A second-order compatible staggered Lagrangian hydrodynamics scheme using a cell-centered multidimensional approximate Riemann solver

被引：33
|
作者：
Loubere, Raphael [1 ]
Maire, Pierre-Henri [2 ]
Vachal, Pavel [3 ]
机构：
[1] Univ Toulouse, Inst Math Toulouse, Toulouse, France
[2] Univ Bordeaux 1, CEA, CNRS, UMR CELIA, Bordeaux, France
[3] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Prague, Czech Republic
来源：
ICCS 2010 - INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, PROCEEDINGS | 2010年 / 1卷 / 01期
关键词：
Lagrangian hydrodynamics; artificial viscosity; Riemann solver; second order; ARTIFICIAL VISCOSITY;
D O I：
10.1016/j.procs.2010.04.216
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We develop a general framework to derive and analyze staggered numerical schemes devoted to solve hydrodynamics equations in 2D. In this framework a cell-centered multi-dimensional approximate Riemann solver is used to build a form of artificial viscosity that leads to a conservative, compatible and thermodynamically consistent scheme. A second order extension in space and time for this scheme is proposed in this work and we prove on numerical examples the validity of this approach.
引用
收藏
页码：1925 / 1933
页数：9
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