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A Lattice Boltzmann Model and Simulation of KdV-BurgersEquation |
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| Authors: | ZHANG Chao-Ying TAN Hui-Li LIU Mu-Ren KONG Ling-Jiang |
| Affiliation: | College of Physics and Information Technology, Guangxi NormalUniversity, Guilin 541004, China |
| Abstract: | A lattice Boltzmann model ofKdV-Burgers equation is derived by using the single-relaxationform of the lattice Boltzmann equation. With the present model, we simulate the traveling-wave solutions, the solitary-wavesolutions, and the sock-wave solutions of KdV-Burgers equation, and calculate the decay factor and the wavelength of the sock-wavesolution, which has exponential decay. The numerical resultsagree with the analytical solutions quite well. |
| Keywords: | KdV-Burgers equation lattice Boltzmannmodel traveling-wave solution solitary-wave solution sock-wavesolution |
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