A 3D higher order Laplacian model for enhancement and stabilization of pressure calculation in 3D MPS-based simulations

被引:89
作者
Khayyer, Abbas [1 ]
Gotoh, Hitoshi [1 ]
机构
[1] Kyoto Univ, Dept Civil & Earth Resources Engn, Nishikyo Ku, Kyoto 6158540, Japan
关键词
Particle methods; 3D MPS method; Pressure enhancement and stabilization; 3D higher order Laplacian model; SMOOTHED PARTICLE HYDRODYNAMICS; INCOMPRESSIBLE SPH METHOD; WATER-SURFACE TRACKING; WAVE IMPACT PRESSURE; BREAKING WAVES; SEMIIMPLICIT METHOD; STABILITY; FLOWS; FLUID;
D O I
10.1016/j.apor.2012.05.003
中图分类号
P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
A 3D higher order Laplacian model is proposed for enhancement and stabilization of pressure calculation by the MPS (Moving Particle Semi-implicit [1]) method. The 3D higher order Laplacian model is derived by taking the divergence of a particle-based gradient model [2] and is then applied for discretization of Laplacian of pressure corresponding to the Poisson Pressure Equation (PPE). The enhancing and stabilizing effect of the 3D higher order Laplacian model is shown through simulations of two benchmark tests, namely, designed exponentially excited sinusoidal pressure oscillations [3] and a schematic dam break with an obstacle [4]. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:120 / 126
页数:7
相关论文
共 42 条
[1]  
Belytschko T, 2000, INT J NUMER METH ENG, V48, P1359, DOI 10.1002/1097-0207(20000730)48:9<1359::AID-NME829>3.0.CO
[2]  
2-U
[3]   Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations [J].
Bonet, J ;
Lok, TSL .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 180 (1-2) :97-115
[4]  
Bonet J, 2000, INT J NUMER METH ENG, V47, P1189, DOI 10.1002/(SICI)1097-0207(20000228)47:6<1189::AID-NME830>3.0.CO
[5]  
2-I
[6]  
Chen JK, 1999, INT J NUMER METH ENG, V46, P231, DOI 10.1002/(SICI)1097-0207(19990920)46:2<231::AID-NME672>3.0.CO
[7]  
2-K
[8]   Numerical simulation of interfacial flows by smoothed particle hydrodynamics [J].
Colagrossi, A ;
Landrini, M .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 191 (02) :448-475
[9]   SMOOTHED PARTICLE HYDRODYNAMICS - THEORY AND APPLICATION TO NON-SPHERICAL STARS [J].
GINGOLD, RA ;
MONAGHAN, JJ .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1977, 181 (02) :375-389
[10]   Key issues in the particle method for computation of wave breaking [J].
Gotoh, H ;
Sakai, T .
COASTAL ENGINEERING, 2006, 53 (2-3) :171-179