Acoustic Scattering by Axisymmetric Finite-Length Bodies: An Extension of a 2-Dimensional Conformal Mapping Method
Abstract
A general scattering formulation is presented for predicting the far-field scattered pressure from irregular, axisymmetric, finite length bodies for three bound- ary conditions-soft, rigid and fluid. The formulation is an extension of a two dimensional conformal mapping approach D. T. DiPerna and T. K. Stanton, J. Acoust. Soc. Am. 96: 30643079 (1994) to scattering by finite length bodies. This extended formulation, which is inherently numerically efficient to evaluate, involves conformally mapping the surface of an irregular, finite length body to a new, orthogonal coordinate system in which the separation of variables method may be used to solve the Helmholtz equation and satisfy the boundary conditions. Extensive comparisons with previously published results using other formulations are presented. This formulation is shown to be very accurate in the prediction of scattering from smooth, symmetric bodies for a wide range of frequencies (Rayleigh through geometric scattering region), scattering angles (monostatic and bistatic), aspect ratios, and for each of the three boundary conditions listed above. Reasonable agreement has also been demonstrated for irregular, realistic shapes with soft boundary conditions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 10, 2002
- Accession Number
- ADA410119
Entities
People
- D. B. Reeder
- Timothy K. Stanton
Organizations
- Woods Hole Oceanographic Institution