A lattice Boltzmann equation for waves

We propose a lattice Boltzmann model for the wave equation. Using a lattice Boltzmann equation and the Chapman-Enskog expansion, we get 1D and 2D wave equations with truncation error of order two. The numerical tests show the method can be used to simulate the wave motions

Simple lattice Boltzmann model for simulating flows with shock wave

We propose a lattice Boltzmann model for compressible Euler equations. The numerical examples show that the model can be used to simulate shock wave and contact discontinuity. The results are compared with those obtained by traditional methods