On the Finite Element Approximation of the Streamfunction-Vorticity Equations,

Abstract

Finite element algorithms are presented for the approximate solution of the streamfunction-vorticity equations of steady incompressible viscous flows. Both the linear Stokes and the nonlinear Navier-Stokes equations are considered. The methods discussed require low continuity finite element spaces and do not require any artificial specification of the vorticity at solid boundaries. Particular attention is paid to methods for multiply connected domains and to theoretical and computational estimates for the accuracy of the algorithms. Brief consideration is also given to three dimensional problems, to exterior problems, and to the recovery of the pressure field. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA143506

Entities

People

  • J. S. Peterson
  • M. D. Gunzburger

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Computations
  • Continuity
  • Differential Equations
  • Equations
  • Flow
  • Geometry
  • Linear Systems
  • Mathematics
  • Navier Stokes Equations
  • Nonlinear Algebraic Equations
  • Partial Differential Equations
  • Statistics
  • Three Dimensional
  • Viscous Flow

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  • Approximation Theory.
  • Fluid Dynamics.
  • Groundwater Contamination Remediation.

Technology Areas

  • Space
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