Error Estimation and Anisotropic Mesh Refinement for Aerodynamic Flow Simulations

Tobias Leicht () and Ralf Hartmann ()
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Tobias Leicht: Institute of Aerodynamics and Flow Technology, Center for Computer Applications in Aerospace Science and Engineering, DLR (German Aerospace Center)
Ralf Hartmann: Institute of Aerodynamics and Flow Technology, Center for Computer Applications in Aerospace Science and Engineering, DLR (German Aerospace Center)

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 579-587 from Springer

Abstract: Abstract Aerodynamic flow fields are dominated by anisotropic features at both boundary layers and shocks. Solution-adaptive local mesh refinement can be improved considerably by respecting those anisotropic features. Two types of anisotropy indicators are presented. Whereas the first one is based on polynomial approximation properties and needs the evaluation of second and higher order derivatives of the solution the second one exploits the inter-element jumps arising in discontinuous Galerkin methods and can easily be used with higher order discretizations and even hp-refinement. Examples for sub-, trans- and supersonic flows combining these anisotropic indicators with reliable residual or adjoint based error estimation techniques demonstrate the potential and limitations of this approach.

Keywords: Discontinuous Galerkin; Discontinuous Galerkin Method; Posteriori Error Estimation; Adjoint Problem; Delta Wing (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_62

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DOI: 10.1007/978-3-642-11795-4_62

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