Abstract:

We used the lattice Boltzmann method to study the wavelike equation with variable coefficients. We constructed a lattice Boltzmann model for the wavelike equation with variable coefficients. By using this model, the two and three dimensional wavelike equation with variable coefficients are simulated. By comparison between these results and analytic solutions, we find that this method can be used to simulate wavelike problems with variable coefficients.

Key words: lattice Boltzmann model, wavelike equation with variable coefficients, higherorder moments method