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 language | English (US) |
---|---|
Pages (from-to) | 3-20 |
Number of pages | 18 |
Journal | Journal of Scientific Computing |
Volume | 49 |
Issue number | 1 |
DOIs | |
State | Published - Oct 1 2011 |
Externally published | Yes |
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