Boundary Conditions for Hyperbolic Systems of Partial Differential Equations Having Multiple Time Scales.

Abstract

This paper is concerned with linear hyperbolic systems of partial differential equations for which certain of the associated propagation speeds are a great deal larger than the other propagation speeds. In certain cases the fast modes allowed by such a system are not present in the true physical solution. Yet the fact that such modes are allowed means that when one tries to compute a numerical solution to an initial-boundary value problem, the errors generated can propagate quite rapidly. In particular, when the boundary data used for the computation are less accurate then the initial data, the fast modes can cause a rapid contamination of the calculation in the interior. To prevent this, one would like to have boundary conditions which prevent fast waves from entering the region. The goal of this paper is to find such conditions.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA112766

Entities

People

  • Robert Lynn Higdon

Organizations

  • Stanford University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Differential Equations
  • Eigenvalues
  • Euler Equations
  • Gravity Waves
  • Grids
  • Integrals
  • Language
  • Linear Accelerators
  • Partial Differential Equations
  • Shallow Water
  • Time Intervals
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design