Dirichlet condition incremental pressure correction scheme

Hello,

I was wondering to what extent it is / if it is physically corerct to prescribe a pressure dirichlet BC in an IPCS method. Due to the fact that I seem to remember that there is a slight discrepancy because you are prescribing the perssure, however the equation solves for the pressure correction.
So my question is, is it actually correct to prescirbe the pressure in an IPCS method. I know it is possible and it also works, however I’m wondering about the physical correctness of it.

Cheers,
Jack

Boundary conditions for splitting schemes are debated, and a small literature list can be found at:

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