EFFICIENT ENTROPY STABLE GAUSS COLLOCATION METHODS

被引：36

作者：

Chan, Jesse ^{[1
]}

Fernandez, David C. Del Rey ^{[2
]}

Carpenter, Mark H. ^{[3
]}

机构：

[1] Rice Univ, Computat & Appl Math, Houston, TX 77005 USA

[2] Univ Toronto, Inst Aerosp Studies, N York, ON M3H 5T6, Canada

[3] NASA, Computat Modeling & Simulat Branch, Langley Res Ctr, Hampton, VA 23681 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2019年 / 41卷 / 05期

关键词：

high order; discontinuous Galerkin; nonlinear conservation laws; entropy; hyperbolic; compressible Euler; DISCONTINUOUS GALERKIN METHODS; NAVIER-STOKES EQUATIONS; BY-PARTS OPERATORS; COMPRESSIBLE EULER; CONSERVATION-LAWS; SCHEMES; ORDER; FORM; DISCRETIZATION; QUADRATURE;

D O I：

10.1137/18M1209234

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied on the use of Gauss-Legendre-Lobatto collocation points and their equivalence with summation-by-parts (SBP) finite difference operators. In this work, we show how to efficiently generalize the construction of semidiscretely entropy stable schemes on tensor product elements to Gauss points and generalized SBP operators. Numerical experiments suggest that the use of Gauss points significantly improves accuracy on curved meshes.

引用

页码：A2938 / A2966

页数：29

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