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Comparing numerical simulations of free surface flows using non-hydrostatic Navier-Stokes and Boussinesq equations

J.M. Hervouet
(Groupe Hydraulique Fluviale, Laboratoire National d'Hydraulique et Environnement, Division Recherche et Développement, Electricité de France)
and Jacek A. Jankowski
(Institut für Strömungsmechanik und Elektron. Rechnen im Bauwesen der Universität Hannover, Germany)

Abstract. The numerical solutions of three-dimensional, non-hydrostatic Navier-Stokes equations are compared to the ones obtained with Boussinesq equations in the case of a solitary wave in a rectangular channel. The solution procedures used in Telemac-2D for Boussinesq and in Telemac-3D for Navier-Stokes are presented and the numerical results are compared, focusing on the computational time. Depending on the number of mesh levels used in 3D, the solution of full Navier-Stokes equations can be computationally more advantageous than applying the 2D Boussinesq equation.

The text can be obtained from the publication site at www.opentelemac.org site; locally: text, fig.1, fig.2.

Reference: Hervouet, J.-M. and Jankowski, J.A. (2000) Comparing numerical simulations of free surface flows using non-hydrostatic Navier-Stokes and Boussinesq equations. Proceedings of the 4th Conference on Hydroinformatics, Iowa City, Iowa (USA), 2000.

© 2001 by jaj • mail:  jacek.jankowski@web.de