Local absorbing boundaries of elliptical shape for scalar wave propagation in a half-plane
We have recently discussed the performance of local second-order two-dimensional absorbing boundary conditions of elliptical shape for scattering and radiation problems involving sound-hard obstacles embedded in a full-plane. In this article, using the method of images, we extend the applicability of elliptically shaped truncation boundaries to semi-infinite acoustic media. For problems in either the time- or the frequency-domains, involving near-surface structures of elongated cross-sections, we show that significant computational savings are attainable when compared against semi-circular truncation geometries.
elliptical shape absorbing boundary conditions half-space or half-plane scalar wave equation time-domain frequency-domain