A non-linear multigrid method for the steady Euler equations

P.W. Hemker, B. Koren

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Abstract

Higher-order accurate Euler-flow solutions are presented for some airfoil test cases. Second-order accurate solutions are computed by an Iterative Defect Correction process. For two test cases even higher accuracy is obtained by the additional use of a ~xtrapolation technique. Finite volume Osher-type discretizations are applied throughout. Two interpolation schemes (one with and one w~hout a flux limiter) are used for the computation of the second-order defect. In each Defect Correction cycle, the solution is computed by non-linear mu~igrid iteration, in which Collective Symmetric Gauss-Seidel relaxation is used as the smoothing procedure. The computational method does not require tuning of parameters. The solutions show a good resolution of discontinuities, and they are obtained at low computational costs. The rate of convergence seems to be grid-independent.
Original languageEnglish
Title of host publicationProceedings of the GAMM-Workshop on Numerical Simulation of Compressible Euler Flows, 10-13 June 1986, Rocquencourt, France
EditorsA. Dervieux, B. Leer, van, J. Periaux, A. Rizzi
Place of PublicationBraunschweig
PublisherVieweg
Pages175-196
Publication statusPublished - 1989

Publication series

NameNotes on Numerical Fluid Mechanics
Volume26
ISSN (Print)0179-9614

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