A LATTICE BOLTZMANN EQUATION METHOD FOR THE SHALLOW WATER WAVE EQUATIONS

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.