A further study of numerical errors in large-eddy simulations

  • Authors:

  • Fotini Katopodes Chow;Parviz Moin

  • Affiliations:

  • Environmental Fluid Mechanics Laboratory, Department of Civil and Environmental Engineering, Stanford University, Stanford, CA;Department of Mechanical Engineering, Stanford University, Stanford, CA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2003

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Abstract

Numerical errors in large-eddy simulations (LES) arise from aliasing and discretization errors, and errors in the subfilter-scale (SFS) turbulence model. Using a direct numerical simulation (DNS) dataset of stably stratified shear flow to perform a priori tests, we compare the numerical error from several finite difference schemes to the magnitude of the SFS force. This is an extension of Ghosal's analysis [J. Comput. Phys. 125 (1996) 187] to realistic flow fields. By evaluating different grid resolutions as well as different filter-grid ratios, we provide guidelines for LES: for a second-order finite difference scheme, a filter-grid ratio of at least four is desired; for a sixth-order Padé scheme, a filter-grid ratio of two is sufficient.