FINITE DIFFERENCE SOLUTIONS OF THE ACOUSTIC RADIATION EQUATION IN THE NEAR FIELD.

Abstract

Numerical methods for the solution of the finite difference approximation to the acoustic radiation equation are discussed. For a spherical radiator, the Gauss-Seidel iterative method and the alternating direction implicit method are employed to solve the discrete approximation of the Helmholtz equation in the near field. Emphasis is on the development of the general numerical method and on the extrapolation scheme used to increase the rate of convergence. Measures of the number of calculations needed for various methods of solution are reported. A discussion of the nature of the acoustic radiation problem in numerical computation is also presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0666960

Entities

People

  • S. Bart Childs
  • Yeh-pei Lu

Organizations

  • University of Houston

Tags

DTIC Thesaurus Topics

  • Computations
  • Convergence
  • Equations
  • Extrapolation
  • Helmholtz Equations
  • Mathematical Analysis
  • Mathematics
  • Near Field
  • Radiation

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)