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Accuracy in a Finite Volume Godunov Type Method

Bauer, Maria and Birken, Philipp and Hannemann, Volker and Oßwald, Kai (2011) Accuracy in a Finite Volume Godunov Type Method. 17. DGLR-Fach-Symposium der STAB, 09. - 10. Nov. 2010, Berlin, Deutschland.

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Official URL: http://www.dlr.de/as/desktopdefault.aspx/tabid-652/1104_read-1678/

Abstract

The standard Godunov type method used in computational fluid dynamics shows accuracy problems for low Mach number flows and for the kinetic energy at the highest wave numbers resolvable on a given grid. Both drawbacks become visible when simulating the decay of isotropic turbulence at the low Mach numbers typical for the respective experimental investigations. A modification to cure both problems is proposed by Thornber et al. [10] with a mathematical motivation in case of a special fifth order reconstruction. The theoretical results are repeated here. Numerical results are achieved for schemes not investigated in that literature, namely AUSMDV and AUSM+-up which includes already modifications for low Mach number flows. First experiences with Thornber’s modification confirm the positive influence in combination with AUSMDV even if the reconstruction is only of second order. In combination with AUSM+-up Thornber’s modification provides too little damping.

Document Type:Conference or Workshop Item (Speech, Paper)
Title:Accuracy in a Finite Volume Godunov Type Method
Authors:
AuthorsInstitution or Email of Authors
Bauer, Mariamarbauer@mathematik.uni-kassel.de
Birken, PhilippBirken@mathematik.uni-kassel.de
Hannemann, VolkerVolker.Hannemann@dlr.de
Oßwald, KaiUNSPECIFIED
Date:2011
Refereed publication:No
In SCOPUS:No
In ISI Web of Science:No
Volume:STAB Mitteilung
Page Range:pp. 180-181
Series Name:STAB Jahresbericht
Status:Published
Keywords:Low Mach number Riemann solver Numerical dissipation Decaying turbulence
Event Title:17. DGLR-Fach-Symposium der STAB
Event Location:Berlin, Deutschland
Event Type:national Conference
Event Dates:09. - 10. Nov. 2010
Organizer:DGLR, STAB
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W RP - Raumtransport
DLR - Research area:Space
DLR - Program:W RP - Raumtransport
DLR - Research theme (Project):W - Grundlagen Raumtransport - numerische Verfahren (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Spacecraft
Deposited By: Dr.rer.nat. Volker Hannemann
Deposited On:09 Feb 2011 13:39
Last Modified:27 Sep 2011 09:43

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