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Solution of the Euler equations on unstructured grids for two-dimensional compressible flow

Published online by Cambridge University Press:  04 July 2016

L. Stolcis  and
L. J. Johnston
L. Stolcis
Affiliation:
Aeronautics/Aerospace Departmentvon Karman Institute for Fluid DynamicsRhode-St-Genese, Belgium
L. J. Johnston
Affiliation:
Aeronautics/Aerospace Departmentvon Karman Institute for Fluid DynamicsRhode-St-Genese, Belgium
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Abstract

A method for the numerical solution of the two-dimensional Euler equations on unstructured grids has been developed. The cell-centred symmetric finite-volume spatial discretisation is applied in a general formulation that allows the use of arbitrary polygonal computational cells. The integration in time, to a steady-state solution, is performed using an explicit, multi-stage procedure, with standard convergence acceleration techniques such as local time stepping, enthalpy damping and implicit residual smoothing. Accuracy of solution, in terms of minimising spurious entropy production, is achieved through careful treatment of the artificial dissipative terms near boundaries. Standard test cases for both subcritical and supercritical flows, including single- and multi-element aerofoils have been used to validate the method.

Type
Research Article
Information
The Aeronautical Journal , Volume 94 , Issue 936 , July 1990 , pp. 181 - 195
Copyright
Copyright © Royal Aeronautical Society 1990 

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Footnotes

*

Present address: Department of Mechanical Engineering, UMIST, PO Box 88, Manchester M60 1QD

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