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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:273

Article

Borsche, Raul¹  Kall, Jochen¹ 

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

关键词: ADER;    Network;    Hyperbolic conservation law;    WENO;    Generalized Riemann problem;    Coupling;   

DOI  :  10.1016/j.jcp.2014.05.042

来源: Elsevier

【 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.

【 授权许可】

Free