Computing a null divergence velocity field using smoothed particle hydrodynamics

被引:42
作者
Colin, F.
Egli, R. [1 ]
Lin, F. Y.
机构
[1] Univ Sherbrooke, Dept Informat, Sherbrooke, PQ J1K 2R1, Canada
[2] Laurentian Univ, Dept Math & Comp Sci, Sudbury, ON P3E 2C6, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
smoothed particle hydrodynamics (SPH); incompressible flows; Helmholtz-Hodge decomposition; meshfree particle method;
D O I
10.1016/j.jcp.2006.01.021
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A new use of smoothed particle hydrodynamics (SPH) in fluid simulation is presented: an algorithm solving the Helmholtz-Hodge decomposition using SPH in order to find the null divergence velocity field for incompressible flow simulation. Accordingly, a new version of the Laplacian for a vector field is proposed here. In order to improve the accuracy of the SPH technique, the paper also presents some test problems for understanding the limitations of different kinds of gradient and Laplacian approximation formulas. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:680 / 692
页数:13
相关论文
共 23 条
[11]  
Koshizuka S, 1998, INT J NUMER METH FL, V26, P751, DOI 10.1002/(SICI)1097-0363(19980415)26:7<751::AID-FLD671>3.0.CO
[12]  
2-C
[13]  
Koshizuka S., 1995, Computational Fluid Dynamics Journal, V113, P134
[14]  
Liu G. R., 2003, SMOOTHED PARTICLE HY, DOI DOI 10.1142/5340
[15]   NUMERICAL APPROACH TO TESTING OF FISSION HYPOTHESIS [J].
LUCY, LB .
ASTRONOMICAL JOURNAL, 1977, 82 (12) :1013-1024
[16]   SMOOTHED PARTICLE HYDRODYNAMICS [J].
MONAGHAN, JJ .
ANNUAL REVIEW OF ASTRONOMY AND ASTROPHYSICS, 1992, 30 :543-574
[17]   Modeling low Reynolds number incompressible flows using SPH [J].
Morris, JP ;
Fox, PJ ;
Zhu, Y .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 136 (01) :214-226
[18]  
Muller M., 2003, ACM SIGGRAPH/Eurographics Symposium on Computer Animation, P154
[19]   Particle-based simulation of fluids [J].
Premoze, S ;
Tasdizen, T ;
Bigler, J ;
Lefohn, A ;
Whitaker, RT .
COMPUTER GRAPHICS FORUM, 2003, 22 (03) :401-410
[20]  
STAM J, 1999, P 26 ANN C COMP GRAP, P121, DOI DOI 10.1145/311535.311548