General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation
| Autor: | Bo-Ling Guo, Wen-Qiang Hu, Zhong-Zhou Lan |
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| Rok vydání: | 2019 |
| Předmět: |
Variable coefficient
Physics Efficient algorithm Applied Mathematics Lattice boltzmann model 02 engineering and technology Plasma 01 natural sciences Burgers' equation 020303 mechanical engineering & transports 0203 mechanical engineering Modeling and Simulation Lattice (order) 0103 physical sciences Statistical physics Korteweg–de Vries equation 010301 acoustics Free parameter |
| Zdroj: | Applied Mathematical Modelling. 73:695-714 |
| ISSN: | 0307-904X |
| DOI: | 10.1016/j.apm.2019.04.013 |
| Popis: | In this paper, a general propagation lattice Boltzmann model for a variable-coefficient compound Korteweg-de Vries-Burgers (vc-cKdVB) equation is investigated through selecting equilibrium distribution function and adding a compensation function, which can provide some more realistic models than their constant-coefficient counterparts in fluids or plasmas. Chapman–Enskog analysis shows that the vc-gKdVB equation can be recovered correctly from the present model. Numerical simulations in different situations of this equation are conducted, including the propagation and interaction of the bell-type, kink-type and periodic-depression solitons and the evolution of the shock-wave solutions. It is found that the numerical results match well with the analytical solutions, which demonstrates that the current lattice Boltzmann model is a satisfactory and efficient algorithm. In addition, it is also shown the present model could be more stable and more accurate than the standard lattice Bhatnagar–Gross–Krook model through adjusting the two free parameters introduced into the propagation step. |
| Databáze: | OpenAIRE |
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