Module 5: Solution of Navier-Stokes Equations for Incompressible Flows Using SIMPLE and MAC Algorithms
  Lecture 33:
 


In a similar way, we can formulate the following array:

(33.5)
(33.6)
(33.7)
(33.8)
(33.9)
(33.10)

The correction is done through the continuity equation. Plugging-in the above relationship into the continuity equation (27.1) yields

(33.11)

Or

(33.12)

In deriving the above expression, it is assumed that the pressure corrections in the neighboring cells are zero. Back to be calculations, we can write

Or

(33.13)