Efficient boundary integral solution for acoustic wave scattering by irregular surfaces

TL;DR

This paper introduces an efficient boundary integral method using operator splitting to compute acoustic scattering from irregular surfaces, reducing computational cost and enabling solutions for large-scale problems.

Contribution

The paper presents a novel operator splitting approach that simplifies and accelerates the calculation of acoustic scattering by irregular surfaces, applicable to various scatterers.

Findings

Method achieves accurate results with one or two terms in the series.

Computational efficiency is significantly improved in time and memory.

Applicable to large-scale problems and other scatterer types.

Abstract

The left-right operator splitting method is studied for the efficient calculation of acoustic fields scattered by arbitrary rough surfaces. Here the governing boundary integral is written as a sum of left- and right-going components, and the solution expressed as an iterative series, expanding about the predominant direction of propagation. Calculation of each term is computationally inexpensive both in time and memory, and the field is often accurately captured using one or two terms. The convergence and accuracy are examined by comparison with exact solution for smaller problems, and a series of much larger problems are tackled. The method is also immediately applicable to other scatterers such as waveguides, of which examples are given.