ÉÓÓÎ 0286-7419

ూԈ‫ޙ۾‬

ɿɮʚ˂ɿɮɲʽʃʅʽʉ˂
‫۾‬᛼ൌᇼ‫ޙ‬᜛አʁʃʐʪࢿ‫ڨ‬

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

ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓ㑐ㅪ᩺ౝ㧨ᄢⷙᮨ⑼ቇ⸘▚ࠪࠬ࠹ࡓ㑐ㅪᬺോߪ‫ᧄ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬㙚ౝߩᖱႎㇱᖱႎၮ⋚⺖߇ᜂᒰߒߡ޿߹ߔ‫ޕ‬㧪JVVRYYYUUKUEVQJQMWCELR㓏  ౒ห೑↪ᡰេଥ
(#:䋺
䋨ฃ㩷 ઃ䋩WMGVWMG"KUEVQJQMWCELR೑↪⋧⺣ቶ৻㓏ਥ䈭䉰䊷䊎䉴ౝኈ䉰䊷 䊎䉴ᤨ 㑆ᐔᣣ䉶䊮䉺䊷ᬺോో⥸䈮㑐䈜䉎ฃઃ⓹ญ䌾

㔚⹤⇟ภ䋨ౝ✢䋩 
GOCKNଥ䊶ቶฬ  
UQFCP"KUEVQJQMWCELR⸘▚ᯏ೑↪ో⥸䈮㑐䈜䉎⋧⺣䌾

  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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㓏

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

᦬ߣἫᤊߩో⃿࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ
⼾࿖Ḯ⍮ 1࡮┻ਛඳ჻ 2࡮⿬ᄢ㢈 1࡮⍹ේศ᣿ 3
1 ᧲ർᄢቇᄢቇ㒮 ℂቇ⎇ⓥ⑼ ࿾㔡࡮ྃἫ੍⍮⎇ⓥ᷹ⷰ࠮ࡦ࠲࡯
2 ጟጊᄢቇᄢቇ㒮 ⥄ὼ⑼ቇ⎇ⓥ⑼ ࿾⃿↢๮‛⾰⑼ቇኾ᡹
3 ↥ᬺᛛⴚ✚ว⎇ⓥᚲᖱႎᛛⴚ⎇ⓥㇱ㐷ࠫࠝࠗࡦࡈࠜࡑ࠹ࠖࠢࠬ⎇ⓥࠣ࡞࡯ࡊᚒ‫᧲ߪޘ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ࠪࠬ࠹ࡓ SX-9 ࠍ೑↪ߒ㧘ో࿾⃿ࠍኻ⽎ߣߒߚ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦߩࡊࡠࠣ࡜ࡓ㐿⊒ࠍⴕߞߡ߈ߚ㧚ᧄⓂߢߪߎߩ
ᚻᴺߦߟ޿ߡ᭎⇛ࠍ⚫੺ߒߚᓟ㧘ᐔᚑ 24 ᐕᐲߩ౒ห⎇ⓥ⺖㗴ߣߒߡ᦬ߣἫᤊߩో⃿࿾㔡ᵄવ᠞ࠍࠪࡒࡘ࡟࡯࡚ࠪࡦߒߚᚑᨐࠍႎ๔ߔࠆ㧚ਔᄤ૕ߢߪ߆ߟߡ࿾㔡᷹ⷰ߇ⴕࠊࠇߚ߽ߩߩ㧘ᣥᑼߩᯏེ߿ࡁࠗ࠭ߩᓇ㗀ߢ㧘ᄤ૕ᷓㇱߩ࿾㔡ᵄવ᠞ߦߪਇ᣿ߥὐ߇ᄙ޿㧚⃻࿷࿖ౝᄖߢ࿾㔡᷹ⷰߦၮߠ޿ߚਔᄤ૕ߩౝㇱ᭴ㅧតᩏ߇⸘↹ߐࠇߡ߅ࠅ㧘ᯏེߩ㐿⊒߿᷹ⷰὐߩㆬቯߦߟ޿ߡ㧘࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ߇ਈ߃ࠆᜰ㊎ߦᦼᓙ߇ነߖࠄࠇߡ޿ࠆ㧚1. ߪߓ߼ߦ
⥄ὼ⇇ߢ⊒↢ߔࠆ࿾㔡ߪ㧘ⶄ㔀ߥࡔࠞ࠾࠭ࡓࠍᜬߞߚ㔡Ḯ߆ࠄബ⿠ߐࠇ㧘ⶄ㔀ߢਇဋ⾰ߥ࿾⃿ߩਛࠍㅢࠅᛮߌߡ㧘ࠃ߁߿ߊ࿾㔡⸘ߢ᷹ⷰߐࠇࠆ㧚ࠃߞߡ᷹ⷰߢᓧࠄࠇߚ࿾㔡ᵄᒻߪⶄ㔀ߥᒻࠍߒߡ޿ࠆ㧚࿾㔡ᵄવ᠞ߪၮᧄ⊛ߦߪᒢᕈ૕ജቇߢ⸥ㅀߐࠇࠆߩߢ㧘⃻ታߦㄭ޿ⶄ㔀ߥ㔡Ḯ࡮᭴ㅧࡕ࠺࡞ߦߟ޿ߡᒢᕈᵄߩᡰ㈩ᣇ⒟ᑼࠍ⸃ߊߎߣ߇ߢ߈ࠇ߫㧘ⶄ㔀ߥᵄᒻ߽ౣ⃻น⢻ߢ޽ࠆ㧚ߒ߆ߒࡕ࠺࡞߇ⶄ㔀ߦߥࠆ߶ߤ⸘▚ߪ࿎㔍ߦߥࠆߩߢ㧘⃻࿷ߪᣇ⒟ᑼࠍࠦࡦࡇࡘ࡯࠲ߢᢙ୯⊛ߦ⸃ߊ㧘
ᢙ୯⸃ᴺ߇ᮡḰ⊛ߦ↪޿ࠄࠇߡ޿ࠆ㧚ᵄᒻ⸘▚ߪ㔡Ḯ࡮᭴ㅧࡕ࠺࡞ࠍᣢ⍮ߣߒߡ㧘ߘߩߣ߈ߤߩࠃ߁ߥᵄᒻ߇᷹ⷰߐࠇࠆߩ߆ࠍ੍᷹
ߔࠆᣇᴺߢ޽ࠆߚ߼㧘ࡕ࠺࡞ߣᵄᒻߣߩ࿃ᨐ㑐ଥ߇৻⋡⍎ὼߣߥࠆ㧚ߎࠇࠍㅒߦ೑↪ߔࠆߣ㧘᷹ⷰᵄᒻߣ㧘ᢙ୯⸘▚ߢᓧࠄࠇߚℂ⺰ᵄᒻߣࠍᲧセߒߡ㧘ߘߩᱷᏅ߇ዊߐߊߥࠆࠃ߁ߦࡕ࠺࡞ࠍୃ
ᱜߒߡ޿ߊߎߣߢ㧘㔡Ḯ߿࿾ਅ᭴ㅧࠍផቯߔࠆߎߣ߇ߢ߈ࠆ㧔㧩ᵄᒻࠗࡦࡃ࡯࡚ࠫࡦ㧕㧚࿾⃿⑼ቇ
ߩⓥᭂߩ⋡ᮡߩ৻ߟߪ㧘ᚒ‫⋥߇ޘ‬ធ⷗ࠆߎߣ߇ߢ߈ߥ޿࿾ਅ᭴ㅧࠍ⹦⚦ߦ᣿ࠄ߆ߦߔࠆߎߣߢ޽
ࠅ㧘ࠦࡦࡇࡘ࡯࠲ࠍ૶ߞߚᵄᒻ⸘▚ߪߘߩߚ߼ߩᱞེߣߥࠆ㧚ᢙ୯⸘▚ߣ৻ญߢ⸒ߞߡ߽㧘᭽‫ߥޘ‬ᚻᴺ߇ሽ࿷ߔࠆ㧚ᚻᴺߩಽ㘃ߩ਄ߢ㊀ⷐߥὐߦ㧘‫ޟ‬૗ᰴరߩ
ᇦ⾰ߦߟ޿ߡ㧘૗ᰴరߩᵄࠍ⸘▚ߔࠆ߆㧫‫ࠆ޽߇ߩ߽߁޿ߣޠ‬㧚⃻ታߩ࿾㔡ᵄߣหߓࠃ߁ߦ㧘3ᰴరߩ࿾⃿ࡕ࠺࡞ਛࠍવ᠞ߔࠆ 3 ᰴరߩᵄࠍࡈ࡞ߦ⸘▚ߔࠆᣇᴺߪ‫ޟ‬3 ᰴరࡕ࠺࡝ࡦࠣ‫ߣޠ‬๭߫ࠇࠆ㧚ߎࠇߪᦨ߽⃻ታߦㄭ޿ℂ⺰ᵄᒻ߇ᓧࠄࠇࠆ߇㧘⩨ᄢߥ⸘▚ᯏ⾗Ḯ㧔ࡔࡕ࡝ߣ⸘▚ᤨ㑆㧕ࠍᔅⷐߣߔࠆ㧚ߎࠇߦኻߒߡ㧘࿾ਅߩ 2 ᰴరᢿ㕙ߩߺߦ⌕⋡ߒߡ㧘ߘߩ㕙ౝࠍવࠊࠆ 2 ᰴరߩᵄߛ
ߌࠍ⸘▚ߔࠆᚻᴺߪ‫ޟ‬2 ᰴరࡕ࠺࡝ࡦࠣ‫ࠆ޽ߢޠ‬㧚ߎߩᚻᴺߪ⸘▚⾗Ḯ߇ዋߥߊߡߔ߻৻ᣇ㧘3ᰴరߩᵄ㕙ߩᐞ૗ቇ⊛ߥᐢ߇ࠅࠍᱜߒߊ⠨ᘦߢ߈ߥ޿ߖ޿ߢ㧘᷹ⷰᵄᒻߣ⋥ធᲧセ߇ߢ߈ߥ޿࠺
ࡔ࡝࠶࠻߇↢ߓࠆ[1]㧚
એ਄ߩࠃ߁ߥਔ⠪ߩ࠺ࡔ࡝࠶࠻ࠍస᦯ߔߴߊឭ᩺ߐࠇߚߩ߇㧘ᧄⓂߢ↪޿ࠆ‫ޟ‬ゲኻ⒓ 2.5 ᰴరࡕ࠺࡝ࡦࠣ‫ࠆ޽ߢޠ‬㧚ߎࠇߪ㔡Ḯࠍㅢࠆ㋦⋥ゲߩ๟ࠅߦゲኻ⒓ߥ᭴ㅧࠍ઒ቯߔࠆߎߣߢ㧘3 ᰴర⊛ߥⓨ㑆ߩᐢ߇ࠅߩലᨐࠍ 2 ᰴరᢿ㕙ߦ⪭ߣߒㄟࠎߛߩߜ㧘ߘߩᢿ㕙ౝߦ߅޿ߡ㧘㕙ౝㆇേ 2 ᚑಽߣ㧘㕙ᄖㆇേ 1 ᚑಽߩ㧘3 ᰴరߩᵄേવ᠞ࠍ⸘▚ߔࠆᣇᴺߢ㧘‫ޟ‬ᵄേ႐ 3 ᰴర㧘᭴ㅧ 2 ᰴర‫ߣޠ‬޿߁ᗧ๧ߢ‫ޟ‬2.5 ᰴర‫ߣޠ‬๭⒓ߐࠇࠆ㧚ߎߩᚻᴺߪ᭴ㅧᢿ㕙ߩߺߦߟ޿ߡ⸘▚ࠍⴕ߁ߎߣߢ⸘▚⾗Ḯߪ 2 ᰴరࡕ࠺࡝ࡦࠣਗߺߦ▵⚂ߢ߈㧘หᤨߦ 3 ᰴరߩ࿾㔡ᵄવ᠞ࠍᱜߒߊขࠅᛒ߃ࠆ㧚⃻࿷ߪ⸘▚ᯏᕈ⢻ߩㅴᱠߦࠃࠅ㧘10 ᐕ߶ߤ೨߹ߢߪਇน⢻ߛߞߚᄢⷙᮨ⸘▚߇ߤࠎߤࠎታ⃻ߒߡ޿ࠆ߇㧘ߘࠇߢ߽ 3 ᰴరࡕ࠺࡝ࡦࠣߢߪ 1 ࿁ߩ⸘▚߇߿ߞߣߢ޽ࠅ㧘ߘߩ 1 ਁ㨪10 ਁಽߩ 1 ߢ⸘▚  ࿑ 1㧦ㅢᏱߩ⃿ᐳᮡ㗔ၞ㧔a㧕ߣḰ⃿ᐳᮡ㗔ၞ㧔b㧕[9]㧚

߇ⴕ߃ࠆ 2.5 ᰴరࡕ࠺࡝ࡦࠣߪ㧘ଐὼߣߒߡ㝯ജ⊛ߥᚻᴺߢ޽ࠆ㧚ᢙ୯⸘▚ᚻᴺߩಽ㘃ߢ߽߁৻ߟ㊀ⷐߥὐߦ㧘㔌ᢔൻᚻᴺߩ㆑޿߇޽ࠆ㧚ⶄ㔀ߥਇဋ⾰ᇦ⾰ࠍ౉ജߒߚ⸘▚ߢߪ㧘⸘▚ߩኻ⽎ߣߔࠆోⓨ㑆࡮ᤨ㑆㗔ၞࠍ㔌ᢔൻߒߡ⸃ߊ႐ว߇߶ߣࠎߤߢ޽ࠆ߇㧘
㔌ᢔൻᚻᴺߩ㆑޿ߦࠃߞߡᏅಽᴺ㧘᦭㒢ⷐ⚛ᴺ㧘ᡆࠬࡍࠢ࠻࡞ᴺ㧘ߥߤ᭽‫ߦޘ‬ಽ㘃ߐࠇࠆ㧚ߎߩ
߁ߜᏅಽᴺߪ㧘ᡰ㈩ᣇ⒟ᑼߦ⃻ࠇࠆ஍ᓸಽࠍᏅಽߢㄭૃߔࠆ⸃ᴺߢ޽ࠅ㧘ࠦ࡯࠺ࠖࡦࠣ߇ኈᤃߢ
࿾㔡ᵄߩࠪࡒࡘ࡟࡯࡚ࠪࡦߢ᥉ㆉ⊛ߦ૶ࠊࠇߡ޿ࠆߩߢ㧘ᚒ‫߽ߢࡓ࡜ࠣࡠࡊߩޘ‬Ꮕಽᴺߦࠃࠆ㔌ᢔൻࠍណ↪ߒߡ޿ࠆ㧚

2. ࿾⃿ߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ
࿾⃿એᄖߩᄤ૕ߩ࿾㔡ߦߟ޿ߡㅀߴࠆ೨ߦ㧘ᧄ▵ߢߪᚻᴺߩ⚫੺ࠍ౗ߨߡ㧘ߎࠇ߹ߢߦᚒ‫߇ޘ‬ⴕߞߡ߈ߚో࿾⃿࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦߩ᭎⇛ࠍㅀߴߚ޿㧚ᚒ‫ߢ߹ࠇߎߪޘ‬㧘ో࿾⃿ࠍ࠲࡯ࠥ࠶࠻ߣߒߚ࿾㔡ᵄࠪࡒࡘ࡟࡯࡚ࠪࡦߩߚ߼ߦ㧘ゲኻ⒓ 2.5 ᰴరࡕ࠺࡝ࡦࠣࠍ↪޿ߚᵄᒻ⸘▚ࡊࡠࠣ࡜ࡓߩ㐿⊒ࠍⴕߞߡ߈ߚ㧚ߎߩࡊࡠࠣ࡜ࡓߢߪ㧘㔡Ḯߣ࿾⃿ਛᔃࠍ⚿߱ゲࠍ z ゲߣߒߚ⃿ᐳᮡ♽㧔r, T, I㧕ࠍቯ⟵ߒߡ㧘Iᣇะߦ᭴ㅧࡕ࠺࡞ߩゲኻ⒓ᕈࠍዉ
౉ߒߚ߁߃ߢ㧘ߘߩ 2 ᰴరᢿ㕙㧔r-Tᢿ㕙㧕ߦߟ޿ߡᒢᕈᵄߩᡰ㈩ᣇ⒟ᑼࠍ⸃ߊ㧚Ꮕಽᴺߣ 2.5 ᰴరࡕ࠺࡝ࡦࠣࠍ⚵ߺวࠊߖߚో࿾⃿࿾㔡ᵄࠪࡒࡘ࡟࡯࡚ࠪࡦߪ㧘90 ᐕઍඨ߫߆ࠄᦨㄭ߹ߢ㑆ᢿߥߊ೑↪ߐࠇߡ޿ࠆ߽ߩߩ[2-8]㧘ゲኻ⒓ߩ઒ቯߩߖ޿ߢ㧘ゲࠍ᜽ࠎߢ㕖ኻ⒓ߥ⃻ታ⊛ߥ᭴ㅧࠍᛒ߃
ߥ޿໧㗴߇ሽ࿷ߒߚ㧚㔡Ḯߦߟ޿ߡ߽㧘వⴕ⎇ⓥߢߪᩭ῜⊒ߩࠃ߁ߥゲኻ⒓ߥࡔࠞ࠾࠭ࡓࠍᜬߟ
㔡Ḯߛߌ߇↪޿ࠄࠇ㧘ᢿጀㆇേߩࠃ߁ߥ㕖ኻ⒓ߥ㔡Ḯߪขࠅᛒࠊࠇߡ޿ߥ߆ߞߚ㧚ട߃ߡ㧘⃿ᐳᮡ♽ࠍ↪޿ߚ⸃ᴺߢߪ㧘⃿ߩਛᔃ㧔r = 0㧕߇ᣇ⒟ᑼߩ․⇣ὐߣߥࠆߚ߼㧘ߎࠇࠍ࿁ㆱߔࠆᣇᴺ߇
ᔅⷐߦߥࠆ㧚వⴕ⎇ⓥߩਛߦߪ࿾㔡ᵄേ႐ࠍ㖸㗀႐ߢㄭૃߒߡ㧘࿾⃿ਛᔃࠍ฽߼ߡ⸘▚ࠍⴕߞߚ߽ߩ߇޽ࠆ߇[6]㧘P ᵄߣ S ᵄࠍ߹ߣ߽ߦ⸘▚ߒߚ଀ߪߥ޿㧚ߎߩࠃ߁ߦ⸘▚ߩല₸ᕈߣߪᒁ߈឵
߃ߦ㧘ᓥ᧪ߩゲኻ⒓ 2.5 ᰴరࡕ࠺࡝ࡦࠣߦߪᡷ⦟ߔߴ߈ὐ߽ᄙߊሽ࿷ߒߚ㧚ᚒ‫ߪޘ‬ㅢᏱߩ⃿ᐳᮡ㗔ၞߣᐳᮡゲߩขࠅᣇࠍᄌ߃ߚᣂߒ޿ᐳᮡ㗔ၞ‫ޟ‬Ḱ⃿ᐳᮡ㗔ၞ‫ࠍޠ‬ቯ⟵ߔࠆߎߣߢ㧘ᓥ᧪ߩᚻᴺߩᨒ⚵ߺߢછᗧߩ㕖ኻ⒓᭴ㅧࠍขࠅᛒ߁ߎߣߦᚑഞߒߚ[9]㧚ㅢᏱߩ⃿ᐳᮡ㗔ၞ㧔0 < r < , 0  T  S, S  I  S㧕ࠍ↪޿ࠆߣ㧘⃿ߩᄢ౞ߦᴪߞߚ᭴ㅧᢿ㕙ߪI= 0 ߣI= Sߦ
޽ࠆ 2 ᨎߩඨ౞᧼ߢ⴫ߐࠇࠆ㧚ߎߩߚ߼છᗧߩ᭴ㅧࡕ࠺࡞ࠍI= 0 ߩ㕙ߦ౉ജߔࠆߣ㧘ゲኻ⒓ᕈ㧚ߎࠇߦߦࠃߞߡI= Sߩ㕙ߦ߅ߌࠆ᭴ㅧߪI= 0 ߩ߽ߩߣኻ⒓ߦߥࠄߑࠆࠍᓧߥ߆ߞߚ㧔࿑ 1a㧕ኻߒߡḰ⃿ᐳᮡ㗔ၞ㧔0 < r < , S  T  S, S/2  I  S/2㧕ߢߪ㧘⃿ߩᄢ౞ߦᴪߞߚ᭴ㅧᢿ㕙ߪI=
0 ߦ߅ߌࠆ౞᧼ 1 ᨎߩߺߢ⴫ߐࠇ㧘ߎߩ㕙ߦߪછᗧߩਇဋ⾰᭴ㅧࡕ࠺࡞߇౉ജߢ߈ࠆ㧔࿑ 1b㧕㧚ᐳᮡゲߩขࠅᣇࠍᄌ߃ࠆߛߌߥߩߢ㧘ᓥ᧪ߩゲኻ⒓ࡕ࠺࡝ࡦࠣߩല₸ߩ⦟ߐߪߘߩ߹߹ߢ㧘㕖ኻ
⒓ߥ᭴ㅧࡕ࠺࡞߇ขࠅᛒ߃ࠆ㧚ߎߩࠃ߁ߦ⃻࿷ߩࡊࡠࠣ࡜ࡓߪゲኻ⒓ᕈߩ઒ቯߦࠃࠆ࠺ࡔ࡝࠶࠻
߆ࠄߪ⸃᡼ߐࠇߡ޿ࠆߩߢ㧘એ㒠ߢߪ‫ޟ‬ゲኻ⒓‫߁޿ߣޠ‬න⺆ࠍ↪޿ࠆߎߣࠍㆱߌ㧘ᧄᚻᴺࠍ‫⃿ޟ‬ᐳᮡ♽ 2.5 ᰴరᏅಽᴺ‫ߣޠ‬๭߱ߎߣߦߔࠆ㧚߹ߚછᗧߩ㕖ኻ⒓㔡Ḯࠍ 5 ⒳㘃ߩ㔡Ḯⷐ⚛ߦಽ⸃ߒߡ⸃ߊᚻᴺߦࠃࠅ㧘ᢿጀ߆ࠄബ⿠ߐࠇࠆ࿾
㔡ᵄߩࠪࡒࡘ࡟࡯࡚ࠪࡦ߽น⢻ߦߥߞߚ[10]㧚ߐࠄߦ㧘⸘▚♖ᐲࠍ㜞߼ࠆᇦ⾰ࡄ࡜ࡔ࡯࠲ߩዉ౉

 

!"#$%&'#() [11]㧘㔡Ḯࡔࠞ࠾࠭ࡓࠍ⠨ᘦߒߚ✢ᒻ⵬ቢߦࠃࠆ⃿ਛᔃߩ․⇣ὐ໧㗴ߩ࿁ㆱ㧘߅ࠃ߮ᇦ⾰ߩ‛ᕈ߇ቢోߥᒢᕈ૕߆ࠄߕࠇߡ޿ࠆߎߣߦࠃࠅ↢ߓࠆ࿾㔡ᵄߩᷫ⴮⃻⽎㧔㧩㕖ᒢᕈᷫ⴮㧕ߩዉ౉[12]߽ⴕ޿㧘⃻࿷ߩࡊࡠࠣ࡜ࡓߢߪᭂ߼ߡ⃻ታߦㄭ޿࿾㔡ᵄવ᠞ࠍࠪࡒࡘ࡟࡯࡚ࠪࡦߢ߈ࠆ㧚⃿ᐳᮡ♽ࠍ૶ߞߚ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦߢߪ㧘⃿ᐳᮡ♽ߦ߅ߌࠆᒢᕈᵄߩᡰ㈩ᣇ⒟ᑼ

ࠍ⸃ߊ㧚ߎߎߢ‫ᤨߪݐ‬㑆㧘ߩߪኒᐲ㧘ߣߣߤߪ࡜ࡔቯᢙ㧘‫ݒ‬௜ 㧘݂௜ 㧘ߪ௜௝ 㧘‫ܯ‬௜௝ ߪߘࠇߙࠇ☸ሶㅦᐲ㧘૕Ⓧ
ജ㧘ᔕജ࠹ࡦ࠰࡞㧘ࡕ࡯ࡔࡦ࠻࠹ࡦ࠰࡞ߩᚑಽߢ޽ࠆ㧔݅ǡ ݆ ‫ א‬ሼǡ Ʌǡ Ԅሽ㧕㧚ߎߩᣇ⒟ᑼࠍᏅಽᴺߢ⸃
ߊ㓙ߦ↪޿ࠆᩰሶ㈩⟎ߩᮨᑼ࿑ࠍ࿑ 2 ߦ␜ߔ㧚ᶧ૕ࠍ฽߻ᇦ⾰ߢ߽቟ቯߦ⸘▚ߢ߈ࠆࠃ߁㧘☸ሶㅦᐲߣᔕജߩ೎‫ߩޘ‬ᩰሶߦ㈩⟎ߐࠇࠆ‫࠼࡯ࠟ࠲ࠬޟ‬ᩰሶ‫ࠍޠ‬ណ↪ߒߚ㧚߹ߚ⃿ᐳᮡ♽ߢߪ⃿ߩਛᔃ߳ㄭߠߊ߶ߤTᣇะߩᩰሶ㑆㓒߇⁜ߊߥߞߡߒ߹߁ߩߢ㧘ᩰሶࠨࠗ࠭߇⇣ߥࠆⶄᢙߩᩰሶࠍ rᣇะߦធ⛯ߒ㧘ਛᔃ߆ࠄ⴫㕙߹ߢ߶߷৻ቯߩᩰሶ㑆㓒ߦ଻ߟࠃ߁ߦߒߡ޿ࠆ[12]㧚
 ࿑ 3 ߪ 2009 ᐕ 11 ᦬ 9 ᣣߦࡈࠖࠫ࡯ߢ⊒↢ߒߚ࿾㔡㧔Mw 7.3, 㔡Ḯߩᷓߐ 604 km㧕ߦߟ޿ߡ㧘3 ߟߩ᷹ⷰὐߢ⸥㍳ߐࠇߚ᷹ⷰ
ᵄᒻߣ㧘⃿ᐳᮡ♽ 2.5 ᰴరᏅಽᴺߦࠃࠆℂ⺰ᵄᒻߣࠍᲧセߒߚ⚿ᨐߢ޽ࠆ㧚ߎࠇߪᷫ⴮᭴ㅧࠍ฽߻⃿ኻ⒓࿾⃿ࡕ࠺࡞ PREM[13]ࠍ౉ജߒߚ㐳๟ᦼ࿾㔡ᵄ㧔㔡Ḯᤨ㑆㑐ᢙߩࡄ࡞ࠬ᏷ 30 s㧕ߩ⸘▚⚿ᨐߢ޽ࠆ߇㧘㔡Ḯ߆ࠄߩᣇ૏࡮〒㔌߇⇣ߥࠆ 3 ᷹ⷰὐߔߴߡ
ߢ㧘਄ਅേ࡮ධർേ࡮᧲⷏േߩ 3 ᚑಽߩᵄᒻ߇ࠃߊ৻⥌ߒߡ޿ࠆߎߣ߇ࠊ߆ࠆ㧚ߎߩࠃ߁ߦᧄᚻᴺࠍ↪޿ࠆߣ㧘ዋߥ޿⸘▚ᯏ⾗Ḯߢ㧘♖ᐲ߇⦟ߊ㧘ታ㓙ߩ᷹ⷰᵄᒻߣ⋥ធᲧセน⢻ߥℂ⺰ᵄᒻࠍᓧࠆߎߣ߇ߢ߈ࠆ
[14]㧚



࿑ 2㧦⸘▚ߢ↪޿ߚᏅಽᩰሶߩᮨᑼ࿑㧚㤥߇☸ሶㅦᐲ㧘⊕߇ᔕജߩᩰሶࠍ⴫ߔ㧚 ࿑ 3㧦⃿ᐳᮡ♽ 2.5 ᰴరᏅಽᴺߦࠃࠆ࿾⃿ߩℂ⺰࿾㔡ᵄᒻ㧔⿒✢㧕ߣ᷹ⷰᵄᒻ㧔㤥✢㧕ߩᲧセ[14]㧚3 ᷹ⷰὐߘࠇߙࠇߢ਄ਅേ࡮ධർേ࡮᧲⷏േߩ 3 ᚑಽࠍᲧセ㧚㔡Ḯߩ૏⟎࡮ࡔࠞ࠾࠭ࡓ
ߣ᷹ⷰὐ૏⟎ߪᏀ਄ߩ࿾࿑ߦ␜ߒߚ㧚ߔߴߡߩᵄᒻߦ 1/30 Hz ߩࡠ࡯ࡄࠬࡈࠖ࡞࠲࡯ࠍㆡ↪㧚

3. ᦬ߣἫᤊߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ ᧄ▵ߢߪᐔᚑ 24 ᐕᐲߩ౒ห⎇ⓥߩ⺖㗴ߣߒߡⴕߞߚ㧘⃿ᐳᮡ♽ 2.5 ᰴరᏅಽᴺߦࠃࠆ᦬ߣἫᤊ
ߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦߩᚑᨐߦߟ޿ߡㅀߴࠆ㧚᦬ߪ࿾⃿એᄖߢ໑৻㧘ା㗬ߩ߅ߌࠆ࿾㔡᷹ⷰ߇ⴕࠊࠇߚᄤ૕ߢ޽ࠅ㧘ࠕࡐࡠ⸘↹ߢ⸳⟎ߐࠇߚ
4 ὐߩ࿾㔡⸘ߦࠃߞߡ㧘1969 ᐕ߆ࠄ⿷߆ߌ 9 ᐕߢ 12558 ୘ߩ᦬ߩ࿾㔡㧔᦬㔡㧕߇⸥㍳ߐࠇߡ޿ࠆ㧚ߎࠇࠄߩࠗࡌࡦ࠻ߪ㧘⊒↢႐ᚲ߿⊒↢ⷐ࿃ߩ㆑޿ߢ 5 ⒳㘃ߦᄢ೎ߐࠇߡ޿ࠆ[15]㧚ߎߩ߁ߜᦨ߽หቯᢙ߇ᄙ޿‫ޟ‬ᷓ⊒᦬㔡‫ߪޠ‬㧘᦬ඨᓘߩඨಽ⒟ᐲߣ޿߁㕖Ᏹߦᷓ޿ߣߎࠈߢ⊒↢ߔࠆ M 1㨪
2 ⒟ᐲߩ᦬㔡ߢ㧘7245 ୘ߩࠗࡌࡦ࠻߇หቯߐࠇߡ޿ࠆ[16]㧚ߎࠇࠄߪ߶߷᳿߹ߞߚ႐ᚲߢ➅ࠅ㄰ߒ⿠߈ߡ޿ࠆߎߣ߆ࠄ㧘࿾⃿߿ᄥ㓁ߩầ᳤ജߢ᦬߇ᄌᒻߔࠆ㓙ߦ㧘ᢿጀ߇േ޿ߡ⊒↢ߔࠆ᦬㔡ߣ⠨߃ࠄࠇߡ޿ࠆ[17]㧚৻ᣇ‫ޟ‬ᵻ⊒᦬㔡‫ߪޠ‬㧘᦬㕙ઃㄭߩᲧセ⊛ᵻ޿႐ᚲߢ⊒↢ߔࠆ M 3㨪4 ⒟ᐲ
ߩ᦬㔡ߢ㧘หቯᢙ߇ 28 ୘ߣዋߥ޿ߚ߼⹦⚦ߪਇ᣿ߢ޽ࠆ߇㧘ᢿጀㆇേߦࠃࠆ࠹ࠢ࠻࠾࠶ࠢߥ࿾
㔡ߣ⠨߃ࠄࠇߡ޿ࠆ[18]㧚ߎࠇࠄߩ᦬㔡ߩ P ᵄ࡮S ᵄߩ⿛ᤨ࠺࡯࠲߆ࠄߪ㧘᭽‫ ߥޘ‬1 ᰴర᦬ౝㇱ᭴ㅧࡕ࠺࡞߇᭴▽ߐࠇߡ޿ࠆ[19-21]㧚߹ߚᦨㄭߢߪ㧘࿾㔡ᵄ࠻ࡕࠣ࡜ࡈࠖߦࠃߞߡ᦬ࡑࡦ࠻࡞ߩ
3 ᰴర࿾㔡ᵄㅦᐲ᭴ㅧࡕ࠺࡞߽᭴▽ߐࠇߡ޿ࠆ[22-24]㧚ߒ߆ߒᒰᤨߩ࿾㔡⸘ߪ๟ᵄᢙᏪၞ߇㒢ࠄࠇߡ޿ߚߎߣ߿㧘᦬ߩ࿾㔡ߩථ⿧๟ᵄᢙ߇࿾㔡⸘ߩ๟ᵄᢙᏪၞߣวߞߡ޿ߥ߆ߞߚߎߣ╬ߩℂ↱߆ࠄ㧘᷹ⷰᵄᒻߪ᦬㕙ઃㄭߢߩᒝ޿ᢔੂߩᓇ㗀ࠍฃߌߚ߽ߩߒ߆ߥߊ㧘᦬ౝㇱߩታ૕ᵄવ᠞ߩ⹦
⚦ߪଐὼߣߒߡਇ᣿ߢ޽ࠆ㧚 ৻ᣇἫᤊߢߪ㧘ࡃࠗࠠࡦࠣ 2 ภߦࠃߞߡ 1976 ᐕߦ 5 ߆᦬㑆࿾㔡᷹ⷰ߇ߥߐࠇߚ߽ߩߩ㧘Ἣᤊ⴫㕙ߩ㘑߇ᒝ޿ࡁࠗ࠭Ḯߣߥࠅ㧘⥄ὼ࿾㔡ߣᕁࠊࠇࠆࠗࡌࡦ࠻ࠍ 1 ߟ᷹ⷰߒߚߩߺߢ޽ߞߚ[25]㧚
ߚߛㄭᐕߪἫᤊ⴫㕙ߩ㜞⸃௝ᐲ↹௝⸃ᨆߦࠃߞߡ㧘ᦨㄭേ޿ߚߣᕁࠊࠇࠆᢿጀ࿾ᒻ߇ᄙᢙ⊒⷗ߐࠇߡ߅ࠅ[26]㧘Ἣ㔡ߩ㔡Ḯࡔࠞ࠾࠭ࡓ߿࿾㔡ᵴേᐲߩផቯ߽ⴕࠊࠇߡ޿ࠆ[27]㧚߹ߚἫᤊ㓓⍹ߩ⚵ᚑ߿ᘠᕈࡕ࡯ࡔࡦ࠻࡮㊀ജಽᏓߥߤߩ㑆ធ⊛ߥᖱႎࠍ↪޿ߡ᭴▽ߐࠇߚౝㇱ᭴ㅧࡕ࠺࡞߽ሽ࿷
ߔࠆ[28]㧚

 

!"#$%&'($)*

 

࿑ 4㧦ᧄⓂߩ⸘▚ߢ↪޿ߚ㧔a㧕᦬[21]࡮
㧔b㧕Ἣᤊ[28]࡮㧔c㧕࿾⃿[13]ߩ 1 ᰴరౝㇱ᭴ㅧࡕ࠺࡞㧚⿒✢㧘㕍✢㧘✛✢ߪߘࠇߙࠇ P ᵄㅦᐲ㧘S ᵄㅦᐲ㧘ኒᐲࠍ⴫ߔ㧚Ἣᤊߩࡕ࠺࡞ߪ㧘ࡕ࠺࡞ A㧔ታ✢㧕ߣ B㧔ὐ✢㧕ߩ 2 ⒳㘃߇ሽ࿷ߔࠆ㧚 ⃻࿷㧘᦬߿Ἣᤊߩᰴᦼ࿾㔡តᩏ⸘↹߇ฦ࿖ߢㅴ߼ࠄࠇߡ߅ࠅ㧘ߘࠇߙࠇߩᄤ૕ߩᵄേ႐ߩ․ᓽ
ࠍ〯߹߃ߚ࿾㔡⸘ߩ㐿⊒߇ᕆോߢ޽ࠆ㧚߹ߚ᷹ⷰน⢻ߥታ૕ᵄߩࡈࠚ࡯࠭ࠍ․ቯߒ㧘ല₸⊛ߦ᷹ⷰὐࠍ㈩⟎ߔࠆߎߣ߽ᦸ߹ࠇࠆ㧚ࠕࡐࡠ⸘↹߿ࡃࠗࠠࡦࠣ 2 ภߦࠃࠆ᷹ⷰ࠺࡯࠲ࠍ⵬ቢߒ㧘ᄤ૕ᷓㇱ߹ߢߩ࿾㔡ᵄવ᠞ߩ᭽ሶࠍᛠីߔࠆߦߪ㧘ࠪࡒࡘ࡟࡯࡚ࠪࡦ߇ᦨㆡߢ޽ࠆ㧚੹࿁ߪᚒ‫߇ޘ‬㐿⊒ࠍⴕߞߡ߈ߚ⃿ᐳᮡ♽ 2.5 ᰴరᏅಽᴺߩࡊࡠࠣ࡜ࡓߦ㧘ᣢሽߩ᦬ߣἫᤊߩౝㇱ᭴ㅧࡕ࠺࡞ߣ◲නߥ㔡Ḯࡕ࠺࡞ࠍ౉ജߒߡ㧘ਔᄤ૕ߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦࠍⴕߞߚ㧚ᧄⓂߩ⸘▚ߢ↪޿ߚ᦬࡮Ἣᤊ࡮࿾⃿ߩ 1 ᰴర᭴ㅧࡕ࠺࡞ߪ࿑ 4 ߦ␜ߒߡ޿ࠆ㧚᦬ߩࡕ࠺࡞ߪᢥ₂[21]ߦࠃࠆ߇㧘ᩭߩ࿾㔡ᵄㅦᐲߪਈ߃ࠄࠇߡ޿ߥ޿ߩߢ㧘ࡑࡦ࠻࡞ᦨਅㇱߩㅦᐲࠍᑧ㐳ߒߡ૞ᚑߒߚ㧚߹ߚἫᤊߩ
ࡕ࠺࡞ߪ㧘㓓⍹⚵ᚑߣᘠᕈࡕ࡯ࡔࡦ࠻ߩታ᷹୯ࠍߘࠇߙࠇᦨ߽⦟ߊ⺑᣿ߢ߈ࠆ 2 ⒳㘃ߩࡕ࠺࡞(ࡕ࠺࡞ A ߣ B)߇ሽ࿷ߔࠆ[28]㧚


3.1 ᦬ߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ
੹࿁ߪ㧘
㧔1㧕ᷓ⊒᦬㔡ߣᵻ⊒᦬㔡ߦࠃࠆ࿾㔡ᵄᒻߩ㆑޿㧘߅ࠃ߮㧔2㧕᦬ߩ 1 ᰴరౝㇱ᭴ㅧࡕ
࠺࡞ߣ 3 ᰴర࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞ߦࠃࠆ࿾㔡ᵄᒻߩ㆑޿㧘ࠍ⺞ߴࠆߚ߼ߦࠪࡒࡘ࡟࡯࡚ࠪࡦࠍታ
ⴕߒߚ㧚⸘▚ߪ 0 km  r  1738 km㧔᦬㕙㧕㧘S  T  Sߩ▸࿐ࠍ㧘⚂ 320 ਁὐߩⓨ㑆ᩰሶὐߦಽ
ഀߒߡⴕߞߚ㧚ⓨ㑆ᩰሶ㑆㓒ߪ⚂ 2 km ߢ޽ࠆ㧚ᤨ㑆ೞߺߪ 0.0125 s ߣߒ㧘ࡄ࡞ࠬ᏷ 15 s ߩᵄࠍ㔡Ḯߦ౉ജߒߡ㧘㋦⋥ߕࠇဳ㔡Ḯߦߟ޿ߡബ⿠ᓟ 1250 s ߹ߢ⸘▚ߒߚ㧚㔡Ḯߪᷓ⊒᦬㔡ߩ႐ว r= 738 km㧔ᷓߐ 1000 km㧕
㧘T = 0㧘ᵻ⊒᦬㔡ߩ႐ว r = 1638 km㧔ᷓߐ 100 km㧕
㧘T = 0ߦ⟎޿
ߚ㧚





 ࿑ 5㧦ᷓ⊒᦬㔡㧔a㧕ߣᵻ⊒᦬㔡㧔b㧕ߩℂ⺰࿾㔡ᵄᒻ㧚㔡ᄩ〒㔌⚂ 1°߅߈ߦᵄᒻࠍ❑ߦਗߴߡ⴫␜ߒߚ㧚ฦࡄࡀ࡞ߩ਄ㇱߦ P ᵄߣ S ᵄߩ೔⌕ࠍ␜ߒߡ޿ࠆ㧚ߔߴߡߩᵄᒻߦ 1/15 Hz ߩࡠ࡯ࡄࠬࡈࠖ࡞࠲࡯ࠍㆡ↪㧚࿑ 6㧦ᷓ⊒᦬㔡㧔a㧕ߣᵻ⊒᦬㔡㧔b㧕ߩ᦬ᢿ㕙ߦ߅ߌࠆ࿾㔡ᵄવ᠞ߩࠬ࠽࠶ࡊ࡚ࠪ
࠶࠻㧚ബ⿠ᓟ 100 s ߣ 750 sߢߩ☸ሶㅦᐲߩ r ᚑಽߩᝄ᏷ࠍ␜ߒߡ޿ࠆ㧚⿒⦡ߪᱜ㧘㕍⦡ߪ⽶ߩᝄ᏷ࠍ⴫ߔ㧚㔡Ḯߪᤊශ㧚߹ߕ㧔1㧕ߩ⚿ᨐࠍ␜ߔ㧚࿑ 5 ߪ㧘1 ᰴరౝㇱ᭴ㅧࡕ࠺࡞ࠍ↪޿ߡ⸘▚ߒߚᷓ⊒᦬㔡ߣᵻ⊒᦬㔡ߩℂ⺰ᵄᒻߢ޽ࠆ㧚઒ᗐ⊛ߥ᷹ⷰὐࠍ㧘㔡ᄩ〒㔌 10°߆ࠄ 90°߹ߢ⚂ 1°߅߈ߦ╬㑆㓒ߢ᦬㕙਄ߦ㈩⟎ߒ㧘❑ゲᣇะߦਗߴߡ޿ࠆ㧚ᷓ⊒᦬㔡ߩ႐วߪ P ᵄߣ S ᵄߩ┙ߜ਄߇ࠅ߇᣿⍎ߢ㧘ᵄᒻ߽ࠦࡦࡄࠢ࠻ߦ߹ߣ߹ߞߡ޿ࠆߩߦኻߒߡ㧘ᵻ⊒᦬㔡ߩ႐วߪ┙ߜ਄߇ࠅ߇ਇ᣿⍎ߢ㧘ᵄ߇ߥ߆ߥ߆
ᷫ⴮ߒߥ޿ߚ߼ߦᓟ⛯ᵄ߇㕖Ᏹߦ㐳ᤨ㑆⛯޿ߡ޿ࠆߎߣ߇ࠊ߆ࠆ㧚᦬ߩ࿾Ზߪ࿾㔡ᵄㅦᐲ߇⪺ߒߊዊߐ޿ߚ߼㧘㔡Ḯ߇ᵻ޿߶ߤ࿾Ზౝㇱߦᵄ߇࠻࡜࠶ࡊߐࠇ㧘ᄙ㊀෻኿ࠍ➅ࠅ㄰ߒߚ⚿ᨐ㧘㐳ᤨ㑆ߩᝄേ߇↢ߓߚߣ⠨߃ࠄࠇࠆ㧚ߎߩߣ߈ߩ᦬ᢿ㕙ߦ߅ߌࠆ࿾㔡ᵄવ᠞ߩࠬ࠽࠶ࡊ࡚ࠪ࠶࠻ߪ࿑
6 ߦ␜ߒߚ㧚ᵻ⊒᦬㔡ߢߪ㧘᦬㕙ઃㄭߢ↢ߓߚ S ᵄߩ․ᓽ⊛ߥᄙ㊀෻኿߇㧘᦬ᷓㇱ߹ߢવ᠞ߒߡ
޿ߊ᭽ሶ߇⷗ߡขࠇࠆ㧚ࠕࡐࡠ᦬㔡⸘ߦࠃࠆᵄᒻߪ 0.1㨪10 Hz ߩ⍴๟ᦼᏪߢߩ᷹ⷰߢ޽ࠆ߇㧘 

!"#$%&'#()

 

࿑ 7㧦Ꮐ㧦⸘▚ߦ↪޿ߚ࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞ߩᢿ㕙[23]㧚଀ߣߒߡ S ᵄㅦᐲ᭴ㅧᢿ㕙ࠍ␜ߒߚ㧚㕍⦡߇㜞ㅦᐲ㧘⿒⦡߇ૐㅦᐲ㗔ၞ㧚ᄥ✢ㇱಽߩ᦬㕙ߦ߅ߌࠆ૏⟎ߪᏀਅߩࡄࡀ࡞ߦ⴫␜㧚㔡Ḯߪᤊශ㧘᷹ⷰὐߪㅒਃⷺᒻ㧘ࠕࡐࡠ᦬㔡⸘ߩ૏⟎ߪᱜਃⷺᒻ㧚ฝ㧦࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞㧔⿒✢㧕
ߣ 1 ᰴరࡕ࠺࡞㧔㤥ὐ✢㧕ߦࠃࠆᵻ⊒᦬㔡ߩℂ⺰ᵄᒻ㧚Ꮐ࿑ߦ␜ߒߚ 3 ᷹ⷰὐߢߩᵄᒻࠍ⴫␜㧚੹࿁ߩᵻ⊒࿾㔡ߩ⸘▚⚿ᨐߣห᭽ߥᵄᒻߩ․ᓽ߇⷗ࠄࠇࠆ㧚⍴๟ᦼߩ႐วߪ㧘᦬㕙ઃㄭߢߩ࿾㔡ᵄߩᢔੂߩᓇ㗀߇ᒝߊߥࠅ㧘ߐࠄߦ㐳ᤨ㑆ߩᝄേ߇↢ߓࠆ߇㧘๟ᦼ 15 s ߣ޿߁㐳๟ᦼߢ߽㘃ૃߒ
ߚ․ᓽ߇ౣ⃻ߢ߈ߚߎߣߪ⥝๧ᷓߊ㧘ᧄࠪࡒࡘ࡟࡯࡚ࠪࡦߪ᷹ⷰ߇ߥߐࠇߡ޿ߥ޿㐳๟ᦼ஥ߩ᦬
㔡ߩ․ᓽࠍ⵬߁߽ߩߣᦼᓙߢ߈ࠆ㧚 ᰴߦ㧔2㧕ߩ⚿ᨐࠍ␜ߔ㧚࿑ 7 ߪ㧘੹࿁⸘▚ߦ↪޿ߚ࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞ߩ଀㧘߅ࠃ߮ 1 ᰴరࡕ࠺࡞ߣ࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞ߦࠃࠆᵻ⊒᦬㔡ߩᵄᒻᲧセߢ޽ࠆ㧚࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞ߪ᦬ߩ⿒㆏ߦᴪߞߚᢿ㕙ࠍណ↪ߒߚ[23]㧚࿑ 7 ߢߪ଀ߣߒߡ S ᵄㅦᐲ᭴ㅧᢿ㕙ߩߺࠍ␜ߒߡ޿ࠆ㧚᷹ⷰᵄᒻߪ㔡ᄩ〒㔌 40°㧘50°㧘60°ߩ 3 ὐߢ⴫␜ߒߚ㧚㔡Ḯㄭறߦ S ᵄㅦᐲ߇ૐ޿㗔ၞ߇޽ࠆߚ߼㧘࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞ߦࠃࠆ S ᵄೋേߪ✚ߓߡㆃࠇߡ೔⌕ߒߡ޿ࠆ߇㧘᷹ⷰὐ⋥ਅߩ S ᵄㅦᐲ߇㜞޿ߖ޿ߢ㧘ᄙ㊀෻኿ࠍ➅ࠅ㄰ߒߚᓟ⛯ᵄߪ૏⋧߇ᚯߞߡ޿ߊ᭽ሶ߇⷗ߡขࠇࠆ㧚ߎߩࠃ߁ߦ⚦߆ߥ㆑޿ߪ⷗ࠄࠇࠆ߇㧘੹࿁ߪ㐳๟ᦼߢ⸘▚ߒߚߩߢᵄᒻߩ․ᓽ߇ᄢ߈ߊᄌࠊࠆߎߣߪߥ߆ߞߚ㧚࠻ࡕࠣ࡜ࡈࠖࡕ࠺࡞ߦࠃࠆ⍴๟ᦼℂ⺰ᵄᒻߩวᚑߪ㧘੹ᓟߩ MPI ਗ೉⸘▚ߢఝవߒߡขࠅ⚵ߺߚ޿ߣ⠨߃ߡ޿ࠆ㧚

3.2 Ἣᤊߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ
⃻࿷ឭ໒ߐࠇߡ޿ࠆἫᤊߩ 1 ᰴరౝㇱ᭴ㅧࡕ࠺࡞ߦߪ㧘࿑ 4 ߦ␜ߒߚࡕ࠺࡞ A ߣ B ߩ 2 ⒳㘃߇޽ࠆ㧚߹ߚἫᤊ⴫㕙ߩ㊀ജ࠺࡯࠲ߣ࿾ᒻ߆ࠄ㧘‛ᕈ߇ဋ৻ߥ࿾Ზߣࡑࡦ࠻࡞ߩ 2 ጀ᭴ㅧࠍ઒ቯ
ߒߡࡕࡎ㕙ಽᏓ߇ផቯߢ߈ࠆ㧚੹࿁ߩࠪࡒࡘ࡟࡯࡚ࠪࡦߢߪ㧘
㧔1㧕ࡕ࠺࡞ A ߣ B ߦࠃࠆ࿾㔡ᵄᒻߩ㆑޿㧘߅ࠃ߮㧔2㧕ਇဋ৻ࡕࡎ㕙ᒻ⁁ࠍ⠨ᘦߒߚ႐วߩ࿾㔡ᵄવ᠞ߩᄌൻ㧘ࠍ⺞ߴࠆߎߣࠍ࠲
࡯ࠥ࠶࠻ߣߒߚ㧚⸘▚ߪ 0 km  r  3390km㧔Ἣᤊ⴫㕙㧕㧘S  T  Sߩ▸࿐ࠍ㧘⚂ 544 ਁὐߩⓨ㑆ᩰሶὐߦಽഀߒߡⴕߞߚ㧚ⓨ㑆ᩰሶ㑆㓒ߪ⚂ 2 km ߢ޽ࠆ㧚ᤨ㑆ೞߺߪ 0.025 s ߣߒ㧘ࡄ࡞ࠬ
᏷ 30 s ߩᵄࠍ㔡Ḯߦ౉ജߒߡ㧘㋦⋥ߕࠇဳ㔡Ḯߦߟ޿ߡബ⿠ᓟ 5000 s ߹ߢ⸘▚ߒߚ㧚㔡Ḯߪ r =3360 km㧔ᷓߐ 30 km㧕
㧘T =0ߦ⟎޿ߚ㧚࿑ 8 ߦ੹࿁૞ᚑߒߚࡕࡎ㕙ᒻ⁁ࡕ࠺࡞ߣ㧘⸘▚ߦ૶↪
ߒߚᢿ㕙ߩ૏⟎ࠍ␜ߒߡ޿ࠆ㧚ࡕࡎ㕙ᒻ⁁ࡕ࠺࡞ࠍ↪޿ߚ⸘▚ߢߪ㧘ࡕ࠺࡞ A ߩ࿾Ზㇱಽࠍਇဋ৻࿾Ზෘߢ⟎߈឵߃ߡታⴕߒߚ㧚Ἣᤊ⴫㕙ߩ࿾ᒻ⸃ᨆ߆ࠄᦨ߽࿾㔡ᵴേᐲ߇㜞޿ߣផቯߐࠇߡ޿
ࠆ࿾ၞߦ㔡Ḯࠍ⟎߈㧘࿾Ზ߇ᦨ߽⭯ߊߥࠆࡋ࡜ࠬᐔේࠍㅢࠆᢿ㕙ࠍㆬࠎߛ㧚 ࿑ 9 ߦ 2 ⒳㘃ߩ 1 ᰴర᭴ㅧࡕ࠺࡞ߣ㧘ਇဋ৻ࡕࡎ㕙ᒻ⁁ࡕ࠺࡞ߦࠃࠆἫᤊᢿ㕙ߦ߅ߌࠆ࿾㔡ᵄ  ࿑ 8㧦Ꮐ㧦੹࿁૞ᚑߒߚࡕࡎ㕙ᒻ⁁ಽᏓ㧚㤥✢ߪ⸘▚ߦ૶↪ߒߚᢿ㕙ߣἫᤊ⴫㕙ߣߩ੤✢ࠍ␜ߔ㧚ᤊශ߇㔡Ḯ㧚ฝ㧦⸘▚ߦ૶↪ߒߚᢿ㕙ߦᴪߞߚࡕࡎ㕙ߩᷓߐᄌൻ㧚વ᠞ߩࠬ࠽࠶ࡊ࡚ࠪ࠶࠻ࠍ␜ߔ㧚੹࿁ߪ๟ᦼ 30 s ߣ޿߁㐳๟ᦼߩᵄࠍ౉ജߒߡ޿ࠆߚ߼㧘ബ⿠ᓟ
1200 s ߢߪᄢ߈ߥ㆑޿ߪ⷗ࠄࠇߥ޿߇㧘ࡑࡦ࠻࡞߇⭯޿ࡕ࠺࡞ B ߢߪ㧘ᩭ-ࡑࡦ࠻࡞Ⴚ⇇߆ࠄߩ෻኿ᵄ߇ࡕ࠺࡞ A ࠃࠅ߽ᣧߊ೔⌕ߒߡ޿ࠆ᭽ሶ߇ࠊ߆ࠆ㧚2400 s ߢߪἫᤊ⴫㕙ߦᴪߞߡ㔡Ḯߩ෻ኻ஥߹ߢ⴫㕙ᵄ߇વ᠞ߒߡ޿ࠆ㧚ࡕ࠺࡞ A ߢߪ㐳〒㔌ߦਗ਼ߞߡᝄ᏷߇ᒝ޿㗔ၞ߇⛯ߊߩߦኻߒ㧘ࡕ࠺࡞ B ߢߪᲧセ⊛ࠦࡦࡄࠢ࠻ߦ߹ߣ߹ߞߡ޿ࠆߩߪ㧘ࡕ࠺࡞ A ߦᲧߴߡࡕ࠺࡞ B ߩ࿾Ზ߇ 3
ᄙ㊀෻኿߇⿠߈ߦߊߊߥߞߚߚ߼ߣᕁࠊࠇࠆ㧚߹ߚࡕࡎ㕙ᒻ⁁ࠍ౉ࠇߚ⸘▚ߢߪ㧘୚ෘ޿ߖ޿ߢ㧘⚦߆ߥ࿾ᒻߩᓇ㗀ߪ㗼⪺ߦ⷗ࠄࠇߥ޿߽ߩߩ㧘ബ⿠ᓟ 2400 s ߢߪࡕ࠺࡞ A ߣᲧセߒߡ᣿ࠄ߆ߦ
⴫㕙ᵄߩ㓸ਛ߇⿠߈ߡ޿ࠆ㧚ߎࠇࠄߩ⸘▚ࠍߐࠄߦ⍴๟ᦼ߹ߢታⴕߔࠇ߫㧘ߤߩࠃ߁ߥᵄߩࡈࠚ
࡯࠭ߦౝㇱ᭴ㅧߩ㆑޿߇ᒝߊᓇ㗀ߔࠆ߆⺞ߴࠆߎߣ߇ߢ߈㧘ዋߥ޿᷹ⷰὐߢౝㇱ᭴ㅧࠍ⺞ߴࠆ㓙ߩᜰ㊎ࠍਈ߃ࠆߎߣ߇ߢ߈ࠆߣ⠨߃ࠄࠇࠆ㧚࿑ 9㧦
㧔a㧕ࡕ࠺࡞ A㧘㧔b㧕ࡕ࠺࡞ B㧘߅ࠃ߮㧔c㧕ਇဋ৻࿾Ზෘࡕ࠺࡞ࠍ↪޿ߡ⸘▚ߒߚἫᤊᢿ
㕙ߦ߅ߌࠆ࿾㔡ᵄવ᠞ߩࠬ࠽࠶ࡊ࡚ࠪ࠶࠻㧚ബ⿠ᓟ 1200 s ߣ 2400 s ߢߩ☸ሶㅦᐲߩ r ᚑಽߩᝄ᏷ࠍ␜ߔ㧚⿒⦡ߪᱜ㧘㕍⦡ߪ⽶ߩᝄ᏷ࠍ⴫ߔ㧚㔡Ḯߪᤊශ㧚 

!"#$%&'($)*

 ࿑ 10㧦᦬࡮Ἣᤊ࡮࿾⃿ߩ࿾㔡ᵄવ᠞ߩᲧセ㧚ᷓߐ 30 km ߦᮮߕࠇဳ㔡Ḯࠍ⟎޿ߡ⸘▚㧚㔡Ḯߢബ⿠ߐࠇࠆᵄߩࡄ࡞ࠬ᏷ߪ 30 s㧚ബ⿠ᓟ 600 s ߣ 1800 s ߢߩ☸ሶㅦᐲߩ r ᚑಽߩࠬ࠽࠶ࡊ
࡚ࠪ࠶࠻ࠍ␜ߒߚ㧚⿒⦡ߪᱜ㧘㕍⦡ߪ⽶ߩᝄ᏷ࠍ⴫ߔ㧚㔡Ḯߪᤊශ㧚 

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

3.3 ᦬࡮Ἣᤊ࡮࿾⃿ߩ࿾㔡ᵄવ᠞Ყセᦨᓟߦ᦬࡮Ἣᤊ࡮࿾⃿ߩ࿾㔡ᵄવ᠞ߩ㆑޿߇ࠊ߆ࠅ߿ߔ޿ࠃ߁㧘3 ᄤ૕ߩหߓᷓߐߦ㧘หߓࡔࠞ࠾࠭ࡓߩ㔡Ḯࠍ౉ࠇߡࠪࡒࡘ࡟࡯࡚ࠪࡦߒߚ⚿ᨐࠍ⚫੺ߔࠆ㧚㔡Ḯߪᷓߐ 30 km ߦ⟎߈㧘ࡔࠞ࠾࠭ࡓߪࡇࡘࠕߥᮮߕࠇဳߣߒߚ㧚߹ߚ㔡Ḯ߆ࠄബ⿠ߐࠇࠆᵄߩࡄ࡞ࠬ᏷߽ 30 s ߢ⛔৻ߒߚ㧚᭴ㅧࡕ࠺࡞ߪߔߴߡ 1 ᰴరߢ޽ࠆ㧚Ἣᤊߩ᭴ㅧߪࡕ࠺࡞ A ࠍណ↪ߒߚ㧚ߎߩ⸘▚ߩᩰሶᢙ߿ࡔࡕ࡝
╬ߪᰴ▵ߩ⴫ 1 ࠍෳᾖߐࠇߚ޿㧚࿑ 10 ߪ 3 ᄤ૕ߩᢿ㕙ߦ߅ߌࠆ㧘ബ⿠ᓟ 600 s ߣ 1800 s ߩ࿾㔡ᵄવ᠞ߩࠬ࠽࠶ࡊ࡚ࠪ࠶࠻ߢ޽
ࠆ㧚ᄤ૕ߩᄢ߈ߐߦࠃࠆ࿾㔡ᵄવ᠞ߩ㆑޿ࠍ⷗߿ߔߊߔࠆߚ߼㧘3 ᄤ૕ߪหߓ❗ዤߢឬ޿ߡ޿ࠆ㧚Ἣᤊߪ࿾⃿ߩ⚂ 1/2㧘᦬ߪ 1/4 ߩᄢ߈ߐߒ߆ߥ޿ߚ߼㧘᦬ߢߪബ⿠ᓟ 600 s ߢᣢߦ㔡Ḯߩ෻ኻ஥߹
ߢᵄ߇೔⌕ߒߡ޿ࠆ㧚߹ߚ᦬ߩ࿾Ზߦ߅ߌࠆᄙ㊀෻኿ߦࠃߞߡ㧘ᵄ߇޿ߟ߹ߢ߽㔡Ḯઃㄭߦ⇐߹ߞߡ޿ࠆ᭽ሶ߇ࠊ߆ࠆ㧚1800 s ߢߪ㧘Ἣᤊߢ߽ᄢᝄ᏷ߩᵄ߇㔡Ḯߩ෻ኻߦ೔⌕ߒߡ޿ࠆߩߦኻߒ㧘࿾⃿ߢߪᝄ᏷ߩዊߐ޿ P ᵄ߇೔⌕ߒߚ߫߆ࠅߢ޽ࠆ㧚߹ߚ᦬ߢߪਛᔃઃㄭ߹ߢᄢᝄ᏷ߩᵄ߇વ᠞
ߒߡ޿ࠆ㧚࿾㔡ᵄߪવ᠞〒㔌߇㐳ߊߥࠆ߶ߤᷫ⴮ߒߡ޿ߊߩߢ㧘࿾⃿ߦᲧߴߡዊߐ޿᦬߿Ἣᤊߢ
ߪ㧘࿾㔡ᵄ߇ᄢᝄ᏷ࠍ଻ߞߡᄤ૕ߩⵣ஥߹ߢવ᠞ߔࠆ㧚ߒߚ߇ߞߡ࿾㔡ߩⷙᮨ߇หߓ႐วߪ㧘᦬߿Ἣᤊߩᣇ߇᷹ⷰน⢻ߥ࿾ၞ߇ᐢ޿߁߃㧘ᄤ૕ᷓㇱࠍㅢㆊߒߡ߈ߚᵄࠍ᷹ⷰߒ߿ߔ޿ߣ⸒߃ࠆ㧚

4. SX-9 ߩ೑↪
 ᧄⓂ╙ 3 ▵ߢ⚫੺ߒߚࠪࡒࡘ࡟࡯࡚ࠪࡦߪ㧘ߔߴߡ᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩࡌ
ࠢ࠻࡞ဳ SX-9㧔ᣣᧄ㔚᳇ᩣᑼળ␠㧔એਅ NEC㧕⵾㧕ࠍ↪޿ߡታⴕߒߚ㧚⸘▚ᯏߩ೑↪ߦ޽ߚߞߡߪ㧘ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߣ NEC ߩ౒ห⎇ⓥߢࡊࡠࠣ࡜ࡓߩᕈ⢻ಽᨆࠍⴕ޿㧘ߘߩ⚿ᨐߦၮߠ޿ߡ࠴ࡘ࡯࠾ࡦࠣࠍᣉߒߚ㧚࠰࡯ࠬࠦ࡯࠼ߪ Fortran90 ߢ⸥ㅀߒߡ߅ࠅ㧘ⴕᢙߪ⚂ 18000
ߢ޽ࠆ㧚NEC ߦ߅޿ߡᚻേߦࠃࠆ࡞࡯ࡊዷ㐿߿ࡌࠢ࠻࡞ൻᜰ␜ⴕߩᝌ౉㧘Ṷ▚߿ࡈࠔࠗ࡞಴ജ
ߩ⚦߆ߥᦨㆡൻ╬ߩ࠴ࡘ࡯࠾ࡦࠣࠍᣉߒߚ⚿ᨐ㧘1CPU ታⴕߢ⚂ 60 ୚ߩ⸘▚ㅦᐲะ਄ߦᚑഞߒ
ߚ㧚߹ߚ⥄േਗ೉ൻߦࠃࠆᕈ⢻᷹ቯ㧔ࠦࡦࡄࠗ࡞ࠝࡊ࡚ࠪࡦ“-R2 -f3 -Ep -pi -Pauto-Wf,-pvctl fullmsg”㧕ߩ⚿ᨐ㧘8CPU ߢ 4.4 ୚㧘16CPU ߢ 5.8 ୚ߩㅦᐲะ਄ࠍ⷗ߚ㧚 ᧄⓂ╙ 3.3 ▵ߩ 3 ᄤ૕ߩࠪࡒࡘ࡟࡯࡚ࠪࡦߪ㧘࡚ࠫࡉࠢ࡜ࠬ p8 ߢ 8CPU ࠍ↪޿ߚ⥄േਗ೉Ṷ▚ߢታⴕߒߚ㧚ࠦࡦࡄࠗ࡞ࠝࡊ࡚ࠪࡦߪ਄⸥ߩᕈ⢻᷹ቯߩᤨߣห৻ߢ޽ࠆ㧚3 ᄤ૕ߘࠇߙࠇߩ⸘
▚ߦ߅ߌࠆࡔࡕ࡝࡮ታⴕᤨ㑆࡮MFLOPS ୯ߪ⴫ 1 ߦ␜ߒߚ㧚⴫ 1㧦╙ 3.3 ▵ߩ⸘▚⻉రࡄ࡞ࠬ᏷ (s)

ⓨ㑆ᩰሶᢙ

ᤨ㑆ᩰሶᢙ

ࡔࡕ࡝ (GB)ታⴕᤨ㑆 (s)MFLOPS ୯᦬

30

03201546

40000002.304

18785

07780

Ἣᤊ

30

05442720

20000003.520

22290

05642

࿾⃿

30

10835200

20000010.176

12632

20446



5. ߹ߣ߼
 ᧄⓂߢߪᐔᚑ 24 ᐕᐲߩ౒ห⎇ⓥߩᚑᨐߣߒߡ㧘᦬ߣἫᤊߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦߩᚑ
ᨐࠍႎ๔ߒߚ㧚SX-9 ߩ࡚ࠫࡉࠢ࡜ࠬ p8 ߦࠃࠆ⥄േਗ೉Ṷ▚ߢ㧘᦬ߢߪ๟ᦼ 15 s㧘Ἣᤊߢߪ๟ᦼ
30 s ߹ߢߩ࿾㔡ᵄવ᠞⸘▚߇ታ⃻ߢ߈ߚ㧚࿾⃿ౝㇱߩ࿾㔡ᵄવ᠞ߦߟ޿ߡߩᚒ‫ߩޘ‬ℂ⸃ߪ㧘᷹ⷰ
ߣℂ⺰ߩ⋧⵬⊛ߥㅴᱠߦࠃߞߡ⊒ዷߒߡ߈ߚᱧผ߇޽ࠆ㧚᦬ߣἫᤊߪ޿ߕࠇ߽ౝㇱ᭴ㅧࡕ࠺࡞ߣ
㔡Ḯߦ㑐ߔࠆᖱႎ߇ਈ߃ࠄࠇߡ߅ࠅ㧘੹߹ߐߦℂ⺰ᵄᒻ⸘▚ߢᵄേવ៝ߦ㑐ߔࠆℂ⸃ࠍᷓ߼ࠆᲑ
㓏ߦ౉ߞߡ޿ࠆ㧚ᧄ౒ห⎇ⓥߩᚑᨐߪ㧘ߘߩ┵✜ࠍ㐿ߊ߽ߩߢ޽ࠆ㧚ߥ߅੹࿁ߪ 15 s㧘30 s ߣ޿ߞߚ㐳๟ᦼߩ࿾㔡ᵄવ᠞ࠍࠪࡒࡘ࡟࡯࡚ࠪࡦߒߚ㧚ߐࠄߦ⃻ታ⊛ߥࠪࡒࡘ࡟࡯࡚ࠪࡦࠍⴕ߁ߚ߼ߦߪ㧘๟ᦼ 1 s ࠍ⋡ᮡߦ㧘ߢ߈ࠆߛߌ⍴๟ᦼߦㄭߠߌߡ޿ߊᔅⷐ߇
޽ࠆ㧚ߒ߆ߒ๟ᦼࠍ 1/2 ߦߔࠆߣ㧘r ᣇะߣTᣇะߩⓨ㑆ᩰሶ㑆㓒㧘߅ࠃ߮ᤨ㑆ᩰሶ㑆㓒ࠍߔߴߡ 

!"#$%&'#()

1/2 ߦߒߥߌࠇ߫ߥࠄߥ޿ߩߢ㧘ࡔࡕ࡝ߪ 4 ୚㧘⸘▚ᤨ㑆ߪ 8 ୚ᔅⷐߣߥࠆ㧚ᓥߞߡ⍴๟ᦼߩࠪࡒࡘ࡟࡯࡚ࠪࡦߢߪࡊࡠࠣ࡜ࡓߩ MPI ൻ߇ᔅ㗇ߢ޽ࠆ㧚⃻࿷ߪᧄ౒ห⎇ⓥߦࠃߞߡࡊࡠࠣ࡜ࡓ
ߩ MPI ൻ߽⚳ࠊࠅ㧘๟ᦼ 8 s ߢߩἫᤊߩ࿾㔡ᵄવ᠞ࠪࡒࡘ࡟࡯࡚ࠪࡦ߇ᚑഞߒߡ޿ࠆ㧚MPI ࠍ↪޿ߚࠪࡒࡘ࡟࡯࡚ࠪࡦߦߟ޿ߡߪ㧘߹ߚ೎ߩᯏળߦ⚫੺ߔࠆߎߣߦߒߚ޿㧚⻢ㄉ ᧄⓂߩ⎇ⓥᚑᨐߪ㧘᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߣᣣᧄ㔚᳇ᩣᑼળ␠ߩࠬ࠲࠶ࡈ
ߩᣇ‫ߏߩޘ‬ഥജߢᚑߒᓧߚ߽ߩߢ޽ࠆ㧚ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩዊᨋᐢ᣿࠮ࡦ࠲࡯㐳㧘ᳯᎹ㓉テಎᢎ᝼㧘ዊ᧻৻ᒾഥᢎ㧘ᄢᴰஜᴦ᳁㧘ጊਅᲞ᳁ߦߪ㧘ᧄ౒ห⎇ⓥߩᯏળࠍ߅ਈ߃޿
ߚߛ޿ߚ਄㧘ࡊࡠࠣ࡜ࡓ㐿⊒߿ࠪࠬ࠹ࡓ೑↪ߦߟ޿ߡ᭽‫ߏߥޘ‬ഥ⸒࡮ߏഥജࠍ޿ߚߛ޿ߚ㧚ᣣᧄ㔚᳇ᩣᑼળ␠ߩ᠜૒ᤘ⵨ඳ჻㧘ᵻ⷗ᥙ᳁㧘ᷰㇱୃ᳁㧘ߘߩઁߩࠬ࠲࠶ࡈߩᣇ‫ߪޘ‬㧘ࡊࡠࠣ࡜ࡓߩ࠴ࡘ࡯࠾ࡦࠣߣ MPI ൻࠍታᣉߒߡਅߐࠅ㧘2012 ᐕ 4 ᦬ 11 ᣣ㧘7 ᦬ 4 ᣣ㧘10 ᦬ 10
ᣣ㧘2013 ᐕ 4 ᦬ 3 ᣣ㧘߅ࠃ߮ 6 ᦬ 14 ᣣߩ 5 ࿁ߦࠊߚߞߡ㐿߆ࠇߚႎ๔ળߢߏႎ๔ਅߐߞߚ㧚߹ߚ E ࡔ࡯࡞ߦࠃࠆ⾰໧ߦ߽Ᏹߦᙣಾৼካߥߏ࿁╵ࠍਅߐߞߚ㧚⁛┙ⴕ᡽ᴺੱ㒐ἴ⑼ቇᛛⴚ
⎇ⓥᚲߩⒷᵤᄢ␭ඳ჻ߦߪ㧘SX-9 ߩ೑↪ࠍ߅൘߼޿ߚߛ߈㧘ࠪࠬ࠹ࡓ೑↪ߦߟ޿ߡ߽޽ࠄࠁ
ࠆ⋧⺣ߦਸ਼ߞߡ޿ߚߛ޿ߚ㧚⸥ߒߡᗵ⻢ߔࠆ㧚ෳ⠨ᢥ₂[1] ┻ਛඳ჻, ਇᢛᒻ࿾⋚ߦ߅ߌࠆᵄേવ᠞ߩᢙ୯⸘▚ᴺ, ࿾㔡╙ 2 ポ, 46, 191-205, 1993.
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 





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&%4( ࡂࠗࡉ࡝࠶࠼ᾲࡊ࡜࠭ࡑᵹߩ㕖ቯᏱ㧟ᰴరᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦ⨃↰ ᱜ຦᧲ർᄢቇᄢቇ㒮Ꮏቇ⎇ⓥ⑼ᯏ᪾ࠪࠬ࠹ࡓ࠺ࠩࠗࡦᎿቇኾ᡹

ᧄⓂߢߪ‫ޔ‬ᾲᵹേ႐ߣ⺃ዉ㔚⏛႐ߩ⋧੕૞↪ࠍ⠨ᘦߒߚ DC–RF ࡂࠗࡉ࡝࠶࠼ᾲࡊ࡜࠭ࡑᵹߩ
㕖ቯᏱ㧟ᰴరᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦߦߟ޿ߡㅀߴࠆ‫ߚ߹ޕ‬ᾲࡊ࡜࠭ࡑߣૐ᷷ᵹ૕߇౒ሽߔࠆ㧟ᰴర⊛ߥᾲᵹേ႐߿ࠦࡅ࡯࡟ࡦ࠻᭴ㅧ㧔᷵᭴ㅧ㧕ߣ޿ߞߚᧄࠪࡒࡘ࡟࡯࡚ࠪࡦߦࠃࠅᓧࠄࠇߚᣂߚ
ߥ⍮⷗ࠍ⚫੺ߔࠆ‫ޕ‬

1. ✜⸒
 DC–RF ࡂࠗࡉ࡝࠶࠼ᾲࡊ࡜࠭ࡑᵹߣߪ‫ޔ‬ᄢ᳇࿶ਅߦ߅޿ߡ⋥ᵹ㧔Direct current; DC㧕᡼㔚ߦࠃࠆ㕖⒖ⴕᑼࠕ࡯ࠢࡊ࡜࠭ࡑࠫࠚ࠶࠻ߣ㜞๟ᵄ㧔Radio frequency; RF㧕᡼㔚ߦࠃࠆ⺃ዉ⚿วࡊ࡜࠭ࡑࠍ⚵ߺวࠊߖߚ㜞ࠛࡦ࠲࡞ࡇ࡯ߩࡊ࡜࠭ࡑᵹ [1]ߢ޽ࠆ‫ߩߎޕ‬᡼㔚ᒻᑼߦࠃߞߡ↢ᚑ࡮⛽ᜬߐࠇࠆࡊ࡜࠭ࡑᾲᵹേߩᎿቇ⊛ᔕ↪߳ߩᦼᓙߪᄢ߈ߊ‫☸ࡁ࠽ߢ߹ࠇߎޔ‬ሶߩᄢ㊂ഃ⵾ࡊࡠ࠮ࠬ[1][2][3]߿ࡑࠗࠢࡠ☸ሶ⟲ߩ㜞ㅦ⃿⁁ൻࡊࡠ࠮ࠬ[4]ߥߤߦ೑↪ߐࠇߡ߈ߚ‫ޔࠄ߇ߥߒ߆ߒޕ‬ᾲࡊ࡜࠭ࡑᵹ
ߪ 10,000 K ࠍ⿥߃ࠆ㜞᷷ߣᒝ޿⊒శࠍ઻߁ᵹ૕ߢ޽ࠆߚ߼‫ޔ‬ታ㛎⸘᷹ߪ㔍ߒߊ‫ޔ‬ᄢዊ᭽‫ࠬߥޘ‬ࠤ࡯࡞ߩ᷵ߦࠃߞߡ᭴ᚑߐࠇߡ޿ࠆߘߩᾲᵹേ႐ߦ㑐ߔࠆ⍮⷗ߪฦ⒳ࡊࡠ࠮ࠬߩല₸⊛ߥ೙ᓮߩߚ߼ߦᔅⷐਇนᰳߢ޽ࠆߦ߽㑐ࠊࠄߕ‫ޔ‬ଐὼߣߒߡਲߒ޿ߩ߇⃻⁁ߢ޽ࠆ[5]‫ࠇߘޕ‬᡿ߦᢙ୯ࠪࡒ
ࡘ࡟࡯࡚ࠪࡦߦࠃࠆ⃻⽎⸃᣿ߦᦼᓙ߇ነߖࠄࠇߡ޿ࠆ߽ߩߩ‫ޔ‬ᾲࡊ࡜࠭ࡑᵹߩᢙ୯⸘▚ߪ෼᧤⸃ࠍᓧࠆߚ߼ߦߒ߫ߒ߫ᄙᄢߥࠆഭജࠍᔅⷐߣߔࠆߚ߼㧔ᰴ▵ෳᾖ㧕‫࠼࠶࡝ࡉࠗࡂߦ․ޔ‬ᾲࡊ࡜࠭ࡑ
ᵹߦߟ޿ߡߪቯᏱ⁁ᘒ߅ࠃ߮ゲኻ⒓㧞ᰴరࠍ઒ቯߒߚ߽ߩ߇ᢙ଀ [1][2][6] ႎ๔ߐࠇߡ޿ࠆߩ
ߺߢ޽ߞߚ‫ޕ‬ ߘߎߢᧄ⎇ⓥߢߪ‫ࡑ࠭࡜ࡊ࠼࠶࡝ࡉࠗࡂޔ‬࠻࡯࠴ౝߦ߅ߌࠆᾲࡊ࡜࠭ࡑߣૐ᷷ᵹ૕߇౒
ሽߔࠆᵹേ႐߅ࠃ߮㧟ᰴర⊛ߥࠦࡅ࡯࡟ࡦ࠻
᭴ㅧߩേ⊛᜼േࠍ᣿ࠄ߆ߦߔࠆߎߣߢᾲࡊ࡜
࠭ࡑߩᵹേ⃻⽎ߦ㑐ߔࠆᣂߚߥ⍮⷗ࠍᓧࠆߎ
ߣࠍ⋡⊛ߣߒߡ‫ޔ‬ᾲᵹേ႐ߣ⺃ዉ㔚⏛႐ߩ⋧੕૞↪ࠍ⠨ᘦߒߚ DC–RF ࡂࠗࡉ࡝࠶࠼ᾲࡊ
࡜࠭ࡑᵹߩ㕖ቯᏱ㧟ᰴరᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪ
ࡦࠍ⹜ߺߚ[7]‫ޕ‬

2. ⸘▚ᣇᴺ ㅢᏱߩ↢ᚑ࡮⛽ᜬ᧦ઙߦ߅޿ߡ‫ޔ‬ᾲࡊ࡜࠭ࡑᵹߩ࿶ജߪᄢ᳇࿶ߣห⒟ᐲߢ޽ࠆ‫ࠬࠟޕ‬⒳ߦࠕ࡞ࠧࡦࠍ↪޿ࠆߣߔࠇ߫ࡊ࡜࠭ࡑࠍ฽߻
ᵹ૕ోၞߦࠊߚߞߡዪᚲᾲᐔⴧ߇ᚑࠅ┙ߜ‫ޔ‬߹ߚశቇ⊛ߦ⭯޿ߣ઒ቯߢ߈ࠆ‫ߦࠄߐޕ‬ᄌ૏㔚ᵹ߽ήⷞߔࠆߎߣ߇ߢ߈ࠆ‫⾰߈ߣߩߎޕ‬࿑䋱㩷 DC–RF 䊊䉟䊑䊥䉾䊄ᾲ䊒䊤䉵䊙䊃䊷䉼㩷 
㊂࡮ㆇേ㊂࡮ࠛࡀ࡞ࠡ࡯ߦ㑐ߔࠆ଻ሽᣇ⒟ᑼ‫⺃߮ࠃ߅ޔ‬ዉ㔚⏛႐ߦኻߔࠆ Maxwell ߩᣇ⒟ᑼ߇ᡰ
㈩ᣇ⒟ᑼߣߥࠆ‫⎇ᧄޕ‬ⓥߢߪ‫ޔ‬ᵹേ⃻⽎ߩ࠳ࠗ࠽ࡒࠢࠬࠍᝒ߃ࠆߚ߼ߦ Large Eddy Simulation(LES) ߦၮߠ޿ߡᢙ୯⸘▚ࠍ⹜ߺࠆ߇‫ߩߘޔ‬㓙 10,000 K ࠍ⿥߃ࠆ㜞᷷ߩࡊ࡜࠭ࡑ㗔ၞߣ 300 Kߩૐ᷷ࠟࠬᵹ߇⋧੕૞↪ߒߥ߇ࠄหᤨߦሽ࿷ߔࠆᵹേ႐ࠍขࠅᛒࠊߥߌࠇ߫ߥࠄߥ޿‫ޕ‬ਔ⠪ߩ㑆ߦߪ☼ᕈ࡮ᾲવዉ₸࡮ቯ࿶Ყᾲ࡮ዉ㔚₸ߣ޿ߞߚ‛ᕈ୯ߦᄢ߈ߥᏅ߇޽ࠅ‫▚⸘ޔ‬㗔ၞߩਛߦዪᚲ
⊛ߦૐ Reynolds ᢙ㗔ၞߣ㜞 Reynolds ᢙ㗔ၞ߇౒ሽߔࠆߎߣߦߥࠆ‫ੂߜࠊߥߔޕ‬ᵹ⊛ߥ㗔ၞߣጀᵹ⊛ߥ㗔ၞࠍหᤨߦ⸘▚ߔࠆᔅⷐ߇޽ࠆ‫ࡅࠦߡ޿߅ߦ࡞࡯ࠤࠬ࠼࠶࡝ࠣࡉࠨߪߢ▚⸘ᧄߢߎߘޕ‬࡯࡟ࡦ࠻᭴ㅧࡕ࠺࡞[8]ࠍ↪޿ߚ‫ޕ‬ ߐࠄߦᾲࡊ࡜࠭ࡑᵹߩᢙ୯⸘▚ߦ߅޿ߡߪ‫ޔ‬਄ㅀߩ‛ᕈ୯ᄌൻߩߺߥࠄߕ‫ ⚂ޔ‬45 ୚ߦ෸߱ኒ
ᐲᄌൻࠍ⠨ᘦߒߥߌࠇ߫ߥࠄߥ޿‫৻ߩߘޕ‬ᣇߢ‫ޔ‬ᵹࠇ႐ߦ߅ߌࠆࡑ࠶ࡂᢙߪ 0.003㨪0.045 ߩ▸࿐ߦ޽ࠆߚ߼‫ޔ‬࿶❗ᕈᵹ૕⸃ᨆ↪ߩ⸘▚ࠬࠠ࡯ࡓࠍ↪޿ߡߒ߹߁ߣᎿቇ⊛ߦ᦭ᗧߥᤨ㑆ࠬࠤ࡯࡞ߢߩᵹ૕ㆇേࠍᝒ߃ࠆߚ߼ߦߪ⤘ᄢߥ⸘▚ᤨ㑆ࠍⷐߔࠆߎߣߦߥࠆ‫⃻ߜࠊߥߔޕ‬ታ⊛ߥࠕࡊࡠ࡯
࠴ߣߒߡ‫ޔ‬ᾲࡊ࡜࠭ࡑᵹࠍ‫ޟ‬ᄢ߈ߥኒᐲᄌൻࠍ઻߁㕖࿶❗ᕈᵹ૕‫ߡߒߣޠ‬ขࠅᛒ߁ߎߣߦߥࠆ߇‫ޔ‬ߎߩߣ߈ᢙ୯⸘▚ߪ㕖Ᏹߦਇ቟ቯߣߥࠆ‫߼ߚߩߘޕ‬ᡰ㈩ᣇ⒟ᑼߩኻᵹ㗄ࠍ㧝ᰴ♖ᐲ਄ᵹᏅಽᴺߦ
ࠃߞߡ㔌ᢔൻߒ‫ߩߘޔ‬ᢙ୯☼ᕈലᨐࠍ೑↪ߒߡዋߒߢ߽⸘▚ࠍ቟ቯൻߒߡⴕ߁ߎߣ߇ᄙ޿‫߆ߒޕ‬ߒߥ߇ࠄ‫ޔ‬ᢙ୯☼ᕈߦߪหᤨߦ᷵ࠍẩߒߡߒ߹߁ലᨐ߽޽ࠆߚ߼‫ޔ‬ᾲࡊ࡜࠭ࡑߣૐ᷷ᵹ૕߇౒ሽ
ߔࠆᵹേ႐ߩ᷵᭴ㅧࠍ᣿ࠄ߆ߦߔࠆߣ޿߁ᧄ⎇ⓥߩ⋡⊛ߦ෻ߒߡߒ߹߁‫੹ߢߎߘޕ‬࿁ߪ᷵ߩ᝝ᝒ
ߦ᦭ലߥਛᔃᏅಽᴺߩㆡ↪ࠍ⹜ߺࠆ߇‫ߩߎޔ‬ᣇᴺߪ‛ᕈ୯ᄌൻ߽ኒᐲᄌൻ߽ߥ޿ᵹ૕⸃ᨆߦ߅޿
ߡߔࠄ⸘▚ࠍਇ቟ቯߦߔࠆߎߣ߇ࠃߊ⍮ࠄࠇߡ޿ࠆ‫߆߼ߚߩߘޕ‬ᾲࡊ࡜࠭ࡑᵹߩᢙ୯⸘▚ߦ߅޿ߡਛᔃᏅಽᴺࠍ↪޿ߚߣ޿߁ႎ๔ߪߥ޿‫⎇ᧄߢߎߘޕ‬ⓥߢߪ‫ޔ‬᷵ࠍ᝝ᝒߔࠆߚ߼ߦ㧞ᰴ♖ᐲਛᔃ
Ꮕಽᴺࠍㆡ↪ߒߥ߇ࠄ‫ߩ▚⸘ޔ‬⎕✋ࠍ㒐ߋߚ߼ߦ㧝ᰴ♖ᐲ਄ᵹᏅಽᴺࠍ 10%ಽᷙߗࠆߣ޿߁ᚻᴺ
ࠍ↪޿ߡኻᵹ㗄ߩ㔌ᢔൻࠍⴕߞߚ‫ߚ߹ޕ‬᜛ᢔ㗄߿↢ᚑ㗄ߩ㔌ᢔൻߦߪㅢᏱߩ㧞ᰴ♖ᐲਛᔃᏅಽᴺ
ࠍ↪޿ߚ‫ᤨޕ‬㑆ᓸಽ㗄ߦߪ㧞ᰴ♖ᐲ Adams-Bashforth ᴺࠍㆡ↪ߒߚ‫▚⸘ߩߡోޕ‬ὐߦ߅޿ߡ⾰㊂࡮ㆇേ㊂࡮ࠛࡀ࡞ࠡ࡯ߩ଻ሽᕈࠍḩ⿷ߐߖࠆߚ߼‫▚⸘ޔ‬㗔ၞߪ᦭㒢૕Ⓧᴺߦࠃࠅ 2,051,033 ୘ߩࠦࡦ࠻ࡠ࡯࡞ࡏ࡝ࡘ࡯ࡓߦಽഀߐࠇ‫⺃ޔ‬ዉ㔚⏛႐ߣࠞ࠶ࡊ࡝ࡦࠣߒߥ߇ࠄ PISO ᴺ[9]ࠍ↪޿ߡᾲᵹേ႐ߩ⸘▚ࠍⴕߞߚ‫ޕ‬

3. ⸘▚᧦ઙ ࿑㧝ߦ DC–RF ࡂࠗࡉ࡝࠶࠼ᾲࡊ࡜࠭ࡑ࠻࡯࠴ߩ᭎⇛࿑ࠍ␜ߔ‫ޕ‬ౝᓘ 50 mm ߩ࠻࡯࠴ߩ਄ㇱߦო㕙ߦᴪߞߡ⸳ߌࠄࠇߚ᏷ 3 mm ߩࠬ࡝࠶࠻߆ࠄ 300 K ߩࠕ࡞ࠧࡦࠟࠬ߇ࠪ࡯ࠬࠟࠬߣߒߡᣓ
࿁ᚑಽࠍᜬߞߡᵈ౉ߐࠇࠆ‫࠴࡯࠻ߚ߹ޕ‬਄ㇱਛᔃߩౝᓘ 8 mm ߩࡁ࠭࡞߆ࠄ 12,000 K ߩ DC ࡊ࡜࠭ࡑࠫࠚ࠶࠻߇ 3 Sl/min ߢଏ⛎ߐࠇࠆ‫ޕ‬RF ⺃ዉࠦࠗ࡞ߪඨᓘ 30 mm‫ޔ‬㐳ߐ 30 mm‫࠴࠶ࡇޔ‬㑆㓒 10 mm ߩࠄߖࠎᒻ⁁ࠍߒߡ޿ࠆ‫ޕ‬DC ᡼㔚߅ࠃ߮ RF ᡼㔚ߦኻߔࠆᛩ౉㔚ജߪߘࠇߙࠇ 0.6
kW ߅ࠃ߮ 6.0 kW ߣߒ‫ޔ‬RF ශട๟ᵄᢙߪ 4 MHz ߣߒߚ‫ᤨޕ‬㑆ࠬ࠹࠶ࡊ᏷ࠍ 0.5 ms ߣߒ‫ޔ‬ೋᦼ᧦ઙ (time = 0) ߣߒߡゲኻ⒓㧞ᰴరߩ႐ࠍ⸘▚㗔ၞో૕ߦਈ߃ߚ‫᧲ߪߦ▚⸘ޕ‬ർᄢቇࠨࠗࡃ࡯ࠨ
ࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ SX-9 ࠍ↪޿ߚ‫ޕ‬

4. ⸘▚⚿ᨐ ࿑㧞ߦᧄ⸘▚ߦࠃߞߡᓧࠄࠇߚᾲᵹേ႐ߩઍ⴫⊛ߥ⍍㑆௝ࠍ␜ߔ‫ޕ‬7,500 K ߅ࠃ߮ 10,000 K ߩ╬᷷ᐲ㕙߿ᵹㅦߢ⦡ઃߌࠄࠇߚᵹ✢߆ࠄ‫࠴࡯࠻ࡑ࠭࡜ࡊޔ‬ౝߪⶄ㔀ߢ㧟ᰴర⊛ߥᾲᵹേ႐ߣߥߞ
ߡ߅ࠅ‫߫ߒ߫ߒޔ‬઒ቯߐࠇࠆゲኻ⒓㧞ᰴరߩ႐ߣߪ⒟㆙޿߽ߩߣߥߞߡ޿ࠆߎߣ߇ࠊ߆ࠆ‫ޕ‬㜞᷷ߩࡊ࡜࠭ࡑ㗔ၞߦߪ‫ߩ⁁ࠎߖࠄޔ‬ᵹ✢߇␜ߔౣᓴⅣᵹ߇⷗ࠄࠇࠆߎߣ߇ᄙ޿‫ߪࠇߎޕ‬ዉ㔚₸ߩ㜞޿ࡊ࡜࠭ࡑ㗔ၞߦ Lorentz ജ߇⊒↢ߒ‫ޔ‬ᵹ૕ㆇേࠍ㚟േߔࠆߚ߼ߢ޽ࠆ‫ߩߘߚ߹ޕ‬ౣᓴⅣᵹߪ࠻
!"#$%&'()*+,-./0123/45

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࿑䋲㩷 䊃䊷䉼ౝ䈱ᾲᵹേ႐䋨㪎㪃㪌㪇㪇㪢 䈍䉋䈶 㪈㪇㪃㪇㪇㪇㪢 䈱╬᷷ᐲ㕙䈫ᵹㅦ䈪⦡ઃ䈔䈘䉏䈢ᵹ✢䋩㩷࡯࠴਄ㇱ߆ࠄᵈ౉ߐࠇࠆૐ᷷ߩࠪ࡯ࠬࠟࠬᵹߦ߽ᓇ㗀ࠍਈ߃ࠆߚ߼‫⚿ޔ‬ᨐߣߒߡ࠻࡯࠴ౝߩᾲᵹേ႐ߦ ነࠅ߇↢ߓ‫⋥ޔ‬ㅴᕈߩ㜞޿ DC ࡊ࡜࠭ࡑࠫࠚ࠶࠻߽Ⱜⴕߔࠆ‫ߚ߹ޕ‬ૐ᷷㗔ၞߦ߅ߌࠆᵹ
ㅦߪዊߐߊ‫৻ޔ‬ᣇߢ㜞᷷ߩࡊ࡜࠭ࡑ㗔ၞߦ߅ߌࠆᵹㅦߪਥߦᄢ߈޿‫ߪࠇߎޕ‬ૐ᷷ߩ᳇૕߇ࡊ࡜࠭
ࡑൻߒߡ㜞᷷ߦߥࠆ㓙ߦ‫ޔ‬ᾲ⤘ᒛߦࠃߞߡ૕Ⓧ߇Ⴧടߔࠆߚ߼ߢ޽ࠆ‫ޕ‬ ࿑㧟ߦㅦᐲ൨㈩࠹ࡦ࠰࡞ߩ╙ੑਇᄌ㊂ Q = 3 ߩ╬୯㕙ߦࠃߞߡቯ⟵ߐࠇࠆ᷵᭴ㅧࠍ␜ߔ‫ߎߎޕ‬ߢ Q ߪઍ⴫ㅦᐲ 10 m/s ߣ࠻࡯࠴ౝᓘߦࠃߞߡήᰴరൻߐࠇߡ޿ࠆ‫ޕ‬㜞᷷㗔ၞߦ߅ߌࠆ᷵᭴ㅧߪ
ᄢ߈ߊ‫৻ߩߘޔ‬ᣇߢૐ᷷㗔ၞߢߪᄙᢙߩዊߐߥ᷵߇⊒↢ߒߡ޿ࠆ‫ޕ‬㜞᷷㗔ၞߦ߅ߌࠆ᷵ߪਥߦࡊ
࡜࠭ࡑߦ௛ߊ Lorentz ജߦ⿠࿃ߔࠆ߽ߩߢ޽ࠆߣ⠨߃ࠄࠇࠆ‫ߚ߹ޕ‬㜞᷷㗔ၞߪ☼ᕈ߇㜞޿ߚ߼‫ޔ‬ૐ᷷㗔ၞߦ↢ߓࠆࠃ߁ߥዊߐߥ᷵ߪሽ࿷ߢ߈ߥ޿‫ޕ‬ዊⷙᮨ߽ߒߊߪਛⷙᮨߩ᷵⟲ߪ 4,000 K એਅߩ㗔ၞߦ⷗ࠄࠇࠆ߇‫ࡑ࠭࡜ࡊߪࠇߎޔ‬ᵹߣૐ᷷ߩࠟࠬᵹߣߩ⇇㕙ઃㄭߢ↢ߓࠆᵹ૕ജቇ⊛ߥਇ቟ቯᕈߦࠃߞߡ⊒↢ߒߚ߽ߩߣ⠨߃ࠄࠇࠆ‫࠴࡯࠻ߚ߹ޕ‬਄ოઃㄭߢ߽ૐ᷷ߩዊߐߥ᷵⟲߇↢ߓ‫ࡊޔ‬࡜࠭ࡑࠫࠚ࠶࠻๟ㄝߦሽ࿷ߔࠆ᷵᭴ㅧߦᒁ߈ㄟ߹ࠇߡว૕ߔࠆ᭽ሶ߽⸘▚ߐࠇߡ޿ࠆ‫ޕ‬

5. ⚿⸒ ᾲᵹേ႐ߣ⺃ዉ㔚⏛႐ߩ⋧੕૞↪ࠍ⠨ᘦߒߚ DC–RF ࡂࠗࡉ࡝࠶࠼ᾲࡊ࡜࠭ࡑᵹߩ㕖ቯᏱ㧟ᰴరᢙ୯ࠪࡒࡘ࡟࡯࡚ࠪࡦࠍ⹜ߺ‫ޔ‬ᾲࡊ࡜࠭ࡑߣૐ᷷ᵹ૕߇౒ሽߔࠆ㧟ᰴర⊛ߥᾲᵹേ႐߅ࠃ߮ࠦ
ࡅ࡯࡟ࡦ࠻᭴ㅧࠍ᣿ࠄ߆ߦߔࠆߎߣߦᚑഞߒߚ‫ߪ⚦⹦ޕ‬ᢥ₂[7]ࠍෳᾖߐࠇߚ޿‫ޕ‬ ࿑䋳㩷 ㅦᐲ൨㈩䊁䊮䉸䊦䈱╙ੑਇᄌ㊂䈮䉋䉍ቯ⟵䈘䉏䈢᷵᭴ㅧ㩷⻢ㄉ ᧄ⎇ⓥߪ‫᧲ޔ‬ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ࠍ೑↪ߔࠆߎߣߢታ
⃻ߔࠆߎߣ߇ߢ߈‫ߩ࠼࡯ࠦ▚⸘ޔ‬㜞ㅦൻߦ޽ߚߞߡߪห࠮ࡦ࠲࡯㑐ଥฦ૏ࠃࠅߏදജࠍ޿ߚߛ߈
߹ߒߚ‫ߚ߹ޕ‬᷵᭴ㅧߦ㑐ߔࠆ᦭⋉ߥഥ⸒ࠍߊߛߐ޿߹ߒߚ᧲ർᄢቇᄢቇ㒮Ꮏቇ⎇ⓥ⑼ߩ⑔⷏␭ᢎ
᝼ߣદỈ♖৻㇢ಎᢎ᝼ߦᗵ⻢ߩᗧࠍ⴫ߒ߹ߔ‫⎇ᧄޔ߅ߥޕ‬ⓥߪቇⴚ⎇ⓥഥᚑၮ㊄ഥᚑ㊄㧔ၮ⋚⎇ⓥ(C): 23560182㧕ߦࠃߞߡⴕࠊࠇߚ߽ߩߢ޽ࠆߎߣࠍߎߎߦ⸥ߒ߹ߔ‫ޕ‬ෳ⠨ᢥ₂[1] Yoshida T., Tani T., Nishimura H., and Akashi K., “Characterization of a hybrid plasma
and its application to a chemical synthesis”, J. Appl. Phys., Vol. 54 (1983), pp. 640-646.
[2] Shigeta, M. and Nishiyama, H., “Numerical Analysis of Metallic Nanoparticle Synthesis
using RF Inductively Coupled Plasma Flows”, Trans. ASME, J. Heat Transfer, Vol. 127(2005), pp. 1222-1230.
[3] Shigeta, M. and Murphy, A.B., “Thermal plasmas for nanofabrication”, J. Phys. D: Appl.
Phys., Vol. 44, No. 17 (2011), pp. 174025 (16 pages).
[4] Takana, H., Jang, J., Igawa, J., Nakajima, T., Solonenko, O.P., and Nishiyama, H.,“Improvement of In-Flight Alumina Spheroidization Process Using a Small Power Argon


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



!"#$%&'()*+,-./012.34



DC–RF Hybrid Plasma Flow System by Helium Mixture”, J. Thermal Spray Tech., Vol. 20,
No. 3 (2011), pp. 432-439.
[5] Kawajiri, K., Sato, T., and Nishiyama, H., “Experimental analysis of a DC–RF hybrid
plasma flow”, Surface Coatings Tech., Vol. 171 (2003), pp. 134-139.
[6] Seo, J.H., Park, J.M., and Hong, S.H, “Influence of DC arc jets on flow fields analyzed byan integrated numerical model for a DC–RF hybrid plasma”, Plasma Sources Sci. Technol.,Vol. 17 (2008), pp. 025011 (10 pages).
[7] Shigeta, M., “Three-dimensional flow dynamics of an argon RF plasma with DC jet
assistance: a numerical study”, J. Phys. D: Appl. Phys., Vol. 1 (2013), pp. 015401 (12pages).
[8] Kobayashi, H., “Large eddy simulation of magnetohydrodynamic turbulent channel flows
with local subgrid-scale model based on coherent structures”, Phys. Fluid, Vol. 18 (2006),
pp. 045107 (11 pages)[9] Issa, R.I., “Silution of Implicitly Discretised Fluid Flow Equations by Operator-Splitting”,
J. Computational Phys., Vol. 62 (1985), pp. 40-65.

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


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⿥ᄢⷙᮨᢙ୯⸘▚ߦၮߠߊᩭⲢวἹవㅴࡉ࡜ࡦࠤ࠶࠻࠺ࠩࠗࡦ᧦ઙߦ
߅ߌࠆ㜞♖ᐲ /*& ᾲવ㆐࠺࡯࠲ࡌ࡯ࠬߩ᭴▽ጊᧄ ⟵ᥰ  ഞಷ ⾗ᓆ ጊ᪸ᄢቇᄢቇ㒮කቇᎿቇ✚ว⎇ⓥㇱᯏ᪾ࠪࠬ࠹ࡓᎿቇኾ᡹
੩ㇺᄢቇᄢቇ㒮Ꮏቇ⎇ⓥ⑼ේሶᩭᎿቇኾ᡹
 ߪߓ߼ߦ
ᩭⲢวἹᰴ਎ઍࡉ࡜ࡦࠤ࠶࠻಄ළ᧚ (෸߮Ⴧᱺ᧚) ߩ᦭ജ୥⵬ߩ৻ߟߢ޽ࠆ FLiBe ṁⲢႮ(LiFߣ BeF ߩᷙวṁⲢႮ)ߪ㧘1㧕ൻቇ⊛቟ቯᕈ㧘2㧕⏛᳇ᵹ૕ജቇ⊛ (MHD, Magneto-Hydro-Dynamics )࿶ജ៊ᄬߩ഍⊛ૐᷫ㧘3㧕಄ළ᧚ߩߺߥࠄߕჇᱺ᧚෸߮ਛᕈሶჇ୚᧚ߣ޿ߞߚᄙᯏ⢻ᕈࠍ᦭ߒߡ޿
ࠆ෻㕙㧘⣣㘩㧘વᾲഠൻߩ໧㗴ὐ߇ᜰ៰ߐࠇߡ޿ࠆ[1,2]㧚
ߎߩ FLiBe ṁⲢႮߪࡊ࡜ࡦ࠻࡞ᢙ 25 ⒟ᐲߩ㜞ࡊ࡜ࡦ࠻࡞ᢙᵹ૕ ( ࡊ࡜ࡦ࠻࡞ᢙ㧦ㆇേ㊂᜛ᢔߣᾲ᜛ᢔߩᲧ㧘ࡊ࡜ࡦ࠻࡞ᢙ 25 ߩ႐ว㧘ᾲ᜛ᢔߪㆇേ㊂᜛ᢔߩ 1/25 ߢ޽ࠆߎߣࠍ␜ߔ ) ߢ޽ࠆߚ߼㧘ߘߩવᾲ․ᕈߪੂᵹᾲવ㆐ߦᒝߊଐሽߔࠆ㧚ߒ߆ߒߘߩ㜞ࡊ࡜ࡦ࠻࡞ᵹ૕ߦ߅ߌࠆ MHD
ੂᵹᾲવ㆐ߩ⍮⷗ߪ㕖Ᏹߦዋߥ޿㧚ේ࿃ߣߒߡߪ㧘㕖ቯᏱᕈ࡮3 ᰴరᕈࠍ᦭ߔࠆᒝ㕖✢ᒻ࡮ᢔㅺജቇ⃻⽎ߢ޽ࠅ㧘ℂ⺰⊛ขࠅᛒ޿ߪ࿎㔍ߢ޽ࠆߎߣ㧘ߐࠄߦታ㛎⊛ᚻᴺߦ߅޿ߡ߽⏛႐ਅࠍኻ⽎ߣߔࠆߚ߼㧘㔚ሶᯏེࠍ↪޿ߚ㜞♖ᐲ⸘᷹ᯏེ߇ㆡ↪ߢ߈ߥ޿ߎߣ㧘߹ߚਇㅘ᣿ᵹ૕ߢ޽ࠆߚ߼
࡟࡯ࠩ╬ߩశቇ᷹ቯ߿นⷞൻ߇࿎㔍ߢ޽ࠆߎߣ߇᜼ߍࠄࠇࠆ[3]㧚
ߘߎߢᧄ⎇ⓥߢߪ㧘ㄭᐕ⋡ⷡߒ޿ㅴዷࠍㆀߍߟߟ޽ࠆ⸘▚⑼ቇ⊛ᚻᴺߦ⌕⋡ߒ㧘⏛ᕈലᨐ࡮ੂ
ᵹലᨐ࡮ᾲャㅍലᨐࠍ㜞♖ᐲߦ੍᷹น⢻ߥ⋥ធᢙ୯⸘▚ᚻᴺ ( DNS, Direct Numerical Simulation )ߩ㐿⊒෸߮ߘߩ♖ᐲߩᬌ⸽ࠍታⴕߔࠆߣߣ߽ߦ㧘ታ㓙ߩᩭⲢวἹ࠺ࠩࠗࡦ᧦ઙ 㧦㜞ࡂ࡞࠻ࡑࡦᢙ( ⏛ᕈലᨐ )㧘㜞࡟ࠗࡁ࡞࠭ᢙ ( ੂᵹലᨐ )㧘㜞ࡊ࡜ࡦ࠻࡞ᢙ ( ᾲ᜛ᢔലᨐ )㧘ߦㆡ↪ߒ㧘㜞♖ᐲ DNS ࠺࡯࠲ࡌ࡯ࠬߩ᭴▽ࠍ⋡ᜰߔ߽ߩߢ޽ࠆ.
ᧄႎߦ߅޿ߡߪ㧘߹ߕࡉ࡜ࡦࠤ࠶࠻࠺ࠩࠗࡦ᧦ઙਅ[2]ߢߩ DNS ࠺࡯࠲ࡌ࡯ࠬ᭴▽ߦᔅⷐߥ⸘
▚ᯏ⾗Ḯߩ⷗Ⓧࠍ␜ߔ㧚ߘߒߡߘߩ⚿ᨐߦၮߠ߈㧘ᢥㇱ⑼ቇ⋭ቇ㓙ᄢⷙᮨᖱႎၮ⋚౒ห೑↪࡮౒ห⎇ⓥ᜚ὐߩ৻Ⅳߣߒߡታᣉߒߚ㧘⿥ਗ೉⸘▚ᯏࠪࠬ࠹ࡓ(1000 ਗ೉એ਄)ࠍኻ⽎ߣߒߚ MHD ੂᵹ႐ߩ⋥ធᢙ୯⸘▚ᚻᴺ㐿⊒ߦߟ޿ߡႎ๔ߔࠆ㧚⋥ធᢙ୯⸘▚ᚻᴺߩ᭎ⷐߣ࠺࡯࠲ࡌ࡯ࠬ᭴▽ߦᔅⷐߥ⸘▚ᯏ⾗Ḯ ⸘▚૕♽
࿑ 1-(1)ߦᩭⲢวἹࡉ࡜ࡦࠤ࠶࠻ߦ߅ߌࠆ಄ළᵹ〝ߩ᭎ᔨ࿑ࠍ␜ߔ㧚߹ߚ࿑ 1-(2)ߪ㧘ࡉ࡜ࡦࠤ࠶
࠻಄ළᵹ〝ࠍ◲⇛ൻߒߚ⸘▚૕♽ߢ޽ࠆ㧚ߎߎߦᐳᮡ♽ߪਥᵹᣇะࠍ x ゲ㧘ოု⋥ᣇะࠍ y ゲ㧘ࠬࡄࡦᣇะࠍ z ゲߣߒߚ㧚ᵹࠇ႐ߪ㧘ਥᵹᣇะߦ৻ቯߩ࿶ജ൨㈩(F=uW2/h, uW: ო㕙៺ᡂㅦᐲ, h: ࠴ࡖࡦࡀ࡞ඨ୯᏷)ߦࠃࠅ㚟േߐࠇࠆᐔⴕᐔ᧼㑆ᵹࠇߢ޽ࠆ㧚ടᾲ᧦ઙߣߒߡߪ㧘਄ოടᾲߩ᷷ᐲᏅ৻ቯ᧦ઙ
('T=Ttop-Tbottom=৻ቯ, Ttop: ਄ო᷷ᐲ㧘Tbottom: ਅო᷷ᐲ)ߣߒ㧘਄࡮ਅო᷷ߪߘࠇߙࠇ৻ቯߢ޽ࠆ㧚߹ߚ᷷ᐲ႐ߪࡄ࠶ࠪࡉࠬࠞ࡜࡯ߣߒߚ㧚⏛႐ߪ㧘ૐ᷷ო஥(ਅო஥)߆ࠄ਄ოߦะ߆ߞߡ৻ቯ⏛᧤ኒᐲ(By)ߢ৻
᭽ߦශടߒߚ㧚 

 ࿑ 1-(1) ࡉ࡜ࡦࠤ࠶࠻಄ළᵹ〝   ࿑ 1-(2) ࡉ࡜ࡦࠤ࠶࠻಄ළᵹ〝ࠍ◲⇛ൻߒߚ⸘▚૕♽ ၮ␆ᣇ⒟ᑼ
ၮ␆ᣇ⒟ᑼߪ㧘ᰴᑼ (1) - (4) ߦ␜ߔ㧘㕖࿶❗ᕈᵹ૕ߦ߅ߌࠆ㧘ㅪ⛯ᑼ (2) ෸߮ૐ⏛᳇࡟ࠗࡁ࡞
࠭ᢙߩ઒ቯߦၮߠߊ㔚૏ࡐ࠹ࡦࠪࡖ࡞[4]ࠍ↪޿ߚ Navier-Stoks ᑼ (3)㧘㔚૏ࡐ࠹ࡦࠪࡖ࡞ߩࡐࠕ
࠰ࡦᣇ⒟ᑼ (3) ෸߮ࠛࡀ࡞ࠡ࡯ᣇ⒟ᑼ (4) ߢ޽ࠆ㧚
wu i*
wx i

0,                                 (1)wui* wui u j

wt
wx j

* *

w 2I *
wx i wx i

wT *
wt



FG i1 § wI *·
w 2 u i*Vw § p* ·¨¨ ¸¸  Q
 H ijk ¨  H jlm ul* Bm ¸ Bk ,          (2)¨ wx¸
wx j wx j U
wxi © U ¹j©
¹w
H ijk u *j Bk ,                            (3)wx i

wT *u *jwx j

Dw 2T *                           (4).
wx j wx jߎߎߦ㧘ui ( = u,v,w ( i=1,2,3 ) ) ߪ ਥᵹ ( x, i=1 ), ოု⋥ ( y, i = 2 ), ࠬࡄࡦ ( z, i = 3 ) ᣇะ߳ߩㅦ
ᐲ㧘 t: ᤨ㑆㧘p: ࿶ജ㧘I: 㔚૏ࡐ࠹ࡦࠪࡖ࡞, T: ᷷ᐲߢ޽ࠆ㧚߹ߚ਄ઃ߈ᷝ߃ሼ*ߪ⍍㑆୯ߢ޽ࠆߎߣࠍ␜ߔ㧚ߐࠄߦGij , Hijk ( i,j,k = ߘࠇߙࠇ 1,2,3 )ߪࠢࡠࡀ࠶ࠞ࡯ߩ࠺࡞࠲㧘ࠛ࠺ࠖࡦ࠻ࡦߩࠗࡊ
ࠪࡠࡦߢ޽ࠅ㧘➅ࠅ㄰ߒᷝ߃ሼߪ❗⚂ⷙ⚂ߦᓥ߁߽ߩߣߔࠆ㧚 㔌ᢔൻᚻᴺ
ᧄ⎇ⓥߢߪ㧘⿥ਗ೉⸘▚ᯏࠪࠬ࠹ࡓ਄ߩ㜞♖ᐲ MHD ੂᵹ႐ߩ⋥ធᢙ୯⸘▚ᚻᴺߣߒߡ㧘ᡆࠬ
ࡍࠢ࠻࡞ᴺ෸߮㜞ᰴ♖ᐲਛᔃᏅಽᴺߦၮߠߊ⸘▚ᚻᴺࠍᬌ⸛ߒߚ㧚(1)ᡆࠬࡍࠢ࠻࡞ᴺ[5,6]ⓨ㑆ߩ㔌ᢔൻߪ㧘ਥᵹ෸߮ࠬࡄࡦᣇะߦࡈ࡯࡝ࠛ࡮ࠬࡍࠢ࠻࡞ᴺ㧘ოု⋥ᣇะߦ 2 ᰴ♖ᐲߩਛᔃᏅಽࠍ↪޿ߚ㧚ᤨ㑆ㅴⴕߪኻᵹ㗄෸߮⏛႐㗄ߦ 3 ᰴ♖ᐲߩ Runge-Kutta ᴺ㧘☼ᕈ(᜛ᢔ)㗄ߦ
Crank-Nicolson ᴺ㧘࿶ജ൨㈩㗄ߦ Euler 㒶⸃ᴺࠍ↪޿ߚ㧚߹ߚਥᵹ෸߮ࠬࡄࡦᣇะߩࠛࠗ࡝ࠕࠫࡦ
ࠣ⺋Ꮕߪ૏⋧ࠪࡈ࠻ᴺߦࠃࠅ㧘ߎࠇࠍ㒰෰ߒߚ㧚ᩰሶ♽ߪ㧘㋦⋥ᣇะㅦᐲᚑಽ(u2=v)ߩቯ⟵ࠍߘߩઁߩ‛ℂ㊂߆ࠄඨᩰሶಽߕࠄߒߚࠬ࠲ࠟ࡯࠼ᩰሶ[7]ࠍ૶↪ߒߚ㧚 

!"#$%&'()*+,-./01+23
456789 :;<=>?/@AB@CDEF(2)㜞ᰴ♖ᐲᏅಽᴺ
Ꮕಽᴺߩ႐วߦ߅޿ߡߪ㧘ࠬ࠲ࠟ࡯࠼ᩰሶߦ߅޿ߡ㧘ㆇേࠛࡀ࡞ࠡ࡯ࠍ㔌ᢔ⊛ߦ଻ሽߔࠆ 6 ᰴ
෸߮ 12 ᰴ♖ᐲߩ㜞ᰴ♖ᐲਛᔃᏅಽᴺ[8]ࠍㆡ↪ߒߚ㧚ߥ߅ოု⋥ᣇะߦߟ޿ߡߪ 2 ᰴ♖ᐲਛᔃᏅ
ಽᴺࠍ↪޿ߡ޿ࠆ㧚ᤨ㑆ㅴⴕߪ㧘Fractional step ᴺࠍㆡ↪ߒ㧘࿶ജ㗄ߦ Euler 㒶⸃ᴺ㧘ߘߩઁߩ㗄ߦ 3 ᰴ♖ᐲ Runge-Kutta ᴺࠍ↪޿ߚ㧚࿶ജࡐࠕ࠰ࡦ⸃ᴺߦߪ㧘㜞ㅦࡈ࡯࡝ࠛᄌ឵ߣ 3 ㊀ኻⷺⴕ೉⸃ᴺ ( Tri-diagonal Matrix Algorithm, TDMA ) ߦࠃࠆ⋥ធ⸃ᴺߦࠃࠅߎࠇࠍ⸃޿ߚ㧚੹࿁㧘㜞ᰴ♖ᐲਛᔃᏅಽᴺߩㆡ↪ࠍᬌ⸛ߒߚ⢛᥊ߣߒߡߪ㧘⸘▚♖ᐲߩ㕙߆ࠄߪ㧘ࠬࡍࠢ࠻࡞
ᴺ߇ఝ૏ߢ޽ࠆߎߣߦ⇼޿ߪߥ޿߇㧘ᰴ਎ઍࡌࠢ࠻࡞ਗ೉⸘▚ᯏߦ߅޿ߡߪ㧘ࡔࡕ࡝ࡃࡦ࠼᏷ߩ
ᷫዋߦട߃㧘ࡁ࡯࠼㑆ㅢା᏷ߩᷫዋ੍߽᷹ߐࠇࠆ㧚ᓥߞߡ㧘ࡈ࡞ࡃࠗ࠮࡚ࠢࠪࡦࡃࡦ࠼᏷ߦࠃࠅ
ߘߩṶ▚ᕈ⢻߇ଐሽߔࠆ㜞ㅦࡈ࡯࡝ࠛᄌ឵ㇱಽ߇ਥⷐ⸘▚ㇱಽߣߥࠆࠬࡍࠢ࠻࡞ᴺߦ߅޿ߡߪ㧘Ṷ▚ല₸ߩૐਅ߇ ᔨߐࠇࠆߎߣߦ޽ࠆ㧚Ⴚ⇇᧦ઙႺ⇇᧦ઙߪో‛ℂ㊂ߦኻߒ㧘ਥᵹ෸߮ࠬࡄࡦᣇะߦ๟ᦼႺ⇇᧦ઙߣߒ㧘ო㕙ߢㅦᐲ႐ߦ no-slip ᧦ઙ㧘㔚૏ࡐ࠹ࡦࠪࡖ࡞ߪ⛘✼ოࠍ઒ቯߒ㧘൨㈩ 0㧘᷷ᐲߪ৻ቯߣߒߚ㧚 ߹ߚࠬࡄࡦᣇะߩᐔဋ㔚ᵹߪ 0 ߣߒߚ㧚 ࡉ࡜ࡦࠤ࠶࠻࠺ࠩࠗࡦ᧦ઙ

࿑ 2 ᩭⲢวἹ࠺ࠩࠗࡦ᧦ઙਅߢߩ DNS ࠺࡯࠲ࡌ࡯ࠬ᭴▽ߦⷐߔࠆ⸘▚ᯏ⾗Ḯ
࿑ 2 ߦ FLiBe ṁⲢႮࠍ↪޿ߚ႐วߦ߅ߌࠆ㧘ੂᵹ࡟ࠗࡁ࡞࠭ᢙߣ⸘▚⾗Ḯߣߩ㑐ଥࠍ␜ߔ㧚ࡉ࡜ࡦࠤ࠶࠻࠺ࠩࠗࡦ᧦ઙ[9]ߦ߅޿ߡߪ㧘ੂᵹ࡟ࠗࡁ࡞࠭ᢙ ( ReW= uWh/Q㧘uW:ო㕙ᐲ៺ᡂㅦᐲ ) ߪ
400 – 3000 ⒟ᐲ㧘࠴ࡖࡦࡀ࡞᏷(2h)ߦၮߠߊࡂ࡞࠻ࡑࡦᢙ ( Ha=By2h(V/UQ)1/2㧘V: 㔚᳇વዉᐲ, U: ኒᐲ ) ߪ 20 – 100 ⒟ᐲߢ޽ࠆ( ෩ኒߦߪ࡟ࠗࡁ࡞࠭ᢙߦଐሽߔࠆ )㧚
߹ߚ࿑ 2 ߩ❑ゲߪᔅⷐࡔࡕ࡝㊂[TB](޽ࠆ޿ߪ 1 ࠤ࡯ࠬ޽ߚࠅߩ⸘▚ᤨ㑆ࠍ 1 ࡩ᦬⒟ᐲߣߒߚ႐
วߩᔅⷐታലṶ▚ㅦᐲ [ TFLOPS ] )ߢ޽ࠆ㧚FLiBe ṁⲢႮߩ႐ว㧘࠺ࠩࠗࡦ᧦ઙਅ㒢ઃㄭߩ㧘
ReW=400㧘Pr=25㧘Ha=20 ⒟ᐲߩ႐วߦ 1TB㧘1TFLOPS ⒟ᐲߩ⸘▚ᯏ⾗Ḯࠍⷐߔࠆߎߣࠍ␜ߒߡ޿ 

 ࠆ㧚
ᐔᚑ 24 ᐕᐲ߹ߢߦ㧘ᢥㇱ⑼ቇ⋭ቇ㓙ᄢⷙᮨᖱႎၮ⋚౒ห೑↪࡮౒ห⎇ⓥ᜚ὐߩදജࠍᓧߡ㧘᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߣߩ౒ห⎇ⓥ⚿ᨐߦࠃࠅ㧘FLiBe ࠍᗐቯߒߚ㧘ReW= 400, Pr =25, Ha =0, 20, 28 ߩࠤ࡯ࠬ ( ࿑ 2 ߩ٨ ) ෸߮ᮨᡆᵹ૕ߩ KOH[3]ࠍᗐቯߒߚ ReW= 1000, Pr = 5, Ha=0, 28, 48 ߩࠤ࡯ࠬ ( ࿑ 2 ߩ‫ ߩ ) ع‬DNS ࠺࡯࠲ࡌ࡯ࠬ᭴▽ߦᚑഞߒߡ޿ࠆ㧚߹ߚᐔᚑ 25 ᐕᐲߪ㧘
ReW= 2000, Pr = 5, Ha =0, 48㧘96 ߩࠤ࡯ࠬ ( ࿑ 2 ߩ٨ ) ߦ߅ߌࠆ DNS ࠺࡯࠲ࡌ࡯ࠬ᭴▽ߦขࠅ⚵߻੍ቯߢ޽ࠆ㧚ߎࠇࠄߩ DNS ࠺࡯࠲ࡌ࡯ࠬߩ᭴▽ߦࠃࠅ㧘࠺ࠩࠗࡦ᧦ઙਅߢߩㅦᐲ႐ߦ߅ߌࠆ
MHD ੂᵹᄌ⺞ߦ㑐ߔࠆࠬࠤ࡯࡝ࡦࠣ⸃ᨆ෸߮ੂᵹࡕ࠺࡞㐿⊒ߦᔅⷐߥ⍮⷗߇ᓧࠄࠇࠆ߽ߩߣ⠨߃ߡ޿ࠆ㧚ߒ߆ߒߘߩ৻ᣇߢ㧘ᾲャㅍߦ㑐ߒߡߪ㧘㜞࡟ࠗࡁ࡞࠭ᢙ᧦ઙਅ ( ReW=1000, 2000 ) ߦ߅޿ߡߪ㧘⸘▚ᯏ⾗Ḯߩ೙⚂ߦࠃࠅ㧘ᮨᡆᵹ૕ߩ KOH ( Pr =5 ⒟ᐲ ) ߦ㒢ࠄࠇߡ߅ࠅ㧘FLiBe ṁⲢႮࠍኻ⽎ߣߒߚ Pr =25 ⒟ᐲ ( ࿑ 2 ߩ٨ ) ߦ᜛ᒛߔࠆߦߪ㧘ታⴕṶ▚ㅦᐲߢ 10-100 TFLOPS ⒟ᐲ߇ᔅⷐߣ
ߥࠆ㧚ߎࠇߦኻಣߔࠆߦߪ㧘ᰴ਎ઍࡌࠢ࠻࡞ਗ೉⸘▚ᯏ޽ࠆ޿ߪ㧘ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲੩ࠢ࡜
ࠬߩ⸘▚ᯏ߇ᔅⷐߢ޽ࠅ㧘ߎࠇࠄߩ⸘▚ᯏࠪࠬ࠹ࡓ߳ߩ DNS ᚻᴺߩᦨㆡൻ߇ਇนᰳߢ޽ࠆ㧚 ਗ೉ൻߩ᭎ⷐ ࡌࠢ࠻࡞ਗ೉⸘▚ᯏ਄ߢߩਗ೉ൻᚻᴺߪ㧘ࠬࡍࠢ࠻࡞ᴺ෸߮㜞ᰴ♖ᐲᏅಽᴺߣ߽ߦ㧘೨ႎ[10]ߣ߶߷ห᭽ߢ޽ࠆ㧚એਅߦߘߩ᭎ⷐࠍ߹ߣ߼ࠆ㧚 㗔ၞಽഀߣࡁ࡯࠼㑆ㅢାᧄ DNS ࠦ࡯࠼ߢߪ y ᣇะ߳ߩ 1 ᰴర㗔ၞಽഀߣࡁ࡯࠼㑆ㅢାᣇᴺߣߒߡ MPI(Massage Passing
Interface)ࠍ↪޿ߡ޿ࠆ㧚ਥⷐㅢାㇱಽߪ㧘y ᣇะ߳ߩᏅಽ↪ࠬ࠹ࡦࠪ࡞ߦ㑐ߔࠆ shift ㅢା෸߮࿑
3 ߦ␜ߔࠃ߁ߦ㧘y ᣇะߩ TDMA ㇱಽߦ઻߁㧘y ゲ߆ࠄ z ゲ߳ߩಽഀゲᄌᦝߦࠃࠆ࠺࡯࠲ォ⟎ߩ
alltoall ㅢାߢ޽ࠆ㧚alltoall ㅢାߦ߅޿ߡߪ㧘ࠣࡠ࡯ࡃ࡞ࡔࡕ࡝ (GM)਄ߢߩ࡝ࡕ࡯࠻ࡔࡕ࡝ࠕࠢ
࠮ࠬ(RMA)ᯏ⢻ࠍ೑↪ߒߚ MPI_PUT ߦࠃࠆ one-side ㅢା[11]ࠍ૶↪ߒߡ޿ࠆ㧚ߐࠄߦ alltoall ㅢାߦ߅޿ߡ․ቯࡁ࡯࠼(෸߮ CPU)ߦㅢା߇㓸ਛߔࠆߎߣߦࠃࠆㅢାߩࠦࡦࡈ࡝ࠢ࠻ࠍ㒐ߋߚ߼ߦ㧘࿑ 4 ߩࠃ߁ߥࡁ࡯࠼㑆ㅢାߩࠬࠤࠫࡘ࡯࡝ࡦࠣ[12]ࠍ޽ࠊߖߡታⵝߒߡ޿ࠆ㧚߹ߚ೨ႎ߆ࠄߩᡷ⦟ὐߣߒߡߪ㧘ࡁ࡯࠼㑆ㅢାߩࠬࠤࠫࡘ࡯࡝ࡦࠣࠍᏅಽ↪ࠬ࠹ࡦࠪ࡞ߦ㑐ߔࠆ shift ㅢାㇱಽߦ߽ㆡ↪ߒߚ㧚࿑ 3 1 ᰴర㗔ၞಽഀᣇᴺߣ࠺࡯࠲ォ⟎(4 ਗ೉ߩ႐ว) 

!"#$%&'()*+,-./01+23
456789 :;<=>?/@AB@CDEF࿑ 4 ࡁ࡯࠼㑆ㅢାߩࠬࠤࠫࡘ࡯࡝ࡦࠣ(4 ࡁ࡯࠼ߩ႐ว) 㜞ᰴ♖ᐲᏅಽᴺߦ߅ߌࠆࡌࠢ࠻࡞࠴ࡘ࡯࠾ࡦࠣ
੹࿁ㆡ↪ߒߚ㜞ᰴ♖ᐲᏅಽᴺߦ߅޿ߡߪ㧘ㆇേࠛࡀ࡞ࠡ࡯ߩ଻ሽᕈࠍ⏕଻ߔࠆߚ߼ߦ 1 ὐ޽ߚࠅߩࠬ࠹ࡦࠪ࡞ߪ㧘6 ᰴ♖ᐲߩ႐ว 11 ὐ㧘12 ᰴ♖ᐲߩ႐วߦ 23 ὐࠍⷐߔࠆ㧚ߎࠇߦኻಣߔࠆߚ
߼ߦ㧘ᧄ⎇ⓥߢߪ࡝ࠬ࠻㈩೉ࠍㆡ↪ߒߚ㧚ߐࠄߦ 12 ᰴ♖ᐲᏅಽᴺߩ႐วߪ㧘ኻᵹ㗄╬ߩ⸘▚ࠍⶄᢙ࡞࡯ࡊߦಽഀߒ㧘ਛ㑆㈩೉ࠍ౒᦭ߔࠆߎߣߦࠃࠅ㧘⋭ࡔࡕ࡝ൻࠍⴕߞߚ㧚ߘߩ⚿ᨐ㧘ᔅⷐࡔࡕ࡝㊂ߪ㧘6 ᰴ♖ᐲ෸߮ 12 ᰴ♖ᐲߩਔᚻᴺߦ߅޿ߡ㧘2 ᰴ♖ᐲߩ႐วߣห⒟ᐲߢ޽ࠅ㧘ࠬࡍࠢ࠻࡞ᴺߣᲧセߒߚ႐วߪ㧘ඨಽએਅߦᛥ೙ߔࠆߎߣ߇ߢ߈ߚ㧚߹ߚ㜞ᰴ♖ᐲᏅಽᴺߩṶ▚㊂ߪ㧘12 ᰴ♖ᐲߩ႐ว㧘ߎߜࠄ߽ࠬࡍࠢ࠻࡞ᴺߩ⚂ඨಽ⒟ᐲߢ޽ߞߚ㧚৻ᣇ㧘㜞ᰴ♖ᐲᏅಽᴺߩṶ▚ㇱಽߩࡌࠢ࠻࡞ൻ₸ߪ 99.7%⒟ᐲࠍ⏕଻ߒߡ޿ࠆ߽ߩߩ㧘࡝ࠬ࠻㈩೉ߩ૶↪ߦࠃࠅࡃࡦࠢࠦࡦࡈ࡝ࠢ࠻߇㗫಴ߒ㧘ᄢ᏷ߥᕈ⢻ഠൻࠍ߽ߚࠄߒߚ㧚ߘߎߢߎࠇߦኻಣߔࠆߚ߼ߦ㧘㈩೉㗔ၞౝߦ߅޿ߡߪ㧘࡝ࠬ࠻㈩೉ࠍᑄᱛߒ㧘න⚐ߥᏅಽᑼߦ
ୃᱜߒߚ㧚࡝ࠬ࠻㈩೉߇ᔅⷐߣߥࠆ๟ᦼႺ⇇ㇱಽߦ߅޿ߡߪ㧘expand ᜰ␜ⴕ㧘unroll ᜰ␜ⴕߢ࡞
࡯ࡊዷ㐿ࠍⴕ޿㧘㜞ㅦൻࠍ࿑ߞߚ㧚࿑ 5 ߦߎߩࡊࡠࠣ࡜ࡓ଀ࠍ␜ߔ㧚^  FQMP\AUP\AG^^8 FQLP[^^^EFKTGZRCPF^^^  FQK ⋭⇛ ^ 8 GPFFQGPFFQGPFFQ^  FQMP\AUP\AG^^  FQLP[^^^8 FQKPZ
^^^^FWFZ EQGHAZ W K LM ^^^^ EQGHAZ W K LM ^^^^ EQGHAZ W K LM ^^^^ EQGHAZ W K LM ^^^^ EQGHAZ W K LM ^^^^ EQGHAZ W KLM ^^^^EQGHAZ W KLM ^^^^EQGHAZ W KLM ^^^^EQGHAZ W KLM ^^^^EQGHAZ W KLM 

࡝ࠬ࠻㈩೉ࠍ૶↪

㈩೉ᄖෳᾖ߇⊒↢ߒߥ޿ࠃ߁ߦ
࡞࡯ࡊ㐳ࠍ⸳ቯ

࡝ࠬ࠻ࡌࠢ࠻࡞ࠍᑄᱛ

 
^^^^EQGHAZ W KLM ^^^^EQGHAZ W KLM  ^^^^FXF[ EQGHA[ X KLR L M ^^^^ EQGHA[ X KLR L M ^^^^ EQGHA[ X KLR L M ^^^^ EQGHA[ X KLR L M ^^^^ EQGHA[ X KLR L M ^^^^ EQGHA[ X KLM ^^^^EQGHA[ X KLO L M ^^^^EQGHA[ X KLO L M ^^^^EQGHA[ X KLO L M ^^^^EQGHA[ X KLO L M ^^^^EQGHA[ X KLO L M ^^^^EQGHA[ X KLO L M  ^^^^FYF\ Y KLM Y KLM  F\ M ^^^^FKX KLM  FWFZ FXF[ FYF\ FV^ 8GPFFQGPFFQGPFFQ^  FQMP\AUP\AG^^8 FQLP[^^^EFKTWPTQNN^^^  FQKPZPZ
 ⋭⇛ 
࡝ࠬ࠻㈩೉ࠍ૶↪
^ 8 GPFFQGPFFQGPFFQ࿑ 5 㜞ᰴ♖ᐲᏅಽᴺߦ߅ߌࠆࡌࠢ࠻࡞࠴ࡘ࡯࠾ࡦࠣ଀



 5: ਄ߢߩᕈ⢻⹏ଔ੹࿁㧘ᡷ⦟ߒߚ DNS ࠦ࡯࠼ࠍ SX-9 ߦㆡ↪ߒߘߩᕈ⢻ࠍᬌ⸛ߒߚ㧚ߘߩ㓙᧲ർᄢቇࠨࠗࡃ࡯ࠨ
ࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩදജࠍᓧߡ㧘16 ࡁ࡯࠼/256 ਗ೉ߩⅣႺߢታⴕߔࠆߎߣ߇ߢ߈ߚ㧚એਅߦߘߩ
⚿ᨐࠍႎ๔ߔࠆ㧚⴫ 1 SX-9/256CPU ߢߩṶ▚ᕈ⢻


⸘▚ᯏ

ᩰሶᢙ

ታലṶ▚ㅦᐲ

ታⴕല₸(x,y,z)[TFLOPS][%]

2000, 2032, 1920

6.5

24.81

7.7

29.53

ࠬࡍࠢ࠻࡞ᴺ

SX-9/25612 ᰴ♖ᐲਛᔃᏅಽᴺ

SX-9/256

Iwamoto et al.[13]ES/ 2048

2304, 1025, 2048

5.5

33.57

Ishihara et al.[14]ES2/5122048, 1536,2048

6.0

11.54

⴫ 1 ߦ ReW = 2000 ߩ⸘▚᧦ઙਅߢ㧘SX-9/256CPU ࠍ↪޿ߚ႐วߩṶ▚ᕈ⢻ࠍ␜ߔ㧚ࠬࡍࠢ࠻࡞ᴺ
ߦ߅޿ߡ 6.5 TFLOPS, 12 ᰴ♖ᐲᏅಽᴺߦ߅޿ߡ 7.7 TFLOPS ߩታⴕṶ▚ㅦᐲ߇ᓧࠄࠇߡ߅ࠅ㧘12ᰴ♖ᐲਛᔃᏅಽᴺߩ႐วߩታⴕല₸ߪℂ⺰ᕈ⢻ߩ⚂ 30%ߦ㆐ߒߡ޿ࠆ㧚ߎࠇ߹ߢߦႎ๔ߐࠇߡ޿
ࠆࡌࠢ࠻࡞ਗ೉⸘▚ᯏߦ߅ߌࠆ࠴ࡖࡦࡀ࡞ੂᵹ႐ߩ DNS ߩṶ▚ㅦᐲߪ㧘ೋઍ࿾⃿ࠪࡒࡘ࡟࡯࠲

 

!"#$%&'()*+,-./012,34
56789: ;<=>?@0ABCADEFG(ES)2048 ਗ೉਄ߢߩ 5.5 TFLOPS[13]㧘ߘߒߡ 2 ઍ⋡࿾⃿ࠪࡒࡘ࡟࡯࠲(ES2)512 ਗ೉਄ߢߩ 6.0
TFLOPS[14]߇޽ࠆ߇㧘੹࿁ߩṶ▚ㅦᐲߪ㧘ࠬࡍࠢ࠻࡞ᴺ㧘12 ᰴ♖ᐲਛᔃᏅಽᴺߣ߽ߦߎࠇࠄࠍ
਄࿁ߞߡ޿ࠆ(ૉߒ‫ޔ‬࿾⃿ࠪࡒࡘ࡟࡯࠲ߢߩ⸘▚⚿ᨐߪ㧘ოု⋥ᣇะߩ㔌ᢔൻᚻᴺ╬߇⇣ߥߞߡ޿ࠆߚ߼න⚐ߥᲧセߪߢ߈ߥ޿ߎߣߦᵈᗧߔࠆᔅⷐ߇޽ࠆ)㧚

 ࿾⃿ࠪࡒࡘ࡟࡯࠲਄ߢߩᕈ⢻⹏ଔ᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩ⸘▚ᯏࠪࠬ࠹ࡓߦ߅޿ߡߪ㧘ᦨᄢਗ೉ᢙ߇ 256 ߢ޽ࠅ㧘⋡ᮡߢ޽ࠆ 10-100 TFLOPS ߩታⴕṶ▚ㅦᐲࠍᓧࠆߚ߼ߦਇนᰳߥ 1000 ਗ೉ࠍ⿥߃ࠆⅣႺߢߩᕈ⢻⹏ଔߪਇน⢻ߢ޽ࠆ㧚ߘߎߢᶏᵗ⎇ⓥ㐿⊒ᯏ᭴ߩ࿾⃿ࠪࡒࡘ࡟࡯࠲(ES2)਄ߦ߅޿ߡ㧘ࠬࡍࠢ࠻
࡞ᴺߦࠃࠆ DNS ࠦ࡯࠼ࠍㆡ↪ߒߘߩᕈ⢻⹏ଔࠍⴕߞߚ㧚ߥ߅ ES2 ߩ CPU ߪ㧘᧲ർᄢቇߣหߓ SX-9
(CPU ޽ߚࠅ㧘102.3 GFLOPS) ߇↪޿ࠄࠇߡ޿ࠆ߽ߩߩ㧘ࡁ࡯࠼ౝ 8 CPU (ࡔࡕ࡝ 125GB )㧘߹ߚࡁ࡯࠼㑆ធ⛯ߪ㧘᧲ർᄢቇߩࠪࠬ࠹ࡓ߇නᲑࠢࡠࠬࡃ᭴ᚑߥߩߦኻߒ㧘ES2 ߪ 2 Ბߩ Fat-Tree ᭴ᚑߣߥߞߡ޿ࠆ㧚࿑ 6 ߦࠬࡍࠢ࠻࡞ᴺߦ߅ߌࠆ DNS ࠦ࡯࠼ߩ ES2 ෸߮ SX-9 ਄ߢߩṶ▚ㅦᐲࠍ␜ߔ㧚࿑ਛߩ
original ߪ㧘3 ┨ߢㅀߴߚਗ೉ൻᚻᴺߦ߅޿ߡ㧘shift ㅢାㇱಽߦࡁ࡯࠼㑆ࠬࠤࠫࡘ࡯࡝ࡦࠣࠍ↪޿ߥ޿႐วߢ޽ࠅ㧘new ߩᣇߪ㧘ߎߩࠬࠤࠫࡘ࡯࡝ࡦࠣࠍㆡ↪ߒߚࠤ࡯ࠬࠍᗧ๧ߔࠆ㧚᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩ SX-9/256 ਗ೉਄ߢߪ㧘shift ㅢାㇱಽߩࠬࠤࠫࡘ࡯࡝ࡦ
ࠣߩᓇ㗀ߪߐ߶ߤ⋡┙ߚߥ޿߽ߩߩ㧘ES2 ߩ 768 ਗ೉෸߮ 1024 ਗ೉ᤨߦ߅޿ߡߪᄢ߈ߥᡷༀ߇⷗
ࠄࠇߚ㧚ౕ૕⊛ߦߪ㧘ES2/1024 ਗ೉ᤨߦታⴕṶ▚ㅦᐲ 21TFLOPS㧘ታⴕല₸ 20.1%ߩṶ▚ᕈ⢻߇ᓧࠄࠇߡ޿ࠆ㧚
25



20







Rreal[TFLOPS]

15

original (ES2)
original (Tohoku Univ.)
new (ES2)
new (Tohoku Univ.)

10
5
0
0

128

256

384

512
CPUs

640

768

896

1024


࿑ 6 㐿⊒ࠦ࡯࠼ߩᕈ⢻⹏ଔ(ታലṶ▚ㅦᐲ) 㜞ᰴ♖ᐲᏅಽᴺߩ⸘▚♖ᐲߩᬌ⸛
ᦨᓟߦ 6 ᰴ෸߮ 12 ᰴ♖ᐲᏅಽᴺࠍ↪޿ߡ㧘㜞࡟ࠗࡁ࡞࠭ᢙੂᵹ႐ߩ DNS ࠍታⴕߒ㧘ߘߩ♖ᐲߦߟ޿ߡࠬࡍࠢ࠻࡞ᴺߣߩᲧセࠍⴕߞߚ㧚⸘▚᧦ઙߪ㧘㜞࡟ࠗࡁ࡞࠭ᢙੂᵹ႐․᦭ߩᄢⷙᮨ᭴ㅧ
ߩ಴⃻߇⏕⹺ߐࠇߡ޿ࠆੂᵹ࡟ࠗࡁ࡞࠭ᢙ 1000 ߩ႐วࠍኻ⽎ߣߒߚ㧚ᩰሶᢙߪ㧘( x,y,z )ᣇะߦߘ
ࠇߙࠇ㧘( 720, 512,720 )ߣߒߚ㧚ߎߩ႐วߩᩰሶಽ⸃⢻ߪࠬࡍࠢ࠻࡞ᴺߦ߅ߌࠆ DNS ߦ߅޿ߡᦨ
ૐᔅⷐಽ⸃⢻ߢ޽ࠆ㧘'x+=18, 'z+=9 ⒟ᐲߣߥࠆ(਄ઃ߈ᷝ߃ሼ+ߪ៺ᡂㅦᐲߣേ☼ᕈଥᢙߦࠃࠅⷙ
ᩰൻߒߚ୯ߢ޽ࠆߎߣࠍ␜ߔ)㧚߹ߚᲧセߩߚ߼ߦ㧘෸߮ 2 ᰴ♖ᐲਛᔃᏅಽᴺࠍ↪޿ߚ⸘▚߽ⴕߞ ߚ㧚 ࿑ 7 ߦᐔဋㅦᐲ෸߮ੂᵹᒝᐲߩᲧセࠍ␜ߔ㧚2 ᰴ♖ᐲਛᔃᏅಽᴺ ( 2nd FDM ) ߩ႐วߪ㧘ᩰሶ⸃௝ᐲਇ⿷ߩᓇ㗀ߦࠃࠆᐔဋㅦᐲߩᷫዋ߇⷗ࠄࠇࠆ߇㧘6 ᰴ♖ᐲ ( 6th FDM ) ෸߮ 12 ᰴ♖ᐲ (12thFDM ) ߩ႐วߪ㧘ࠬࡍࠢ࠻࡞ᴺߩ⚿ᨐߣ⦟ᅢߦ৻⥌ߔࠆ㧚߹ߚੂᵹᒝᐲߩᲧセߦ߅޿ߡ߽㧘2nd
FDM ߩ႐วߪ㧘ੂࠇߩㆊዊ⹏ଔ߇⷗ࠄࠇࠆ߇㧘6th FDM ෸߮ 12th FDM ߩ႐วߪ㧘ࠬࡍࠢ࠻࡞ᴺ
ߩ⚿ᨐߣቯ㊂⊛ߦ৻⥌ߔࠆ㧚
4

25
+

+

urms
2

wrms+

+

10
5

2nd FDM
6th FDM
12th FDM
PSM

3

+

U

+

15

urms , vrms , wrms

20

2nd FDM
6th FDM
12th FDM
PSM

1

U + = y+U+ = ( 1/0.41 ) ln( y+ ) +5.0

0 0
10

101

102

vrms+

103

0 0
10

101

+

y

102

103

+

y

࿑ 7-(1) ᐔဋㅦᐲಽᏓߩᲧセ        ࿑ 7-(2) ੂᵹᒝᐲಽᏓߩᲧセ࿑ 7 㜞ᰴ♖ᐲᏅಽᴺߩ♖ᐲᬌ⸽

࿑ 8 ߦਥᵹᣇะᄌേㅦᐲߩਥᵹᣇะࠬࡍࠢ࠻࡞ߦᵄᢙࠍ߆ߌߚࠬࡍࠢ࠻࡞(Pre-multiplied
spectrum, PMS)ߩࠦࡦ࠲ࠍ␜ߔ㧚ߎߎߦ❑ゲߪ㧘ᵄ㐳㧘ᮮゲߪ㧘ოု⋥ᣇะ㜞ߐࠍ␜ߒ㧘ਔኻᢙߢࡊࡠ࠶࠻ߐࠇߡ޿ࠆ㧚ታ㛎⊛ᚻᴺߦ߅޿ߡߪ㧘ߎߩਥᵹᣇะᄌേㅦᐲߩਥᵹᣇะࠬࡍࠢ࠻࡞ߦ߅
޿ߡ㧘ᄢⷙᮨ᭴ㅧߩᓇ㗀ࠍ⼏⺰ߔࠆߎߣ߇ᄙߊ㧘ߎߩ‛ℂ㊂ߩౣ⃻ᕈߪ㧘㕖Ᏹߦ㊀ⷐߢ޽ࠆ㧚޿ߕࠇߩࠤ࡯ࠬߦ߅޿ߡ߽㧘ოㄭறߩૐᵄ㐳ㇱಽ(y+=15, Ox+=1000 ⒟ᐲ)ߩੂࠇߩࡇ࡯ࠢㇱಽߪࠃߊ৻⥌ߒߡ޿ࠆ㧚ߒ߆ߒ㧘y+>100, Ox+=10000 ⒟ᐲߩᄢⷙᮨ᭴ㅧߩ㗔ၞߦ߅޿ߡߪ㧘2nd FDM ߩ႐วߪ㧘ࠬࡍࠢ࠻࡞ᴺߩ⚿ᨐߣߩߕࠇ߇⏕⹺ߢ߈ࠆ㧚6th FDM ߩ႐วߦ߅޿ߡߪ㧘kxEuu/uW= 0.6 (ᄖ஥߆ࠄ 3 ᧄ⋡)ߩ࡜ࠗࡦ߇⧯ᐓߕࠇߡ޿ࠆ߽ߩߩಽᏓဳߪࠃߊ৻⥌ߒߡ޿ࠆ㧚৻ᣇ㧘12th FDM ߩ႐วߦ߅޿
ߡߪ㧘ో࡜ࠗࡦߦ߅޿ߡ㧘ࠬࡍࠢ࠻࡞ᴺߩࠤ࡯ࠬߣቯ㊂⊛ߥ৻⥌߇⏕⹺ߢ߈ࠆ㧚߹ߚ 12 ᰴ♖ᐲਛᔃᏅಽᴺߣࠬࡍࠢ࠻࡞ᴺߣߩࠦࠬ࠻Ყセߦ߅޿ߡߪ㧘SX-9/32 ਗ೉ࠍ૶↪ߒߚ႐ว㧘1࠲ࠗࡓࠬ࠹࠶ࡊߩᤨ㑆Ⓧಽߦⷐߔࠆᤨ㑆߇㧘1/3㧘ࡔࡕ࡝㊂߇ 1/2 ⒟ᐲߣߥߞߡ߅ࠅ㧘ᄢⷙᮨ᭴ㅧࠍኻ⽎ߣߒߚ㜞࡟ࠗࡁ࡞࠭ᢙੂᵹ႐ߩ DNS ⸃ᨆߦ߅޿ߡ㧘㜞ᰴ♖ᐲᏅಽᴺ(․ߦ 12 ᰴ♖ᐲਛᔃᏅಽᴺ)ߩఝ૏ᕈ
߇⏕⹺ߢ߈ߚ㧚 ߅ࠊࠅߦ
ᐔᚑ 24 ᐕᐲᢥㇱ⑼ቇ⋭ቇ㓙ᄢⷙᮨᖱႎၮ⋚౒ห೑↪࡮౒ห⎇ⓥ᜚ὐߩ৻Ⅳߣߒߡ㧘⿥ਗ೉⸘▚ᯏࠪࠬ࠹ࡓ(1000 ਗ೉એ਄)ࠍኻ⽎ߣߒߚ MHD ੂᵹ႐ߩ⋥ធᢙ୯⸘▚ᚻᴺ㐿⊒ࠍታᣉߒߚ㧚ߘߩ⚿ᨐ㧘࿾⃿ࠪࡒࡘ࡟࡯࠲/1024 ਗ೉ᤨߦ㧘ࡌࠢ࠻࡞ൻ₸ 99.8%㧘ታⴕല₸ 20%㧘ታⴕṶ▚ㅦ
ᐲ 21 TFLIOPS ࠍ㆐ᚑߒߚ㧚ߐࠄߦࡁ࡯࠼㑆ㅢାࠦࠬ࠻ߩ೥ᷫࠍ⋡⊛ߣߒߡ㧘㜞ᰴ♖ᐲᏅಽᴺߦࠃࠆ⋥ធᢙ୯⸘▚ᚻᴺߩ㐿 

!"#$%&'()*+,-./01+23
456789 :;<=>?/@AB@CDEF⊒ࠍ૬ߖߡታᣉߒߚ㧚ߘߩ⚿ᨐ㧘SX-9/256 ਗ೉ᤨߦ㧘ࡌࠢ࠻࡞ൻ₸ 99.6% ታⴕṶ▚ല 30%㧘ታⴕṶ▚ㅦᐲ 7.7 TFLOPS ࠍ㆐ᚑߒߚ㧚㜞ᰴ♖ᐲᏅಽᴺߩ႐วߪ㧘ࠬࡍࠢ࠻࡞ᴺߣᲧセߒ㧘ᐔဋ㊂෸߮ੂᵹ⛔⸘㊂ߐࠄߦߪ㧘ᄢⷙᮨ᭴ㅧߩౣ⃻ᕈࠍ⏕଻ߒߚ਄ߢ㧘Ṷ▚ㅦᐲߢ 3 ୚㧘ࡔࡕ࡝ࠦࠬ࠻
ࠍඨಽߦ࿶❗ߔࠆߎߣ߇น⢻ߣߥߞߚ㧚એ਄ߦࠃࠅ㧘1000 ਗ೉ࠍ⿥߃ࠆⅣႺߢ㧘਎⇇ᦨㅦⷙᮨߩ㜞ല₸Ṷ▚߇น⢻ߣߥࠅ㧘ᧄᚻᴺߦࠃ
ࠆᩭⲢวἹࡉ࡜ࡦࠤ࠶࠻࠺ࠩࠗࡦ᧦ઙਅߩᾲャㅍ․ᕈߩℂ⸃߇ᄢ᏷ߦㅴዷߔࠆߎߣ߇ᦼᓙߢ߈ࠆ㧚 ᐔᚑ 25 ᐕᐲߪᧄ㐿⊒ࠦ࡯࠼ࠍ↪޿ߡ㧘ᩭⲢวἹࡉ࡜ࡦࠤ࠶࠻࠺ࠩࠗࡦ᧦ઙࠍ✂⟜ߒߚ࡟ࠗࡁ࡞
࠭ᢙ㧘ࡂ࡞࠻ࡑࡦᢙߦ߅ߌࠆ DNS ࠺࡯࠲ࡌ࡯ࠬࠍ᭴▽ߒ㧘MHD ੂᵹᄌ⺞ߦ㑐ߔࠆ✚ว⊛߹ߣ߼෸߮ੂᵹࡕ࠺࡞ߩ⹏ଔࠍⴕ߁੍ቯߢ޽ࠆ㧚log( Ox+)log( Ox+)log( y+)log( y+)(1) 2nd FDM(2) 6th FDM

log( Ox+)log( Ox+)log( y+)(3) 12th FDM

log( y+)(4) spectral࿑ 8 PMS ߩࠦࡦ࠲㧘kxEuu/uW= 0.2(blue), 0.4, 0.6, 0.8, 1.0, 1,2, 1,4, 1,6 ,1.8, 2.0(red) 

 ⻢ㄉ ᧄ⸘▚ߩࡌࠢ࠻࡞࠴ࡘ࡯࠾ࡦࠣ࡮㜞ㅦൻ࡮߅ࠃ߮ߘߩᕈ⢻⹏ଔߦ߅޿ߡ㧘᧲ർᄢቇࠨࠗࡃ࡯ࠨ
ࠗࠛࡦࠬ࠮ࡦ࠲࡯㑐ଥฦ૏ߦ᦭⋉ߥߏᜰዉߣߏදജࠍ޿ߚߛ޿ߚ㧚⸥ߒߡ⻢ᗧࠍ⴫ߔࠆ㧚ෳ⠨ᢥ₂
[1] A. Sagara, O. Motojima, K. Watanabe, S. Imagawa, H. Yamanishi, O. Mitarai, T. Sato, H. Chikaraishi
and FFHR Group, Blanket and Divertor Design for Force Free Helical Reactor (FFHR), Fusion
Engineering and Design, 29 III, 51(1995).
[2] C. Wong, S. Malang, M. Sawan, I. Sviatoslavsky, E.Mogahed, S.Smolentsev, S. Majumdar, B. Merrill,
R. Mattas, M. Friend, J. Bolin, and S. Sharafat, Molten salt self-cooled solid first wall and blanket design
based on advanced ferritic steel, Fusion Eng. Des. 72, 245(2004).
[3] J. Takeuchi, S. Stake, N B. Morley, T. Kunugi, T. Yokomine, M. Abdou, Experimental study of MHD
effects on turbulent flow of Flibe simulant fluid in circular pipe, Fusion Eng. Des. 83 (2008) 1082.
[4] Y.Simomura,“Large eddy simulation of magnethydrodynamic turbulent channel flows under a uniform
magnetic field“, Phys. Fluids A 3, 3098(1991).
[5]Y.Yamamoto and T. Kunugi, Discussion on heat transfer correlation in turbulent channel flow imposed
wall-normal magnetic field, Fusion Engineering and Design 86 (2011) 2886.
[6]Y.Yamamoto and T. Kunugi, Direct numerical simulation of a high-Froude number turbulent
open-channel flow, Physics of Fluids(2011), Vol.23, 12510810.
[7] S. Satale, T. Kunugi, K. Takase, and Y. Ose, Direct numerical simulation of turbulent flow under auniform magnetic field for large-scale structures at high Reynolds number, Phys. Fluids 18, 125106(2006).
[8]Y. Morinishi, T. Lund, O. Vasilyev, and P. J. Moin, Fully conservative higher order finite difference
schemes for incompressible flow J. Computational Physics 143(1998) 90.
[9]S. Smolentsev, ᩭⲢวࡉ࡜ࡦࠤ࠶࠻ߦ߅ߌࠆ MHD ੂᵹ߅ࠃ߮⥄ὼኻᵹ, J. Plasma Fusion Res.
Vol.85, No.8 (2009), pp.556-557.
[10] Y. Yamamoto and T. Kunugi, Direct Numerical Simulation of MHD Turbulent Flows with High-Pr
Heat Transfer, Progress in Nuclear Science and Technology 2 (2011), 550.
[11] ᄢᴰஜᴦ㧘ᳯᎹ㓉テ㧘દ⮮⧷৻㧘ጟㇱ౏⿠㧘ዊᨋᐢ᣿㧘ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ࠪࠬ࠹ࡓ SX-9
ߩ⚫੺ߣᕈ⢻⹏ଔ㧘SENAC, Vol. 42-1, (2009).
[12]ዊᨋᐢ᣿, Ṛᴛኡਯ, ዊਭ଻㆐ା, ጟㇱ౏⿠㧘દ⮮⧷৻, ዊᨋ⟵ᤘ㧘ᵻ⷗ᥙ㧘ዊᨋ৻ᄦ,ᓟ⮮⸥৻㧘 ᶏஜ੫㧘ᷓ↰ᄢテ, HPC ࠴ࡖ࡟ࡦࠫߢߩ SX ࠪࠬ࠹ࡓߩᕈ⢻⹏ଔ, SENAC Vol.38 No.1,(2005-1).
[13]K. Iwamoto, N. Kasagi, and Y. Suzuki, Direct numerical simulation of turbulent channel flow at ReW =2320, Proc. 6th Symp. Smart Control of Turbulence, Tokyo, March 6-9, 2005.
[14] ⍹ේථ㧘ጤᧄ⮍㧘↰᧛ື㇢㧘Ꮉญ㕏ᄦ㧘ੂᵹߩ਎⇇ᦨᄢⷙᮨ⋥ធᢙ୯⸘▚ߣࡕ࠺࡝ࡦࠣߦࠃࠆ ᔕ ↪ ⸘ ▚ 㧘 ᐔ ᚑ 24 ᐕ ᐲ ࿾ ⃿ ࠪ ࡒ ࡘ ࡟ ࡯ ࠲ ೑ ↪ ႎ ๔ ળ ⊒ ⴫ ⾗ ᢱ (2013) 㧘
http://www.jamstec.go.jp/esc/projects/fy2012/23-ishihara.html

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






㜞ᯏ⢻ᢙ୯⸘▚࡮นⷞൻᯏ⢻࠰ࡈ࠻/#6.#$ ߩၮᧄ⊛ߥ૶޿ᣇ
㩷
⑺↰⋵┙ᄢቇ 㒸 ࿖べ᧲ർᄢቇᖱႎㇱᖱႎၮ⋚⺖ ౒ห೑↪ᡰេଥ᭎ⷐ

MATLAB ߪ‫ޔ‬㜞ᯏ⢻ߥᢙ୯⸘▚ᯏ⢻ߣᄙᓀߥนⷞൻᯏ⢻ࠍ஻߃ߚᛛⴚ⸘▚࠰ࡈ࠻࠙ࠚࠕߢߔ‫⑼ޕ‬ቇ⊛‫ޔ‬Ꮏቇ⊛ಽ㊁ߩ᭽‫ߥޘ‬ᢙ୯⸘▚ ․ߦⴕ೉Ṷ▚ ‫⸃࠲࡯࠺ޔ‬ᨆ‫⛔ߩ߼ߚߩࡦ࡚ࠪ࡯࠯ࠗ࡜ࠕࡘࠫࡆ߮ࠃ߅ޔࡦ࡚ࠪ࡯࡟ࡘࡒࠪޔ‬วⅣႺࠍឭ
ଏߒߡ޿߹ߔ‫ޔߚ߹ޕ‬MATLAB ߪ㜞ᕈ⢻ߥᢙ୯⸘▚ᯏ⢻ࠍᜬߟ߫߆ࠅߢߥߊ‫ޔ‬ᄙᓀߥนⷞൻᯏ⢻ࠍ஻߃ߡ߅ࠅ‫⚿▚⸘ޔ‬ᨐࠍ◲නߦࠣ࡜ࡈߦ⴫␜ߔࠆߎߣ߇ߢ߈߹ߔ‫ޕ‬੹࿁ߪ‫ޔ‬MATLAB ߩၮᧄ⊛ߥ૶޿ᣇࠍ⚫੺ߒ߹ߔ‫ޕ‬ࠠ࡯ࡢ࡯࠼㧦㜞ᯏ⢻ߥᢙ୯⸘▚‫ⴕޔ‬೉Ṷ▚‫ޔ‬นⷞൻᯏ⢻‫ࡈ࡜ࠣޔ‬ಣℂ㧝 ߪߓ߼ߦ
MATLAB ߪ‫ޔ‬ኾ㐷ߩࡊࡠࠣ࡜ࡑ߿ࠦࡦࡇࡘ࡯࠲ߦ⹦ߒ޿ੱߛߌߢߪߥߊ‫ߩ⥸৻ޔ‬೑↪⠪ߦ߽㜞ᰴߥᯏ⢻߇◲නߦ૶߃ࠆࠃ߁ߦ૞ࠄࠇߡ޿߹ߔ‫ޔ߼ߚߩߎޕ‬ᰴߦ޽ߍࠆࠃ߁ߥ․ᓽࠍ߽ߞߡ޿߹ߔ‫ޕ‬
࡮MATLAB ߣ޿߁ฬ⒓߇̌matrix laboratory̍ߩ⇛⒓ߣ޿߁ߛߌ޽ߞߡ‫ⴕޔߦ․ޔ‬೉ߣࡌࠢ࠻࡞ߩ
⸘▚ߪ‫ޔ‬ᢙቇ⊛ߥ⸥ㅀߦㄭ޿⴫⃻ߢ◲නߦṶ▚ߢ߈߹ߔ‫ޔ߼ߚߩߎޕ‬Fortran‫ޔ‬Basic‫ޔ‬C ߣ޿ߞߚ⸒⺆ߢࡊࡠࠣ࡜ࡓࠍ⸥ㅀߔࠆߩߦⷐߔࠆᤨ㑆ߣᲧߴ‫ޔ‬MATLAB ߪ㕖Ᏹߦዋߥ޿ᤨ㑆ߢᄙߊߩ໧
㗴ࠍ⸃ߊߎߣ߇น⢻ߣߥࠅ߹ߔ‫ޔߦ․ޕ‬ᄢⷙᮨߥⴕ೉⸘▚ߪ‫ޔ‬MATLAB ߇ᧄ᧪ᓧᗧߣߔࠆߣߎࠈ
ߢ޽ࠅ߹ߔ‫ޕ‬࡮ᢙ୯ታ㛎ߩ⚿ᨐࠍ 2 ᰴర߅ࠃ߮ 3 ᰴర࿑㕙ߢ◲නߦ⴫␜ߢ߈ࠆߣหᤨߦ‫࡞ࠗࠔࡈޔ‬಴ജ߿ශ೚಴
ജ߇ߢ߈߹ߔ‫࡞ࠗࠔࡈޕ‬಴ജߒߚ࿑㕙ࠍᢥᦠ✬㓸ᷡᦠࡊࡠࠣ࡜ࡓ TeX ߩ౉ജߣߔࠆߎߣ߇ߢ߈߹
ߔ‫ޕ‬࡮ኻ⹤ဳߩታⴕߦࠃࠅ‫ߩ࡞࠺ࡕޔ‬ᄌᢙ߿ࡄ࡜ࡔ࡯࠲ࠍ⒳‫ޘ‬ᄌᦝߒߡᢙ୯ታ㛎߇ߢ߈߹ߔ‫ޕ‬࡮૶޿ᣇߦߟ޿ߡߪ‫ޔ‬ᔅⷐߥᤨὐߢ᩺ౝᖱႎࠍ↹㕙ߦ಴ߔߎߣߦࠃߞߡ‫ޔ‬ᭂജᚻᒁᦠߦ㗬ࠄߕߦߔ߻ࠃ߁ help ࠦࡑࡦ࠼ߦࠃࠆࠝࡦ࡜ࠗࡦࡑ࠾ࡘࠕ࡞߇ቢ஻ߒߡ޿߹ߔ‫ޕ‬࡮࠷࡯࡞ࡏ࠶ࠢࠬߣ๭߫ࠇࠆ․ቯಽ㊁ߩ⸃ᴺࠍ㓸߼ߚࠫࡘ࡯࡞ࠍ⚵ߺㄟ߻ߎߣߦࠃࠅ‫ޔ‬ኈᤃߦᯏ⢻᜛ᒛࠍⴕ߁ߎߣ߇ߢ߈‫ޔ‬ኾ㐷⊛ߥ೑↪ߦ߽ᨵエߦኻᔕߢ߈߹ߔ‫ޕ‬
MATLAB ߪࠦࠕࡕࠫࡘ࡯࡞ߩ MATLAB ࠍਛᔃߣߒߡ‫ߩ࠲࡯࡟ࡘࡒࠪࡓ࡜ࠣࠕࠗ࠳ࠢ࠶ࡠࡉޔ‬Simulink‫ ߮ࠃ߅ޔ‬Toolbox ߣ๭߫ࠇࠆࠕࡊ࡝ࠤ࡯࡚ࠪࡦࡕࠫࡘ࡯࡞߆ࠄ᭴ᚑߐࠇߡ޿߹ߔ‫࡯࠲ࡦ࠮ᧄޕ‬ߢߪᰴߩ Toolbox ࠍ૶↪ߢ߈߹ߔ‫ޕ‬ 

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

㧖Communications System Toolbox㧦ㅢାࠪࠬ࠹ࡓߩ⸳⸘‫⸃ޔ‬ᨆ㧖Control System Toolbox㧦✢ᒻ೙ᓮࠪࠬ࠹ࡓߩ⸳⸘‫⸃ޔ‬ᨆ
㧖Curve Fitting Toolbox㧦ᢙᑼㄭૃ࠷࡯࡞
㧖DSP System Toolbox㧦ାภಣℂࠪࠬ࠹ࡓߩ⸳⸘ߣࠪࡒࡘ࡟࡯࡚ࠪࡦ
㧖Fixed-Point Toolbox㧦࿕ቯዊᢙὐ࠺࡯࠲࠲ࠗࡊߣṶ▚ᯏ⢻ࠍឭଏ㧖Fuzzy Logic Toolbox㧦ࡈࠔࠫ࡯ℂ⺰ߦၮߠߊࠪࠬ࠹ࡓߩ⸳⸘‫⸃ޔ‬ᨆ㧖Image Processing Toolbox㧦↹௝ಣℂ‫⸃ޔ‬ᨆ‫ޔ‬นⷞൻ߅ࠃ߮ࠕ࡞ࠧ࡝࠭ࡓ㐿⊒ߩߚ߼ߩࠣ࡜ࡈࠖࠞ࡞ ࠷࡯࡞㧖MATLAB Coder㧦MATLAB ࠦ࡯࠼߆ࠄࠬ࠲ࡦ࠼ࠕࡠࡦߩ C ࠦ࡯࠼ߣ C++ ࠦ࡯࠼ࠍ↢ᚑ㧖MATLAB Compiler㧦MATLAB ࠕࡊ࡝ࠤ࡯࡚ࠪࡦࠍታⴕࡈࠔࠗ࡞‫↢ߡߒߣ࡝࡜ࡉࠗ࡜᦭౒ޔ‬ᚑ㧖Model Predictive Control Toolbox㧦੍᷹೙ᓮࠪࠬ࠹ࡓߩ⸳⸘‫⸃ޔ‬ᨆ㧖Neural Network Toolbox㧦࠾ࡘ࡯࡜࡞ࡀ࠶࠻ࡢ࡯ࠢℂ⺰ࠍ↪޿ߚⶄ㔀㕖✢ᒻ੐⽎ߩࡕ࠺࡝ࡦࠣ
㧖Optimization Toolbox㧦ᮡḰ⊛߅ࠃ߮ᄢⷙᮨߥᦨㆡൻߦᐢߊ૶↪ߐࠇࠆࠕ࡞ࠧ࡝࠭ࡓࠍឭଏ
㧖Partial Differential Equation Toolbox㧦஍ᓸಽᣇ⒟ᑼߩ⸃ᴺ࠷࡯࡞
㧖Robust Control Toolbox㧦ࡠࡃࠬ࠻ᕈߩ⹏ଔ‫⸃ޔ‬ᨆ㧖Signal Processing Toolbox㧦ࠕ࠽ࡠࠣ߅ࠃ߮࠺ࠫ࠲࡞ାภಣℂ (DSP) ߩࠕ࡞ࠧ࡝࠭ࡓࠍឭଏ
㧖Simulink Coder㧦Simulink ࠳ࠗࠕࠣ࡜ࡓ‫ ߮ࠃ߅ޔ‬MATLAB 㑐ᢙ߆ࠄ C ࠦ࡯࠼ߣ C++ ࠦ࡯࠼ࠍ↢ᚑ
㧖Simulink Control Design㧦Simulink ߢࡕ࠺࡞ൻߐࠇߚ೙ᓮࠪࠬ࠹ࡓߩ⸳⸘ߣ⸃ᨆ
㧖Simulink Design Optimization㧦Simulink ߢࡕ࠺࡞ൻߐࠇߚ೙ᓮࠪࠬ࠹ࡓߩᢙ୯ᦨㆡൻ
㧖Simulink Fixed Point㧦Simulink ࡊࡠ࠳ࠢ࠻ࡈࠔࡒ࡝ߢ࿕ቯዊᢙὐᯏ⢻߇೑↪น⢻
㧖Simulink Verification and Validation㧦Simulink ߢࡕ࠺࡞ൻߐࠇߚ೙ᓮࠪࠬ࠹ࡓߩ⏕⹺‫ޔ‬ᬌ⸽߅ࠃ߮࠹ࠬ࠻
㧖Statistics Toolbox㧦࠺࡯࠲ߩᢛℂ‫⸃ޔ‬ᨆ‫ࠍ࡞࡯࠷ߣࡓ࠭࡝ࠧ࡞ࠕߩ߼ߚߩࠣࡦ࡝࠺ࡕ߮ࠃ߅ޔ‬ឭଏ㧖Symbolic Math Toolbox㧦ᢙᑼಣℂߣนᄌ♖ᐲṶ▚ࠍⴕ߁ߚ߼ߩ࠷࡯࡞ࠍឭଏ
㧖System Identification Toolbox㧦᷹ቯߐࠇߚ౉಴ജ࠺࡯࠲߆ࠄേ⊛ࠪࠬ࠹ࡓߩᢙቇࡕ࠺࡞ࠍ᭴▽㧖Wavelet Toolbox㧦࠙ࠚ࡯ࡉ࡟࠶࠻ᄌ឵ࠍ↪޿ߚ↹௝ಣℂ‫⸃ޔ‬ᨆ‫ޔ‬นⷞൻ࠷࡯࡞

੹࿁‫ޔ‬MATLAB ߩ౉㐷ߣߒߡ‫ߩߘޔ‬ၮᧄ⊛ߥ೑↪ᴺߣ૶↪଀ࠍᐞߟ߆⚫੺ߒ߹ߔ‫ޕ‬Simulink ߣ
Toolbox ߦߟ޿ߡߪ‫ޔ‬ᰴߩᯏળߦ⚫੺ߔࠆߎߣߦ޿ߚߒ߹ߔ‫ޕ‬㧞 MATLAB ࠍ૶߁ߚ߼ߦ
2.1 ၮᧄ⊛ߥⅣႺ⸳ቯ
MATLAB ߪ‫ ߩ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬gen ߣ޿߁ฬߩਗ೉ࠦࡦࡇࡘ࡯࠲ߦࠗࡦࠬ࠻࡯࡞ߐࠇ
ߡ޿߹ߔ‫ޔߪߢߎߎޕ‬೑↪⠪ߩᣇ߇‫⥄ޔ‬ಽߩ૶↪ߒߡ޿ࠆࡢ࡯ࠢࠬ࠹࡯࡚ࠪࡦ޽ࠆ޿ߪ X ┵ᧃ߆ࠄ gen߳࡝ࡕ࡯࠻ࡠࠣࠗࡦߒߡ೑↪ߔࠆߎߣࠍᗐቯߒߡ⹤ࠍㅴ߼߹ߔ‫ౕޕ‬૕⊛ߥ଀ࠍਅߦ␜ߒ߹ߔ‫ޕ‬ssh ࠦࡑ
ࡦ࠼ߩ X11Forwarding ᯏ⢻ࠍ᦭ലߦߒߡ‫ޔ‬gen ߦធ⛯ߒ߹ߔ‫ޕ‬ 

!"#$%&'()*+,-./0% ssh –X ೑↪⠪⇟ภ@gen.isc.tohoku.ac.jp

<R>




ᵈ㧦㆙㓒ࡎࠬ࠻ gen ߳ធ⛯

The authenticity of host 'gen.isc.tohoku.ac.jp (xx.xx.xx.xx)' can't be established. RSA key fingerprint is
fd:c2:9a:11:xx:xx:xx:xx:xx:xx:xx:xx:xx:cd:53:9f.
ᵈ㧦ೋ࿁ធ⛯ᤨߩߺߩ໧วߖ
Are you sure you want to continue connecting (yes/no)? yes
Warning: Permanently added 'gen.isc.tohoku.ac.jp,xx.xx.xx.xx' (RSA) to the list of known hosts.
೑↪⠪⇟ภ@gen.isc.tohoku.ac.jp's password: ࡄࠬࡢ࡯࠼

ᵈ㧦ࡄࠬࡢ࡯࠼ࠍ౉ജ

Last login: Mon Apr 1 09:26:11 2012 from yyy.yyy.tohoku.ac.jp 4 ᦬ 1 ᣣ 13:29:59 JST 2012[೑↪⠪⇟ภ@gen ~]$ᵈ㧦ࠦࡑࡦ࠼౉ജᓙߜ

ᵈ㧦㧨R㧪ߪ࡝࠲࡯ࡦ(ᡷⴕ)ߩᗧ๧ߢ‫ޔ‬એਅߢ߽หߓᗧ๧ࠍ⴫ߒ߹ߔ
2.2

MATLAB ߩ⿠േߣ⚳ੌ

MATLAB ߩ⿠േߦߪ‫ޔ‬matlab ߣ޿߁ࠦࡑࡦ࠼ࠍ૶↪ߒ߹ߔ‫↹ࡘࠪ࠶࡜ࡊࠬޕ‬㕙ߩ⴫␜ߩᓟ‫ޔ‬GUI࠙ࠖࡦ࠼࠙߇⴫␜ߐࠇ߹ߔ‫ޕ‬ ࠬࡊ࡜࠶ࠪࡘ↹㕙߇⴫␜ߐࠇߥ޿႐วߪ‫ ߢᧃ┵࡞ࠞ࡯ࡠޔ‬X ⅣႺ߇૶↪ߢ߈ࠆߎߣߣ‫ޔ‬ssh ࠦࡑࡦ࠼ࠍౣ⏕⹺ߔࠆࠃ߁ߦߒߡߊߛߐ޿‫ ߪ>>ޔߢߎߎޕ‬MATLAB ߩ౉ജଦㅴ⸥ภ(ࡊࡠࡦࡊ࠻)ߢߔ‫ޔ߫߃଀ޕ‬MATLAB ࠍ⚳ੌߒߚ޿႐วߦߪ‫ޔ‬quit ޽ࠆ޿ߪ exit ࠍ౉ജߔࠇ߫⚳ੌߒ߹ߔ‫ ߥ߁ࠃߩߎޕ‬quit ߿ exitߥߤࠍ‫ޕߔ߹޿޿ߣ࠼ࡦࡑࠦޔ‬ 

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

3 ᢙ୯⸘▚
3.1

ၮᧄṶ▚ᢙ୯⸘▚ߩ႐วߪ‫ޔ‬MATLAB ਄ߢߘߩ߹߹౉ജߒߡ◲නߦṶ▚ߢ߈߹ߔ‫ޕ‬೑↪น⢻ߥṶ▚ሶߣ㑐ᢙ
ࠍઃ㍳ߦ⸥ߒ߹ߔ‫ޕ‬એਅߢߪ‫ޔ‬ᑼ(1) (2)ࠍ೑↪ߒߡ‫▚⸘ޔ‬ᣇᴺࠍ␜ߒ߹ߔ‫ޕ‬5(3  4)2>> 5*(3+4)/2
<R>
ans =
17.5000>> x = 3, y = 2, z = 1.5
X=
3
y=
2
Z=
1.5000>> (x^2+y^5)/sin(z) <R>
ans =41.1030<R>( x2  y5 )    (ೋᦼ୯ xsin( z )

3.2

(1)

3y

2 z 1.5 )        (2)ࡌࠢ࠻࡞࡮ⴕ೉ߩṶ▚ࡌࠢ࠻࡞࡮ⴕ೉ߩṶ▚߇‫ޔ‬ᢙቇ⊛ߥ⸥ㅀߦㄭ޿ᒻߢⴕ߃ࠆߩ߇‫ޔ‬MATLAB ߩᄢ߈ߥ․ᓽߩ৻ߟߢߔ‫ޕ‬ߘߎߢ‫ޔ‬એਅߢߪ‫ޔ‬ᑼ(3)ߦ␜ߔⴕ೉Ṷ▚ࠍ‫ޔ‬MATLAB ਄ߢታ⃻ߔࠆᣇᴺߦߟ޿ߡ⚫੺ߒ߹ߔ‫ޕ‬AX

32 ·§ x1 ·
§ 1
¨
¸¨ ¸
B     ¨ 5 1.2 3.4 ¸¨ x 2 ¸¨1.5 4 5.1 ¸¨ x3 ¸©
¹© ¹

§ 6 .1 ·¨ ¸¨ 4 ¸                (3)¨ 5 .8 ¸© ¹એਅߦ␜ߔࠃ߁ߦ‫ޔ‬MATLABߪⴕ೉ߩᏀ㒰▚(\㧦ࡃ࠶ࠢࠬ࡜࠶ࠪࡘ)ࠍឭଏߒߡ޿߹ߔ‫ ޕ‬A ߇ᱜᣇⴕ೉ߥࠄ߫‫ ⸃ޔ‬X ߪ A \ B (ᣇᴺ㧞)ߢ᳞߼ߚ߽ߩߣ inv(A) B (ᣇᴺ㧝)ߢ᳞߼ߚ߽ߩߣ߶߷หߓߢߔ߇⸘▚ᣇᴺߪ⇣ߥࠅ߹ߔ‫ ޕ‬A ߇nⴕn೉ߢ㧮߇n୘ߩ೉ࡌࠢ࠻࡞߆n୘ߩ೉ⴕ೉ߥࠄ߫‫ ޔ‬X

AX

A \ B ߪᣇ⒟ᑼB ࠍࠟ࠙ࠬᶖ෰ߢ⸘▚ߒߚ⸃ߦߥࠅ߹ߔ‫ ޕ‬A ߩࠬࠤ࡯࡝ࡦࠣ߇ᖡ߆ߞߚࠅ‫⇣․ޔ‬ὐߦㄭ߆ߞߚࠅ

ߔࠆߣ⼊๔ࡔ࠶࠮࡯ࠫ߇⴫␜ߐࠇ߹ߔ‫ޕ‬䎃 A ߇mⴕn೉(mҁn)ߢ B ߇m୘ߩ೉ࡌࠢ࠻࡞߆m୘ߩ೉ⴕ೉ߥࠄ߫‫ ޔ‬Xᑼߩᢙ߇৻⥌ߒߥ޿ᣇ⒟ᑼ AX

A \ B ߪᧂ⍮ᢙߩᢙߣᣇ⒟B ߩᦨዊੑਸ਼⊛ߥ⸃ߦߥࠅ߹ߔ‫ޕ‬A ߩ࡜ࡦࠢkߪࡇࡏ࠶࠻ࠍⴕߞߚQR

ಽ⸃߆ࠄ᳞߼ࠄࠇ߹ߔ‫ ⸃ޕ‬X ߪ‫ޔ‬k୘ߩ࠯ࡠߢߥ޿ᚑಽࠍᜬߜ߹ߔ‫ޕ‬k㧨nߢ޽ࠇ߫‫ޔ‬X

A \ B ߪㅢᏱ‫ޔ‬ᦨዊᱷᏅࡁ࡞ࡓ AX  B ߦࠃࠆᦨዊੑਸ਼⸃ߢ޽ࠆ pinv(A) B ߣหߓ⸃ߦߪߥࠅ߹ߖࠎ‫ޕ‬ 

!"#$%&'()*+,-./0>> C=[6.1 4 5.8]<R>ᵈ㧦ࡌࠢ࠻࡞ߩ౉ജ (ᣇᴺ㧝)C=
6.10004.00005.8000   ᵈ㧦’ ߪォ⟎ߩṶ▚ሶ>> B = C’<R>
B=
6.10004.00005.8000>> B2 = [ 6.1
<R>
4
<R>
5.8]
<R>         ᵈ㧦ࡌࠢ࠻࡞ߩ౉ജ (ᣇᴺ㧞)
B2 =6.10004.00005.8000>> A = [1 3 2; 5 1.2 3.4; 1.5 4 5.1]        ᵈ㧦ⴕ೉ߩ౉ജ (ᣇᴺ㧝)A=
1.00003.00002.00005.00001.20003.40001.50004.00005.1000>> A1 = [1 3 2; 5 1.2 3.4; 1.5 4 5.1]        ᵈ㧦ⴕ೉ߩ౉ജ (ᣇᴺ㧝)ᵈ㧦ᢥߩ⚳ࠊࠅߦ㧧ࠍ౉ࠇࠆߣߘߩ୯ߪ↹㕙ߦ⃻ࠇߥ޿>> A2 = [1 3 2<R>
5 1.2 3.4<R>
1.5 4 5.1]
<R>            ᵈ㧦ⴕ೉ߩ౉ജ (ᣇᴺ㧞)A2 =1.0000 3.0000 2.0000
5.0000 1.2000 3.4000
1.5000 4.0000 5.1000>> eig( A )<R>            ᵈ㧦ⴕ೉ A ߩ࿕᦭୯ans =9.0284-2.9432
1.2148>> X = inv(A)*B <R>ᵈ㧦ࡌࠢ࠻࡞ X ߩ⸃(ᣇᴺ㧝)
X =                 (ߎߩᣇᴺߪ‫ޔ‬ㅢᏱ⦟޿ᣇᴺߢߪ޽ࠅ߹ߖࠎߩߢ‫ߏޔ‬ᵈᗧ㧍)
0.91662.4089-1.0217>> X = A \ B<R>            ᵈ㧦ࡌࠢ࠻࡞ X ߩ⸃ (ᣇᴺ㧞)X=
0.91662.4089-1.0217>> max(X)<R>            ᵈ㧦ࡌࠢ࠻࡞ X ߩⷐ⚛ߩᦨᄢ୯ans =2.4089>> mean(X)<R>            ᵈ㧦ࡌࠢ࠻࡞ X ߩⷐ⚛ߩᐔဋ୯ans =0.7679>> n=length(X) <R>            ᵈ㧦ࡌࠢ࠻࡞ X ߩⷐ⚛ߩ㐳ߐn=3>> x2 = X(2)<R>            ᵈ㧦ࡌࠢ࠻࡞ X ߩ㧞⇟⋡ߩⷐ⚛
x2 =2.4089

3.3

 
ⶄ⚛ᢙ MATLABߢߪ‫⚛ⶄޔ‬ᢙࠍߔߴߡߩṶ▚߿㑐ᢙߦ߅޿ߡ૶↪ߔࠆߎߣ߇ߢ߈߹ߔ‫⯯ޕ‬ᢙ⴫⃻ߣߒߡߪ‫ޔ‬i ߣ j ߩߤߜࠄ߽⸵ኈߐࠇ߹ߔ‫৻ޕ‬ᣇ‫ޔ‬i ߿ j ࠍታᄌᢙߣߒߡ೑↪ߔࠆߎߣ߽น⢻ߢߔ‫ߢࠄߜߤޕ‬೑↪ߒߡ޿ࠆߩ߆ߪ‫⃻⴫ޔ‬ᣇᴺ߿ߘࠇ߹ߢߩᵹࠇߥߤ߆ࠄMATLAB߇⥄േ⊛ߦ⸃㉼ߒ߹ߔߩߢ‫ࠍࠄࠇߘޔ‬ᷙหߒߥ޿ࠃ߁ߦᵈᗧߔࠆᔅⷐ߇޽ࠅ߹ߔ‫ޕ‬એਅߢߪ‫ޔ‬MATLAB਄ߢⶄ⚛ᢙṶ▚ߩ଀ࠍᑼ(4)(5)ࠍ↪޿ߡ␜ߒ߹ߔ‫ޕ‬A

Z1 3  4i
§1 2·
§5
¨¨
¸¸  i ¨¨
©3 4¹
©7

6·
¸
8 ¸¹

B

Z 2 1  7i
§ 3  2· § 7  3·¨¨¸¸  i¨¨
¸¸

4
8
1

2
©
¹ ©
¹

>> z1 = 3+4*i
z1 =3.0000 + 4.0000i>> z2 = 1-7*j
z2 =1.0000 – 7.0000i>> z1+z2
ans =4.0000 – 3.0000i>> z1*z2
ans =31.0000 – 17.0000i>> z1 / z2
ans =-0.5000 + 0.5000i>> A = [ 1 2 ; 3 4 ] + i*[ 5 6 ; 7 8]ᵈ㧦ⶄ⚛ᢙⴕ೉ߩ౉ജ(ᣇᴺ㧝)A=
1.0000 + 5.0000i 2.0000 + 6.0000i
3.0000 + 7.0000i 4.0000 + 8.0000i>> B = [ 3+7i -2-3i ; -4+1j 8-2j ]    ᵈ㧦ⶄ⚛ᢙⴕ೉ߩ౉ജ(ᣇᴺ㧝)B=
3.0000 + 7.0000i -2.0000 – 3.0000i-4.0000 + 1.0000i 8.0000 – 2.0000i>> eig ( A*B )               ᵈ㧦ⶄ⚛ᢙⴕ೉ A*B ߩ࿕᦭୯ans =-0.7101 – 4.5909i     
17.7101 +37.5909i>>real(eig(A*B))ᵈ㧦࿕᦭୯ߩታᢙㇱans =-0.710117.7101          >> imag( eig(A*B) )ᵈ㧦࿕᦭୯ߩ⯯ᢙㇱ
ans =        -4.5909               
37.5909>> abs( eig(A*B) )ᵈ㧦࿕᦭୯ߩ⛘ኻ୯
ans =                 
4.645541.5539

(4)
(5)


 


!"#$%&'()*+,-./01ࡈࠔࠗ࡞ߣ࠺࡯࠲ߩ౉಴ജ

4

MATLABߢߪ‫ޔ‬saveߣloadߣ޿߁ࠦࡑࡦ࠼ߦࠃߞߡ‫ޔ‬MATLABߢ૶↪ߒߡ޿ߚߣ߈ߩᄌᢙࠍ࠺ࠖࠬ
ࠢ਄ߦᦠ߈ㄟࠎߛࠅ‫ߺ⺒ޔ‬ㄟࠎߛࠅߔࠆߎߣ߇ߢ߈߹ߔ‫ޕ‬એਅߢߪ‫ޔ‬loadࠦࡑࡦ࠼ߦࠃࠅࡈࠔࠗ࡞߆ࠄ
MATLAB਄߳ASCII࠺࡯࠲ࠍ⺒ߺㄟ߻ᣇᴺࠍ⺑᣿ߒ߹ߔ‫ߪ࡞ࠗࠔࡈ࠲࡯࠺ޔ߹޿ޕ‬sam1.dat, sam2.dat,sam3.datߣߒ߹ߔ‫ޕ‬1) sam1.datߣ޿߁ࡈࠔࠗ࡞ߩౝኈ(ᰴߩ࠺࡯࠲߇৻ⴕߦᦠ߆ࠇߡ޿ࠆߎߣߦᵈᗧ)㧦
0.0 0.3 0.95

-0.4 0.4 0.2-0.3

0.0 0.3 0.0 -0.2

0.1 0.0

0.0

0.0

0.0

2) sam2.datߣ޿߁ࡈࠔࠗ࡞ߩౝኈ(ᰴߩ࠺࡯࠲߇7ⴕߦᦠ߆ࠇߡ޿ࠆߎߣߦᵈᗧ)㧦
0
3
9
5
-4
2
-3
3) sam3.datߣ޿߁ࡈࠔࠗ࡞ߩౝኈ(5ⴕ3೉ߩ࠺࡯࠲ߢߔ)㧦
1.1
2.1
3.1
4.1
5.1

1.2
2.2
3.2
4.2
5.2

1.3
2.3
3.3
4.2
5.3

એ਄3ߟߩ࠺࡯࠲ࡈࠔࠗ࡞ߦߟ޿ߡ‫ޔ‬MATLAB਄߳ࠦࡑࡦ࠼loadߦࠃࠅASCII࠺࡯࠲ࠍ⺒ߺㄟࠎߛ⚿ᨐࠍᰴ㗁ߦ␜ߒ߹ߔ‫ޕ‬߹ߚ‫ޔ‬MATLABߢ߽C⸒⺆ߩࠃ߁ߦ‫ޔ‬freadߣfscanfࠦࡑࡦ࠼ߦࠃࠅ‫߿࠲࡯࠺࡝࠽ࠗࡃࠄ߆࡞ࠗࠔࡈޔ‬ᦠᑼઃ߈࠺࡯࠲ࠍ⺒ߺㄟ߻ߎߣ߇ߢ߈߹ߔ‫ޕ‬ㅒߦ‫ᦠ߿࠲࡯࠺࡝࠽ࠗࡃ߳࡞ࠗࠔࡈޔ‬ᑼઃ߈࠺࡯࠲ࠍᦠ߈
ㄟ߻႐วߦߪ‫ޔ‬fwriteߣfscanfࠦࡑࡦ࠼ࠍ↪޿߹ߔ‫↪૶޿ߒ⹦ޕ‬ᴺߦߟ޿ߡߪ‫ࠍ࡞ࠕࡘ࠾ࡑޔ‬ෳᾖߒߡߊߛߐ޿‫ޕ‬>> load sam1.dat>> sam1
sam1 =
Columns 1 through 7
0 0.30000.9500Columns 8 through 14
0 0.3000
0
Columns 15 through 1600>>load sam2.dat>>sam2sam2 =
0
3
9
5
-4
2
-3
0
>> load sam3.dat>> sam3
sam3 =
1.10001.20001.30002.10002.20002.30003.10003.20003.30004.10004.20004.30005.10005.20005.3000 


-0.4000

0.40000.2000-0.3000-0.2000

0.10000

0

5 ࠬࠢ࡝ࡊ࠻ࡈࠔࠗ࡞
MATLAB਄ߢ‫ޔ‬೙ᓮࠦࡑࡦ࠼ࠍ৻ⴕ৻ⴕ౉ജߔࠆߩߪ‫ࠅߥ߆ޔ‬㕙ୟߥ૞ᬺߢߔ‫ࠢࠬ࡞ࠚࠪޔߢߎߘޕ‬࡝ࡊ࠻߿ࡃ࠶࠴ࡈࠔࠗ࡞ߩࠃ߁ߦ‫߼੍ޔ‬ታⴕߒߚ޿ࠦࡑࡦ࠼⟲ࠍ߹ߣ߼ߡࡈࠔࠗ࡞ߦᦠ޿ߡ߅߈‫ߣ߹ޔ‬߼ߡታⴕߐߖࠆߎߣ߇น⢻ߢߔ‫ޕ‬ⅣႺᄌᢙMATLABPATHߢᜰቯߐࠇߚ࠺ࠖ࡟ࠢ࠻࡝ߦ‫ ޔ‬.m ߣ޿߁᜛ᒛሶࠍᜬߟࡈࠔࠗ࡞ࠍ૞ᚑߔࠆߣ‫ߪ࡞ࠗࠔࡈߩߘޔ‬MATLABߩࠬࠢ࡝ࡊ࠻ࡈࠔࠗ࡞ߣߺߥߐࠇ߹ߔ‫ޕ‬
sample.m ߣ޿߁ࡈࠔࠗ࡞ߩౝኈ߇એਅߩࠃ߁ߢ޽ࠆߣߒ߹ߔ‫ޕ‬load sam1.dat
sam1load sam2.datsam2
load sam3.dat
sam3
MATLAB਄ߢߪ̌㧪㧪sample 㧨R㧪̍ߣ౉ജߔࠆߣ‫ޔ‬೨▵ߦ␜ߒߚ߽ߩߣหߓ⚿ᨐߦߥࠅ߹ߔ‫ޕ‬ 

!"#$%&'()*+,-./0㧢 ࠣ࡜ࡈࠖ࠶ࠢࠬ⴫␜ᯏ⢻6.1 ◲නߥࠣ࡜ࡈࠖ࠶ࠢࠬߩ⴫␜
 MATLAB ߪ‫ޔ‬ᢙ୯⸘▚ߩઁߦ߽‫ߩ࠲࡯࠺ޔ‬นⷞൻߦ㑐ߒߡఝࠇߚᯏ⢻ࠍᜬߞߡ޿߹ߔ‫ޕ‬ᐳᮡ♽ߥߤࠍᜰቯߒߥ޿႐วߪ‫⥄ޔ‬േ⊛ߦ⷗ᤃ޿▸࿐ߢ⴫␜ߒߡߊࠇ߹ߔ‫␜⴫ޔࠎࠈߜ߽ޕ‬ᣇᴺࠍ୘ੱߩᅢߺߦࠃ
ࠅ⚦߆ߊᜰቯߔࠆߎߣ߽น⢻ߢߔ‫ޕ‬ એਅߢߪ‫ޔ‬Უ㖸 /a/ ߩ࠺࡯࠲㧔ࠨࡦࡊ࡝ࡦࠣ๟ᵄᢙ 16kHz㧘60ms㧕ࠍ speech.dat ߣ޿߁࠺࡯࠲ࡈࠔ
ࠗ࡞ࠍ૶ߞߡ‫ᤨޔ‬㑆ᵄᒻߣߘߩ๟ᵄᢙ․ᕈ㧔ࠬࡍࠢ࠻࡞㧕ࠍឬߊ଀ࠍ␜ߒ߹ߔ‫ޕ‬>> load speech.dat>> plot(speech)>> close>> freq = 20*log10(abs(fft(speech)))>> plot( freq(1:length(speech)/2))
 plot㧘close㧘log10㧘abs㧘fft㧘length ߥߤࠦࡑࡦ࠼ߩᯏ⢻ߦߟ޿ߡߪ‫ޔ‬ෳ⠨ᦠ޽ࠆ޿ߪࠝࡦ࡜ࠗࡦࡑ
࠾ࡘࠕ࡞ࠍෳᾖߒߡߊߛߐ޿‫ޕ‬࿑㧝㧦Უ㖸/a/ߩ㖸ჿ࠺࡯࠲ߩᤨ㑆ᵄᒻ     ࿑㧞㧦Უ㖸/a/ߩ㖸ჿ࠺࡯࠲ߩ๟ᵄᢙ․ᕈ
 ᰴߩ଀ߪ‫ޔ‬࿑㧞ߦ␜ߒߚࠃ߁ߥ๟ᵄᢙ․ᕈࠍ‫ޔ‬࿑㧟ߦ␜ߒߚࠃ߁ߦ AR ࡕ࠺࡞ߦࠃࠅ‫ߩߘޔ‬๟ᵄᢙ․ᕈߩ൮⛊✢ࠍ⸘▚ߒߡ⴫␜ߐߖߚ߽ߩߢߔ‫ޕ‬㧔ߥ߅‫ ࠼ࡦࡑࠦޔ‬lpc ߣ freqz ߪ System Identification
Toolbox ߩᯏ⢻ߢߔ㧕‫઀ߥ߁ࠃߩߎޕ‬੐߽ᄢᄌ◲නߦߢ߈ߡߒ߹߁ߎߣ߇߅ಽ߆ࠅ޿ߚߛߌࠆߢߒࠂ߁‫ޕ‬                                                                                                             load speech.dat                           a = lpc( speech, 12 );                           freqz( 1, a );  ࿑㧟㧦࿑㧞ߦ␜ߒߚ๟ᵄᢙ․ᕈߩ൮⛊✢6.2 ࠞ࡜࡯ࠣ࡜ࡈࠖ࠶ࠢࠬ
 MATLAB ߢߪ‫߽␜⴫ߩࠬࠢ࠶ࠖࡈ࡜ࠣ࡯࡜ࠞޔ‬ኈᤃߦⴕ߃߹ߔ‫ޕ‬plot(x,y,’linetype’)ߪ‫ ࡞࠻ࠢࡌޔ‬x
ࠍ x ゲ‫ ࡞࠻ࠢࡌޔ‬y ࠍ y ゲߣߒߚᦛ✢ࠍ’linetype’ߢᜰቯߐࠇߚ࠲ࠗࡊߩ✢⒳ߢࡊࡠ࠶࠻ߒ߹ߔ‫ޕ‬X ࠍ⋭ 

 
⇛႐วߦߪ‫ޔ‬y ߩࠗࡦ࠺࠶ࠢࠬ߇ x ゲߦኻᔕߔࠆߎߣߦߥࠅ߹ߔ‫’ޕ‬linetype’ߪ‫⦡ߣࡊࠗ࠲ߩ✢ޔ‬㧔⴫㧝㧕ࠍᜰቯߒ߹ߔ‫’ޕ‬linetype’ࠍ⋭⇛ߒߚ႐ว‫⥄ޔ‬േ⊛ߦ㕍⦡ߩታ✢ࠍ૶↪ߒ߹ߔ‫ޕ‬หߓ࿑㕙਄ߢ⇣ߥࠆ࡜ࠗࡦ࠲ࠗࡊߣหߓ⦡ࠍᜰቯߔࠆߎߣ߽ߢ߈߹ߔ‫ޕ‬࿑㧠ߦߘߩ଀ࠍ␜ߒ߹ߔ‫ޕ‬⴫㧝㧦࡜ࠗࡦߩ࠲ࠗࡊߣ⦡

6.3

ࠪࡦࡏ࡞

࡜ࠗࡦ࠲ࠗࡊ

ࠪࡦࡏ࡞࡜ࠗࡦ࠲ࠗࡊ

ࠪࡦࡏ࡞

⦡

-

ታ✢

.

ὐ

b

㕍

:

ὐ✢

o

౞

g

✛

-.

㎮✢

x

xශ

r

⿒

--

⎕✢

+

ࡊ࡜ࠬ⸥ภ

c

ࠪࠕࡦ

(none)

✢ߥߒ

*

ᤊශ

m

ࡑ࠯ࡦ࠲

s

ᱜᣇᒻ

y

㤛

d

࠳ࠗࠕࡕࡦ࠼

w⊕v

ਃⷺᒻ㧔਄ะ߈㧕k㤥^ਃⷺᒻ㧔ਅะ߈㧕<ਃⷺᒻ㧔Ꮐะ߈㧕>ਃⷺᒻ㧔ฝะ߈㧕

p

੖ⷺᒻ

h

౐ⷺᒻ

ࠣ࡜ࡈࠖ࠶ࠢࠬߩ಴ജ ૞ᚑߒߚ࿑㕙ࠍ಴ജߔࠆߦߪ‫ޔ‬print ߣ޿߁ࠦࡑࡦ࠼ࠍ૶↪ߒ߹ߔ‫ ޕ‬೑↪⠪߇⥄ಽߩߣߎࠈߦ޽ࠆ
ࡊ࡝ࡦ࠲߆ࠄ಴ജߔࠆ႐วߦߪ‫ޔ‬એਅߦ␜ߔࠝࡊ࡚ࠪࡦࠍ೑↪ߒߡ‫৻ޔ‬ᐲࡐࠬ࠻ࠬࠢ࡝ࡊ࠻ࡈࠔࠗ࡞ߥ
ߤ߳಴ജߒ‫⥄ࠍ࡞ࠗࠔࡈߩߘޔ‬ಽߩߣߎࠈߦ sftp ߢㅍࠆߎߣߦߥࠅ߹ߔ‫ޕ‬
print [ -option ] filename
option:dps:⊕㤥 ps ࡈࠔࠗ࡞    dpsc: ࠞ࡜࡯ ps ࡈࠔࠗ࡞          deps: ⊕㤥 eps ࡈࠔࠗ࡞   depsc: ࠞ࡜࡯ eps ࡈࠔࠗ࡞ߎࠇએᄖߩ࠺ࡃ߽ࠗࠬᜰቯน⢻ߢߔߩߢ‫ࠍ࡞ࠕࡘ࠾ࡑޔ‬ෳᾖߒߡߊߛߐ޿‫ޕ‬
6.4 3 ᰴరࠣ࡜ࡈࠖ࠶ࠢࠬ ߎߩ⺑ߪ‫ޔ‬MATLAB ߦ⚵ߺㄟ߹ࠇߡ޿ࠆ peaks ߣ޿߁․ᱶߥᄙፄဳ㑐ᢙࠍ↪޿ߡ‫ޔ‬3 ᰴరࠣ࡜ࡈࠖ
࠶ࠢࠬߩ૞ᚑࠍ⺑᣿ߒ߹ߔ‫ޕ‬Peaks 㑐ᢙߪ‫ޔ‬x ߣ y ߩ㑐ᢙߢ‫ޔ‬ᰴߩᒻࠍߒߡ޿߹ߔ‫ޕ‬ f ( x, y )

2
2
2
2
2
2
x
1
3(1  x) 2 e  x ( y 1)  10(  x 3  y 5 )e  x  y  e ( x 1)  y    
5
3

(6)

MATLAB ߢ peaks(n)ࠍታⴕߔࠆߣ‫ ޔ‬n u n ߩᱜᣇⴕ೉߇ᓧࠄࠇ߹ߔ‫ޕ‬ᒁᢙߩ n ࠍ⋭ߊߣ‫ޔ‬ᮡḰ୯ 49 ߇ណ↪ߐࠇ߹ߔ‫ޕ‬ 


!"#$%&'()*+,-./01 એਅߪ‫ޔ‬Z=peaks(7)ߩ⚿ᨐߢߔ‫ⴕߩߎޕ‬೉ߩฦⷐ⚛ߪ‫ޔ‬x ߅ࠃ߮ y ࠍ㧙3 ߆ࠄ 3 ߹ߢᄌൻߐߖߚ႐ว
ߩ୯ߦߥࠅ߹ߔ‫ޕ‬೉ᣇะ߇ x‫ⴕޔ‬ᣇะ߇ y ߩᄌൻߦኻᔕߒ߹ߔ‫ޕ‬>> z = peaks(7)z=0.00010.00340.00070.0468-0.0088 -0.1301-0.0365 -1.3327-0.0137 -0.4808
0.00000.07970.00000.0053-0.0299-0.59211.8559-1.65230.22892.09670.1099-0.2450-4.7596-0.72390.98103.68865.85910.2999-0.1100-2.1024-0.27292.93692.43382.20990.1107-0.0043-0.06160.49961.41220.58050.13280.00570.00000.00040.01300.03310.01250.00130.0000 ࿑ 5ޯ࿑ 6 ߦ‫ޔ‬3 ᰴరߩࠞ࡜࡯ࠣ࡜ࡈࠖ࠶ࠢࠬߩ଀ࠍ␜ߒ߹ߔ‫ޕߚ߹ޕ‬࿑ 5 ߦ␜ߔ 3 ᰴరࠣ࡜ࡈࠖ࠶
ࠢࠬߪ‫ޔ‬࿑ 7ޯ࿑ 11 ߦ␜ߔࠃ߁ߥ᭽‫ߥޘ‬ᣇᴺߦࠃߞߡ╬㜞✢⴫␜ࠍߔࠆߎߣ߽น⢻ߢߔ‫ޕ‬

c1=[0.0 1.9 1.2 1.8 3.8 5.0 4.8];
c2=[0.0 2.8 2.5 4.7 5.6 5.5 8.5];
c3=[0.0 4.6 5.5 5.3 7.6 9.5 9.1];
plot(c1)
hold onplot(c2, 'b*')plot(c3, 'r--')plot(c3, 'ro')hold offaxis([1 7 0 10])set(gca,'XTick',[1:2:7])
set(gca,'YTick',[0:2:10])
xlabel('xlabel');ylabel('ylabel');title('Sample ');grid
h=legend('CASE A','CASE B','CASE C');set(h,'Position',[0.2,0.65,0.3,0.22]);axes(h)print -depsc fig4

࿑㧠

surf(peaks(35))
print -depsc fig5

 

 
࿑㧡

 

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

mesh(peaks(35)+15)
holdpcolor(peaks(35))
hold off
print -depsc fig6

 

 
 ࿑㧢

surfc(peaks(30))
colormap(hot)colorbar('vert')
gridprint -depsc fig7

 
࿑㧣pcolor(peaks(30))
colormap(hot)colorbar('vert')
print -depsc fig8

 
࿑㧤


 

!"#$%&'()*+,-./0

 

pcolor(peaks(30))
colormap(hot)shading flat
hold oncontour(peaks(30),15,'g')hold offcolorbar('vert')
print -depsc fig9
 ࿑㧥b=contour(peaks(35),15);clabel(b)gridprint -depsc fig10

࿑ 10

b=contour3(peaks(35),15);clabel(b)gridprint -depsc fig11

 
࿑ 11

 

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

6.5 ⷞὐ 㧟ᰴరࠣ࡜ࡈࠖ࠶ࠢࠬߩ⴫␜ߦ߅        ޿ߡ㊀ⷐߥ‫ⷞޔ‬ὐߩⷺᐲߩ⺞▵ߦߪ
view ߣ޿߁ࠦࡑࡦ࠼ࠍ↪޿߹ߔ‫ޕ‬view(Azimuth,Elevation)ࠦࡑࡦ࠼ߪ‫ޔ‬᳓ᐔᣇะߣု⋥ᣇะߩ࿁ォⷺࠍ࿑㧝㧞ߦ␜ߔࠃ߁ߦᜰቯߔࠆߎߣߦࠃࠅ‫ⷞޔ‬ὐߩⷺᐲࠍ⺞▵ߒ߹ߔ‫ޕ‬ ଀߃߫‫ޔ‬࿑ 13 ߪ speaks ࠦࡑࡦ࠼ߦ
ࠃࠅᓧࠄࠇߚⴕ೉ࠍ⇣ߥࠆ㧠ߟߩⷞὐ࿑㧝㧞㧦3 ᰴరࡊࡠ࠶࠻ߩⷞὐⷺᐲߩ⸳ቯ

߆ࠄ⴫␜ߒߚ߽ߩߢߔ‫ޕ‬view(-37.5,30) view(-7,80)
view(-90,0)view(-7,-10)

Azimuth=-7.5

Azimuth=-90

Elevation=30

Azimuth=-7

Elevation=80

Elevation=0

Azimuth=-7

Elevation=-10࿑㧝㧟㧦peaks 㑐ᢙߦࠃࠆ 3 ᰴరࠣ࡜ࡈࠖ࠶ࠢࠬࠍ⇣ߥࠆ 4 ߟߩⷞὐ߆ࠄ⴫␜ߒߚ଀㧣 ߹ߣ߼
 ᧄⓂߢߪ‫ޔ‬㜞ᕈ⢻ߥᢙ୯⸘▚ᯏ⢻ߣᄙᓀߥนⷞൻᯏ⢻ࠍ஻߃ߚᛛⴚ⸘▚࠰ࡈ࠻ MATLAB ߩ౉㐷ߣߒߡ‫․ߩߘޔ‬ᓽ‫ޔ‬ᢙ୯⸘▚ߩᜰ␜ᣇᴺ‫ߩࠬࠢ࠶ࠖࡈ࡜ࠣޔ‬૞ᚑᣇᴺߥߤࠍ⚫੺ߒ߹ߒߚ‫੹ޕ‬࿁⚫੺ߒߚ߽ߩߪ‫ޔ‬MATLAB ߩ೑↪ᴺߩ߶ࠎߩ৻ㇱಽߦߔ߉߹ߖࠎ‫ޕ‬ᤚ㕖৻ᐲ‫ޔ‬ታ㓙ߦ⥄ಽߢ೑↪ߒߡ‫⼾ߩߘޔ‬ንߥᯏ⢻ߣ㜞޿↢↥ᕈࠍ૕㛎ߒߡ޿ߚߛ߈ߚ޿ߣᕁ޿߹ߔ‫ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨ߇࡞ࠕࡘ࠾ࡑޔ߅ߥޕ‬࠲࡯㧝㓏ߩࡊࡠࠣ࡜ࡓ⋧⺣ቶߦ⸳⟎ߒߡ޽ࠅ߹ߔߩߢ‫޿૶ޔ‬ᣇ߽߽ߞߣ⹦ߒߊ⍮ࠅߚ޿ᣇߪߘߜࠄࠍߏ
ⷩߊߛߐ޿‫ޕ‬ 

!"#$%&'()*+,-./0

 

ෳ⠨ᢥ₂
[1] MATLAB ߦࠃࠆ೙ᓮℂ⺰ߩၮ␆㧦㊁ᵄஜ⬿㧘᧲੩㔚ᯏᄢቇ಴ ዪ[2] MATLAB ߦࠃࠆ೙ᓮߩߚ߼ߩࠪࠬ࠹ࡓหቯ㧦⿷┙ୃ৻㧘᧲੩㔚ᯏᄢቇ಴[3] ߛࠇߢ߽ࠊ߆ࠆ MATLAB㧦ᳰේ㓷┨㧘ၭ㘑㙚[4] ߪ߿ࠊ߆ࠅ MATLAB ╙ 2㧦⧃㊁㓉৻㧘౒┙಴

[5] ᦨᣂ MATLAB ࡂࡦ࠼ࡉ࠶ࠢ╙ 3㧦ዊᨋ৻ⴕ㧘⑲๺ࠪࠬ࠹ࡓ

[6] MATLAB ࠣ࡜ࡈࠖ࠶ࠢࠬ㓸㧦ዊ࿖ ജ㧘ᦺୖᦠᐫ[7] MATLAB ߣ೑↪ߩታ㓙㧦ዊ࿖ ജ㧘ࠨࠗࠛࡦࠬ␠
[8] MATLAB ߩ✚วᔕ↪㧦㜞⼱㇌ᄦ㧘᫪ർ಴[9] ᦨᣂ૶߃ࠆ㧍MATLAB㧦㕍ጊ⾆િ㧘⻠⺣␠[10] ૶߃ࠆ㧍MATLAB/Simulink ࡊࡠࠣ࡜ࡒࡦࠣ㧦㕍ጊ⾆િ㧘⻠⺣␠[11] MATLAB ߦࠃࠆ↹௝㧒ᤋ௝ାภಣℂ㧦᧛᧻ᱜ๋㧘CQ ಴[12] http://www.mathworks.co.jp

ዪ





 
=೑↪⋧⺣ቶଢࠅ?೑↪⋧⺣ߦߟ޿ߡ
੹ᐕᐲ߽  ᦬ࠃࠅࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ᧄ㙚೑↪⋧⺣ቶ‫ޔ‬ᒄ೨ᄢቇ‫↰⑺ޔ‬ᄢቇ‫ޔ‬ጊᒻᄢቇߢ೑↪⋧⺣ࠍⴕߞߡ޿߹ߔ‫ޕ‬ᣣ⒟╬⹦⚦ߪᰴ㗁ࠍߏⷩߊߛߐ޿‫⺣⋧ޕ‬ౝኈߦࠃߞߡߪࡔ࡯ࠞ╬ߦ໧޿วࠊߖࠆ႐ว߿‫ᤨޔ‬㑆ࠍⷐߔࠆ႐ว߽޽ࠅ߹ߔ߇‫ޔ‬೑↪⠪ߩ໧㗴⸃᳿ߦ߻ߌߡദ߼ߡ߅ࠅ
߹ߔ‫⋥ޕ‬ធ㕙⺣ߩ߶߆ߦ‫߿࡞࡯ࡔޔ‬㔚⹤ߢߩ⋧⺣߽ฃߌߡ߅ࠅ߹ߔߩߢ߅᳇シߦߏ⋧⺣ߊߛߐ޿‫ޕ‬࡮ࡊࡠࠣ࡜ࡓࠍ㜞ㅦൻߔࠆߦߪߤ߁ߒߚࠄ޿޿ߩ㧫࡮ࡊࡠࠣ࡜ࡓࠍਗ೉ൻߒߡ߽ߞߣㅦߊ⸘▚ߒߚ޿㧍࡮ࠬࡄࠦࡦߢࡊࡠࠣ࡜ࡓࠍേ߆ߒߡ߽ㅦߐ߇2%ߣᄌࠊࠄߥ޿ࠎߛߌߤ‫ߡߒ߁ߤޔ‬㧫࡮⎇ⓥቶߩࠦࡦࡇࡘ࡯࠲ߢߪࡔࡕ࡝߇⿷ࠅߥ޿㧍࡮⎇ⓥቶߩ㔚᳇ઍ㜞㛛ߢ࿎ߞߡ޿ࠆ‫ޕ‬࡮ࠦࡦࡇࡘ࡯࠲ߩ▤ℂߪ㕙ୟ‫⎇ޕ‬ⓥߦኾᔨߒߚ޿‫ޕ‬࡮ࠨ࡯ࡆࠬߒߡ޿ࠆࠕࡊ࡝ࠤ࡯࡚ࠪࡦࠍ⎇ⓥቶ߆ࠄ೑↪ߔࠆߦߪߤ߁ߔࠇ߫޿޿ߩ㧫ߎߩࠃ߁ߥ‫࠲࡯ࡘࡇࡦࠦ࡯ࡄ࡯ࠬޔ‬೑↪ߦ㑐ߔࠆ⇼໧߿໧㗴ࠍ߅ᜬߜߩᣇ‫ࠄ߆ࠇߎޔ‬೑↪ߒߡߺߚ޿ߣ߅⠨߃ߩᣇ‫৻ޔ‬ᐲ⋧⺣ߒߡߺߡߪ޿߆߇ߢߒࠂ߁߆‫ޕ‬߹ߚ‫ᧄ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬㙚⋧⺣ቶߦߪ‫ޔ‬ฦ⒳ࡑ࠾ࡘࠕ࡞‫߽☋ᦠޔ‬ᄙᢙឥ߃ߡ޿߹
ߔ‫⺣⋧ޕ‬ቶߢߩ㑛ⷩ‫ߒ⾉ޔ‬಴ߒ㧔৻ㇱߩᦠ☋㨮ࡑ࠾ࡘࠕ࡞ࠍ㒰ߊ㧕߽น⢻ߢߔߩߢᤚ㕖ߏᵴ↪ߊߛߐ޿‫ޕ‬‫ᧄ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޝ‬㙚೑↪⋧⺣ቶ‫ޞ‬  6GN   ⋧⺣↪ࡔ࡯࡞ࠕ࠼࡟ࠬ UQFCP"KUEVQJQMWCELR










ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ᧄ㙚










ᧄ㙚೑↪⋧⺣ቶ 


 


ᐔᚑ  ᐕᐲ೑↪⋧⺣ᣣ⒟ߣਥߥᜂᒰಽ㊁㧔ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ᧄ㙚㧕ᦐᣣ࡮ᤨ㑆

㩍㩂㩐㩀㩣㨻㩆㩇㩊㩧㩎ਥߥᜂᒰಽ㊁࡮ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲᦬ 㧞㧙㧠ᤨ ૒‫ᧁޘ‬ᄢテ㧔ᖱႎၮ⋚⺖౒ห⎇ⓥᡰេଥ㧕 ࡮ਗ೉ࠦࡦࡇࡘ࡯࠲
࡮(QTVTCP
࡮ࠕࡊ࡝ࠤ࡯࡚ࠪࡦో⥸Ἣ 㧞㧙㧠ᤨ ጊਅ Პ㧔ᖱႎၮ⋚⺖౒ห೑↪ᡰេଥ㧕࡮㜞ㅦൻ㧔ࡌࠢ࠻࡞ൻ‫ޔ‬ਗ೉ൻ㧕࡮ࠕࡊ࡝ࠤ࡯࡚ࠪࡦ㧔)CWUUKCP㧕᳓ 㧟㧙㧡ᤨ ጊፒ 㚌 㧔ℂቇ⎇ⓥ⑼㧕࡮ਗ೉ࠦࡦࡇࡘ࡯࠲
࡮ࠕࡊ࡝ࠤ࡯࡚ࠪࡦ㧔/#6.#$㧕ᧁ 㧟㧙㧡ᤨ ဈᧄୃ৻㧔㔚᳇ㅢା⎇ⓥᚲ㧕
࡮%% 
࡮ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ዊ᧻ ৻ᒾ㧔ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯㧕㊄ 㧞㧙㧠ᤨ࡮ਗ೉ࠦࡦࡇࡘ࡯࠲
᫪⼱ ෹ᤋ㧔ᖱႎၮ⋚⺖౒ห⎇ⓥᡰេଥ㧕
࡮(QTVTCP ࡮%% ਄⸥એᄖߩᤨ㑆Ꮺߦ㕙⺣࡮㔚⹤ߢߩ⋧⺣ࠍᏗᦸߩᣇߪ‫ ޔ‬㓏⓹ญ㧔౒ห೑↪ᡰេଥ㧕߹ߢ⋧⺣ౝኈࠍ߅↳ߒ಴ߊߛߐ޿‫࡯࠲ࡦ࠮ޕ‬ౝᜂᒰ⠪ߦขࠅᰴ߉߹ߔ‫ޕ‬ᐔᚑ  ᐕᐲ೑↪⋧⺣ᣣ⒟ߣᜂᒰಽ㊁㧔ઁᯏ㑐㧕          



ᄢቇฬ
ᒄ೨ᄢቇ

ᒄ೨ᄢቇ

⑺↰ᄢቇ

ጊᒻᄢቇ

⋧⺣႐ᚲ࡮ᣣᤨ

㩍㩂㩐㩀㩣㨻㩆㩇㩊㩧㩎
ℂᎿቇㇱ  ภ㙚૒⮮ ⵨ਯ ภቶ
࿷ቶਛ㓐ᤨ
ℂᎿቇㇱ  ภ㙚ችᧄ  ㊂ ቶ
᦬ᦐ Ꮏቇ⾗Ḯቇㇱ  ภ㙚↰ਛ రᔒ ቶ
ᧁᦐ 
ቇⴚᖱႎၮ⋚࠮ࡦ࠲࡯ ᧼၂ ᐘ↱㧔ዊ⊕Ꮉࠠࡖࡦࡄࠬ㧕 ㊄ᦐ 
Ꮏቇㇱ  ภ㙚 ภቶἫᦐ 
Ꮏቇㇱቇⴚᖱႎၮ⋚࠮ࡦ࠲࡯࿷ቶਛ㓐ᤨ


㜞㊁ ൎ⟤
㋈ᧁ ൎੱ
⋧⺣ಽ㊁㩇㨺㩔㩩㨺㩄㩧㩕㩩㨷㨺㩊㧘┵ᧃ㩥㩂㩨㨼㩧㩖㨱㨼㩣(QTVTCP㧘㩗㩨㩂㩎㩣ൻ㧘#5.
┵ᧃ㩥㩂㩨㨼㩧㧘㩖㨱㨼㩣㧘(QTVTCP㧘%% 㧘
)CWUUKCP㩇㨺㩔㩩㨺㩄㩧㩕㩩㨷㨺㩊㧘┵ᧃ㨯㩥㩂㩨㨼㩧㧘㩖㨱㨼㩣㧘㩆㩨㨸㩖㩨ᠲ૞㧘(QTVTCP㧘%% 㧘
/#6.#$㧘೑↪↳⺧㧘㩜㨺㩣┵ᧃ㨯㩥㩂㩨㨼㩧㧘㩖㨱㨼㩣㧘㩜㨺㩣㧘㨽㨲㩣㩇ኻ╷㩉㩖㩎㧘㩅㨺㩔㩨⸽᣿ᦠ┵ᧃ㨯㩥㩂㩨㨼㩧㧘㩖㨱㨼㩣㧘(QTVTCP㧘/#6.#$┵ᧃ㨯㩥㩂㩨㨼㩧㧘(QTVTCP㧘612+%㨼㩧㩊㨺㩒㨹㩎 ⚵❱㑆ធ⛯ 㧘㩜㨺㩣㧘㨽㨲㩣㩇ኻ╷㩉㩖㩎                               㧔౒ห೑↪ᡰេଥ㧕 
࠹ࠢ࠾ࠞ࡞ࠕࠪࠬ࠲ࡦ࠻⥄Ꮖ⚫੺‫ᧄ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޝ‬㙚⋧⺣ቶ‫ޞ‬ጊፒ 㚌㧔߿߹ߑ߈ ߆߅ࠆ㧕᧲ർᄢቇ ᄢቇ㒮ℂቇ⎇ⓥ⑼ൻቇኾ᡹ ඳ჻⺖⒟೨ᦼ
ℂቇ⎇ⓥ⑼ൻቇኾ᡹ඳ჻⺖⒟ᓟᦼ 2 ᐕߩጊፒ㚌ߣ↳ߒ߹ߔ‫ޕ‬᳓ᦐᣣߩ 15 ᤨ߆ࠄ 17 ᤨࠍᜂᒰߒ
ߡ޿߹ߔ‫ޕ‬ᤓᐕᐲߦᒁ߈⛯߈‫ޔ‬೑↪⋧⺣ຬߣߒߡ Gaussian ╬ߩ㊂ሶൻቇ⸘▚ࡄ࠶ࠤ࡯ࠫࠍ૶ߞߚ
ℂ⺰⸘▚ࠍਛᔃߦ⊝᭽ߩ⎇ⓥߩ߅ᚻવ޿ࠍߐߖߡ޿ߚߛ߈߹ߔ‫ޕ‬ ‛ℂ⊛࡮ൻቇ⊛ߦᗧ๧ߩ޽ࠆ㊂ሶൻቇ⸘▚ࠍታⴕߒߡ⎇ⓥߦᵴ߆ߔߚ߼ߦߪ‫ޔ‬ᰴߩ 3 ὐߦᵈᗧߔࠆᔅⷐ߇޽ࠅ߹ߔ‫ޕ‬(1) ߤߩ᭽ߥ‛ℂ㊂ࠍ⸘▚ߔࠆߩ߆‫ޕ߆ߗߥߪࠇߘߚ߹ޔ‬⎇ⓥߩ⢛᥊߽฽߼ߡ⇣ಽ㊁ߩ㐷ᄖṽߦኈᤃߦℂ⸃ߢ߈ࠆ⺑᣿߇ⴕ߃ࠆߎߣ‫ޕ‬(2) ㆡᱜߥ⸘▚ᚻᴺࠍㆬᛯߔࠆ‫ߩࠬ࡯࠰࡝▚⸘ࠆ߈ߢ↪૶ޕ‬⢻ജߩ▸࿐ౝߢ‫ޔ‬น⢻ߥ㒢ࠅᱜ⏕߆ߟ⍴ᤨ㑆ߢ⋡⊛ߩ‛ℂ㊂ࠍ⸘▚ߢ߈ࠆᚻᴺࠍㆬ߱‫ޕ‬(3) એ਄ߩ 2 ὐࠍ㆐ᚑߔࠆߚ߼ߦ‫⎇ޔ‬ⓥߩ⢛᥊߽฽߼ߚචಽߥᢥ₂ត⚝ߣ੍஻⸘▚ࠍⴕ߁‫ޕ‬⑳ߪ‫ߩߎޔߡߒߣ࠻ࡦ࠲ࠬࠪࠕ࡞ࠞ࠾ࠢ࠹ޔ‬᭽ߥ⸘▚ߩḰ஻ߣ⸘▚ᚻᴺߩㆬᛯ߆ࠄࠗࡦࡊ࠶࠻
ࡈࠔࠗ࡞ߩ૞ᚑ‫⚿▚⸘ߡߒߘޔ‬ᨐߩ⸃㉼ߩߎߟߦ޿ߚࠆ߹ߢ‫ޔ‬㊂ሶൻቇ⸘▚ߦ߅޿ߡ⓭߈ᒰߚࠆ໧㗴ߩ࠻࡯࠲࡞ࠨࡐ࡯࠻ࠍ one-stop ߢታ⃻ߒߡ޿߈ߚ޿ߣ⠨߃ߡ߅ࠅ߹ߔ‫ޕ‬1 ᐕ㑆ࠃࠈߒߊ߅㗿޿޿ߚߒ߹ߔ‫ޕ‬ဈᧄୃ৻㧔ߐ߆߽ߣߒࠀ߁޿ߜ㧕᧲ർᄢቇ㔚᳇ㅢା⎇ⓥᚲಎᢎ᝼
ᧁᦐᣣࠍᜂᒰߒߡ޿ࠆ㔚᳇ㅢା⎇ⓥᚲಎᢎ᝼ߩဈᧄߢߔ‫ޕ‬㐳޿߽ߩߢࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ
࠲࡯ߩ೑↪⋧⺣ຬߪ੹ᐕᐲߢ12ᐕ⋡ߦߥࠅ߹ߒߚ‫ޕ‬⑳ߪ‫ੱޔ‬㑆ߩ⡬ⷡᖱႎಣℂㆊ⒟ߩ⸃᣿෸߮Ꮏቇᔕ↪ࠍᔨ㗡ߦ‫ޔ‬᭽‫ߥޘ‬ⅣႺߢߩ㖸࡮㖸ჿߩ⡞ߎ߃ࠍ⺞ߴ‫ߩߘޔ‬⍮⷗ߦᩮߑߒߚ㖸㗀ㅢାࠪࠬ࠹ࡓߩ㐿⊒ࠍㅴ߼ߡ޿߹ߔ‫ߪߦ߼ߚߩߘޕ‬ᄙߊߩ⍮
ⷡᔃℂታ㛎ࠍⴕߞߡ⚿ᨐߩ⛔⸘⸃ᨆ߇ᔅⷐߣߥࠆߚ߼‫ߢ࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬ឭଏߒߡ޿ࠆ5#5ࠍೋ߼ߣߔࠆ⛔⸘⸃ᨆࡄ࠶ࠤ࡯ࠫࠍ೑↪ߒߡ޿߹ߔ‫ޔߚ߹ޕ‬ೝỗ૞ᚑߥߤߢMATLAB߽ࠃߊ೑↪ߒߡ޿߹ߔ‫ޕ‬ࡀ࠶࠻ࡢ࡯ࠢ߿ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ߦ㑐ߔࠆ⍮⼂ߪ߶ߣࠎߤ޽ࠅ߹ߖࠎ߇‫ޔ‬Windows┵ᧃߩ૶޿ᣇ߿‫ޔ‬SAS‫ޔ‬MATLABߥߤߩࠕࡊ࡝ࠤ࡯࡚ࠪࡦߩ૶޿ᣇߢ‫߅ߩࠎߐߥߺޔ‬ᓎߦ┙ߡࠆߎߣ߇
޽ࠆ߆ߣᕁߞߡ޿߹ߔ‫߅ޕ‬᳇シߦჿࠍ߆ߌߡ޿ߚߛߌߚࠄᐘ޿ߢߔ‫ޕ‬  ዊ᧻ ৻ᒾ㧔ߎ߹ߟ ߆ߕ߭ߎ㧕᧲ർᄢቇࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲⎇ⓥㇱ ഥᢎᤓᐕᐲߦᒁ߈⛯߈‫࡯࠲ࡦ࠮ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬೑↪⠪⋧⺣ቶߢ೑↪⋧⺣ຬࠍᜂᒰߐߖߡ޿ߚ
ߛߊߎߣߦߥࠅ߹ߒߚ‫ޕ‬㊄ᦐᣣ 㨪 ᤨߩᜂᒰߢ‫ޔ‬ᜂᒰಽ㊁ߪࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ 5: ‫ޔ‬ਗ೉ࠦࡦࡇࡘ࡯࠲ 'ZRTGUU ߩ೑↪ᣇᴺో⥸‫ߩࡦ࡚ࠪ࡯ࠤ࡝ࡊࠕ߮ࠃ߅ޔ‬㜞ㅦൻో⥸ߦߥࠅ߹ߔ‫ޕ‬ ⸘▚ᯏࠕ࡯ࠠ࠹ࠢ࠴ࡖ࡮ᄢⷙᮨਗ೉⸘▚ࠍኾ㐷ߣߒߡ⎇ⓥߦᓥ੐ߒߡ߅ࠅ‫ޔ‬᭽‫ߥޘ‬ᄢⷙᮨ⸘▚ⅣႺߦ߅ߌࠆࠕࡊ࡝ࠤ࡯࡚ࠪࡦߩᦨㆡൻࠍㅢߓߡ‫ޔ‬ᰴ਎ઍᄢⷙᮨ⸘▚ᯏߩⷐ⚛ᛛⴚࠍ⎇ⓥߒߡ߅ࠅ߹ߔ‫ޕ‬೑↪⋧⺣ߢߪ‫ޔߦ․ޔ‬ᄢⷙᮨ⸘▚ᯏߩ⸘▚ᯏࠕ࡯ࠠ࠹ࠢ࠴ࡖ߿ࡀ࠶࠻ࡢ࡯ࠢࠪࠬ࠹ࡓ᭴
ᚑߥߤࠍ⠨ᘦߒߚࠕࡊ࡝ࠤ࡯࡚ࠪࡦߩᦨㆡൻ࡮㜞ㅦൻߦ㑐ߒߡ‫ޔ‬ᓸജߥ߇ࠄߺߥߐ߹ߩ߅ജߦߥ
ࠇࠇ߫ߣᕁ޿߹ߔ‫߅ߊߒࠈࠃߙ߁ߤޕ‬㗿޿޿ߚߒ߹ߔ‫ޕ‬ጊਅ Პ㧔߿߹ߒߚ ߚߌߒ㧕᧲ർᄢቇ ᖱႎㇱᖱႎၮ⋚⺖౒ห೑↪ᡰេଥ ᛛⴚኾ㐷⡯ຬ ᜂᒰᤨ㑆ߪἫᦐᣣ 14㨪16 ᤨߢ‫ޔ‬ᜂᒰಽ㊁ߪ㜞ㅦൻ㧔ࡌࠢ࠻࡞ൻ‫ޔ‬ਗ೉ൻ㧕‫࡯ࠤ࡝ࡊࠕ߮ࠃ߅ޔ‬࡚ࠪࡦߩ೑↪ߦ㑐ߔࠆߎߣߢߔ‫ޕ‬MATLAB‫ޔ‬Marc/Mentat‫ޔ‬Patran ߦߟ޿ߡߪᠲ૞ᣇᴺߩߏ⋧⺣߽߅ฃߌߢ߈߹ߔߩߢ‫߅ޔ‬᳇シߦ೑↪⋧⺣ቶ߹ߢ߅⿧ߒਅߐ޿‫ޕ‬ ᦨㄭߢߪ⎇ⓥቶߩࡢ࡯ࠢࠬ࠹࡯࡚ࠪࡦࠢ࡜ࠬߩࡑࠪࡦߢ߽‫ ࠕࠦ࠴࡞ࡑޔ‬CPU ߣᄢⷙᮨࡔࡕ࡝
ࠍ૶↪ߒߡᢙ୯⸘▚ࠍⴕ߃ࠆࠃ߁ߦߥߞߡ߈߹ߒߚ‫ޕ‬8 ࠦࠕ4CPU‫ᦨޔ‬ᄢࡔࡕ࡝ 512GB ߣ޿߁⵾ຠ߽޽ࠆࠃ߁ߢߔ‫ޕ‬ᒰ࠮ࡦ࠲࡯ߢࠨ࡯ࡆࠬࠍⴕߞߡ޿ࠆ SX-9 ߪ‫ޔ‬MPI ࠍ૶↪ߔࠇ߫ᦨᄢ 64CPU
ߣ 4TB㧔4,096GB㧕ߣ޿߁ᐢᄢߥࡔࡕ࡝ኈ㊂ࠍ૶↪ߔࠆߎߣ߇಴᧪߹ߔ‫࠻ࠢࡌޔࠄ߇ߥߒ߆ߒޕ‬࡞ࡑࠪࡦߢ޽ࠆ SX-9 ߩᕈ⢻ࠍᦨᄢ㒢ߦᒁ߈಴ߔߚ߼ߦߪ‫߇ࠣࡦ࠾࡯ࡘ࠴ߩ࠼࡯ࠦࡓ࡜ࠣࡠࡊޔ‬ᔅ㗇ߣߥࠅ߹ߔ‫⎇ޕ‬ⓥቶߩࡑࠪࡦߢേ߆ߒߡ޿ࠆࡊࡠࠣ࡜ࡓࠦ࡯࠼ࠍߘߩ߹߹ SX-9 ߢࠦࡦࡄࠗ
࡞㧒ታⴕߒߡ߽‫ޔ‬SX-9 ߩᕈ⢻߇⊒ើߐࠇࠆߎߣߪ߹ࠇߢߔ‫⎇ޕ‬ⓥቶߩࡑࠪࡦߢ㐿⊒ߐࠇߚࠦ࡯࠼
ࠍ SX-9 ߢታⴕߒ‫ޔ‬‫ޔ߽ߡߞ⸒ߡߞࡦࠦࡄࠬޟ‬᩺ᄖㆃ޿ߥ޼‫ޕ‬‫⚻߁޿ߣޠ‬㛎߇޽ࠆᣇߪ‫࡯ࠦ߭ߗޔ‬࠼ߩ㜞ㅦൻߦߟ޿ߡߏ⋧⺣ਅߐ޿‫ޕ‬૒‫ᧁޘ‬ᄢテ㧔ߐߐ߈ ߛ޿ߔߌ㧕᧲ർᄢቇ ᖱႎㇱᖱႎၮ⋚⺖౒ห⎇ⓥᡰេଥ ᛛⴚ৻⥸⡯ຬ ᐔᚑ 23 ᐕᐲߦ᧲ർᄢቇߩᛛⴚ⡯ຬߣߒߡណ↪ߐࠇ‫ᧄޔ‬ᐕᐲߢ㧟ᐕ⋡ߣߥࠅ߹ߒߚ૒‫ߒ↳ߣᧁޘ‬߹ߔ‫ޕ‬ᜂᒰߪᲤㅳ᦬ᦐᣣ 14㨪16 ᤨߣߥߞߡ߅ࠅ߹ߔ‫ޕ‬ ࠮ࡦ࠲࡯ߢߪਥߦࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ߩㆇ↪ߣ㑐ㅪߔࠆࠨ࡯ࡆࠬߦ㑐ߔࠆ઀੐ߦᓥ੐ߒߡ߅
ࠅ߹ߔ‫ᦨޔߚ߹ޕ‬ㄭߢߪ㜞ㅦൻᡰេᵴേࠍㅢߒߡ೑↪⠪ߩᣇߩࡊࡠࠣ࡜ࡓߩ࠴ࡘ࡯࠾ࡦ߽ࠣⴕߞ
ߡ߅ࠅ߹ߔ‫࡞࠻ࠢࡌࠍࡓ࡜ࠣࡠࡊޔࠅ޽߇࠲࡯ࡘࡇࡦࠦ࡯ࡄ࡯ࠬߩဳ࡞࠻ࠢࡌߪߦ࡯࠲ࡦ࠮ޕ‬ะߌߦ࠴ࡘ࡯࠾ࡦࠣߔࠆߎߣߢ㜞޿ࡄࡈࠜ࡯ࡑࡦࠬࠍᓧࠆߎߣ߇ߢ߈߹ߔ‫߽ߢ࡯࠲ࡦ࠮ޕ‬೑↪ᴺ‫ޔ‬࠴ࡘ࡯࠾ࡦࠣᛛᴺ╬⻠⠌ળࠍⴕߞߡ߅ࠅ߹ߔߩߢ‫ߏ߽ࠄߜߘޔ‬ᵴ↪ߒߡ޿ߚߛߌࠇ߫ߣᕁ޿߹ߔ‫ޕ‬ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ߦ⸅ࠇࠆࠃ߁ߦߥߞߡ㧞ᐕ߶ߤߚߜ߹ߒߚ߇‫ޔ‬⍮⼂ਇ⿷ߥߣߎࠈ߽ᄙ‫޽ޘ‬ࠆ߆ߣᕁ޿߹ߔ‫⾰ޔ߼ߚߩߘޕ‬໧ߦኻߒߡචಽߦ߅╵߃ߔࠆߎߣ߇ߢ߈ߥ޿႐ว߽޽ࠆߣᕁ޿߹  
ߔ߇‫⊝ޔ‬᭽ߩ⾰໧‫⺣⋧ޔ‬ౝኈߦ߅╵߃ߢ߈ࠆࠃ߁ദ߼ߡ޿߈߹ߔ‫੹ޕ‬ᓟߣ߽‫߅ߊߒࠈࠃޔ‬㗿޿޿ߚߒ߹ߔ‫ޕ‬᫪⼱ ෹ᤋ㧔߽ࠅ߿ ߣ߽޽߈㧕᧲ർᄢቇᖱႎㇱᖱႎၮ⋚⺖౒ห⎇ⓥᡰេଥᛛⴚ৻⥸⡯ຬ ᐔᚑᐕᐲ߆ࠄ᧲ർᄢቇߩᛛⴚ⡯ຬߣߒߡណ↪ߐࠇ‫ޔ‬ᤓᐕᐲߦᒁ߈⛯߈‫ࠬࡦࠛࠗࠨ࡯ࡃࠗࠨޔ‬࠮ࡦ࠲࡯೑↪⠪⋧⺣ቶߢ㊄ᦐᣣ 㨪ᤨ ߩ೑↪⋧⺣ຬࠍᜂᒰߐߖߡ㗂ߊߎߣߦߥࠅ߹ߒߚ‫ޔ‬᫪⼱ߣ↳ߒ߹ߔ‫⃻ޕ‬࿷ߩਥߥᬺോߣߒߡ‫ ࠲࡯ࡘࡇࡦࠦࡄ࡯ࠬޔ‬5: ‫ޔ‬ਗ೉ࠦࡦࡇࡘ࡯࠲ 'ZRTGUU ߩⅣႺᢛ஻߿ࡊࡠࠣ࡜ࡓߩ࠴ࡘ࡯࠾ࡦࠣ૞ᬺߦᓥ੐ߒߡ޿߹ߔ‫࡯ࡘࡇࡦࠦ࡯ࡄ࡯ࠬޔߦ․ޕ‬࠲ߦ㑐ߔࠆಽ㊁ߪᛛⴚߩㅴᱠ߇ᣧ޿ߩߢ‫ߩߘޔ‬ᄌൻߦኻᔕߢ߈ࠆၮ␆⍮⼂࡮⢻ജߩะ਄ߦขࠅ⚵ߺ‫ߩ⾰ޔ‬㜞޿ࠨ࡯ࡆࠬࠍឭଏߢ߈ࠆࠃ߁ᔃ߇ߌߡ޿߹ߔ‫ޕ‬ ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߢߪ‫ޔ‬#ࠨࠗ࠭ኻᔕߩᄢ್ࠞ࡜࡯ࡊ࡝ࡦ࠲ߩ೑↪‫ޔ‬ฦ⸒⺆ߩࡊࡠࠣ࡜ࡒࡦࠣᧄ‫ޔ‬ฦ⒳ࡑ࠾ࡘࠕ࡞‫⾗ޔ‬ᢱߩ㑛߽ⷩน⢻ߢߔ‫⑼ޔߚ߹ޕ‬ቇ⊛‫ޔ‬Ꮏቇ⊛ಽ㊁ߦ․ൻߒߚ
᭽‫ߩ࠻ࡈ࠰ࡦ࡚ࠪ࡯ࠤ࡝ࡊࠕߥޘ‬ឭଏ߽ߒߡ߅ࠅ‫ޔ‬೑↪⋧⺣ߥߤࠍㅢߓߡ‫ޔ‬ᤚ㕖᦭ലᵴ↪ߒߡ‫ޔ‬⎇ⓥߦᓎ┙ߡߡ᰼ߒ޿ߣᕁߞߡ߅ࠅ߹ߔ‫ޕ‬ ೑↪⋧⺣ຬߣߒߡ‫ᧂߛ߹ߛ߹ޔ‬ᾫߥㇱಽ߽޽ࠅ‫ߏޔ‬ㅅᖺ߽߅ដߌߔࠆ߆ߣᕁ޿߹ߔ߇‫ޔ‬ዋߒߢ߽ߺߥߐ߹ߩ߅ജߦߥࠇࠇ߫ߣᕁߞߡ޿߹ߔ‫߅ߊߒࠈࠃޕ‬㗿޿޿ߚߒ߹ߔ‫ޕ‬‫ޝ‬ᒄ೨ᄢቇ࡮⑺↰ᄢቇ࡮ጊᒻᄢቇ‫ޞ‬૒⮮⵨ਯ㧔ߐߣ߁ ߭ࠈࠁ߈㧕ᒄ೨ᄢቇᄢቇ㒮ℂᎿቇ⎇ⓥ⑼ಎᢎ᝼ ࠮ࡦ࠲࡯ߦߪᄢᄌ㐳ߊ߅਎⹤ߦߥߞߡ޿߹ߔ‫ࠍࠕࠚ࠙࠻ࡈ࠰ޕ‬฽߼ߚ⸘▚⾗Ḯߪ‫ࠅࠃޔ‬㜞ᕈ⢻ߦߥࠆߣߣ߽ߦ᧍਄ߦߔߴߡࠍឥ߃ࠆߦߪ㜞ଔߦߥࠅߔ߉ߡ߈ߡ߽߅ࠅ‫౒ޔ‬ห೑↪ᣉ⸳ߩሽ࿷ࠍ
޽ࠅ߇ߚߊᗵߓߡ޿߹ߔ‫ߩ⺣⋧ޕ‬ౝኈ߿ઙᢙߪ‫▚⸘ޔ‬ᯏߩജߩᄌൻߣߣ߽ߦᄌࠊߞߡ߈ߡ޿ࠆߣ
ᗵߓߡ޿߹ߔ߇‫ޔ‬ᐢ޿ᗧ๧ߢߩ⸘▚ᯏ߳ߩធ⛯ߣ࠺࡯࠲ߩ߿ࠅߣࠅߦ㑐ߔࠆౝኈߪ‫ߥ߹ߑ߹ߐޔ‬ಽ㊁߿┙႐ߩᣇ‫ޔࠄ߆ޘ‬Ᏹߦ⾰໧ߐࠇࠆ੐ᨩߩ৻ߟߢ޽ࠆࠃ߁ߢߔ‫⾗ߩࠢ࡯ࡢ࠻࠶ࡀޕ‬Ḯ߇᥉෸ߔࠆߦߟࠇߡ‫ޔ‬ធ⛯ߩᣇᴺ߇ᄙ᭽ߦ߽ߥࠅ‫ߩߣࠖ࠹࡝ࡘࠠ࠮ߚ߹ޔ‬౗ߨว޿ߢⶄ㔀ߦ߽ߥߞߡࠁߊߩࠍりㄭߦᗵߓࠆߩߪ‫ޔ‬㕙⊕ߊ߽޽ࠅ߹ߚ㕙ୟߥ߽ߩߢ߽޽ࠅ߹ߔ‫ޕ‬㆙㓒࿾߆ࠄߩ೑↪ߦ‫‛ޔ‬ℂ⊛ߥ〒㔌ߪᗵߓߥߊߥߞߡ߈ߚ߽ߩߩ‫ߩࠢ࡯ࡢ࠻࠶ࡀޔ‬቟ోߣ޿߁⾰ߩ⇣ߥࠆოࠍ⿧߃ࠆߩߦ
ߪ‫〒ߛ߹ߛ߹ޔ‬㔌ࠍᗵߓࠆߎߣ߇޽ࠅ߹ߔ‫ޕ‬ᱜߒ޿ᖱႎࠍᚻߦ౉ࠇࠆߎߣ‫⋧⺣⋧ޔ‬ᚻࠍ⷗ߟߌࠆ
ߎߣ߇‫ޔ‬ᭉࠍߔࠆߚ߼ߩ⒁⸬ߢߔ‫ޕ‬ᓸജߢߔ߇߅ᓎߦߚߜߚ޿ߣᕁߞߡ޿߹ߔ‫ߏߙ߁ߤޕ‬೑↪ਅߐ޿‫ޕ‬  

ችᧄ ㊂(ߺ߿߽ߣ ࠅࠂ߁)ᒄ೨ᄢቇᄢቇ㒮ℂᎿቇ⎇ⓥ⑼ಎᢎ᝼
ኾ㐷ߪ㊂ሶൻቇߢ޽ߞߡ‫ߩߡߒߣ࡯ࠩ࡯࡙ࠄ߬ߞ߽ߪߣ࠲࡯ࡘࡇࡦࠦޔ‬ઃ߈ว޿ߢߔ‫ޕ‬ᄢቇ㒮↢ߩᤨߦࠬࡍࠢ࠻࡞ߩࠪࡒࡘ࡟࡯࡚ࠪࡦࠍߔࠆߩߦ⥄૞ߩࡊࡠࠣ࡜ࡓࠍ૞⵾ߒߚߩ߇‫ޔ‬ᄢဳ⸘▚ᯏߣߩઃ߈ว޿ߪߓ߼ߢߒߚ‫⃻ޕ‬࿷ߢߪ࠮ࡦ࠲࡯ߩ⸘▚ᯏߪ Unix ⅣႺߦߥߞߡ߅ࠅ‫ޔ‬ᠲ૞ᕈ߿ࡊࡠࠣ࡜ࡓ૞ᚑⅣႺߪ᳢↪ൻߐࠇߡలታߒߡ޿ࠆߣᗵߓ߹ߔ‫ᦨߦࠄߐޕ‬ㄭߩ⸘▚ᯏߪਗ೉ൻ߽⪺ߒ޿ߩߢߔ߇‫ߩߘ߽ߡߣޔ‬⢻ജࠍ↢߆ߔߦ⥋ߞߡ޿߹ߖࠎ‫ޔߚ߹ޕ‬ಽሶ⑼ቇߩಽ㊁ߢߪ⿥᦭ฬߥ
Gaussian ߣ޿߁ࡊࡠࠣ࡜ࡓࡄ࠶ࠤ࡯ࠫߢ‫ޔ‬ಽሶߩ㔚ሶ⁁ᘒߩ⸘▚ࠍ߽ⴕߞߡ޿߹ߔ‫᧲ޕ‬ർᄢߦߪᦨᣂߩࡃ࡯࡚ࠫࡦ߇ዉ౉ߐࠇߡ߅ࠅ‫ޔ‬ᄢⷙᮨߥ⸘▚߽น⢻ߢߔ‫ޕ‬ᚲዻߩ㑐ଥߢ೑↪⋧⺣ࠍฃߌࠆߎߣߪ߶ߣࠎߤή޿ߩߢߔ߇‫ޔ‬ዋߒߢ߽೑↪⠪ߩ߅ᓎߦ┙ߡࠇ߫ߣᕁ޿߹ߔ‫ޕ‬↰ਛరᔒ(ߚߥ߆ ߽ߣߒ)⑺↰ᄢቇ ᄢቇ㒮Ꮏቇ⾗Ḯቇ⎇ⓥ⑼ ಎᢎ᝼
ᐔᚑ 14 ᐕᐲ߆ࠄ⋧⺣ຬࠍߐߖߡ㗂޿ߡ߅ࠅ߹ߔ‫ޕ‬ቇ↢ᤨઍ߆ࠄ UNIX ⅣႺߦߪ⸅ࠇߡ߅ࠅ‫ޔ‬C⸒⺆‫ޔ‬TeX ߪ૶↪ߒߡ߅ࠅ߹ߒߚ‫⃻ޕ‬࿷ߪ㧘ߎߩઁߦ MATLAB ࠍ૶↪ߒߡ߅ࠅ߹ߔ‫ ޕ‬FDTD
㧔Finite Difference Time Domain㧦᦭㒢Ꮕಽᤨ㑆㗔ၞ㧕ᴺߦࠃࠆ⸘▚ᯏࠪࡒࡘ࡟࡯࡚ࠪࡦࠍⴕߞ
ߡ߅ࠅ߹ߒߚ㗃ߪ‫ޔ‬Fortan90 ߽૶↪ߒ߹ߒߚ‫⸃ޕ‬ᨆࡕ࠺࡞ߦ߽ࠃࠅ߹ߔ߇‫ߢࡦࠦ࠰ࡄޔ‬ታⴕߔࠆߣਣ 1 ᣣ߆߆ࠆࠃ߁ߥ⸘▚߇ 1 ᤨ㑆⒟ᐲߢᷣࠎߢߒ߹޿߹ߒߚ‫▚⸘ߥ߁ࠃߩߎޕߨߔߢ޿ߏߔޕ‬ߦߪ‫ߩ࠲࡯ࡘࡇࡦࠦ࡯ࡄ࡯ࠬߩ࡯࠲ࡦ࠮ᧄޔ‬೑↪ߪᰳ߆ߖ߹ߖࠎ‫ࠍ࡯࠲ࡦ࠮ᧄ߽ࠎߐ⊝ޕ‬ᄢ޿ߦ೑↪ߒߡਅߐ޿‫⾰ޕ‬໧ߦኻߒߡචಽߦ߅╵߃ߔࠆߎߣ߇ߢ߈ߥ޿႐ว߇޽ࠆߣᕁ޿߹ߔ߇ࠃࠈߒ
ߊ߅㗿޿⥌ߒ߹ߔ‫ޕ‬᧼၂ᐘ↱㧔޿ߚ߇߈ࠁ߈ࠃߒ㧕ጊᒻᄢቇℂቇㇱᛛⴚኾ㐷⡯ຬ       ⑳ߪ‫ޔ‬ℂቇㇱߩᚲዻߢߔ߇‫ޔ‬ㅢᏱߪቇⴚၮ⋚࠮ࡦ࠲࡯ߢቇౝ.#0ߣฦ⒳ࠨ࡯ࡃ⟲ߩ▤ℂࠍⴕߞߡ޿߹ߔ‫ޕ‬એ೨ߪࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩ೨りߢ޽ࠆᄢဳ⸘▚ᯏ࠮ࡦ࠲࡯࡮ࠪࠬ࠹ࡓ▤ℂଥ
ߦᚲዻߒࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲╬ᄢⷙᮨ⸘▚ᯏࠪࠬ࠹ࡓߩ▤ℂࠍⴕߞߡ޿ߚᤨᦼ߽޽ࠅ߹ߒߚ߇‫ޔ‬ጊᒻᄢቇߦ⿞છߒߡ߈ߚᐔᚑᐕᐲએ㒠ߪࡀ࠶࠻ࡢ࡯ࠢߩ▤ℂ࡮ㆇ↪ᬺോ߇ᄙߊߥࠅ߹ߒߚ‫ޕ‬ᤄߪ࠮ࠠࡘ࡝࠹ࠖߣ޿ߞߚ⸒⪲߽޽ࠆߦߪ޽ࠅ߹ߒߚ߇‫ߤ߶੹ޔ‬ᗧ⼂ߔࠆᔅⷐߪ޽ࠅ߹ߖࠎߢߒߚ‫ޕ‬ߒ߆ߒㄭᐕࠦࡦࡇࡘ࡯࠲࡮ࡀ࠶࠻ࡢ࡯ࠢ߇৻⥸ኅᐸߦ᥉෸ߔࠆߦߟࠇ‫ࠍࠄࠇߎޔ‬ขࠅᏎߊⅣႺߪ഍⊛ߦᄌൻߒߡ߈߹ߒߚ‫ޕ‬52#/ࡔ࡯࡞ߩ፲‫ⵍࠆࠃߦ࡞࡯ࡔࠬ࡞ࠖ࠙ޔ‬ኂ‫࡞ࠗࠔࡈޔ‬੤឵࠰ࡈ࠻ࠍ
૶ߞߚ⪺૞ᮭଚኂ╬‫ޔ‬໧㗴߇ጊⓍߐࠇߚ਎ߩਛߣߥࠅ‫⑳ࠆ޿ߡߒⷞ⋙ࠍࠄࠇߘޔ‬㆐ߩ઀੐߽Ⴧ߃‫ޔ‬ᣣ‫ޘ‬㗡ࠍᖠ߹ߖߡ޿ࠆߣ޿߁ߩ߇⃻⁁ߢߔ‫ޕ‬ ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ࠍ೑↪ߐࠇߡ޿ࠆߺߥߐࠎ߽‫▚⸘ޔ‬ᯏߩ೑↪߿‫ߦࠢ࡯ࡢ࠻࠶ࡀޔ‬㑐ߔࠆᖠߺࠍᛴ߃ߡ޿ࠆᣇߪዋߥߊߥ޿ߣᕁ޿߹ߔ‫ߥ߁ࠃߩߘޔ‬႐วߪ‫ޔ‬ㅅࠊߕ࠹ࠢ࠾ࠞ࡞ࠕࠪ
ࠬ࠲ࡦ࠻ߦߏ⋧⺣ߊߛߐ޿‫⸃޿⦟ޔߣߞ߈ޕ‬᳿ᴺ߿ࡅࡦ࠻߇ߺߟ߆ࠆߪߕߢߔ‫ޕ‬ 

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శࡈࠔࠗࡃㅢାߩ⎇ⓥࠍⴕߞߡ߅ࠅ߹ߔ‫ޕ‬ㅢାࠪࠬ࠹ࡓߣ޿߁ᄙᢙߩࡄ࡜ࡔ࡯࠲߆ࠄߥࠆ㕖✢ᒻࠪࠬ࠹ࡓߩ⸳⸘ߦᢙ୯⸘▚ࠍ૶ߞߡ޿߹ߔ‫ޔߚ߹ޕ‬ᄢቇ㒮↢ߩ㗃߆ࠄ⃻࿷߽㔚⏛ᵄ࡮శᵄߩ㔚⏛⇇⸃ᨆ߽ⴕߞߡ߅ࠅ‫ޔ‬Ⴚ⇇ⷐ⚛ᴺ‫ࡓ࡯ࡆޔ‬વ៝ᴺ‫&(ޔ‬6&ᴺߥߤࠍ૶ߞߚᢙ୯⸘▚ߦ߽៤ࠊߞߡ
߈߹ߒߚ‫(ޕ‬QTVTCPࠍ૶ߞߚ⸘▚߇ਥߢߔ߇‫ޔ‬/#6.#$ߥߤ߽૶޿߹ߔ‫᧲ޕ‬ർᄢቇߩ⸘▚ᯏ߿ጊᒻᄢ
ቇߩࡌࠢ࠻࡞⸘▚ᯏࠍ૶ߞߚ⚻㛎߇޽ࠅ߹ߔ‫ޕ‬ᢙ୯⸘▚ߪ‫੍ޔ‬᷹ߒߦߊ޿߽ߩ߿⋡ߦ⷗߃ߥ޿߽ߩࠍนⷞൻߔࠆߎߣ߇ߢ߈߹ߔ‫⸃ޕ‬ᨆ⊛ߦ⸃ߊߎߣ߇㔍ߒ޿໧㗴߿ታ㛎ࠍߔࠆߎߣ߇࿎㔍ߥ⺖㗴ߩో૕௝ࠍࠗࡔ࡯ࠫߔࠆߎߣ߇ߢ߈߹ߔ‫ޕ‬2%࠰ࡈ࠻࠙ࠚࠕ㐿⊒ߩࡊࡠࠣ࡜ࡓ૞ࠅߣߪ߹ߚ㆑ߞߚ‫ޔ‬ᢙ୯⸘▚ߩᭉߒߐࠍ⋧⺣⠪ߣಽ߆ߜว߃ߚ
ࠄߣᕁߞߡ޿߹ߔ‫ޕ‬
㋈ᧁൎੱ㧔ߔߕ߈ ߆ߟ߭ߣ㧕ጊᒻᄢቇ Ꮏቇㇱቇⴚᖱႎၮ⋚࠮ࡦ࠲࡯ ᛛⴚኾ㐷⡯ຬ ⑳ߪ☨ᴛᏒߦ޽ࠆᎿቇㇱߢࡀ࠶࠻ࡢ࡯ࠢ߿ฦ⒳ࠨ࡯ࡃ㘃ߩ㕙ୟࠍߺߡ޿߹ߔ‫▚⸘ޕ‬ᯏߣଥࠊߞ
ߡ 40 ᐕ߶ߤ‫ᦨޕ‬ㄭߪቇ↢ߐࠎߥߤߩ⾰໧ߢ‫ޔ‬ᗧ๧ਇ᣿ߣ޿߁߆ᧄ᧪ߩᗧ๧ߣ㆑߁⴫⃻ߦᕁࠊߕ╉޿ߥ߇ࠄ╵߃ࠆߎߣ߽ߒ߫ߒ߫ߢߔ‫ޕ‬ ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯ߩ⚛᥍ࠄߒ޿⸘▚⾗Ḯࠍᵴ↪ߒߡ޿ߚߛ߈‫ᤨޔ‬㑆⊛૛⵨ࠍᭉߒࠎ
ߢߺߡߪ޿߆߇ߢߒࠂ߁߆‫ᤨޕ‬㑆〒㔌ࠍ⠨߃ࠆ੐ߥߊ‫ᧄޔ‬ᒰߦㅦ޿⸘▚ᯏࠍ⥄ಽߩ PC ࠍ૶߁ᗵⷡߢ೑↪ߢ߈ࠆ⃻࿷ߪ‫ޔ‬㕖Ᏹߦᕺ߹ࠇߚⅣႺߦ޽ࠆߣ޿߃߹ߔ‫ޔ߇ߔ߹ߒ↢⊒߽↪⾌ޕ‬㕍⪲ጊߩㅦ޿⸘▚ᯏࠍ⊝ߐࠎߢࡈ࡞ߦ૶ߞߡߺ߹ߒࠂ߁‫ߙ߁ߤޕ‬ቱߒߊ߅㗿޿ߒ߹ߔ‫ޕ‬ 
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=ዷ␜ቶଢࠅԠ? ⏛᳇࠺ࠖࠬࠢⵝ⟎ߣ⏛᳇⸥㍳ᇦ૕ ߎࠇ߹ߢߩዷ␜ቶଢࠅߢߪ‫ోޔ‬࿖౒ห೑↪ᣉ⸳ߣߒߡឭଏߒߡ߈ߚ᳢↪
ࠦࡦࡇࡘ࡯࠲㧔N2200 ࠪ࡝࡯࠭‫ޔ‬ACOS ࠪ࡝࡯࠭㧕‫࡯ࡘࡇࡦࠦ࡯ࡄ࡯ࠬޔ‬⴫ 1 ࠺ࠖࠬࠢኈ㊂ᐕ ࠺ࠖࠬࠢኈ㊂ )$
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ߦߥࠅ‫ᦝߩ࠲࡯ࡘࡇࡦࠦޔ‬ᣂߏߣߦ⏛᳇࠺ࠖࠬࠢⵝ⟎߽Ⴧᒝߐࠇ߹ߒߚ‫ ޕ‬⴫ 1 ߪ 1971 ᐕ߆ࠄ 2008 ᐕ߹ߢ‫ ࠖ࠺ߚ޿ߡߒ᦭଻ߢ࡯࠲ࡦ࠮ߦᤨߩߘޔ‬

࠲㧔SX ࠪ࡝࡯࠭㧕‫ޔ‬ਗ೉ࠦࡦࡇࡘ࡯࠲㧔Exemplar‫ޔ‬TX7㧕ߦߟ޿ߡṶ▚ⵝ⟎ߣࡔࡕ࡝ࠍਛᔃߦ⚫੺ߒߡ߈߹ߒߚ‫੹ޕ‬࿁ߪ‫࠲࡯ࡘࡇࡦࠦߩࠄࠇߎޔ‬ߢࠝࡍ࡟࡯࠹ࠖࡦࠣ࡮ࠪࠬ࠹ࡓ߿೑↪⠪ࡈࠔࠗ࡞ࠍ଻ሽߔࠆߚ߼ߦ૶↪ߐࠇ⏛᳇࠺ࠖࠬࠢⵝ⟎ߣ⏛᳇⸥㍳ᇦ૕ߦߟ޿ߡ⚫੺ߒ߹ߔ‫ޕ‬ ࠦࡦࡇࡘ࡯࠲ߩṶ▚ᕈ⢻ะ਄ߦ઻޿Ṷ▚⚿ᨐ߇ᄢ㊂ߦ಴ജߐࠇࠆࠃ߁

ࠬࠢኈ㊂ࠍ␜ߒߡ޿߹ߔ‫ޕ‬ኈ㊂ߪ‫ޔ‬1971 ᐕ߆ࠄ 2002 ᐕ߹ߢߩ 31 ᐕ㑆ߢ⚂ 3, 300GB‫ޔ‬2002 ᐕ߆ࠄ 2008 ᐕ߹ߢߩ 6 ᐕ㑆ߢ⚂ 106,700GB ߣㄭᐕᕆỗߦჇടߒߡ޿߹ߔ‫ޕ‬ ౮⌀ 1 ߪ᳢↪ࠦࡦࡇࡘ࡯࠲ NEAC2200-700㧔1971 ᐕ㧕ߢ૶↪ߐࠇߚ࠺ࠖࠬࠢ࡮ࡈࠔࠗ࡞ⵝ⟎㧔ኈ㊂ߪ 134MB㧕‫ޔ‬౮⌀ 2 ߪ࠺ࠖࠬࠢ࡮ࡄ࠶ࠢⵝ⟎㧔9MB/บ㧕ߢߔ‫ޕ‬

౮⌀ 1

౮⌀ 2
 ዷ␜ຠ㧝ߪ ACOS2020(1987 ᐕ)ߩㅢାᯏེⵝ
⟎ߣߒߡ૶↪ߐࠇߚ MS-135 ߩ⏛᳇࠺ࠖࠬࠢⵝ⟎㧔85MB㧕ߢߔ‫⏛ޕ‬᳇࠺ࠖࠬࠢⵝ⟎ߩၮᧄ⊛ߥ᭴ᚑߢ޽ࠆ⸥㍳ߐࠇࠆ౞⋚ߣ⺒ߺᦠ߈ࠍⴕߥ߁ࠕ࡯
ࡓ߇⷗ࠄ߹ߔ‫ޕ‬

ዷ␜ຠ 1 

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 ዷ␜ຠ 2 ߪ‫ޔ‬Ꮐ஥߇᳢↪ࠦࡦࡇࡘ࡯࠲ ACOS2020 ߩ⏛᳇࠺ࠖࠬࠢⵝ⟎㧔1.3GB㧕‫ޔ‬ฝ஥߇
ACOS3900㧔1993 ᐕ㧕ߢ૶↪ߐࠇߚ⏛᳇࠺ࠖࠬࠢⵝ⟎㧔1.53GB㧕ߢߔ‫ޕ‬

ዷ␜ຠ 2 ዷ␜ຠ 3 ߪ‫ޔ‬TX7/i9610㧔2006 ᐕ㧕ߩࡈࠔࠗ࡞ࠨ࡯ࡃ㧔10TB㧕ߢ૶↪ߐࠇߚ⏛᳇࠺ࠖࠬࠢⵝ
⟎ߩ৻ㇱߢߔ‫ޔߪ⟎ⵝࠢࠬࠖ࠺ߩߎޕ‬1 ୘ߩ࠺ࠖࠬࠢࠍⶄᢙ୘߹ߣ߼ߡ৻บߩ⏛᳇࠺ࠖࠬࠢⵝ⟎ߣߒߡ▤ℂߔࠆ࠺ࠖࠬࠢࠕ࡟ࠗⵝ⟎ߢߔ‫ޕ‬Ꮐ஥߇ 1 ୘ߩ࠺ࠖࠬࠢ㧔300GB㧕‫ޔ‬ฝ஥߇࠺ࠖࠬࠢࠕ
࡟ࠗⵝ⟎ߢߔ‫⃻ޕ‬࿷ㆇ↪ߢឭଏߒߡ޿ࠆࡈࠔࠗ࡞ࠨ࡯ࡃ߽ߎߩ࠺ࠖࠬࠢࠕ࡟ࠗᒻᑼߩⵝ⟎ߢߔ‫ޕ‬

ዷ␜ຠ 3
 ዷ␜ຠ 4 ߪ‫ޔ‬೑↪⠪ߩᣇ߇ઁᯏ㑐ߣߩ࠺࡯࠲੤឵ߥߤߦࠃߊ೑↪ߐࠇߡ޿ߚࠝ
࡯ࡊࡦ࡝࡯ࠬᒻᑼߣࠞ࠮࠶࠻ᒻᑼߩ⏛᳇࠹࡯ࡊߢߔ‫ੱޔߪ߈ߣࠆߔ↪૶ޕ‬ᚻߢ⏛᳇࠹࡯ࡊⵝ⟎ߦ 1 ᧄߕߟ࠮࠶࠻ߒ߹ߔ‫ޕ‬
1997 ᐕ㗃߹ߢ࠮ࡦ࠲࡯ߢߪ‫࡝ࡦࡊ࡯ࠝޔ‬࡯࡞ߩ⏛᳇࠹࡯ࡊࠍ೑↪⠪ࡈࠔࠗ࡞ߩࡃ
ዷ␜ຠ 4࠶ࠢࠕ࠶ࡊߩߚ߼ߦᄢ㊂ߦ૶↪ߒߡ޿߹   ߒߚ‫৻ޕ‬ᐲߩࡃ࠶ࠢࠕ࠶ࡊߢᄙ޿ߣ߈ߪ
120 ᧄㄭߊߦ߽ߥࠅ߹ߒߚ‫ޕ‬ 
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ዷ␜ຠ 5 ߪ⥄േ⊛ߦ࠹࡯ࡊⵝ⟎ߦ࠮࠶࠻ߔࠆߎߣ߇ߢ߈ߚࠞ࡯࠻࡝࠶ࠫဳߩ⏛᳇࠹࡯ࡊߢߔ‫ޕ‬Ꮐ஥ߩࠞ࡯࠻࡝࠶ࠫ㧔⚂ 50MB㧕ߪ࠮࡞ߣ๭߫ࠇࠆⱎߩᎽ⁁ࠍߒߚᩰ⚊ᐶ㧔࿑ 1㧕ߦ⚊߼ࠄࠇ߹ߒߚ‫ߩߎޕ‬ᩰ⚊ᐶߪ‫ޔ‬ACOS1000 ߩߣ߈ߦᄢኈ㊂ࡈࠔࠗ࡞ࠪࠬ࠹ࡓ㧔MDF:Mass Data File㧕ߣߒߡ೑↪⠪߳ឭଏߐࠇ߹ߒߚ‫ޕ‬ਛᄩߩࠞ࡯࠻࡝࠶ࠫߪ ACOS2000 ᤨߦ૶↪ߒߚ߽ߩߢߔ‫ޕ‬ฝ஥ߩࠞ࡯࠻࡝࠶ࠫ㧔42GB㧕ߪ TX ᤨߦࡈࠔࠗ࡞ࠨ࡯ࡃߩࡃ࠶ࠢࠕ࠶ࡊⵝ⟎ߢ૶↪ߐࠇ߹ߒߚ‫ޕ‬         ዷ␜ຠ 5࠮࡞࿑ 1 MDF ߩⵝ⟎ᄖⷰ㧔࠮࡞ߪᏀ஥ਛᄩ㧕 ዷ␜ຠ 6 ߪ‫࡞࡯࠻ࠬࡦࠗߩࡓ࠹ࠬࠪޔ‬ᇦ૕߿ PC ߩ࠺࡯࠲੤឵ߦ૶↪ߐࠇߚ⏛᳇⸥㍳ᇦ૕㘃ߢߔ‫ޕ‬Ꮐ߆ࠄ 8 ࠗࡦ࠴‫ޔ‬5 ࠗࡦ࠴‫ޔ‬3.5 ࠗࡦ࠴ߩࡈࡠ࠶ࡇ࡯࠺ࠖࠬࠢ‫ޔ‬MO‫ޔ‬DAT ࠹࡯ࡊߥߤߢߔ‫ޕ‬

ዷ␜ຠ 6
 ዷ␜ቶߦ᧪ࠄࠇߚ⷗ቇ⠪ߩᣇߪ‫ޟޔ‬ᤄ‫ߣޠޕߚ޿ߡߞ૶ࠍ࡯ࡇ࠶ࡠࡈߩߎޔ‬ᙬ߆ߒߘ߁ߦ⹤ߐࠇ
߹ߔ‫ޕ‬ᒰὼߥ߇ࠄ⷗ቇ⠪ߩᐕઍߦࠃࠅ‫ߩᤨ↪૶߿࠭ࠗࠨߩߘޔ‬ᐕ઎ߪ㆑ߞߡ޿߹ߔ‫ޕ‬



=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)CWUUKCP)CWUU8KGYߩᇦ૕⾉಴ߦߟ޿ߡ 0Q ᧲ർᄢቇߢߪ)CWUUKCP߅ࠃ߮)CWUU8KGYߩࠨࠗ࠻࡜ࠗ࠮ࡦࠬࠍขᓧߒߡ߅ࠅ‫᧲ޔ‬ർᄢቇౝߩࠦࡦࡇࡘ࡯࠲ߦࠗࡦࠬ࠻࡯࡞ߔࠆߎߣ߇ߢ߈߹ߔ‫᧲ޕ‬ർᄢቇᚲዻߩᢎ⡯ຬ߹ߚߪቇ↢ߩ೑↪߇น⢻ߢߔ‫࡞࡯࠻ࠬࡦࠗޕ‬ᇦ૕ࠍ⾉ߒ಴ߒ߹ߔߩߢ‫ޔ‬೑↪ࠍᏗᦸߐࠇࠆᣇߪ೑↪↳⺧ᦠࠍ౒ห೑↪ᡰេଥ㧔࠮ࡦ࠲࡯㧝㓏ฃઃ㧕߹ߢߏឭ಴ਅߐ޿‫ޕ‬೑↪↳⺧ᦠߪએਅߩ࡝ࡦࠢ߆ࠄ࠳࠙ࡦࡠ࡯࠼ߢ߈߹ߔ‫ޕ‬JVVRYYYUUKUEVQJQMWCELRCRRNKECVKQPYQTFICWUUKCPANKEGPUGFQE)CWUUKCP&㧔9KPFQYU ‫ޔ‬15: ‫ޔ‬.KPWZ ‫ ࠬ࡯࠰ޔ‬㧕േ૞ⅣႺߦߟ޿ߡߪએਅߩ࡝ࡦࠢవߩࡍ࡯ࠫࠍߏෳᾖਅߐ޿‫ޕ‬
9KPFQYU 㧔JVVRYYYICWUUKCPEQOIARTQFIYJVO㧕
15: ‫ޔ‬.KPWZ ‫ ࠬ࡯࠰ޔ‬㧔JVVRYYYICWUUKCPEQOIARNCVJVO㧕)CWUU8KGY㧔9KPFQYU ‫ޔ‬.KPWZ 㧕േ૞ⅣႺߦߟ޿ߡߪ࡝ࡦࠢవߩࡍ࡯ࠫࠍߏෳᾖਅߐ޿‫ޕ‬JVVRYYYICWUUKCPEQOIARTQFIXARNCVJVO                                 㧔౒ห೑↪ᡰេଥ㧕ᐔ ᚑ  ᐕ ᐲ ⻠ ⠌ ળ ᩺ ౝ ‫ ᦬  ᦬  ޛ‬㐿 ௅ ಽ ‫ޜ‬㧔 0Q㧕 


0Q

ฬ⒓
ࡀ࠶࠻ࡢ࡯ࠢߣ
㧢࠮ࠠࡘ࡝࠹ࠖ౉㐷㧣 䌇䌡䌵䌳䌳䌩䌡䌮౉㐷㩷㧤 䌍㪸䌴䌨㪼䌭䌡䌴䌩䌣䌡౉㐷㩷㧥 䌕䌎䌉䌘౉㐷㩷 

㐿௅ᣣᤨ
⻠ Ꮷ
᦬ᣣ ㊄ ᳓ᧁ ᢘ᣿
 ᦬  ᣣ ㊄  ጯᧄ⋥᮸
ℂቇ⎇ⓥ⑼ ᦬  ᣣ Ἣ  ᮮ੗ ᷤᄩ ᖱႎ⑼ቇ⎇ⓥ⑼  ᦬  ᣣ ᦬㧕ᓟ⮮ ⧷ᤘ


ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ߣ ᦬  ᣣ Ἣ㧝㧜 ਗ೉ࠦࡦࡇࡘ࡯࠲ߩၮᧄ

⊛ߥ೑↪ᴺ
ࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ߣ ᦬  ᣣ ᳓㧝㧝 ਗ೉ࠦࡦࡇࡘ࡯࠲ߩ㜞ㅦ
ൻᛛᴺߩၮ␆㧔ታ⠌ᒻᑼ㧕㧝㧞䌍䌐䌉ࡊࡠࠣ࡜ࡒࡦࠣ౉㐷 ታ⠌ᒻᑼ 㧝㧟 䌍䌡䌲䌣౉㐷ᄢᴰ ஜᴦ

ౝኈ᭎⇛㨯ࡀ࠶࠻ࡢ࡯ࠢߩၮᧄ⊛ߥ઀⚵ߺ㩷㨯ࡀ࠶࠻ࡢ࡯ࠢߩෂ㒾ᕈߣ቟ోኻ╷㩷㨯㪞㪸㫌㫊㫊㫀㪸㫅 ߩၮᧄ⊛ߥ૶޿ᣇ㩷㨯㪤㪸㫋㪿㪼㫄㪸㫋㫀㪺㪸 ߩၮᧄ⊛ߥ૶޿ᣇ㩷㨯㪬㪥㪠㪯 ࠪࠬ࠹ࡓߩၮᧄ⊛ߥ૶޿ᣇ㩷㨯ࠛ࠺ࠖ࠲ߩ૶޿ᣇ㩷㨯ࡊࡠࠣ࡜ࡓߩታⴕᣇᴺ㩷㨯㩇㨺㩔㩩㨺㩄㩧㩕㩩㨷㨺㩊‫ޔ‬ਗ೉㩄㩧㩕㩩㨷㨺㩊ߩ⚫੺㩷
㨯⷗ቇ㩷
㨯೑↪ᴺ㩷

ᳯᎹ 㓉テ㩷㨯ታ⠌ߦࠃࠆࡊࡠࠣ࡜ࡓߩ㜞ㅦൻࠍ⋡⊛ߣߒߚᦨㆡൻ߅ࠃ߮ਗ೉ൻߩၮ␆㩷 ᦬  ᣣ ᧁ

ዊ᧻㩷 ৻ᒾ㩷㨯㪤㪧㪠 ߦࠃࠆਗ೉ࡊࡠࠣ࡜ࡒࡦࠣߩၮ␆㩷㨯೑↪ᴺ㩷 ᦬  ᣣ ㊄ౝ⮮ ⧷᮸Ꮏቇ⎇ⓥ⑼㨯㪤㪸㫉㪺 ߩၮᧄ⊛ߥ૶޿ᣇ㩷ฦ⻠⠌ળߩ⹦⚦߿↳ㄟߺߦ㑐ߒߡߪ‫ޕ޿ߐߛߊⷩߏࠍࠫ࡯ࡍࡉࠚ࠙ޔ‬JVVRYYYUUKUEVQJQMWCELRIWKFGMQU[WEIK                                     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࠮ࡦ࠲࡯⡯ຬ㧔⎇ⓥຬ㧕ߣߒߡ㧞ᐕ⋡ࠍㄫ߃ߚᲤᣣࠍㆊߏߒߡ޿߹ߔ‫⎇ߩ⑳ޕ‬ⓥಽ㊁ߪࠦࡦࡇࡘ࡯࠲ࠕ࡯ࠠ࠹ࠢ࠴ࡖߢߔ‫ޕ‬ㄭᐕߩࠦࡦࡇࡘ࡯࠲ߪᶖ⾌㔚ജߩ೥ᷫ߇ᄢ߈ߥ⺖㗴ߣߥߞߡ߅ࠅ‫ޔ‬⑳߽ࠦࡦࡇࡘ࡯࠲ࠕ࡯ࠠ࠹ࠢ࠴ࡖߩⷰὐ߆ࠄߎߩ⺖㗴ߦขࠅ⚵ࠎߢ޿߹ߔ‫ᦨޕ‬ㄭ‫࠲࡯ࡘࡇࡦࠦޔ‬ࠍߪߓ߼ߣߔࠆ IT ᯏེߩᶖ⾌㔚ജ߇ᣣᧄߩో㔚ജߩ 2025 ᐕ߹ߢߦ 20%ࠍ⿥߃ࠆߣ޿߁⸥੐ࠍ⷗
ߟߌ߹ߒߚ‫ޕ‬㔚ജߩଏ⛎ਇ቟߇ต߫ࠇߡ޿ࠆᤓ੹ߩߎߣ߽޽ࠅ‫⺖ߩߎޔ‬㗴ߩ␠ળ⊛ᗧ⟵ߣ޿ߞߚ߽ߩࠍᡷ߼ߡ⹺⼂ߔࠆߎߣߣߥࠅ߹ߒߚ‫੹ޕ‬ᓟ߽⎇ⓥᵴേࠍㅢߒߡ‫⺖ߩߎޔ‬㗴ߦขࠅ⚵ࠎߢ޿߈ߚ޿ߣᕁ޿߹ߔ‫ޕ‬
㧔/5㧕࠮ࡦ࠲࡯ߩ⡯ຬߣߒߡណ↪ߐࠇߡ㧞ᐕ߇⚻ㆊߒ߹ߒߚ‫ޕ‬㧞ᐕ೨ߣ޿߁ߣߜࠂ߁ߤ᧲ᣣᧄᄢ㔡ἴ߇޽ࠅ‫ޔ‬㔡ἴᓟߩ޽ࠊߚߛߒ޿ਛ⌕છߣߥࠅ߹ߒߚ‫઀ߩߢ࡯࠲ࡦ࠮ޕ‬੐ߪߣ޿߁ߣ‫ࠦ࡯ࡄ࡯ࠬޔ‬ࡦࡇࡘ࡯࠲ࠍ೑↪ߒߡ޿ࠆᣇߩࡊࡠࠣ࡜ࡓߩ㜞ㅦൻᡰេ߆ࠄ‫ޔ‬ᄢ್ࠞ࡜࡯ࡊ࡝ࡦ࠲ߩ↪⚕ߩ੤឵߹ߢ᏷ᐢߊታᣉߒߡ޿߹ߔ‫ߩ࠲࡯ࡘࡇࡦࠦ࡯ࡄ࡯ࠬޕ‬ᕈ⢻ࠍᒁ߈಴ߒߡ೑↪ߔࠆߣߥࠆߣࠦࡦࡇ
ࡘ࡯࠲ߩᄙߊߩ⍮⼂߇ᔅⷐߦߥࠆߩߢ‫ޔ‬ዋ‫ޘ‬ᢝዬ߇㜞޿ශ⽎ߢߔ‫ߩߎޕ‬ᢝዬࠍૐߊߒߡᄙߊߩᣇ
ߦࠬ࡯ࡄ࡯ࠦࡦࡇࡘ࡯࠲ࠍ೑↪ߒߡ޿ߚߛߌࠆࠃ߁ߦߒߡ޿߈ߚ޿ߣᕁ޿߹ߔ‫ޕ‬
㧔&5㧕

ࠨࠗࡃ࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯࡮ᖱႎㇱᖱႎၮ⋚⺖ࠬ࠲࠶ࡈ
ォ಴࡮ォ౉⠪ߩ߅⍮ࠄߖ㩷=ォ಴?  ᣧဈືᄦ㧔ᐼോଥ ࡮ଥ㐳㧕ᢎ⢒࡮ቇ↢ᡰេㇱ߳రᧁ੝♿㧔ળ⸘ଥ࡮৻⥸⡯ຬ㧕ℂቇㇱ࡮ℂቇ⎇ⓥ⑼߳
㪲ォ౉㪴㩷  ૒⮮ᕺ⟤ሶ㧔✚ോଥ ࡮ଥ㐳㧕කቇㇱ࡮කቇ♽⎇ⓥ⑼ࠃࠅ
᧛ጊ৻ᒄ㧔ળ⸘ଥ࡮ਥછ㧕ⅣႺ⑼ቇ⎇ⓥ⑼ࠃࠅ
  Ỉ↰ብผ㧔%5+ ⎇ⓥቶ࡮↥ቇቭㅪ៤⎇ⓥຬ㧕ណ↪ࠃࠅᣥᐼോଥߪ✚ോଥߣߥࠅ߹ߒߚ‫ޕ‬
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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

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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。