  The von Neumann stability analysis along with a Chapman-Enskog analysis is
proposed for a single-relaxation-time lattice Boltzmann Method (LBM) for wave
propagation in isotropic linear elastic solids, using a regular D2Q9 lattice.
Different boundary conditions are considered: periodic, free surface, rigid
interface. An original absorbing layer model is proposed to prevent spurious
wave reflection at domain boundaries. The present method is assessed
considering several test cases. First, a spatial Gaussian force modulated in
time by a Ricker wavelet is used as a source. Comparisons are made with results
obtained using a classical Fourier spectral method. Both P and S waves are
shown to be very accurately predicted. The case of Rayleigh surface waves is
then addressed to check the accuracy of the method.
