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Spectro-Consistent Discretization of Navier-Stokes: a Challenge to RANS and LES

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Abstract

In this paper, we discuss the results of a fourth-order, spectro-consistent discretization of the incompressible Navier-Stokes equations. In such an approach the discretization of a (skew-)symmetric operator is given by a (skew-)symmetric matrix. Numerical experiments with spectro-consistent discretizations and traditional methods are presented for a one-dimensional convection-diffusion equation. LES and RANS are challenged by giving a number of examples for which a fourth-order, spectro-consistent discretization of the Navier-Stokes equations without any turbulence model yields better (or at least equally good) results as large-eddy simulations or RANS computations, whereas the grids are comparable. The examples are taken from a number of recent workshops on complex turbulent flows.

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Authors and Affiliations

  1. Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    R. W. C. P. Verstappen & A. E. P. Veldman

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  1. R. W. C. P. Verstappen
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  2. A. E. P. Veldman
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Verstappen, R.W.C.P., Veldman, A.E.P. Spectro-Consistent Discretization of Navier-Stokes: a Challenge to RANS and LES. Journal of Engineering Mathematics 34, 163–179 (1998). https://doi.org/10.1023/A:1004316430201

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  • DOI: https://doi.org/10.1023/A:1004316430201

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