Abstract
A general method is described for calculating radiated and scattered sound fields about three-dimensional bodies. The method utilizes a source distribution on the surface of the body and solves for the distribution necessary to satisfy the boundary conditions. Plane quadrilateral surface elements are used to approximate the body surface, and the integral equation for the source density is replaced by a set of linear algebraic equations for the values of source density on the quadrilateral elements. Once the source density is known, acoustic pressure and fluid velocity on the body, in the nearfield, and in the farfield are calculated. The acoustic fields of the quadrilateral elements are evaluated by certain expansions in wavenumber. The method is described and its usefulness and limitations discussed. The accuracy of the method is exhibited by comparisons with analytic solutions for a number of bodies including a sphere, a cube, a triaxial ellipsoid, and a finite circular cylinder.
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