Stable Boundary Conditions for Cartesian Grid Calculations

Abstract

We solve the inviscid Euler equations in complicated geometries using a Cartesian grid. This requires solid wall boundary conditions in the irregular grid cells near the boundary. Since these cells may orders of magnitude smaller than the regular grid cells, stability is a primary concern. We present a new approach to this problem and illustrate its use.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1990
Accession Number
ADA223152

Entities

People

  • M. J. Berger
  • R. J. Leveque

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Aeronautics
  • Boundary Value Problems
  • Cauchy Problem
  • Computations
  • Contracts
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Euler Equations
  • Geometry
  • High Resolution
  • Mathematics
  • Steady State
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)