Smagorinsky Formula

Naviercito · June 12, 2013, 06:19

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

FMDenaro · June 12, 2013, 07:33

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

Naviercito · June 13, 2013, 04:40

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

June 12, 2013, 06:19	Smagorinsky Formula	#1
Naviercito New Member VPerez Join Date: Apr 2013 Posts: 6 Rep Power: 13	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

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June 12, 2013, 07:33		#2
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,897 Rep Power: 73	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

June 13, 2013, 04:40		#3
Naviercito New Member VPerez Join Date: Apr 2013 Posts: 6 Rep Power: 13	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