Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics

被引：43
|
作者：
Vilar, Francois [1 ]
Maire, Pierre-Henri [1 ]
Abgrall, Remi [2 ,3 ]
机构：
[1] CEA, CESTA, F-33114 Le Barp, France
[2] Univ Bordeaux, Team Bacchus, Inst Math Bordeaux, F-33405 Talence, France
[3] INRIA, F-33405 Talence, France
来源：
COMPUTERS & FLUIDS | 2011年 / 46卷 / 01期
关键词：
DG schemes; Lagrangian hydrodynamics; Hyperbolic conservation laws; Slope limiting; FINITE-ELEMENT-METHOD;
D O I：
10.1016/j.compfluid.2010.07.018
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We present cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and also for the one-dimensional Lagrangian hydrodynamics up to third-order. We also demonstrate that a proper choice of the numerical fluxes allows to enforce stability properties of our discretizations. (C) 2010 Elsevier Ltd. All rights reserved,
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页码：498 / 504
页数：7
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