Dirichlet condition incremental pressure correction scheme

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

Why do Dirichlet BCs seem not to be satisfied exactly?

Hi, Here are some papers that discusses boundary conditions for splitting schemes: A. Vreman, The projection method for the incompressible Navier–Stokes equations: The pressure near a no-slip wall, Journal of Computational Physics 263 (2014) 353–374. doi:10.1016/j.jcp.2014.01.035. P. M. Gresho, R. L. Sani, On pressure boundary conditions for the incompressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids 7 (10) (1987) 1111–1145. doi:10.1002/fld.1650071008. …