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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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