NONUNIQUENESS OF STEADY STATES IN A NONLINEAR MODEL OF CONVECTION WITH IMPOSED LARGE-SCALE SUBSIDENCE

L. Kh. Ingel

A stationary nonlinear semiempirical analytical model is considered for turbulent convection with imposed slow large-scale subsidence over a heated plane. Parametrization of turbulent convection uses an effective coefficient of turbulent exchange depending on a vertical gradient of a target value, i.e., mean potential temperature. The nonlinear problem considered can have two essentially different stationary solutions for the same external parameters. One solution corresponds to the case without any convection, when only a relatively thin air layer is heated by the underlying surface and the effective value of the Rayleigh number is below critical. The other solution corresponds to developed turbulent convection penetrating fairly high.

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