Boundary and Interface Conditions for High Order Finite Difference Methods Applied to the Euler and Navier-Stokes Equations

Abstract

Boundary and interface conditions for high order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and strong stability. The interface conditions are stable and conservative even if the finite difference operators and mesh sizes vary from domain to domain. Numerical experiments show that the new conditions also lead to good results for the corresponding nonlinear problems.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1998
Accession Number
ADA349792

Entities

People

  • Jan Nordström
  • Mark H. Carpenter

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Flow
  • Grids
  • Mach Number
  • Navier Stokes Equations
  • Notation
  • Numbers
  • Reynolds Number
  • Square Roots
  • Stability Conditions
  • Theorems
  • Truncation

Readers

  • Calculus or Mathematical Analysis
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).