Horizontal large eddy simulation of stratified mixing in a lock-exchange system

Luigi C. Berselli, Paul F. Fischer, Traian Iliescu, Tamay M. Özgökmen

Research output: Contribution to journalArticle

Abstract

This paper presents analytical and numerical results for two new anisotropic modifications of the Rational and Clark-α LES models. The main difference from their standard form is that in this study horizontal (as opposed to isotropic) spatial filtering is used, which is appropriate for turbulent mixing in stratified flows. We present several mathematical results regarding the horizontal Rational and Clark-α LES models. We also present numerical experiments that support the analytical developments and show that both horizontal LES models perform better than their standard, isotropic counterparts in approximating mixing in a 3D lock-exchange problem at Reynolds number Re=10,000.

Original languageEnglish (US)
Pages (from-to)3-20
Number of pages18
JournalJournal of Scientific Computing
Volume49
Issue number1
DOIs
StatePublished - Oct 1 2011
Externally publishedYes

Keywords

  • Boussinesq equations
  • Horizontal filtering
  • LES in domains with boundary
  • Rational/Clark-α LES model
  • Stratified flows

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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