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Title: A consistent approach to large eddy simulation using adaptive mesh refinement

Abstract

The large eddy simulation of turbulent flows is discussed with particular attention paid to the issue of commutation of differentiation and filtering. Multi-level adaptive mesh refinement is proposed as a means of mostly avoiding commutation errors where increased grid resolution is required to capture key flow features. The strategy is to employ multiple uniform grids in a nested hierarchy using a constant-width filter for each grid. It is shown that commutivity of fine and coarse grid filters must be enforced in order to consistently relate variables at different refinement levels. Methods for treating fine grid boundaries and walls are also discussed. It is shown that errors associated with boundary treatments are small and localized.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab., CA (US)
Sponsoring Org.:
USDOE
OSTI Identifier:
20000629
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 154; Journal Issue: 1; Other Information: PBD: 1 Sep 1999; Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 99 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; TURBULENT FLOW; MESH GENERATION; NUMERICAL SOLUTION; NAVIER-STOKES EQUATIONS

Citation Formats

Cook, A.W. A consistent approach to large eddy simulation using adaptive mesh refinement. United States: N. p., 1999. Web. doi:10.1006/jcph.1999.6304.
Cook, A.W. A consistent approach to large eddy simulation using adaptive mesh refinement. United States. doi:10.1006/jcph.1999.6304.
Cook, A.W. Wed . "A consistent approach to large eddy simulation using adaptive mesh refinement". United States. doi:10.1006/jcph.1999.6304.
@article{osti_20000629,
title = {A consistent approach to large eddy simulation using adaptive mesh refinement},
author = {Cook, A.W.},
abstractNote = {The large eddy simulation of turbulent flows is discussed with particular attention paid to the issue of commutation of differentiation and filtering. Multi-level adaptive mesh refinement is proposed as a means of mostly avoiding commutation errors where increased grid resolution is required to capture key flow features. The strategy is to employ multiple uniform grids in a nested hierarchy using a constant-width filter for each grid. It is shown that commutivity of fine and coarse grid filters must be enforced in order to consistently relate variables at different refinement levels. Methods for treating fine grid boundaries and walls are also discussed. It is shown that errors associated with boundary treatments are small and localized.},
doi = {10.1006/jcph.1999.6304},
journal = {Journal of Computational Physics},
issn = {0021-9991},
number = 1,
volume = 154,
place = {United States},
year = {1999},
month = {9}
}