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


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a188329.pdf


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