Accession Number : ADA188329

Title :   Mathematical Aspects of Finite Element Methods for Incompressible Viscous Flows.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Gunzburger, M D

PDF Url : ADA188329

Report Date : Sep 1986

Pagination or Media Count : 47

Abstract : We survey some mathematical aspects of finite element methods for incompressible viscous flows, concentrating on the steady primitive variable formulation. We address the discretization of a weak formulation of the Navier Stokes equations; we then consider the div-stability condition, whose satisfaction insures the stability of the approximation. Specific choices of finite element spaces for the velocity and pressure are then discussed. Finally, the connection between different weak formulations and a variety of boundary conditions is explored.

Descriptors :   *FINITE ELEMENT ANALYSIS, *INCOMPRESSIBLE FLOW, *VISCOUS FLOW, BOUNDARIES, FORMULATIONS, NAVIER STOKES EQUATIONS, STABILITY, VARIABLES

Subject Categories : Fluid Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE