Abstract
This work aims to contribute to what is considered as a major computational issue for the geophysical fluid dynamics (GFD) for the coming years, i.e., the boundary conditions for numerical computations in a limited domain, with a boundary that has (at least partly) no physical justification. Numerical computations in limited domains in ocean and atmosphere are constantly required (and sometimes lead to commercial softwares) in order to provide forecasts for agriculture, tourism industry, insurances, aircraft navigation, etc. This chapter focuses on the nonviscous primitive equations in a limited domain in space dimensions 2, 2.5, and 3 and provides in each case a set of boundary conditions which is shown to lead to a well-posed problem. The suitability of these new boundary conditions is also computationally evidenced in space dimension 2.
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