期刊
APPLIED MATHEMATICAL MODELLING
卷 73, 期 -, 页码 695-714出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.04.013
关键词
General propagation lattice Boltzmann model; Variable-coefficient compound KdV-Burgers equation; Numerical simulations; Soliton solutions
资金
- Science Research Project of Higher Education in Inner Mongolia Autonomous Region [NJZZ18117]
- Natural Science Foundation of Inner Mongolia Autonomous Region [2018BS01004]
- Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region [NJYT-19-1321]
- China Postdoctoral Science Foundation [2018M640094]
- National Natural Science Foundation of China [11772017]
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. (C) 2019 Elsevier Inc. All rights reserved.
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