Numerical modelling of acoustic scattering by smooth inclusions in a layered fluid-solid medium

Abstract

A boundary integral equation (BIE) method as descnbed for computing the scattering of a monofrequent acoustic field by a smooth, rigid 30 object in a layered range-independent fluid-solid medium. The BIE is discretized using B-splines (BSP), point collocation and high-order numerical zntegmtzon. The drscretzzed equations are solved by an iterative method, enhanced by pre-conditioning with the LU factors of a related linear system for spline interpolation on the scatterer surface Numerical examples are given at frequencies of a few kHz, representative e.g. for a parametric transducer. The BSP method as shown to provide order-of-magnitude gains in computation times compared to a standard BEM technique with quadratic elements as frequency increases and/or accuracy requirements are tightened.