Sound Scattering by Cylinders of Noncircular Cross Section

Abstract

This thesis investigates a new method for predicting the farfield scattered pressure of a plane wave due to an infinite cylinder of noncircular cross section. Both impenetrable and penetrable fluid boundary conditions will be treated for several types of cross sections and for a large frequency range. This new method requires the conformal mapping of both the exterior and interior of a closed surface to a semi-infinite strip. Numerically efficient algorithms will be presented for both of these cases. A new method for satisfying the boundary conditions will be developed, as well as an efficient algorithm for generating the required modal functions on the boundary. Numerical results are presented for cross sections in the shape of an ellipse, square, and three leaf clover. In all cases, the results compare extremely well with exact or high frequency asymptotic results. Acoustics, Scattering, Cylinders

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1994
Accession Number
ADA276663

Entities

People

  • Daniel T. Diperna

Organizations

  • Woods Hole Oceanographic Institution

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Aspect Ratio
  • Bessel Functions
  • Born Approximations
  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Diffraction
  • Equations
  • Geometry
  • Helmholtz Equations
  • Integral Equations
  • Integrals
  • Oceanography
  • Scattering
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)