 ⿥ᄢⷙᮨᢙ୯⸘▚ߦၮߠߊᩭⲢวἹవㅴࡉ࡜ࡦࠤ࠶࠻࠺ࠩࠗࡦ᧦ઙߦ߅ߌࠆ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 MHDੂᵹᾲવ㆐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 i0,                                 (1)wui* wui u j

wt
wx j

* *

w 2I *
wx i wx iwT *wt

FG i1 § wI *·w 2 u i*
Vw § p* ·¨¨ ¸¸  Q
 H ijk ¨  H jlm ul* Bm ¸ Bk ,          (2)¨ wx¸wx j wx j Uwxi © U ¹j©
¹w
H ijk u *j Bk ,                            (3)wx iwT *u *j
wx jDw 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ߦCrank-Nicolson ᴺ㧘࿶ജ൨㈩㗄ߦ Euler 㒶⸃ᴺࠍ↪޿ߚ㧚߹ߚਥᵹ෸߮ࠬࡄࡦᣇะߩࠛࠗ࡝ࠕࠫࡦࠣ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)㜞ᰴ♖ᐲᏅಽᴺᏅಽᴺߩ႐วߦ߅޿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࠼᏷ߩᷫዋߦട߃㧘ࡁ࡯࠼㑆ㅢା᏷ߩᷫዋ੍߽᷹ߐࠇࠆ㧚ᓥߞߡ㧘ࡈ࡞ࡃࠗ࠮࡚ࠢࠪࡦࡃࡦ࠼᏷ߦࠃࠅߘߩṶ▚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 ) ߪ400 – 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 ⒟ᐲ߇ᔅⷐߣߥࠆ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 PassingInterface)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⢻⸘▚ᯏᩰሶᢙታലṶ▚ㅦᐲታⴕല₸(x,y,z)[TFLOPS][%]

2000, 2032, 1920

6.5

24.81

7.7

29.53

ࠬࡍࠢ࠻࡞ᴺSX-9/256

12 ᰴ♖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࠻࡞ᴺߦ߅޿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࡟࡯࠲ !"#$%&'()*+,-./012,3456789: ;<=>?@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.)

10500128256384512CPUs640

7688961024࿑ 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᭴ㅧߩ಴⃻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޿ߡᦨૐᔅⷐಽ⸃⢻ߢ޽ࠆ㧘'x+=18, 'z+=9 ⒟ᐲߣߥࠆ(਄ઃ߈ᷝ߃ሼ+ߪ៺ᡂㅦᐲߣേ☼ᕈଥᢙߦࠃࠅⷙᩰൻߒߚ୯ߢ޽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2ndFDM ߩ႐วߪ㧘ੂࠇߩㆊዊ⹏ଔ߇⷗ࠄࠇࠆ߇㧘6th FDM ෸߮ 12th FDM ߩ႐วߪ㧘ࠬࡍࠢ࠻࡞ᴺߩ⚿ᨐߣቯ㊂⊛ߦ৻⥌ߔࠆ㧚
425++urms2wrms++105

2nd FDM
6th FDM
12th FDM
PSM

3+U+15urms , vrms , wrms

20

2nd FDM
6th FDM
12th FDM
PSM

1U + = 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-multipliedspectrum, 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࡯ࠨࠗࠛࡦࠬ࠮ࡦ࠲࡯㑐ଥฦ૏ߦ᦭⋉ߥߏᜰዉߣߏදജࠍ޿ߚߛ޿ߚ㧚⸥ߒߡ⻢ᗧࠍ⴫ߔࠆ㧚ෳ⠨ᢥ₂
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[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