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Vertical Temperature Profiles at Maximum Entropy Production with a Net Exchange Radiative Formulation

Corentin Herbert 1, * Didier Paillard 2, 3 Bérengère Dubrulle 4
* Corresponding author
3 CLIM - Modélisation du climat
LSCE - Laboratoire des Sciences du Climat et de l'Environnement [Gif-sur-Yvette] : DRF/LSCE
4 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : Like any fluid heated from below, the atmosphere is subject to vertical instability that triggers convection. Convection occurs on small time and space scales, which makes it a challenging feature to include in climate models. Usually subgrid parameterizations are required. Here, an alternative view based on a global ther-modynamic variational principle is developed. Convective flux profiles and temperature profiles at steady state are computed in an implicit way by maximizing the associated entropy production rate. Two settings are examined, corresponding respectively to an idealized case of a gray atmosphere and a realistic case based on a net exchange formulation radiative scheme. In the second case, the effect of variations of the atmospheric composition, such as a doubling of the carbon dioxide concentration, is also discussed.
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Corentin Herbert, Didier Paillard, Bérengère Dubrulle. Vertical Temperature Profiles at Maximum Entropy Production with a Net Exchange Radiative Formulation . Journal of Climate, American Meteorological Society, 2013, 26, pp.8545 - 8555. ⟨10.1175/JCLI-D-13-00060.s1⟩. ⟨cea-01490866⟩

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