A dynamic multilayer shallow water model

Amélie Rambaud (1)

1 ICJ - Institut Camille Jordan

We propose a new simple approximation of the viscous primitive equations of the ocean including Coriolis force, by a multilayer shallow water type model. Using a finite volume type discretization in the vertical direction, we show that our system is a consistent approximation of the primitive model. Existence and uniqueness of local in time strong solution is proved for the new model. Finally we design a finite volume numerical scheme, taking advantage of the shallow water type formulation and perform preliminary numerical simulations in 1D to illustrate consistency as well as a dynamic behavior (add or remove layers).

Domaines: Equations aux dérivées partielles [math.AP]

Amélie Rambaud. A dynamic multilayer shallow water model. 2012. ⟨hal-00656022⟩