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L²Roe: A low-dissipation version of Roe's approximate Riemann solver for low Mach numbers

Oßwald, Kai and Siegmund, Alexander and Birken, Philipp and Hannemann, Volker and Meister, Andreas (2015) L²Roe: A low-dissipation version of Roe's approximate Riemann solver for low Mach numbers. International Journal for Numerical Methods in Fluids, 81 (2), pp. 71-86. Wiley. doi: 10.1002/fld.4175. ISSN 0271-2091.

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Official URL: https://doi.org/10.1002/fld.4175


A modification of the Roe scheme aimed at low Mach number flows is discussed. It improves the dissipation of kinetic energy at the highest resolved wave numbers in a low Mach number test case of decaying isotropic turbulence. This is done by scaling the jumps in all discrete velocity components within the numerical flux function. An asymptotic analysis is used to show the correct pressure scaling at low Mach numbers and to identify the reduced numerical dissipation in that regime, both of the new method $L^2$Roe, as well as a method previously suggested by other authors. Furthermore, the analysis allows comparisons of these methods with a further low Mach scheme, LMRoe. No conflict is observed between the reduced dissipation and the accuracy or stability of the scheme in any of the investigated test cases ranging from low Mach number potential to hypersonic viscous flow. Furthermore, a comparison with the two other methods shows advantages of the new approach.

Item URL in elib:https://elib.dlr.de/92217/
Document Type:Article
Additional Information:Published online: 24. Sept. 2015 wileyonlinelibrary.com
Title:L²Roe: A low-dissipation version of Roe's approximate Riemann solver for low Mach numbers
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Oßwald, Kaikai.osswald (at) dlr.deUNSPECIFIED
Siegmund, AlexanderUniversität KassselUNSPECIFIED
Birken, PhilippBirken (at) mathematik.uni-kassel.deUNSPECIFIED
Hannemann, VolkerVolker.Hannemann (at) dlr.deUNSPECIFIED
Meister, AndreasUniversität KassselUNSPECIFIED
Date:24 September 2015
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1002/fld.4175
Page Range:pp. 71-86
EditorsEmailEditor's ORCID iD
Keywords:Riemann Solvers, Finite Volume Methods, Low Mach, Asymptotic Analysis, Numerical Dissipation
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Transportation
DLR - Research area:Raumfahrt
DLR - Program:R RP - Space Transportation
DLR - Research theme (Project):R - Raumfahrzeugsysteme - Numerische Verfahren und Simulation (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Spacecraft
Deposited By: Micknaus, Ilka
Deposited On:29 Oct 2015 09:36
Last Modified:05 Nov 2020 18:22

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