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,

引用

页码：498 / 504

页数：7

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