A Stable Penalty Method for the Compressible Navier-Stokes Equations. 1. Open Boundary Conditions

Abstract

The purpose of this paper is to present asymptotically stable open boundary conditions for the numerical approximation of the compressible Navier- Stokes equations in three spatial dimensions. The treatment uses the conservation form of the Navier-Stokes equations and utilizes linearization and localization at the boundaries based on these variables. The proposed boundary conditions are applied through a penalty procedure, thus ensuring correct behavior of the scheme as the Reynolds number tends to infinity. The versality of this method is demonstrated for the problem of a compressible flow past a circular cylinder. Penalty method, Compressible Navier-Stokes boundary condition

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1994
Accession Number
ADA284947

Entities

People

  • D. Gottlieb
  • J. S. Hesthaven

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Compressible Flow
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Euler Equations
  • Flow
  • Fluid Flow
  • Formulas (Mathematics)
  • Navier Stokes Equations
  • Partial Differential Equations
  • Reynolds Number
  • Runge Kutta Method
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.