SOLUTION OF BLAST WAVES BY A CONSTANT TIME SCHEME IN THE METHOD OF CHARACTERISTICS

Abstract

The numerical method of characteristics with constant time grids is applied to the plane blast wave problem. The calculation begins at a constant time line bounded by the shock front and a fixed back boundary which lies halfway between the shock front and the time axis. Along the initial time line, all three flow variables are prescribed and on the back boundary, the local flow velocity is prescribed. The prescribed values are calculated from the similarity solution. For the shock front, the strong shock equations are applied. When compared to the exact similarity solution, the results of this method are found to be accurate to within .5% for all variables throughout the region of calculation, after a pressure drop of 98%. Both h2-type and h-type extrapolations of calculated results improve the accuracy; however, h-type extrapolation is more favorable. The effects on the domain of dependence and range of influence are studied briefly.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0638859

Entities

People

  • Pei Chi Chou
  • Shih Lien Huang

Organizations

  • Drexel University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Blast
  • Blast Waves
  • Boundaries
  • Classification
  • Contracts
  • Differential Equations
  • Equations
  • Errors
  • Extrapolation
  • Flow
  • Fluid Flow
  • Method Of Characteristics
  • Nomenclature
  • Pressure Distribution
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Mathematics or Statistics