Numerical Treatment of the Pressure Singularity at a Re-Entrant Corner.

Abstract

At re-entrant corners the pressure has a singularity for incompressible viscous flow. In fluid flow computations there are geometries that have re-entrant corners, and for which it is needed to provide an appropriate value for the pressure at such a corner when a finite difference method dealing with the primitive formulation is used. In this paper we address the problem of finding an efficient strategy for computing pressure values at a re-entrant corner which applied to Strikwerda's second-order numerical method for solving the Stokes and Navier-Stokes equations. The pressure at the corner is regarded as a double valued function. Also we examine Moffatt's solution for the Stokes's problem near a step where the pressure becomes unbounded as the re-entrant corner is approached. We show that this strategy models very well the pressure singularity making the computation more amenable and efficient.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA193357

Entities

People

  • Gerardo A. Ache

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Channel Flow
  • Computations
  • Equations
  • Flow
  • Fluid Flow
  • Geometry
  • Mathematics
  • Military Research
  • Navier Stokes Equations
  • Pipe Flow
  • Poiseuille Flow
  • Pressure Gradients
  • Reynolds Number
  • Two Dimensional
  • Venezuela
  • Viscous Flow

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  • Fluid Dynamics.