Abstract
The purpose of this study is to assess the numerical efficiency of the penalty formulation and the Newton-Raphson solution strategy for solving a particular problem of laminar flow over a backward facing step. A 7-node triangle with 14 df is employed to obtain velocity and pressure profiles at different Reynolds numbers. The paper thus begins with a description of the penalty formulation, elements employed and the Newton-Raphson method, followed by a detailed presentation of velocity and pressure values at Re = 50, 150 for two step heights.
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References
DHATT G., HUBERT G., “Some new penalty elements for incompressible flows”, 3rd Int. Conf. on Num. Meth. in Lam, and Turb. Flow,Aug. 1983, Seattle, U.S.A.
RAVIART P.A., “Les méthodes d’éléments finis en mécanique des fluides”, 1981, p 65–92, Editions Eyrolles, France.
DHATT G., TOUZOT G., “Une présentation de la méthode des éléments finis”, 1981, Editions Maloine, France.
GERARDIN M., IDELSOHN S., HOGGE M., “Computational strategies for the solution of large nonlinear problems via quasi-Newton methods”, Computer and Structures, Vol. 13, pp 73–81.
JAEGER M., “Méthode Quasi-Newton pour la résolution des problèmes non-linéaires par éléments finis”, rapport de DEA Mécanique et Calcul des Structures, 1983, Université de Compiègne, Div. M.N.M., France.
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© 1984 Springer Fachmedien Wiesbaden
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Dhatt, G., Hubert, G. (1984). Study of Incompressible Flow Over a Backward Facing Step Using a Triangular Penalty Element. 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_10
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DOI: https://doi.org/10.1007/978-3-663-14242-3_10
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08083-9
Online ISBN: 978-3-663-14242-3
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