ADER schemes and high order coupling on networks of hyperbolic conservation laws

被引：22

作者：

Borsche, Raul ^{[1
]}

Kall, Jochen ^{[1
]}

机构：

[1] TU Kaiserslautern, D-67663 Kaiserslautern, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 273卷

关键词：

ADER; Network; Hyperbolic conservation law; WENO; Generalized Riemann problem; Coupling; ESSENTIALLY NONOSCILLATORY SCHEMES; FINITE-VOLUME SCHEMES; RIEMANN PROBLEM; EFFICIENT IMPLEMENTATION; UNSTRUCTURED MESHES; GAS NETWORKS; BALANCE LAWS; P-SYSTEM; SIMULATIONS; EQUATIONS;

D O I：

10.1016/j.jcp.2014.05.042

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article we present a method to extend high order finite volume schemes to networks of hyperbolic conservation laws with algebraic coupling conditions. This method is based on an ADER approach in time to solve the generalized Riemann problem at the junction. Additionally to the high order accuracy, this approach maintains an exact conservation of quantities if stated by the coupling conditions. Several numerical examples confirm the benefits of a high order coupling procedure for high order accuracy and stable shock capturing. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：658 / 670

页数：13

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