La résolution des équations de Navier-Stokes non hydrostatiques à surface libre
Keywords:
Navier-Stokes equations, free surface flows, finite elementsAbstract
This paper deals with the numerical solution of 3-dimensional Navier-Stokes equations with a free surface, in the framework of finite elements. The hydrostatic assumption is not done but the algorithm is built as an extension of an already existing hydrostatic Navier-Stokes solver. The results prove the robustness of the approach and show that the full 3D free surface Navier-Stokes equations are now a viable option against simplified forms like Boussinesq equations.
Downloads
References
Hervouet J.-M., Van Haren L., “Recent advances in numerical methods for fluid flows”,
Chapter 6 of Floodplain processes, Editors Anderson, Walling & Bates, Wiley & sons
Hervouet J.-M., Bates P., “Hydrological Processes”, volume 14, issue n° 13, numéro spécial :
the Telemac modelling system, 2000.
Hervouet J.-M., “A high resolution 2D dam-break model using parallelization”, Hydrological
processes, volume 14, n° 13, September 2000.
Jankowski Jacek A., A non-hydrostatic model for free surface flows, Institut für
Strömungsmechanik und Elektron, Rechnen im Bauwesen der Universität Hannover,
Bericht Nr.56/1998.
Laitone E., “The second approximation to cnoïdal and solitary waves”, Journal of Fluid
Mechanics, vol. 9, p. 430-444, 1960.
Yih C.-S., Stratified flows, Academic press, London, New-York, 1980.


