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A SYMMETRY-PRESERVING DISCRETIZATION AND REGULARIZATION MODEL FOR COMPRESSIBLE FLOW

W. Rozema
Aerospace Vehicles, Flight Physics & Loads National Aerospace Laboratory of the Netherlands (NLR) Anthony Fokkerweg 2, 1059 CM, Amsterdam, The Netherlands

J.C. Kok
Aerospace Vehicles, Flight Physics & Loads National Aerospace Laboratory of the Netherlands (NLR) Anthony Fokkerweg 2, 1059 CM, Amsterdam, The Netherlands

R.W.C.P. Verstappen
Institute of Mathematics and Computing Science, University of Groningen P.O. Box 407, 9700 AK Groningen, The Netherlands

A.E.P. Veldman
Johann Bernoulli Institute for Mathematics and Computer Science University of Groningen P.O. Box 407, 9700 AK, Groningen, The Netherlands

Résumé

Symmetry-preserving discretization and symmetry-preserving regularization are promising simulation strategies for incompressible flow. In this paper, it is shown that the symmetry-preserving discretization and regularization can be generalized to compressible flow straightforwardly, if the compressible Navier-Stokes equations are rewritten to a new form. The proposed symmetry-preserving methods for compressible flow are validated in a simulation of channel flow. The symmetry-preserving discretization for compressible flow is stable without artificial dissipation and produces accurate results on sufficiently fine grids, which makes the discretization very suitable for direct numerical simulation of compressible flow.