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Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws
MathCCES, RWTH Aachen University, Aachen, Germany.
Mathematisches Institut, Universität zu Köln, Köln, Germany.ORCID iD: 0000-0002-5902-1522
2017 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 330, p. 566-570Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 330, p. 566-570
Keywords [en]
entropy stability, ideal magnetohydrodynamics, HLL, Riemann solver, discrete entropy inequality
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-156859DOI: 10.1016/j.jcp.2016.10.034ISI: 000394408900029Scopus ID: 2-s2.0-85028253265OAI: oai:DiVA.org:liu-156859DiVA, id: diva2:1315786
Available from: 2019-05-14 Created: 2019-05-14 Last updated: 2019-05-24Bibliographically approved

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