粒子法による流れの数値解析

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1 Numercal Analyss of Flow usng Partcle Method Sech KOSHIZUKA Los Alamos PAF Partcle-and-Force MAC Marker-and- Cell MAC PIC Partcle-n-Cell E-mal: kosh@utnl.jp PIC Los Alamos Harlow 1 PAF SPH Smoothed Partcle Hydrodynamcs 2 SPH MPS Movng Partcle Sem-mplct , 7 8 9

2 MPS r e 2 MPS 2.1 ρ t = 0 Du Dt = 1 ρ P + ν 2 u + f 1 2 MPS MPS 2.2 MPS w r e w (r) = r 1 0 r < r e 3 0 r e r r 3 r e 1 1 r = 0 w MPS r e MPS 3 j n = w ( rj r ) 4 j 1 n φ φ = d φ j φ ( ) ( n 0 rj r r j r 2 w rj r ) 5 j

3 232 j r j r 2 r j r r e j r e j j 2 2 j w d SPH MPS SPH MPS MPS 3 MPS φ = 2d [ (φ ) ( λ n 0 j φ w rj r ) ] 6 j 3 j λ λ = 3 r j r 2 ( w rj r ) j w ( rj r ) 7 j MPS 12

4 233 MPS MPS MPS SMAC Smplfed MAC 2 u r u = u n + t [ ν 2 u n + f n] 8 r = r n + t u 9 n 0 n n 0 n 0 n 0 = n + n 10 u u = t n+1 P 11 ρ n n 0 t + u = P n+1 = ρ n n 0 t 2 n P n+1 11 u n+1 = u + u r n+1 = r + t u n 0 13 n n 0 PIC 14 MPS 3 r = 0 2

5 234 2 n 0 4 PAF SPH SPH SPH 2.4 MPS n <βn 0 16 β P n+1 = 0 β β β 4 MPS MPS 15 DEM Dstnct Element Method 3 MPS MPS 4

6 MPS 5

7 MPS 6 1 MPS ALE Arbtrary Lagrangan-Euleran MAFL Meshless Advecton usng Flowdrectonal Local-grd MPS MPS MAFL ALE MPS MAFL 96 C 110 C 7 1 x y2 MPS MAFL MPS MPS MAFL ALE 9, MPS 8 X 1% 17

8 越塚誠一図6 円筒水槽の変形と液面振動の相互作用図 7 サブクール核沸騰における単一気泡の成長と離脱図8 蒸気爆発における溶融液滴の細粒化過程 237

9 238 1 MPS x y MPS 4 MPS MPS MPS MPS 9 13

10 239 1 Harlow, F. H. : PIC and Its Progeny, Comput. Phys. Comm Monaghan, J. J. : An Introducton to SPH, Comput. Phys. Comm Koshzuka,S.,Tamako,H.&Oka,Y.: APartcle Method for Incompressble Vscous Flow wth Flud Fragmentaton, Comput. Flud Dyn. J Koshzuka, S. & Oka, Y. : Movng-Partcle Sem- Implct Method for Fragmentaton of Incompressble Flud, Nucl. Sc. Eng :, Koshzuka, S., Nobe, A. & Oka, Y. : Numercal Analyss of Breakng Waves usng the Movng Partcle Sem-mplct Method, Int. J. Numer. Meth. Fluds ,,, :, Yoon, H. Y., Koshzuka, S. & Oka, Y. : Drect Calculaton of Bubble Growth, Departure, and Rse n Nucleate Pool Bolng, Int. J. Multphase Flow Koshzuka, S., Ikeda, H. & Oka, Y. : Numercal Analyss of Fragmentaton Mechansms n Vapor Explosons, Nucl. Eng. Des Chkazawa, Y., Koshzuka, S. & Oka, Y. : A Partcle Method for Elastc and Vsco-plastc Structures and Flud-structure Interactons, Comput. Mech Chkazawa, Y., Koshzuka, S. & Oka, Y. : Numercal Analyss of Three-dmensonal Sloshng n an Elastc Cylndrcal Tank usng Movng Partcle Sem-mplct Method, Comput. Flud Dyn. J Ghonem, A. F. & Sherman, F. S. : Grd-free Smulaton of Dffuson usng Random Walk Methods, J. Comput. Phys Koshzuka, S., Ohta, K. & Oka, Y. : Development of a 3-D Calculaton Scheme usng Movng Partcle Sem-mplct Method for Thermal Hydraulcs, Proc. 6th Int. Conf. Nucl. Eng. ICONE-6, San Dego, May 10-15, 1998, ICONE ,, :, Koshzuka, S., Chkazawa, Y. & Oka, Y. : Partcle Method for Flud and Sold Dynamcs, Proc. Frst MIT Conf. on Computatonal Flud and Sold Mechancs, Boston, June 12-15, 2001, Koshzuka, S. & Oka, Y. : Applcaton of Movng Partcle Sem-mplct Method to Nuclear Reactor Safety, Comput. Flud Dynamcs J Lu, J., Koshzuka, S. & Oka, Y. : Investgaton on Energetcs of Ex-vessel Vapor Exploson Based on Spontaneous Nucleaton Fragmentaton, J. Nucl. Sc. Technol Nomura, K., Koshzuka, S., Oka, Y. & Obata, H. : Numercal Analyss of Droplet Breakup Behavor usng Partcle Method, J. Nucl. Sc. Technol

FRP SPH(Smoothed Partcle Hydrodynamcs) (3) MPS(Movng Partcle sem-mplct) (4) MPS (5) (6) (7, 8) (9) (10) (11) Tama and Koshzuka LSMPS(Least Squares Mov

FRP SPH(Smoothed Partcle Hydrodynamcs) (3) MPS(Movng Partcle sem-mplct) (4) MPS (5) (6) (7, 8) (9) (10) (11) Tama and Koshzuka LSMPS(Least Squares Mov Transactons of JSCES, Paper No.20160015 Ansotropc Hgh Vscosty Flud Analyss Usng a Partcle Method for Evaluatng CFRTP Press Moldng Process 1 1 1 2 2 Ryosaku SHINO, Tasuku TAMAI, Sech KOSHIZUKA, Akra MAKI