University of Illinois Urbana-Champaign

On physical space equation for large-eddy simulation of inhomogeneous turbulence

Adrian, Ronald J.

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https://hdl.handle.net/2142/112623

Description

Title
On physical space equation for large-eddy simulation of inhomogeneous turbulence
Author(s)
Adrian, Ronald J.
Issue Date
1999-07
Keyword(s)
  • Large-eddy Simulation
  • Inhomogeneous Turbulence
Abstract
The starting point for large-eddy simulation is an equation governing the evolution of the spatially filtered velocity field. In current practice, this equation is derived by low-pass filtering the Navier-Stokes equations and interchanging filtering and differentiation operations to get a partial differential equation for the filtered velocity. This procedure leaves the filtering operation unspecified. and it is not valid unless the filter is shift-invariant, with the consequence that it is not well suited to the description of inhomogeneous turbulence. Using the concept of mean-square optimal algorithms, a new governing equation is derived for the evolution in physical space of large eddies defined by an explicit and inhomogeneous filtering operation.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 915
  • 1999-6017
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112623
Copyright and License Information
Copyright 1999 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.