# American Institute of Mathematical Sciences

2003, 2003(Special): 951-959. doi: 10.3934/proc.2003.2003.951

## Solution filtering technique for solving Burgers' equation

 1 Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506-0503, United States, United States

Received  September 2002 Revised  March 2003 Published  April 2003

In this paper we focus on using a solution filtering technique as an alternative to the conventional large-eddy simulation approach of filtering the governing equations. Our research shows that the solution filtering technique works quite well when applied to Burgers' equation, and since this equation embodies many important mathematical features of the Navier-Stokes equations, the solution filtering technique possesses significant potential for solving practical turbulence problems governed by these equations.
Citation: Tianliang Yang, J. M. McDonough. Solution filtering technique for solving Burgers' equation. Conference Publications, 2003, 2003 (Special) : 951-959. doi: 10.3934/proc.2003.2003.951
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