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 τ-extrapolation technique. Finite volume Osher-type discretizations are applied throughout. Two interpolation schemes (one with and one without 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 multigrid 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.
This work was supported by the Netherlands Technology Foundation (STW).
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© 1989 Friedr Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Hemker, P.W., Koren, B. (1989). A Non-Linear Multigrid Method for the Steady Euler Equations. In: Dervieux, A., Leer, B.V., Periaux, J., Rizzi, A. (eds) Numerical Simulation of Compressible Euler Flows. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 26. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87875-5_11
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DOI: https://doi.org/10.1007/978-3-322-87875-5_11
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