A new lattice Boltzmann model for solving the coupled viscous Burgers’ equation

作者: Huilin Lai , Changfeng Ma

DOI: 10.1016/J.PHYSA.2013.10.030

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摘要: Abstract In this paper, a new lattice Boltzmann model for the coupled nonlinear system of viscous Burgers’ equation is proposed by using double evolutionary equations. Through selecting equilibrium distribution functions and amending properly, governing evolution can be recovered correctly according to our scheme, in which Chapman–Enskog expansion employed. The effects space time resolutions on accuracy stability are numerically investigated detail. numerical solutions various initial boundary conditions calculated validated against analytic or other reported previous studies. It found that results agree well with solutions, indicates potential present algorithm solving equation.

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