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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Hartmann, Ralf¹ 

[1] DLR, German Aerosp Ctr, Inst Aerodynam & Flow Technol, D-38108 Braunschweig, Germany

关键词: Discontinuous Galerkin discretization;    3d Compressible Navier-Stokes equations;    Error estimation;    Anisotropic mesh refinement;    Symmetry boundary condition;   

DOI  :  10.1016/j.jcp.2010.06.019

来源: Elsevier

【 摘 要 】

This article considers a posteriori error estimation and anisotropic mesh refinement for three-dimensional laminar 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 anisotropy indicators which are particularly suited to the discontinuous Galerkin (DG) discretization. Two different approaches based on either a heuristic criterion or an anisotropic extension of the adjoint-based error estimation are presented. The performance of the proposed discretization, error estimation and adaptive mesh refinement algorithms is demonstrated for 3d aerodynamic flows. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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