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Adjoint-based error estimation and adaptive mesh refinement for the RANS and k-ω turbulence model equations

Hartmann, Ralf and Held, Joachim and Leicht, Tobias (2011) Adjoint-based error estimation and adaptive mesh refinement for the RANS and k-ω turbulence model equations. Journal of Computational Physics, 230 (11), pp. 4268-4284. Elsevier. DOI: 10.1016/j.ast.2010.04.002 ISSN 0021-9991

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Abstract

In this article we present the extension of the a posteriori error estimation and goal-oriented mesh refinement approach from laminar to turbulent flows, which are governed by the Reynolds-averaged Navier-Stokes and k-ω turbulence model (RANS-kω) equations. In particular, we consider a discontinuous Galerkin discretization of the RANS-kω equations and use it within an adjoint-based error estimation and adaptive mesh refinement algorithm that targets the reduction of the discretization error in single as well as in multiple aerodynamic force coefficients. The accuracy of the error estimation and the performance of the goal-oriented mesh refinement algorithm is demonstrated for various test cases, including a two-dimensional turbulent flow around a three-element high lift configuration and a three-dimensional turbulent flow around a wing-body configuration.

Item URL in elib:https://elib.dlr.de/67469/
Document Type:Article
Title:Adjoint-based error estimation and adaptive mesh refinement for the RANS and k-ω turbulence model equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hartmann, RalfDLRUNSPECIFIED
Held, JoachimDLRUNSPECIFIED
Leicht, TobiasDLRUNSPECIFIED
Date:2011
Journal or Publication Title:Journal of Computational Physics
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:230
DOI :10.1016/j.ast.2010.04.002
Page Range:pp. 4268-4284
Publisher:Elsevier
ISSN:0021-9991
Status:Published
Keywords:Error estimation, goal-oriented mesh refinement, turbulent flows, discontinuous Galerkin method
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & Validation (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Hartmann, Dr.rer.nat. Ralf
Deposited On:14 Dec 2010 14:55
Last Modified:31 Jul 2019 19:30

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