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ᢙ୯࠲࡯ࡆࡦࠪࠬ࠹ࡓ㧔065㧕ߩᄢⷙᮨਗ೉⸘▚
ጊᧄᖗ 1‫ޔ‬ਃቛື 1‫ޔ‬ጟፒஜᔒ 1‫╣ޔ‬የᵏᵗ 21᧲ർᄢቇᄢቇ㒮ᖱႎ⑼ቇ⎇ⓥ⑼2Ꮲ੩ᄢቇℂᎿቇㇱ⥶ⓨቝቮᎿቇ⑼ࠟࠬ࠲࡯ࡆࡦߥࠄ߮ߦ⫳᳇࠲࡯ࡆࡦߩᄙᲑ⠢೉ࠍㅢࠆᾲᵹേࠍ߹ࠆߏߣᄢⷙᮨਗ೉⸘▚ߔࠆߚ߼ߦ
㐿⊒ߒߚᢙ୯࠲࡯ࡆࡦࠪࠬ࠹ࡓ㧔NTS㧕ߦߟ޿ߡߘߩ᭎⇛ࠍ⚫੺ߒ‫᧲ޔ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯SX-9 ਄ߢ MPI ߦၮߠߊਗ೉⸘▚ߦ߅ߌࠆਗ೉ಣℂല₸ࠍ▚಴ߒߚߩߢႎ๔ߔࠆ‫ࡆ࡯࠲ޔߦ․ޕ‬ࡦ߹ࠆߏߣࠍᗐቯߒߚᄢⷙᮨ⸘▚ߢߪ‫ޔ‬64 ࡊࡠ࠮ࠬߩ႐วߦߪ 1 ࡊࡠ࠮ࠬߦኻߒߡ⸘▚ᤨ㑆߇⚂45 ಽߩ 1 ߦߥࠆߣ޿߁⚿ᨐࠍᓧߚ‫ޕ‬㧚✜⸒ᦨᣂဳߩࠟࠬ࠲࡯ࡆࡦߥࠄ߮ߦ⫳᳇࠲࡯ࡆࡦߩ⸳⸘ߦߪᾲᵹേߩߺߥࠄߕ‫ޔ‬᭽‫ᧂߥޘ‬⍮ߩ⸃᳿ߔߴ߈໧㗴߇⴫㕙ൻߒߡ߅ࠅ‫ࠍࠄࠇߘޔ‬ᢙ୯⸘▚ߔࠆߚ߼ߦߪߘࠇߙࠇߩ‛ℂࠍᮨᡆߔࠆᢙℂࡕ࠺࡞߽ว
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 TurbineSystem‫ߡߒ⇛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 MeshTransformer(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೉ൻ߇ᣉߐࠇߚ‫ᧄޕ‬ႎ๔ߢߪએਅߦߘߩ⹦⚦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‫ޕ‬ᓟಣℂߦߟ޿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৻Ბ߇᭴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੤឵߇ᔅⷐߦߥࠆ‫ޕ‬੤឵ߩᣇᴺߦߪ‫ޔ‬ቯᏱᵹࠇࠍ઒ቯߒߡႺ⇇ߦ߅ߌࠆ‛ℂ㊂ࠍⓨ㑆ᐔဋߒߡฃߌᷰߔᣇᴺ‫ߘޔ‬ߒߡ㕖ቯᏱᵹࠇࠍ઒ቯߒߡ࿁ォߔࠆേ⠢೉ߩ⸘▚ᩰሶߣ㕒⠢೉ߩ⸘▚ᩰሶߣߩ㑆ߢ‛ℂ㊂ࠍ੤឵ߔࠆᣇᴺ߇޽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␜ߔࠃ߁ߥᵹ〝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 ‫ޔ‬mpisub_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 ⸘ ▚ ߔࠆMSC_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

0.71.1

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޿ߎߣ߆ࠄࠗࡦࡃ࡜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߼ࠆߎߣߦࠃࠅ‫ోޔ‬๟⸃ᨆߥߤߩᄢⷙᮨਗ೉⸘▚ߦ߅޿ߡ߽ᦝߦ㜞޿ਗ೉ಣℂല₸߇ᦼᓙߐࠇࠆ‫ޕ‬
Table 3 ⇣ߥࠆਗ೉ᢙߦ߅ߌࠆ⫳᳇࠲࡯ࡆࡦᄙᲑ㕒േ⠢೉ඨ๟⸘▚ߦⷐߒߚ⸘▚ᤨ㑆ਗ೉ࡊࡠ࠮ࠬᢙ

14

8

16

3264

⸘▚ᤨ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޿ࠆߎߣ߇ࠊ߆ࠆ‫ޕ‬ಝ❗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࡯࠽࡯᷵߿⠢ᓟᵹߩߔߴߡ߇ᐓᷤߒߥ߇ࠄਃᲑ⋡േ⠢೉߹ߢᵹࠇㄟࠎߢߊࠆߚ߼‫߇ࠄࠇߎޔ‬ḨࠅᐲߩಽᏓߦᓇ㗀ߒߚ⚿ᨐߢ޽ࠆߣ⠨߃ࠄࠇࠆ‫ޕ‬ታߪ‫ޔ‬Ḩࠅᐲ 4.8㧑ߪ⠢┵ㄭறߢᓧࠄࠇߡ߅ࠅ‫ޔ‬Ḩࠅᐲ߇ࠦ࡯࠽࡯᷵߿ᓟᵹߦࠃࠅ߆ߥࠅ஍࿷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  !"#$%&'⻢ㄉᧄ⎇ⓥߪ‫᧲ޔ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯߅ࠃ߮ NEC ߩో㕙⊛ߥᛛⴚදജ‫ߦ߮ࠄߥޔ‬ਃ⪉㊀Ꮏߣߩ౒ห⎇ⓥߦၮߠߊᡰេߩ߽ߣߢታᣉߐࠇ߹ߒߚ‫ߏޕ‬දജ㗂߈߹ߒߚ⊝᭽ߦኻߒෘߊᓮ␞↳ߒ਄ߍ߹ߔ‫ޕ‬ෳ⠨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.
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Journal, 32-8, 1598-1605, 1994.
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[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.