Recent Contributions to the Method of Characteristics for Three-Dimensional Problems in Gas Dynamics,

Abstract

The numerical method of characteristics for problems in three or more independent variables are reviewed. Particular emphasis is laid on recent methods developed in Germany; notably the optimal characteristic method of Bruhn + Haack and Schaetz, and the near characteristics method of Sauer. In all these methods, difference equations are established in their most compact form and, at each point, all outer directional derivatives are in one plane. In Sauer's method, this plane is always parallel to a fixed plane. The methods are all derived rigorously and satisfy conditions of equivalence, uniqueness, and convergence. The optimal characteristics method has been applied very successfully to the problem of unsteady flow through a Laval nozzle. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
AD0782280

Entities

People

  • Maurice Holt

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Convergence
  • Difference Equations
  • Directional
  • Dynamics
  • Equations
  • Flow
  • Gas Dynamics
  • Laval Nozzles
  • Mathematical Analysis
  • Mathematics
  • Method Of Characteristics
  • Nozzles
  • Three Dimensional
  • Unsteady Flow

Fields of Study

  • Mathematics

Readers

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