Using interpolation to insert small-scale inhomogeneities in the acoustic finite-difference scheme

Abstract

We propose a way to include small-scale inhomogeneities and sharp boundaries in high-order acoustic finite di erence schemes. The method is based on representing the inhomogeneities as secondary sources defined on dense auxiliary grids. Interaction of the secondary sources with the finite di erence scheme is performed by interpolation. We observe good agreement of the method’s results with precise solutions for simple models in 2D.