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Convection Treatment for RANS Turbulence Model Equations

Braun, Sebastian and Langer, Stefan and Leicht, Tobias (2021) Convection Treatment for RANS Turbulence Model Equations. In: 22nd STAB/DGLR Symposium on New Results in Numerical and Experimental Fluid Mechanics XIII, 151, pp. 646-655. Springer Nature. 22. STAB/DGLR Symposium 2020, 15.07.2020, Göttingen, Deutschland. doi: 10.1007/978-3-030-79561-0_61. ISBN 978-3-030-79560-3. ISSN 1612-2909.

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Official URL: https://link.springer.com/book/10.1007/978-3-030-79561-0#editorsandaffiliations


In the context of finite-volume methods it is generally accepted that at least second order discretization schemes should be considered for the mean flow equations due to their superior accuracy compared to first order schemes. For turbulence model equations, the situation is not so clear when the Boussinesq approximation is applied. Since the coupling of the turbulence model into the mean flow equations is rather weak (via the eddy viscosity and a rather small contribution to the turbulent kinetic energy to the total energy conservation), one can hope for a minor effect on solution accuracy. The goal of this article is to identify the relevant details required in a careful implementation of a first order treatment of the convective part of the turbulence model, such that the obtained results remain comparable to a fully second order discretization. Compelling arguments are given that a first order treatment of turbulence does not necessarily lead to a relevant loss of accuracy in the investigated cases, while yielding a significant gain in robustness.

Item URL in elib:https://elib.dlr.de/144287/
Document Type:Conference or Workshop Item (Other)
Additional Information:Hardcover ISBN 978-3-030-79560-3 Softcover ISBN 978-3-030-79563-4 eBook ISBN 978-3-030-79561-0 Series ISSN 1612-2909 Series E-ISSN 1860-0824
Title:Convection Treatment for RANS Turbulence Model Equations
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Braun, SebastianSebastian.Braun (at) dlr.deUNSPECIFIED
Langer, Stefanstefan.langer (at) dlr.deUNSPECIFIED
Leicht, TobiasTobias.Leicht (at) dlr.deUNSPECIFIED
Date:October 2021
Journal or Publication Title:22nd STAB/DGLR Symposium on New Results in Numerical and Experimental Fluid Mechanics XIII
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
DOI :10.1007/978-3-030-79561-0_61
Page Range:pp. 646-655
EditorsEmailEditor's ORCID iD
Dillmann, AndreasAndreas.Dillmann@dlr.deUNSPECIFIED
Heller, GerdAirbus BremenUNSPECIFIED
Krämer, EwaldInstitut für Aerodynamik und Gasdynamik, Universität StuttgartUNSPECIFIED
Wagner, ClausClaus.Wagner@DLR.deUNSPECIFIED
Publisher:Springer Nature
Series Name:Notes on Numerical Fluid Mechanics and Multidisciplinary Design
Keywords:RANS equations convection treatment of turbulence finite volume method
Event Title:22. STAB/DGLR Symposium 2020
Event Location:Göttingen, Deutschland
Event Type:national Conference
Event Dates:15.07.2020
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Efficient Vehicle
DLR - Research area:Aeronautics
DLR - Program:L EV - Efficient Vehicle
DLR - Research theme (Project):L - Virtual Aircraft and  Validation
Location: Braunschweig
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > CASE, BS
Deposited By: Langer, Dr.rer.nat. Stefan
Deposited On:29 Nov 2021 13:12
Last Modified:13 Dec 2021 12:02

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