WIAS Preprint No. 2698, (2020)

An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows



Authors

  • Ahmed, Naveed
    ORCID: 0000-0002-9322-0373
  • John, Volker
    ORCID: 0000-0002-2711-4409

2010 Mathematics Subject Classification

  • 76F65

Keywords

  • incompressible turbulent flows, residual-based VMS method, SUPG method, projection-based VMS method, turbulent channel flows, LSC preconditioner

DOI

10.20347/WIAS.PREPRINT.2698

Abstract

A numerical assessment of two classes of variational multiscale (VMS) methods for the simulation of incompressible flows is presented. Two types of residual-based VMS methods and two types of projection-based VMS methods are included in this assessment. The numerical simulations are performed at turbulent channel flow problems with various friction Reynolds numbers. It turns out the the residual-based VMS methods, in particular when used with a pair of inf-sup stable finite elements, give usually the most accurate results for second order statistics. For this pair of finite element spaces, a flexible GMRES method with a Least Squares Commutator (LSC) preconditioner proved to be an efficient solver.

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