Schmidtmann, Birte and Winters, Andrew R. (2017). Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws. J. Comput. Phys., 330. S. 566 - 571. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2716

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Abstract

It is known that HLL-type schemes are more dissipative than schemes based on characteristic decompositions. However, HLL-type methods offer greater flexibility to large systems of hyperbolic conservation laws because the eigenstructure of the flux Jacobian is not needed. We demonstrate in the present work that several HLL-type Riemann solvers are provably entropy stable. Further, we provide convex combinations of standard dissipation terms to create hybrid HLL-type methods that have less dissipation while retaining entropy stability. The decrease in dissipation is demonstrated for the ideal MHD equations with a numerical example. (C) 2016 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Schmidtmann, BirteUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Winters, Andrew R.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-241103
DOI: 10.1016/j.jcp.2016.10.034
Journal or Publication Title: J. Comput. Phys.
Volume: 330
Page Range: S. 566 - 571
Date: 2017
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:
KeywordsLanguage
SYSTEMS; SCHEMESMultiple languages
Computer Science, Interdisciplinary Applications; Physics, MathematicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/24110

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