Simulations of the 2.5D inviscid primitive equations in a limited domain

The primitive equations (PEs) of the atmosphere and the oceans without viscosity are considered. These equations are not well-posed for any set of local boundary conditions. In space dimension 2.5 a set of nonlocal boundary conditions has been proposed in [4]. The present article is aimed at testing the validity of these boundary conditions with physically relevant data. The issues tested are the well-posedness in the nonlinear case and the computational efficiency of the boundary conditions for limited area models [27].