The eddy viscosity is calculated separately for each layer and combined using:
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This can be approximated by the eddy viscosity.
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It models the eddy viscosity as:
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The closure problem is solved through the Boussinesq eddy viscosity concept relating the Reynold stresses to the mean velocity field.
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These are based on an artificial eddy viscosity approach, where the effects of turbulence are lumped into a turbulent viscosity.
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Most eddy viscosity SGS models model the eddy viscosity as the product of a characteristic length scale and a characteristic velocity scale.
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Most eddy viscosity SGS models model the eddy viscosity as the product of a characteristic length scale and a characteristic velocity scale.
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In order to understand the vertical velocity structure of the water column, equations and can be rewritten in terms of the vertical eddy viscosity term.
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If the flow is homogeneous within the region, we can set the product of the vertical gradient of the mean horizontal flow and the eddy viscosity coefficient \ K _ m equal to \ u _ * ^ 2:
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Where \ u and \ v are the velocities in the \ x and \ y directions, respectively, \ f is the local Coriolis parameter, and \ K _ m is the diffusive eddy viscosity, which can be derived using mixing length theory.
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