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Smagorinsky Formula

Hi,

Where can i find the current form of Smagorinsky's diffusion formula that is used in oceanic models ? I am reading the paper "GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS. I THE BASIC EXPERIMENT" and i can't find it. The paper was published on Monthly Weather Review, Volume 91, Number 3 on March 1963.

PS: The formula (used in ocean models) is $A_m =C \Delta x \Delta y \frac{1}{2} \left| \nabla V + \left( \nabla V \right)^T\right|$ where:

: is the eddy viscosity coefficient

: is the flow velocity

$\Delta x$ : is the grid size in

$\Delta y$ : is the grid size in

: is a coefficient taken as 0.2

The question is not simple...in marine flows you have several effects, such as the mixed layer in which also buoyance is relevant to define the characteristic scales. Smagorinsky eddy-viscosity should be modulated as well.
A hystorical paper you can find useful is
http://onlinelibrary.wiley.com/doi/1....tb00128.x/pdf

Maybe my question isn't well posed, i mean, well explained. What i want to know is where to find that same equation with the same variables. I have READ that it was first used by Deardorff in this paper: http://journals.cambridge.org/action...ine&aid=382964 .

By the way i don't have access to that paper, does anyone have it ? Regards,

Navi