RESEARCH ON NONLINEAR ACOUSTICS.

Abstract

The possibility that nonlinear acoustic flows may be represented by spherical progressive waves (in the sense of Courant and Friedrichs) was examined and found to be unlikely. An iterative finite-difference method for the calculation of continuous periodic spherical flows was developed together with a FORTRAN code, SPHERE, that implements the method. Sample calculations have shown that the code is effective but slow, and several ways for reducing the computation time are suggested. Convergence difficulties in one of the iterative loops were overcome by the use of a semi-iterative underrelaxation scheme. When applied to linear systems, such semi-iterative schemes were found to be equivalent to a class of summability methods that may be regarded as generalizations of Euler summation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0667223

Entities

People

  • Anthony J. Penico
  • Clarence M. Ablow
  • George M. Muller
  • Leonard D. Mcculley
  • Yapa D. Rajapakse

Organizations

  • SRI International

Tags

DTIC Thesaurus Topics

  • Acoustics
  • Computations
  • Convergence
  • Linear Systems
  • Mathematical Analysis

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)