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MULTIGRID TECHNIQUE FOR THE COMPRESSIBLE EULER AND NAVIER‐STOKES EQUATIONS

A.E. KANARACHOS (Department of Mechanical Engineering, National Technical University of Athens, PO Box 64078, 15710 Athens, Greece)
I.P. VOURNAS (Department of Mechanical Engineering, National Technical University of Athens, PO Box 64078, 15710 Athens, Greece)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 February 1993

Abstract

An optimized multigrid method (NSFLEX‐MG) for the NSFLEX‐code (Navier‐Stokes solver using characteristic flux extrapolation) of MBB (Messerschmitt Bolkow Blohm GmbH) is described. The method is based on a correction scheme and implicit relaxation procedures and is applied to two‐dimensional test cases. The principal feature of the flow solver is a Godunov‐type averaging procedure based on the eigenvalues analysis of the Euler equations by means of which the inviscid fluxes are evaluated at the finite volume faces. Viscous fluxes are centrally differenced at each cell face. The performance of NSFLEX‐MG is demonstrated for a large range of Mach numbers for compressible inviscid and viscous (laminar and turbulent) flows over a RAE‐2822 airfoil and over a NACA‐0012 airfoil.

Keywords

Citation

KANARACHOS, A.E. and VOURNAS, I.P. (1993), "MULTIGRID TECHNIQUE FOR THE COMPRESSIBLE EULER AND NAVIER‐STOKES EQUATIONS", Engineering Computations, Vol. 10 No. 2, pp. 123-137. https://doi.org/10.1108/eb023898

Publisher

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MCB UP Ltd

Copyright © 1993, MCB UP Limited