TIME-DEPENDENT TECHNIQUES FOR THE SOLUTION OF VISCOUS, HEAT CONDUCTING, CHEMICALLY REACTING, RADIATING DISCONTINUOUS FLOWS.

Abstract

It is shown how the integral equations of inviscid hydrodynamics may be written in conservation form for arbitrary curvilinear coordinate systems. A second order accurate difference scheme for three space dimensions and time is derived directly from the integral equations. Finally, the behavior of the linearized difference approximation is examined and a necessary and sufficient condition for stability for three-dimensional cartesian coordinates is derived. The second part of the paper is devoted to the application of these difference schemes to viscous, heat conducting, chemically reacting radiating shocked flows. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0711954

Entities

People

  • Ephraim L. Rubin

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Coordinate Systems
  • Equations
  • Hydrodynamics
  • Integral Equations
  • Integrals
  • Mathematics
  • Three Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

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

Technology Areas

  • Space