THE IMPORTANCE OF BOUNDARY CONDITIONS IN THE NUMERICAL TREATMENT OF HYPERBOLIC EQUATIONS

Abstract

Many of the existing computations of initial-and-boundary value problems in fluid mechanics suffer from unrealistic treatment of boundary points. Three categories of boundaries are briefly discussed: rigid walls, arbitrary boundaries of a computational region in a subsonic flow, and shock waves. An attempt is made to show in what sense the numerical treatment of such boundaries may be physically wrong and what can be done instead. Examples from the blunt body problem, the transonic flow in a nozzle, the incompressible inviscid flow past a circle, and the quasi-one-dimensional flow in a Laval nozzle, are shown.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1968
Accession Number
AD0681365

Entities

People

  • Gino Moretti

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Blunt Bodies
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Hydrodynamics
  • Inviscid Flow
  • Mechanical Properties
  • Mechanics
  • New York
  • Partial Differential Equations

Fields of Study

  • Mathematics
  • Physics

Readers

  • Educational Psychology
  • Fluid Dynamics.