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Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations

Leicht, Tobias and Hartmann, Ralf (2010) Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations. Journal of Computational Physics, 229 (19), pp. 7344-7360. Elsevier. DOI: 10.1016/j.jcp.2010.06.019 ISSN 0021-9991

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Official URL: http://dx.doi.org/10.1016/j.jcp.2010.06.019

Abstract

This article considers a posteriori error estimation and anisotropic mesh refinement for three-dimensional aerodynamic flow simulations. The optimal order symmetric interior penalty discontinuous Galerkin discretization which has previously been developed for the compressible Navier-Stokes equations in two dimensions is extended to three dimensions. Symmetry boundary conditions are given which allow to discretize and compute symmetric flows on the half model resulting in exactly the same flow solutions as if computed on the full model. Using duality arguments, an error estimation is derived for estimating the discretization error with respect to the aerodynamic force coefficients. Furthermore, residual-based indicators as well as adjoint-based indicators for goal-oriented refinement are derived. These refinement indicators are combined with anisotropic indicators which are particularly suited to the discontinuous Galerkin (DG) discretization. The performance of the proposed discretization, error estimation and adaptive mesh refinement algorithms is demonstrated for 3d aerodynamic flows.

Item URL in elib:https://elib.dlr.de/67471/
Document Type:Article
Title:Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Leicht, TobiasDLRUNSPECIFIED
Hartmann, RalfDLRUNSPECIFIED
Date:2010
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:229
DOI :10.1016/j.jcp.2010.06.019
Page Range:pp. 7344-7360
Publisher:Elsevier
ISSN:0021-9991
Status:Published
Keywords:Discontinuous Galerkin discretization, 3d compressible Navier-Stokes equations, error estimation, anisotropic mesh refinement, symmetry boundary condition
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 - Concepts & Integration (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 14:54
Last Modified:31 Jul 2019 19:30

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