Andrew Peplow (KTH. Stockholm. Sweden)

Spectral acoustic waveguide finite elements

Abstract

A spectral element method is described which enables reduced wave equation problems defined in regular, arbitrary length regions to be solved as a set of coupled problems over neighbouring domains. A combination of trial functions are considered, namely the specific eigenfunctions of a differential operator and a set of hierarchical polynomials. Accurate approximations are obtained for computations of local perturbations of the ambient fluid and a study of an optimal non-reflecting boundary are presented.