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.

Report Date:

1987-10-01

Pagination or Media Count:

20.0

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 Strikwerdas 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 Moffatts solution for the Stokess 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