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
Full text not available from this repository.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: |
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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: |
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/24110 |
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