Entropy Stable Discontinuous Galerkin Methods for Nonlinear Conservation Laws on Networks and Multi-Dimensional Domains

被引：3

作者：

Wu, Xinhui ^{[1
]}

Chan, Jesse ^{[1
]}

机构：

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

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2021年 / 87卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s10915-021-01464-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a high-order entropy stable discontinuous Galerkin method for nonlinear conservation laws on both multi-dimensional domains and on networks constructed from one-dimensional domains. These methods utilize treatments of multi-dimensional interfaces and network junctions which retain entropy stability when coupling together entropy stable discretizations. Numerical experiments verify the stability of the proposed schemes, and comparisons with fully 2D implementations demonstrate the accuracy of each type of junction treatment.

引用

页数：34

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