Mathematical Aspects of Finite Element Methods for Incompressible Viscous Flows.

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1986
Accession Number
ADA188329

Entities

People

  • M. D. Gunzburger

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Computations
  • Constitutive Equations
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Flow
  • Grids
  • Incompressible Flow
  • Navier Stokes Equations
  • New York
  • Stability Conditions
  • Stratified Fluids
  • Three Dimensional
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space