Mr. Laydi, APPROXIMATING A SYSTEM OF NAVIER-STOKES EQUATIONS USING THE HYDROSTATIC HYPOTHESIS AND APPLICATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(4), 1996, pp. 413-420
We are studying the resolution of a non-linear problem coming from oce
anography. A penalization method is offered as well as a discretisatio
n with a finite element method. We are giving convergence results and
are testing the numerical scheme on a simulation of the general circul
ation in Lake Neuchatel.