A Direct Algorithm for Convective Adjustment of the Vertical Temperature Profile for an Arbitrary Critical Lapse Rate

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Abstract
An efficient direct algorithm of convective adjustment for an arbitrary critical value of the vertical temperature lapse rate γ is proposed. The algorithm provides an exact and unique solution of a standard convective adjustment problem for models with temperature specified either on nonuniformly spaced levels or for layers of different thicknesses in pressure, sigma, or other vertical coordinate related to pressure. The algorithm may be recommended for use either directly in atmospheric models not explicitly including a hydrologic cycle with prescribed γ, or as a part of more complicated parameterizations of moist convection, where γ may be calculated depending on relative humidity.

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