Article ID Journal Published Year Pages File Type
974692 Physica A: Statistical Mechanics and its Applications 2009 8 Pages PDF
Abstract

In this paper, a lattice Boltzmann model with an amending function is proposed for the generalized Kuramoto–Sivashinsky equation that has the form ut+uux+αuxx+βuxxx+γuxxxx=0ut+uux+αuxx+βuxxx+γuxxxx=0. With the Chapman–Enskog expansion, the governing evolution equation is recovered correctly from the continuous Boltzmann equation. It is found that the numerical results agree well with the analytical solutions.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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