Analytic evaluation of the accuracy of several conformable local absorbing boundary conditions

Abstract

A. Bayliss et al. (1982) (BT) have proposed an arbitrary order approximation based upon the Wilcox (1956) spherical wave function far-field expansion, for the case of a circular or spherical boundary with the source located at the center. In the present work, the BT-type representation is generalized to the case of an arbitrary convex boundary, with the curvature explicitly incorporated. Several possible implementations are compared.<>