Lattice Boltzmann method for the generalized Kuramoto-Sivashinsky equation |
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| Authors: | Huilin Lai |
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| Affiliation: | a School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China
b School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China |
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| 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=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. |
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| Keywords: | Lattice Boltzmann method Generalized Kuramoto-Sivashinsky equation KdV-Burgers-Kuramoto equation Chapman-Enskog expansion |
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