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首页> 外文期刊>Journal of Scientific Computing >Numerical Study of the Nonlinear Combined Sine-Cosine-Gordon Equation with the Lattice Boltzmann Method
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Numerical Study of the Nonlinear Combined Sine-Cosine-Gordon Equation with the Lattice Boltzmann Method

机译：非线性组合正弦-余弦-哥顿方程的格子Boltzmann方法的数值研究

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摘要

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.
机译：本文建立了一个格子Boltzmann模型，通过适当选择平衡分布函数来求解正弦-余弦-戈登组合方程。通过Chapman-Enskog展开，可以从连续的Boltzmann方程正确地恢复控制演化方程。本模型验证了一些具有精确解决方案的问题。通过仿真，我们发现数值结果与精确解吻合得很好，或者比以前研究中报道的数值解更好。研究表明，该方法是非常有效和准确的。本模型可用于解决更多其他非线性波问题。

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