Abstract
A numerical method for solving the unsteady Navier-Stokes equations is used for the laminar flow behind a step. The method is based upon velocity-pressure formulation and conservative form of the equations. The finite volume technique is used, as well as a predictor-corrector method for the pressure field. A forward time-centered space finite difference approximation is employed for the Reynolds numbers required including the Re = 500 case (v).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
A.A. AMSDEN, F.H. HARLOW, The S.M.A.C. Method: A numerical technique for calculating incompressible fluid flow, Los Alamos Scientific Laboratory, Report LA-43 70, 1970.
M. BRAZA, Simulation numérique du décollement instationnaire externe par une formulation vitesse-pression. Application à l’écoulement autour d’un cylindre, Thèse de Docteur-Ingénieur, I.N.P. Toulouse, 1981.
A.J. CHORIN, Nun-,erical solution of the Navier-Stokes equations, Mathen-,atics of computation, vol. 22, october 1968.
J. DOUGLAS, On the numerical solution of parabolic and elliptic differential equation, J. Soc. Indust. Appl. Math., vol. 3, n° 1, pp. 42–65 (1965).
F.H. HARLOW, J.E. WELCH, Numerical calculation of time-dependent viscous incompressible flow of fluids with free surface, The Physics of Fluids, vol. 8, n° 12, december 1965.
D.W. PEACEMAN, H.H. RACHFORD, The numerical solution of parabolic and elliptic differential equations, J. Soc. Indust. Appl. Math., vol. 3, n° 1, pp. 28–41, 1955.
G.I. TAYLOR, Scientific Papers, Edited by Batchelor, G.K., Can-,bridge Univ. Press, 1960.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Braza, M., Ha Minh, H., Cazalbou, J.B. (1984). Numerical Analysis of Laminar Flow over a Step. 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_6
Download citation
DOI: https://doi.org/10.1007/978-3-663-14242-3_6
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08083-9
Online ISBN: 978-3-663-14242-3
eBook Packages: Springer Book Archive