On the Navier-Stokes equations simulation of the head-on collision between two surface solitary waves

Pierre Lubin (1) , Stéphane Vincent (1) , Jean Paul Caltagirone (1)

1 TREFLE - Transferts, écoulements, fluides, énergétique

The scope of this Note is to show the results obtained for simulating the two-dimensional head-on collision of two solitary waves by solving the Navier-Stokes equations in air and water. The work is dedicated to the numerical investigation of the hydrodynamics associated to this highly nonlinear flow configuration, the first numerical results being analyzed. The original numerical model is proved to be efficient and accurate in predicting the main features described in experiments found in the literature. This Note also outlines the interest of this configuration to be considered as a test-case for numerical models dedicated to computational fluid mechanics.

Mots clés: Computational fluid mechanics; Head-on collision; Solitary waves; Two-phase flow

Domaines: Mécanique des fluides [physics.class-ph]

Pierre Lubin, Stéphane Vincent, Jean Paul Caltagirone. On the Navier-Stokes equations simulation of the head-on collision between two surface solitary waves. Comptes Rendus Mécanique, 2005, 333 (4), pp.351-357. ⟨10.1016/j.crme.2005.02.005⟩. ⟨hal-00294106⟩