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Numerical Simulations of Homogeneous Turbulence using Lagrangian-Averaged Navier-Stokes Equations

Mohseni, Kamran and Shkoller, Steve and Kosović, Branko and Marsden, Jerrold E. and Carati, Daniele and Wray, Alan and Rogallo, Robert (2000) Numerical Simulations of Homogeneous Turbulence using Lagrangian-Averaged Navier-Stokes Equations. In: Studying turbulence using numerical simulation databases, VIII : Proceedings of the 2000 Summer Program. Center for Turbulence Research , Stanford, CA, pp. 271-283. http://resolver.caltech.edu/CaltechAUTHORS:20101007-091554271

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Abstract

The Lagrangian-averaged Navier-Stokes equations (LANS) are numerically evaluated as a turbulence closure. They are derived from a novel Lagrangian averaging procedure on the space of all volume-preserving maps and can be viewed as a numerical algorithm which removes the energy content from the small scales (smaller than some a priori fixed spatial scale α) using a dispersive rather than dissipative mechanism, thus maintaining the crucial features of the large scale flow. We examine the modeling capabilities of the LANS equations for decaying homogeneous turbulence, ascertain their ability to track the energy spectrum of fully resolved direct numerical simulations (DNS), compare the relative energy decay rates, and compare LANS with well-accepted LES models.


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Record Number:CaltechAUTHORS:20101007-091554271
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101007-091554271
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20330
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Nov 2010 23:53
Last Modified:26 Dec 2012 12:30

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