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.
|Titel||Proceedings of the GAMM-Workshop on Numerical Simulation of Compressible Euler Flows, 10-13 June 1986, Rocquencourt, France|
|Redacteuren||A. Dervieux, B. Leer, van, J. Periaux, A. Rizzi|
|Plaats van productie||Braunschweig|
|Status||Gepubliceerd - 1989|
|Naam||Notes on Numerical Fluid Mechanics|
|ISSN van geprinte versie||0179-9614|
Hemker, P. W., & Koren, B. (1989). A non-linear multigrid method for the steady Euler equations. In A. Dervieux, B. Leer, van, J. Periaux, & A. Rizzi (editors), Proceedings of the GAMM-Workshop on Numerical Simulation of Compressible Euler Flows, 10-13 June 1986, Rocquencourt, France (blz. 175-196). (Notes on Numerical Fluid Mechanics; Vol. 26). Vieweg.