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Document type:
Zeitschriftenaufsatz 
Author(s):
Fleischmann, Nico; Adami, Stefan; Adams, Nikolaus A. 
Title:
On an inconsistency of the arithmetic-average signal speed estimate for HLL-type Riemann solvers 
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:
Pages contribution:
100077 
Covered by:
Scopus 
Language:
en 
Publisher:
Elsevier BV 
E-ISSN:
2590-0552 
Notes:
Research data for this paper: https://mediatum.ub.tum.de/1578329 
Accepted:
25.09.2020 
Date of publication:
01.09.2020 
TUM Institution:
Lehrstuhl für Aerodynamik und Strömungsmechanik