On Vorticity Boundary Conditions,

Abstract

We discuss the problem of boundary conditions for the vorticity form of the 2-D Navier-Stokes equations and the Prandtl boundary layer equations. We present a new formulation of the vorticity boundary conditions and relate these conditions to those which are currently used in numerical algorithms. We present a finite difference scheme incorporating the new boundary conditions for the Prandtl boundary layer equations. Numerical results are presented.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1986
Accession Number
ADA173836

Entities

People

  • Christopher R. Anderson

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Mechanics
  • Formulas (Mathematics)
  • Integral Equations
  • Integrals
  • Navier Stokes Equations
  • Stratified Fluids
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Joint Military Operations and Doctrine.