼‫ޔ‬㕍ᧁቁᢥᢎ᝼‫ᦥޔ‬ᩮ⑲ᤘᢎ᝼ߩ⎇ⓥࠣ ࡞࡯ࡊ߇ +''''/%+PVGTPCVKQPCN
 5[ORQUKWOQP'NGEVTQOCIPGVKE%QORCVKDKNKV[࡮$GUV5[ORQUKWO2CRGT#YCTF
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)NQDCN%QPHGTGPEGQP %QPUWOGT'NGEVTQPKEU )%%' ࡮'ZEGNNGPV2CRGT#YCTF ࠍฃ⾨ߒ߹ߒߚ
೑↪⋧⺣ቶଢࠅ
೑↪⋧⺣ߦߟ޿ߡ
࠹ࠢ࠾ࠞ࡞ࠕࠪࠬ࠲ࡦ࠻⥄Ꮖ⚫੺ዷ␜ቶଢࠅ
Ԟ࠮ࡦ࠲࡯ೀⴕ‛ԟࠬࠞ࡜ਗ೉ࠦࡦࡇࡘ࡯࠲
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⽶ᜂ㊄ߩᡰᛄ⾌⋡ߦߟ޿ߡ 0Q ೑↪⽶ᜂ㊄㧔 ᦬㨪 ᦬ಽ㧕ߩ⺧᳞ߦߟ޿ߡ

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東北大学サイバーサイエンスセンター
大規模科学計算システム広報

Vo.47 No.1 2014−1

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再生紙と大豆の油を主成分とした「ソイ･インキ」を使用しています。