Jean-Michel Hervouet and Jacek A. Jankowski

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: PDF file.

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.