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The pressure-correction method

  The pressure-correction method as implemented in the ISNaS incompressible code is the one described in Van Kan et al. (1991). Starting point is the -method formulated by (8.4), (8.5) or the variant (8.8), (8.9).
Following Van Kan et al. (1991) we define an intermediate velocity by:

 

must be such that the boundary conditions at are satisfied. In the case of prescribed normal velocities this means that the corresponding rows in the matrix G contain zeros.
Subtraction of (9.2) from (8.8) gives

 

where the term has been neglected.
Application of (8.9) to (9.3) gives

 

which is a Laplacian-type equation for the pressure correction. Once has been computed follows from (9.3):

 

Remark: the matrix is in general non-symmetrical.



Tatiana Tijanova
Wed Mar 26 10:36:42 MET 1997