Sensitivity analysis and metamodels for the bulk parameterization of turbulent air-sea fluxes

Charles Pelletier 1 Florian Lemarié 1 Eric Blayo 1
1 AIRSEA - Mathematics and computing applied to oceanic and atmospheric flows
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, UGA - Université Grenoble Alpes, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
Abstract : State-of-the-art climate models rely on bulk formulae arising from the Monin-Obukhov semi-empirical theory to estimate turbulent air-sea fluxes. The mathematical structure of those formulae implies several difficulties when trying to study the numerical properties of coupling algorithms used for practical applications. This paper introduces a methodology for building physically realistic approximations of existing bulk formulae that would also satisfy suitable mathematical properties (explicit character, regularity, differentiability). This is achieved by applying the Sobol' method to compute sensitivity indices in order to reduce the number of inputs and derive a simple metamodel for the parameterization of turbulent air-sea fluxes. Numerical results show excellent agreement between our approximations and the standard bulk formulae. In particular, single column simulations using the TOGA-Coare experiment within the LMDZ atmospheric model show negligible changes in numerical results.
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Charles Pelletier, Florian Lemarié, Eric Blayo. Sensitivity analysis and metamodels for the bulk parameterization of turbulent air-sea fluxes. Quarterly Journal of the Royal Meteorological Society, Wiley, 2018, 144 (712), pp.658-669. ⟨10.1002/qj.3233⟩. ⟨hal-01663668⟩

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