Green's function, added mass, and the conversion rate of barotropic energy into internal tides

Bruno Voisin (1)

1 LEGI - Laboratoire des Écoulements Géophysiques et Industriels [Grenoble]

The Green's function approach of internal tidal generation replaces forcing at the seafloor topography by a distribution of singularities, and the boundary condition at the topography by an integral equation for the distribution. Introducing the concept of added mass, we show how the conversion rate of barotropic energy into internal tides can be expressed solely in terms of the dipole strength of the distribution, without requiring the calculation of the internal tide itself. We consider afterwards the effect of viscosity on the conversion rate, and show that it is unlikely to be significant.

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

Bruno Voisin. Green's function, added mass, and the conversion rate of barotropic energy into internal tides. Geophysical and Astrophysical Internal Waves Conference, Feb 2011, Les Houches, France. ⟨hal-00583115⟩