On an inconsistency of the arithmetic-average signal speed estimate for HLL-type Riemann solvers

Title:: On an inconsistency of the arithmetic-average signal speed estimate for HLL-type Riemann solvers
Document type:: Zeitschriftenaufsatz
Author(s):: Fleischmann, Nico; Adami, Stefan; Adams, Nikolaus A.
Abstract:: In this short note, we highlight the sensitivity of the HLL-type Riemann solver with respect to the choice of signal speed estimates and demonstrate a major deficiency of the arithmetic-average estimate. The investigation of two essential Riemann problems and a classical bow shock simulation reveals that inherent inconsistencies of the arithmetic-average estimate may lead to unexpected behavior and erroneous results.
Keywords:: Approximate Riemann solver; HLL; HLLC; Signal speed estimates; Low-dissipation scheme
Dewey Decimal Classification:: 620 Ingenieurwissenschaften
Horizon 2020:: grant agreement No. 667483
Journal title:: Journal of Computational Physics: X
Year:: 2020
Journal volume:: 8
Pages contribution:: 100077
Covered by:: Scopus
Language:: en
Fulltext / DOI:: doi:10.1016/j.jcpx.2020.100077
WWW:: https://www.sciencedirect.com/science/article/pii/S2590055220300299
Publisher:: Elsevier BV
E-ISSN:: 2590-0552
Notes:: Research data for this paper: https://mediatum.ub.tum.de/1578329
Submitted:: 21.04.2020
Accepted:: 25.09.2020
Date of publication:: 01.09.2020
TUM Institution:: Lehrstuhl für Aerodynamik und Strömungsmechanik
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