Numerical Computation of Hydrodynamic Flows Which Contain a Shock

Abstract

Professor R. D. Richtmyer has described a finite difference method for the computation of hydrodynamic flows which contain a shock. This method uses the Eulerian form of the hydrodynamic equations, is explicit, is of second order accuracy, and is based on shock fitting rather than the introduction of artificial viscosity. This paper describes the result of numerical computations using a modification of this finite difference method. The method is applied to a one-dimensional problem for which a solution can be computed by solving an ordinary differential equation. Therefore we are able to determine the accuracy of the method for this problem.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1962
Accession Number
ADA382671

Entities

People

  • John Gary

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Differential Equations
  • Equations
  • Mathematics
  • Viscosity

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Theoretical Analysis.