A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.

Roland GLOWINSKI, O. Pironneau, M. O. Bristeau, B. Mantel, J. Periaux, P. Perrier

Research output: Chapter in book/report/conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

The method is based on the folllowing techniques: a mixed finite element approximation acting on a pressure-velocity formulation of the problem, a time discretization by finite differences for the unsteady problem, and an iterative method using - via a convenient nonlinear least square formulation - a conjugate gradient algorithm with scaling ; the scaling makes a fundamental use of an efficient Stokes solver associated to the above mixed finite element approximation. The results of numerical experiments are presented and analyzed. (from authors abstract)

Original languageEnglish
Title of host publicationApproximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn
PublisherSpringer Verlag
ISBN (Print)0387097341, 9780387097343
Publication statusPublished - 1980
EventInternational Union of Theoretical and Applied Mechanics (IUTAM) - University of Paderborn, Paderborn, Germany
Duration: 9 Sep 197915 Sep 1979

Conference

ConferenceInternational Union of Theoretical and Applied Mechanics (IUTAM)
Country/TerritoryGermany
CityPaderborn
Period9/09/7915/09/79

Scopus Subject Areas

  • Engineering(all)

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