Accession Number : ADA193357

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

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Ache, Gerardo A

PDF Url : ADA193357

Report Date : Oct 1987

Pagination or Media Count : 20

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.

Descriptors :   *INCOMPRESSIBLE FLOW, *VISCOUS FLOW, COMPUTATIONS, EFFICIENCY, FINITE DIFFERENCE THEORY, FLUID FLOW, MATHEMATICAL MODELS, NAVIER STOKES EQUATIONS, NUMERICAL METHODS AND PROCEDURES, PRESSURE, STRATEGY

Subject Categories : Fluid Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE