Invariant turbulence models

ORAL

Abstract

Various subgrid-scale closure models break the invariance of the Euler or Navier--Stokes equations and thus violate the geometric structure of these equations. A method is shown which allows one to systematically derive invariant turbulence models starting from non-invariant turbulence models and thus to correct artificial symmetry-breaking. The method is illustrated by finding invariant hyperdiffusion schemes to be applied in the two-dimensional turbulence problem.

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Authors

  • Alexander Bihlo

    Centre de recherches math\'ematiques, Universit\'e de Montr\'eal

  • Elsa Maria Dos Santos Cardoso-Bihlo

    Faculty of Mathematics, University of Vienna

  • Jean-Christophe Nave

    Department of Mathematics and Statistics, McGill University, McGill University

  • Roman Popovych

    Institute of Mathematics of NAS of Ukraine