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Solution filtering technique for solving Burgers' equation

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  • 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.
    Mathematics Subject Classification: Primary: 65M06, 76D05, 76F65.

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