Acoustic scattering from rigid bodies of arbitrary shape—Double layer formulation

Abstract

In this work, a numerical method is presented, based on the well-known method of moments (MoM), to calculate the acoustic fields scattered by a three-dimensional, arbitrarily shaped, acoustically rigid body subjected to a plane wave incidence. The mathematical formulation is based on the potential theory and, in this work, the numerical method is applicable to the so-called double layer formulation (DLF). The scattering body is approximated by planar triangular patches. For the MoM solution using triangular patch modeling, edge-based basis functions are utilized to approximate the source distribution efficiently. These basis functions along with an appropriate testing procedure generates a simple numerical algorithm that is versatile enough to be applicable to closed, as well as open bodies. Finally, the present solution method is validated with several representative examples.