Framing PPE for complex geometry over cartesian grid
 

Hi everyone,
I am struck with the problem of framing pressure poisson equation (PPE) for flow past cylinder problem over cartesian grid. Especially those nodes which are adjacent to cylinder surface also referred to a ghost node.
del2 p*= del.u*, where u*,p* are velocity & pressure corrections
The problem with ghost node is that PPE involves either points for the node for computing del.u* and then framing p* equation. Can anyone tell me how these problems are tackled. I would be very thankful to you :).