用格子Boltzmann方程模拟浅水波问题

A LATTICE BOLTZMANN EQUATION METHOD FOR THE SHALLOW WATER WAVE EQUATIONS

摘要: 提出了用格子Ｂｏｌｔｚｍａｎｎ方程（ＬＢＥ）模拟浅水波问题的方法．通过无粘气体运动方程与浅水波方程的比较，确定了ＬＢＥ方法中平衡态的形式，使宏观方程与浅水波方程一致．计算了二维浅水波的一个问题，数值结果与精确解做了比较．

Abstract: We proposed a lattice Boltzmann equation (LBE) method to simulate the shallow water wave equations. If the viscosity of the gas is negligible, the gas macrodynamical equations are compared with the shallow water equation, and the equilibrium distribution function can be given. Numerical results are compared with the exact solution given by W.C.Thacker.