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