Optimisation methods for bathymetry and open boundary conditions in a finite element model of ocean tides (Q1339549)

A bidimensional, spectral in time, quasi-linearised hydrodynamic ocean tide model is derived from the classical shallow water equations by removing velocity unknowns in the continuity equation, that leads to an elliptic, second-order differential equation where tide denivellation remains the only unknown quantity. The problem is solved in variational formulation, and the finite elements method is used to discretise the equations in the spatial domain with a Lagrange-P2 approximation. An illustration is presented on the North Atlantic Basin.