Universität zu Köln

Derigs, Dominik ORCID: 0000-0002-9687-2035, Winters, Andrew R., Gassner, Gregor J. and Walch, Stefanie (2016). A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure. J. Comput. Phys., 317. S. 223 - 257. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

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Abstract

We describe a high-order numerical magnetohydrodynamics (MHD) solver built upon a novel non-linear entropy stable numerical flux function that supports eight travelling wave solutions. By construction the solver conserves mass, momentum, and energy and is entropy stable. The method is designed to treat the divergence-free constraint on the magnetic field in a similar fashion to a hyperbolic divergence cleaning technique. The solver described herein is especially well-suited for flows involving strong discontinuities. Furthermore, we present a new formulation to guarantee positivity of the pressure. We present the underlying theory and implementation of the new solver into the multiphysics, multi-scale adaptive mesh refinement (AMR) simulation code FLASH (http://flash.uchicago.edu). The accuracy, robustness and computational efficiency is demonstrated with a number of tests, including comparisons to available MHD implementations in FLASH. (C) 2016 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Derigs, Dominik UNSPECIFIED orcid.org/0000-0002-9687-2035 UNSPECIFIED Winters, Andrew R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Walch, Stefanie UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-269909
DOI:	10.1016/j.jcp.2016.04.048
Journal or Publication Title:	J. Comput. Phys.
Volume:	317
Page Range:	S. 223 - 257
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 VARIATION DIMINISHING SCHEME; STAGGERED MESH SCHEME; IDEAL MAGNETOHYDRODYNAMICS; MULTIDIMENSIONAL MAGNETOHYDRODYNAMICS; NUMERICAL MAGNETOHYDRODYNAMICS; CONSTRAINED TRANSPORT; TIME DISCRETIZATIONS; INTERSTELLAR-MEDIUM; RIEMANN PROBLEM; GODUNOV METHOD Multiple languages Computer Science, Interdisciplinary Applications; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26990