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Solution of the Euler Equations on Unstructured and Adaptive Meshes

Dimier, A. and Ronzheimer, A. (1990) Solution of the Euler Equations on Unstructured and Adaptive Meshes. DLR-Interner Bericht. 129-90/44, 40 S.

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Abstract

The present report deals with a numerical scheme for solving the two-dimensional Euler equations on unstructured grids, based on a finite-volume discretization. This kind of discretization was first proposed by Jameson, Schmidt and Turkel. Using central differencing, additionally to the convective fluxes artificial dissipative fluxes are required in the explicit numerical scheme to guarantee a stable solution procedure. The different evaluations of the dissipative operator on unstructured grids described in the literature are tested and discussed. For sub- and transonic flow cases a good agreement with results achieved by flow solvers on quadrilateral meshes is shown. Subsequently, the extension of the numerical method using adaptive unstructured meshes is presented. In the present method auxiliary points are generated during the solution process in order to get a mesh refinement in regions of the flowfield, where high gradients of the flow-variables occur. Some results for sub- and transonic flow-problems are treated and discussed.

Document Type:Monograph (DLR-Interner Bericht)
Additional Information: LIDO-Berichtsjahr=1990,
Title:Solution of the Euler Equations on Unstructured and Adaptive Meshes
Authors:
AuthorsInstitution or Email of Authors
Dimier, A.UNSPECIFIED
Ronzheimer, A.UNSPECIFIED
Date:1990
Number of Pages:40
Status:Published
Keywords:Euler Equations, Unstructured and Adaptive Meshes
HGF - Research field:UNSPECIFIED
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:UNSPECIFIED
DLR - Program:no assignment
DLR - Research theme (Project):L - Concepts & Integration
Location: Köln-Porz , Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Institut für Entwurfsaerodynamik
Deposited By: elib DLR-Beauftragter
Deposited On:03 Apr 2006
Last Modified:27 Apr 2009 10:04

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