A New Numerical Method for Solving the Acoustic Radiation Problem

TL;DR

This paper introduces a hybrid numerical method combining finite element and boundary algebraic equations to efficiently solve acoustic radiation problems with improved accuracy and suppression of spurious resonances.

Contribution

It presents a novel hybrid approach that simplifies implementation and enhances accuracy in acoustic radiation simulations involving rigid scatterers.

Findings

Effective suppression of spurious resonances.

Simple implementation with fair accuracy.

Applicable to exterior acoustic problems.

Abstract

A numerical method of solving the problem of acoustic wave radiation in the presence of a rigid scatterer is described. It combines the finite element method and the boundary algebraic equations. In the proposed method, the exterior domain around the scatterer is discretized, so that there appear an infinite domain with regular discretization and a relatively small layer with irregular mesh. For the infinite regular mesh, the boundary algebraic equation method is used with spurious resonance suppression according to Burton and Miller. In the thin layer with irregular mesh, the finite element method is used. The proposed method is characterized by simple implementation, fair accuracy, and absence of spurious resonances.