COUPLED MODE AND FINITE ELEMENT APPROXIMATIONS OF UNDERWATER SOUND PROPAGATION PROBLEMS IN GENERAL STRATIFIED ENVIRONMENTS

Author:

ATHANASSOULIS G. A.1,BELIBASSAKIS K. A.1,MITSOUDIS D. A.23,KAMPANIS N. A.2,DOUGALIS V. A.24

Affiliation:

1. Department of Naval Architecture and Marine Engineering, National Technical University of Athens, 15710 Zografos, Greece

2. Institute of Applied and Computational Mathematics, F.O.R.T.H., P.O. Box 1527, 71110 Heraklion, Greece

3. Department of Applied Mathematics, University of Crete, 71409 Heraklion, Greece

4. Department of Mathematics, University of Athens, 15784 Zographou, Greece

Abstract

We compare the results of a coupled mode method with those of a finite element method and also of COUPLE on two test problems of sound propagation and scattering in cylindrically symmetric, underwater, multilayered acoustic waveguides with range-dependent interface topographies. We observe, in general, very good agreement between the results of the three codes. In some cases in which the frequency of the harmonic point source is such that an eigenvalue of the local vertical problem remains small in magnitude and changes sign several times in the vicinity of the interface nonhomogeneity, the discrepancies between the results of the three codes increase, but remain small in absolute terms.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Acoustics and Ultrasonics

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