
Accession Number : ADA193357
Title : Numerical Treatment of the Pressure Singularity at a ReEntrant Corner.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON CENTER FOR MATHEMATICAL SCIENCES
Personal Author(s) : Ache, Gerardo A
PDF Url : ADA193357
Report Date : Oct 1987
Pagination or Media Count : 20
Abstract : At reentrant corners the pressure has a singularity for incompressible viscous flow. In fluid flow computations there are geometries that have reentrant 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 reentrant corner which applied to Strikwerda's secondorder numerical method for solving the Stokes and NavierStokes 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 reentrant 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