论文标题
通过晶格Boltzmann方法的非自治孤立波的运动的数值模拟
Numerical simulation for the motions of nonautonomous solitary waves of a variable-coefficient forced Burgers equation via the lattice Boltzmann method
论文作者
论文摘要
通过正确选择平衡分布和补偿功能，研究了可变强制汉堡方程（VC-FBE）的晶格玻尔兹曼方法（LBM）。在我们的模型中，VC-FBE通过Chapman-Enskog分析正确恢复。我们从数值上研究由色散和外部力术语引起的孤子的动态特征。给出了四个数值示例，它们与理论解决方案很好地吻合。我们的研究证明，LBM是具有可变系数的非线性演化方程的令人满意，有效的方法。
The lattice Boltzmann method (LBM) for the variable-coefficient forced Burgers equation (vc-FBE) is studied by choosing the equilibrium distribution and compensatory functions properly. In our model, the vc-FBE is correctly recovered via the Chapman-Enskog analysis. We numerically investigate the dynamic characteristics of solitons caused by the dispersive and external-force terms. Four numerical examples are given, which align well with the theoretical solutions. Our research proves that LBM is a satisfactory and efficient method for nonlinear evolution equations with variable coefficients.
