Upwind Difference Schemes for Systems of Conservation Laws - Potential Flow Equations.

Abstract

We derive new upwind type finite difference approximations to systems of nonlinear hyperbolic conservation laws. The general technique is exemplified by the potential flow equations written as a first order system. The scheme has desirable properties for shock calculations. For the potential flow approximation, we show that the entropy condition is valid for limit solutions and that there exist discrete steady shocks which are unique and sharp. Numerical examples are given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA099348

Entities

People

  • Bjorn Engquist
  • Stanley Osher

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Discontinuities
  • Eigenvalues
  • Equations
  • Flow
  • Fluid Flow
  • Formulas (Mathematics)
  • Mathematics
  • Partial Differential Equations
  • Potential Flow
  • Standards
  • Two Dimensional
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Systems Analysis and Design