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

页码：1925 / 1933

页数：9

共 44 条

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