IPSJ SIG Tchnicl Rpo OhHlp OhHlp OhHlp OhHlp OhHlp 2. ٢.١ E = B, (1) B = µ J, (2) n E + J B p =, (3) dv = q dx (E + v B), = v. d m d (4) (1) (2) Mxwll

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1 IPSJ SIG Tchnicl Rpo OhHlp OhHlp OhHlp Cyclic Lpfog I/O Wk/Song Sclbiliy A Plllizion of Picl-Fluid Hybid Plm Simulion wih h OhHlp Lod Blnc Jun Akiym, 1 Mfumi Shoji, 2 Yohi Miyk, 3 Yohihu Omu 2 nd Hiohi Nkhim 3 Thi pp dcib plll implmnion of picl-fluid hybid plm imulion wih ou lod blncing mhod OhHlp. In hybid imulion, h co o imul h pog of lcomgnic fild i mo ignificn hn h in full-picl imulion who OhHlp d plllizion h ldy bn povd fficin. Thu in hi wok w viid h iu of h co blnc bwn compuion nd communicion, pcilly fo Cyclic Lpfog mhod nd h d-off bwn ducing h numb of communicion nd incing compuionl moun. W lo dignd nd implmnd plll- I/O fo npho nd dump, bing nil fo pcicl u of ou imulo, o concil plll pfomnc nd convninc of u. Ou vluion xhibid h h pdup wih 256 poc i 241- o 456-fold nd h upping compuionl co i h fi pioiy in Cyclic Lpfog. W lo obind vlubl inigh bou h lionhip bwn wk/ong clbiliy nd npho fquncy. 1. MHD Mgno-Hydo-Dynmic 1TB OhHlp 1) OhHlp OhHlp 1 Gdu School of Infomic, Kyoo Univiy 2 Rch Iniu fo Suinbl Humnoph, Kyoo Univiy 3 Acdmic Cn fo Compuing nd Mdi Sudi, Kyoo Univiy 1 c 21 Infomion Pocing Sociy of Jpn

2 IPSJ SIG Tchnicl Rpo OhHlp OhHlp OhHlp OhHlp OhHlp 2. ٢.١ E = B, (1) B = µ J, (2) n E + J B p =, (3) dv = q dx (E + v B), = v. d m d (4) (1) (2) Mxwll E B µ J (3) (4) (3), n, J, p p = p (n /n ) γ (5) p, n γ (4) x, v, q, m n + q n =. (6) n (6) (2) (3) E = J i B ρ i + ( B) B µ ρ i p ρ i. (7) E = E(ρ i, J i, B, p ) (7) J i = J J ρ i J i = q v, (8) x R ρ i = q. (9) x R 2 c 21 Infomion Pocing Sociy of Jpn

3 IPSJ SIG Tchnicl Rpo ٢.٢ fo(=;<imp;++){ } bfild(); pu(); vlociy(); poiion(); cun1(); chg(); pu(); bfild(); cun2(); 1 Fig. 1 Min Loop of Simulion 5) CAM-CL(Cun Advnc Mhod nd Cyclic Lpfog) 2) Bunmn-Boi 3) CAM-CL pdico-coco 3) CAM-CL ١ ٢ 2 bfild() B E (1) (7) pu() p x v B E J ρ p known 5 known 4 12 known 1 1 known 2 known known known known Fig. 2 Tim Ch of Min Loop 3 2 (4) cun1() cun2() J i chg() ρ i (8) (9) bfild() Cyclic Lpfog Cyclic Lpfog bfild + /2 2k = /(2k) (1) (7) + B E B + = B E, (1) E + = E(ρ i, J i, B +, p ). (11) + p (1 p < k) (5) vlociy() poiion() v x 3 c 21 Infomion Pocing Sociy of Jpn

4 IPSJ SIG Tchnicl Rpo B E (i,j,k+1) (i,j+1,k+1) (i+1,j+1,k+1) (i+1,j,k+1) (i+1/2,j+1/2,k+1/2) 3 Cyclic Lpfog Fig. 3 Tim Ch of Cyclic Lpfog (i,j+1,k) (i+1,j+1,k) B +(p+1) = B +(p 1) 2 E +p, (12) E +(p+1) = E(ρ i, J i, B +(p+1), p ). (13) (12) +k B +k +(k 1) + k B +k B +k = B +(k 1) E +k. (14) + /2 B + /2 = B+k + B +k 2 = B+ /2 + B + /2. (15) 2 = /8 ٣ ٢.٣ E B J i ρ i p ٤ (1) (7) E B E B PIC(Picl In Cll) (i,j,k) Fig. 5 (i+1,j,k) 4 Fig. 4 Ing nd Hlf-Ing Gid OhHlp Spc Domin Piioning in OhHlp 3. OhHlp مبود ٣.١ ٥ OhHlp P 4 c 21 Infomion Pocing Sociy of Jpn

5 IPSJ SIG Tchnicl Rpo P (P/N)(1 + α) P limi (16) P N α P P/N 5 (16) n n Q n n m Q m n n Q n (16) Q n = Q n n + Q m n (P/N)(1 + α) P limi (17) poiion() ( 1 ) (16) ( 2 ) (16) n Q n P/N ( 1 ) (16) ( 2 ) (16) (17) ( 3 ) (16) (17) (17) 1) ٣.٢ OhHlp 3.1 (4) 2.2 bfild() (7) OhHlp oh3 bc fild(pim, c, fid) c 21 Infomion Pocing Sociy of Jpn

6 IPSJ SIG Tchnicl Rpo oh3 duc fild(pim, c, fid) OhHlp oh3 xchng bod(pi, c, fid, p) 3.1 poiion() oh3 nbound(p,) ٣.٣ 2.3 OhHlp 2.2 bfild() (7) k ٣.٤ HDF 6) HDF PC HDF5 MPI I/O I/O OhHlp I/O 6 c 21 Infomion Pocing Sociy of Jpn

7 IPSJ SIG Tchnicl Rpo Mxwll OhHlp 4. ٤.١ OhHlp T2K HX6 HX6 AMD Opon 32GB DDR2-667 Fon9 OhHlp C (v. 3) -Kf x MPI N = 2 n (n = 8) CPU p q = N, (p : q : ) {(1 : 1 : 1), (2 : 1 : 1), (2 : 2 : 1)} Wk Scling Song Scling Wk Scling Song Scling N 4 2N N > 4 16 (16) (17) α.2 ٤.٢ 3.3 k 8 w 1, 2, 4, 8 bfild() 64 w = w = w = 1 p J i ρ i w 1 (= ) 64 3 ٦ 6 w = 1 w = 2 w w 7 c 21 Infomion Pocing Sociy of Jpn

8 6 IPSJ SIG Tchnicl Rpo ] [ im n io u c x g v 圧電流電荷通信電磁場通信電磁場計算 / l 15 i c p ong/blncd ong/unblncd wk/blncd wk/unblncd # of poc # of wing 6 ( = 64 3 ) Fig. 6 Excuion Tim o Upd Elcomgnic Fild Vlu (ubdomin iz = 64 3 ) 64 3 w 2 KB w > 1 w 1 w w w w = 1 ٤.٣ ه ى فكس ه س/ فمط Wk/Song Scling 1 2 ٧ / [# of picl] [# of im p] [xc. im xcluding iniilizion] Wk Scling.88 Mpicl/ Tbl 1 7 Fig. 7 Pfomnc of Simulion 1 Wk Scling Pfomnc of Wk Scling Simulion #poc blnc unblnc Tbl /.82.72/ / / / / / / / / / / / / / / / / Song Scling Pfomnc of Song Scling Simulion #poc blnc unblnc 1.37/.7.37/ / / / / / / / / / / / / / / / / c 21 Infomion Pocing Sociy of Jpn

9 IPSJ SIG Tchnicl Rpo Fig. 8 1% l n io o p o p im n io u c x 9% 8% 7% 6% 5% 4% 3% 2% 1% % 粒移送 & 負荷均衡電磁場計算 & 通信粒計算 # of poc 8 Song Scling Excuion Tim Bkdown in Song Scling Simulion 7% Song Scling.53 Mpicl/ ٨ % OhHlp % 34% 2/3 Song Scling /3 : : 1 2 : 1 Song Scling Wk Scling % % 1.6% Song Scling Wk Scling % 1.7 Wk Scling Song Scling CPU 2 12MB, 8MB Song Scling 2 4 ءءب ٤.٤ 3.4 HDF 4.1 Wk/Song Scling Song Scling Wk Scling Song Scling c 21 Infomion Pocing Sociy of Jpn

10 6 6 IPSJ SIG Tchnicl Rpo 25 2 wih npho wihou npho / l 15 i c p # of poc 25 2 / l 15 c i p 1 1 vy 1 imp vy 5 imp vy 2 imp vy imp wihou npho Fig. 9 9 (Wk Scling) Wk Scling Simulion Pfomnc wih nd wihou Snpho # of poc ٩ ١٠ Wk/Song Scling Wk Scling ١١ 64 1 Song Scling 192 Song Scling 1 ١٢ 64 Fig. 1 1 (Song Scling) Song Scling Simulion Pfomnc wih nd wihou Snpho ] [ im 2. g in i 1.5 w g 1. v OhHlp OhHlp Cyclic Lpfog Fig. 11 # of poc 11 (Wk Scling) Tim o Oupu Snpho in Wk Scling Simulion 1 c 21 Infomion Pocing Sociy of Jpn

11 IPSJ SIG Tchnicl Rpo Fig ] [ im.4 g in i.3 w g.2 v # of poc 12 (Song Scling) Tim o Oupu Snpho in Song Scling Simulion Wk Scling Song Scling #2311 1) H. Nkhim, Y. Miyk, H. Uui nd Y. Omu: OhHlp: A Sclbl Domin- Dcompoing Dynmic Lod Blncing fo Picl-in-Cll Simulion. In Poc. 23d Inl.Conf.Supcompuing, pp.9 99 (29). 2) A.P.Mhw: Cun Advnc Mhod nd Cyclic Lpfog fo 2D Mulipci Hybid Plm Simulion. J.Compu.Phy., Vol.112, pp (1994). 3) H. Mumoo nd Y. Omu: Compu Spc Plm Phyic. T Scinific Publihing Compny (1993). 4) H. Nkhim: OhHlp Liby Pckg fo Sclbl Domin-Dcompod PIC Simulion, hp:// (29). 5) M. Shoji, Y. Omu, B. T. Tuuni, O. P. Vkhoglydov nd B. Lmbg: Mio Inbiliy nd L-mod Elcomgnic Ion Cycloon Inbiliy: Compiion in h Eh Mgnohh, J. Gophy. R., 114, A123, doi:1.129/28ja1438 (28). 6) Th HDF Goup: Infomion, Suppo, nd Sofw. hp:// (29). 11 c 21 Infomion Pocing Sociy of Jpn

Ł\”ƒ-2005

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