Where is vorticity located on a staggered grid?

Divyaprakash · March 28, 2023, 13:13

The question is in a title. I am solving the NSE on 2D grid. Thus there is only one component of the vorticity. Is it stored at the cell center like pressure?

FMDenaro · March 28, 2023, 15:31

Quote:

Originally Posted by Divyaprakash

The question is in a title. I am solving the NSE on 2D grid. Thus there is only one component of the vorticity. Is it stored at the cell center like pressure?

No, you need to think about its definition du/dy-dv/dx, discretized with second order central formula on the step sizes dx and dy.

Divyaprakash · March 29, 2023, 05:24

Ok thanks. Now that I think about it, the vorticity will be at the cell center due to taking derivatives.

March 28, 2023, 13:13	Where is vorticity located on a staggered grid?	#1
Divyaprakash Member Divyaprakash Join Date: Jun 2014 Posts: 69 Rep Power: 12	The question is in a title. I am solving the NSE on 2D grid. Thus there is only one component of the vorticity. Is it stored at the cell center like pressure?

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March 29, 2023, 05:24		#3
Divyaprakash Member Divyaprakash Join Date: Jun 2014 Posts: 69 Rep Power: 12	Ok thanks. Now that I think about it, the vorticity will be at the cell center due to taking derivatives.