THE METHOD OF NEAR CHARACTERISTICS FOR UNSTEADY FLOW PROBLEMS IN TWO SPACE VARIABLES

Abstract

Sauer's new approach to hyperbolic problems involving more than two independent variables is discussed and applied to underwater shock wave problems. In the case of plane, unsteady problems depending on time t and Cartesian coordinates x,y the characteristic lines of the governing equations in the x,t plane are found and a finite difference scheme based on these lines and lines parallel to the y axis is developed. In this way a two dimensional unsteady problem is solved as a sequence of one dimensional problems in planes y = constant. This scheme is much simpler than earlier schemes based on bicharacteristics.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0414468

Entities

People

  • Maurice Holt

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Coefficients
  • Difference Equations
  • Differential Equations
  • Directional
  • Equations
  • Equations Of Motion
  • Explosions
  • Explosives
  • Flow
  • Government Procurement
  • Method Of Characteristics
  • Partial Differential Equations
  • Shock Waves
  • Two Dimensional
  • Underwater Explosions
  • Unsteady Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Space