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

  • 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.

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Author:Raul Borsche, Jochen Kall
URN (permanent link):urn:nbn:de:hbz:386-kluedo-36744
Document Type:Preprint
Language of publication:English
Publication Date:2013/12/13
Year of Publication:2013
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2013/12/16
Number of page:24
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section {04 in that areag 68-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012