TRANSIENT SPHEROIDAL ELEMENTS FOR UNBOUNDED WAVE PROBLEMS

A wave-envelope element numerical scheme is applied to the solution of unbounded wave problems. The scheme is based on a Fourier transformat ion of a discrete model formulated in the frequency domain. This yield s a discrete system of ordinary differential equations in time which a re local in space. Oblate and prolate spheroidal element geometries ar e used. The accuracy of the scheme is demonstrated by a comparison of computed and analytic solutions for axisymmetric test cases. Time-harm onic and transient solution are presented. An indirect solution proced ure is also presented which permits the sparsity of the transient: equ ations to be utilised more effectively. (C) 1998 Elsevier Science S.A. All rights reserved.