An exactly conservative particle method for one dimensional scalar conservation laws

被引：8
|
作者：
Farjoun, Yossi [1 ]
Seibold, Benjamin [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2009年 / 228卷 / 14期
基金：
美国国家科学基金会;
关键词：
Conservation law; Meshfree; Particle method; Particle management; ESSENTIALLY NONOSCILLATORY SCHEMES; HYDRODYNAMICS;
D O I：
10.1016/j.jcp.2009.04.013
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A particle scheme for scalar conservation laws in one space dimension is presented. Particles representing the solution are moved according to their characteristic velocities. Particle interaction is resolved locally, satisfying exact conservation of area. Shocks stay sharp and propagate at correct speeds, while rarefaction waves are created where appropriate. The method is variation diminishing, entropy decreasing, exactly conservative, and has no numerical dissipation away from shocks. Solutions, including the location of shocks, are approximated with second order accuracy. Source terms can be included. The method is compared to CLAWPACK in various examples, and found to yield a comparable or better accuracy for similar resolutions. (C) 2009 Elsevier Inc. All rights reserved.
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页码：5298 / 5315
页数：18
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