✦ LIBER ✦

ANALYSIS OF THREE-DIMENSIONAL TRANSIENT ACOUSTIC WAVE PROPAGATION USING THE BOUNDARY INTEGRAL EQUATION METHOD

✍ Scribed by M. J. BLUCK; S. P. WALKER

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 714 KB
Volume: 39
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19960430)39:8<1419::aid-nme911>3.0.co;2-c

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✦ Synopsis

This paper describes a boundary integral equation (boundary element) method for the solution of a variety of transient acoustic problems. The spatial and temporal discretization employs quadratic isoparametric elements with high-order Gauss quadrature, and the ensuing equations are implicit. The implicit formulation both eliminates the instabilities reported in explicit treatments, and permits a freedom of choice of timestep which can reduce costs dramatically. The accuracy of the approach is demonstrated by comparison with the analytical solution for a sphere. Results for more demanding sphere-con-phere geometries extending to seven wavelengths long are presented, and compared to those obtained from a related frequency domain approach.

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