Entrainment laws and a bulk mixed layer model of rotating convection derived from large-eddy simulations

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Oceanography: General: Numerical Modeling, Oceanography: Physical: Turbulence, Diffusion, And Mixing Processes, Oceanography: Physical: Upper Ocean Processes

Scientific paper

Entrainment of rotating convection is investigated using a large-eddy simulation (LES) model. The model is forced with a uniform destablizing surface buoyancy flux, which varies by about an order of magnitude. The initial mixed layer depth varies from 0 to 3000 m and the background stratification varies over two orders of magnitude. The vertical component of the Earth's rotation rate at 30, 45, and 60°N are used. The corresponding flux Rossby number varies about three orders of magnitude. An empirical formula for the ratio of entrainment buoyancy flux to the surface buoyancy flux as a function of the Rossby number is derived. A bulk mixed-layer model for rotating convection is formulated based on the entrainment formula. It is suggested this formula can also be used to tune other 1-D models used in ocean general circulation models to account for the effect of Earth's rotation on convection.

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