@Article{CiCP-11-351, author = {J. Staudacher and É. Savin}, title = {Conservative Finite-Difference Scheme for High-Frequency Acoustic Waves Propagating at an Interface Between Two Media}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {351--366}, abstract = {
This paper is an introduction to a conservative, positive numerical scheme which takes into account the phenomena of reflection and transmission of high frequency acoustic waves at a straight interface between two homogeneous media. Explicit forms of the interpolation coefficients for reflected and transmitted wave vectors on a two-dimensional uniform grid are derived. The propagation model is a Liouville transport equation solved in phase space.