Universität zu Köln

Winters, Andrew R. and Gassner, Gregor J. (2016). Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations. J. Comput. Phys., 304. S. 72 - 109. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

Full text not available from this repository.

Abstract

In this work, we design an entropy stable, finite volume approximation for the ideal magnetohydrodynamics (MHD) equations. The method is novel as we design an affordable analytical expression of the numerical interface flux function that discretely preserves the entropy of the system. To guarantee the discrete conservation of entropy requires the addition of a particular source term to the ideal MHD system. Exact entropy conserving schemes cannot dissipate energy at shocks, thus to compute accurate solutions to problems that may develop shocks, we determine a dissipation term to guarantee entropy stability for the numerical scheme. Numerical tests are performed to demonstrate the theoretical findings of entropy conservation and robustness. (C) 2015 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Winters, Andrew R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-293600
DOI:	10.1016/j.jcp.2015.09.055
Journal or Publication Title:	J. Comput. Phys.
Volume:	304
Page Range:	S. 72 - 109
Date:	2016
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1090-2716
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language NUMERICAL MAGNETOHYDRODYNAMICS; CONSERVATION-LAWS; SCHEMES; ALGORITHM; SYSTEMS; ASTROPHYSICS; VISCOSITY; TESTS; FLOW Multiple languages Computer Science, Interdisciplinary Applications; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/29360