BCs for Pressure Correction Equation (SIMPLE)

Bharath Somayaji

Hi there

I'm stuck with the use of proper boundary conditions for a channel flow problem where i use SIMPLE algorithm to determine the fluid flow. The flow is incompressible. I have a specified velocity inlet on the left and i impose a fully developed flow on the right. The top and bottom walls have no-slip velocity bcs. When i try to solve this using the SIMPLE alorithm, how should the bcs for the p' equation be given? Should the p' equation (that is a poisson equation of p')be seen as a pure boundary value problem in which case i need o set p' on all the sides or be treated as mixed type problem wherein i can replace the p' bcs in some of the edges by the pressure bc itself? I'm also trying the version that patankar has mentioned in his book where the transport coefficient would become zero on the boundary where velocity is specified. That seems not to work beacuse i'm not sure of the bcs on the other sides especially when you deal with p' equation

Please let me know what i'm not considering or may be i have a bug in implementing the p' on the boundaries.

Thanks Bharath Somayaji