On 5/29/20 9:42 AM, Alexey Ozeritskiy wrote:

In step-35 we find u^{k+1} (diffusion step)
Then we find \phi^{k+1} (projection step) and correct p^{k+1} pressure.
But why we don't correct u^{k+1} velocity? I think u^{k+1} must be solenoidal but it is not.

Alexey,
I'm not enough of an expert on projection methods, but you might want to try the review paper by Guermond from a few years ago to get some of the background of these methods. I don't know whether u^{k+1} must be solenoidal, but it is quite possible that it doesn't have to be -- only that the divergence is small (some power of h).

Best
 W.


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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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