Mechanics

Short-wave instability of one-dimensional radiative-convective models of the atmosphere using a quasi-hydrostatic approach

X. Xu

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: One-dimensional radiation-convective models are widely used for studying long-term climate and the influence of various processes (condensation of water vapor, the motion of droplets, and their impacts on radiative fluxes, etc.) on the hydrodynamics of the atmosphere. However, long-term prediction of climate is difficult due to the properties of the systems of equations, i.e., a small short-wave perturbation of the basic solution leads to a sharp increase in the amplitude of the perturbation. In this work, a one-dimensional non-stationary model with quasi-hydrostatic approximation is established and the short-wave instability is analyzed for various approximate models with the quasi-hydrostatic approximation.

Key words: one-dimensional radiative-convective models, quasi-hydrostatic approximation, atmospheric modeling, shortwave perturbation, instability.

UDC: 532.594

Received: 21.02.2020

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2021, 76:4, 105–110

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