Paper Info
Title
Numerical Study of the Nonlinear Combined Sine-Cosine-Gordon Equation with the Lattice Boltzmann Method
Abstract
In this paper, a lattice Boltzmann model is developed for solving the combined sine-cosine-Gordon equation through selecting equilibrium distribution function properly. With the Chapman-Enskog expansion, the governing evolution equation is recovered correctly from the continuous Boltzmann equation. Some problems, which have exact solutions, are validated by the present model. From the simulations, we find that the numerical results agree well with the exact solutions or better than the numerical solutions reported in previous studies. The study indicates that the present method is very effective and accurate. The present model can be used to solve more other nonlinear wave problems.
Year
DOI
Venue
2012
10.1007/s10915-012-9587-6
J. Sci. Comput.
Keywords
Field
DocType
Lattice Boltzmann method,Sine-cosine-Gordon equation,Nonlinear partial differential equation,Chapman-Enskog expansion
HPP model,Differential equation,Convection–diffusion equation,Mathematical optimization,Boltzmann equation,Mathematical analysis,Lattice Boltzmann methods,Partial differential equation,Bhatnagar–Gross–Krook operator,Mathematics,Direct simulation Monte Carlo
Journal
Volume
Issue
ISSN
53
3
0885-7474
Citations 
PageRank 
References 
1
0.35
7
Authors
2
Name
Order
Citations
PageRank
Huilin Lai110.35
Changfeng Ma219729.63