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We study an atmospheric column and its discretization. Because of numericalconsiderations, the column must be divided into two parts: (1) a surface layer,excluded from the computational domain and parameterized, and (2) the rest ofthe column, which reacts more slowly to variations in surface conditions. Ausual practice in atmospheric models is to parameterize the surface layerwithout excluding it from the computational domain, leading to possibleconsistency issues. We propose here to unify the two representations in aFinite Volume discretization. In order to do so, the reconstruction inside thefirst grid cell is performed using the particular functions involved in theparameterizations and not only with polynomials. Using a consistency criterion,surface layer management strategies are compared in different physicalsituations.

Towards a finite volume discretization of the atmospheric surface layer consistent with physical theory