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

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

doi:10.1007/s10915-011-9464-8

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 journal › Article › peer-review

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	https://doi.org/10.1007/s10915-011-9464-8
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

Online availability

10.1007/s10915-011-9464-8

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title = "Horizontal large eddy simulation of stratified mixing in a lock-exchange system",

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.",

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AU - Berselli, Luigi C.

AU - Fischer, Paul F.

AU - Iliescu, Traian

AU - Özgökmen, Tamay M.

PY - 2011/10/1

Y1 - 2011/10/1

N2 - 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.

AB - 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.

KW - Boussinesq equations

KW - Horizontal filtering

KW - LES in domains with boundary

KW - Rational/Clark-α LES model

KW - Stratified flows

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

Abstract

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