Abstract
The results presented in this paper have been obtained by use of the finite element method applied to the solution of the incompressible Nader Stokes equations. The unknowns are the stream function ψ and the vorticity ω, leading to the mixed method proposed by Ciarlet and Raviart [1]. A theoretical study of this approach is presented in the book of Girault and Raviart [2].
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References
CIARLET,P.G and RAVIART, P.A “A mixed finite element method for the biharmonic equation” in Mathematical aspects of Finite Elements in Partial Differential Equations,Academic Press, pp. 125–145 (1974).
GIRAULT, V and RAVIART,P.A “Finite Element Approximation of the Navier Stokes Equations”, Lecture Notes in Mathematics n° 749, Springer Verlag (1979).
BREDIF, M. “Resolution des équations de Navier-Stokes par une méthode d’éléments finis mixtes”, Thèse de Docteur Ingénieur, Paris 6 (1980). English Translation (ESA translation n° TT-720): “A solution of the Navier Stokes equations by a mixed finite element method”.
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© 1984 Springer Fachmedien Wiesbaden
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Bredif, M. (1984). Calculation of Laminar Flow over a Step by a Finite Element Method Based on the Stream Function-Vorticity Formulation. In: Morgan, K., Periaux, J., Thomasset, F. (eds) Analysis of Laminar Flow over a Backward Facing Step. Notes on Numerical Fluid Mechanics, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14242-3_7
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DOI: https://doi.org/10.1007/978-3-663-14242-3_7
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08083-9
Online ISBN: 978-3-663-14242-3
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