SIMPLE Algorithm & Conjugate Gradient Method

Abhijit Tilak

hi friends out there,

I am attempting to solve viscous incomp, driven cavity flow using SIMPLE algorithm, but instead of using gauus siedel/LSOR/ADI i wanna use Conjugate Gradient Method. I can pose that as minimization problem and solve it. My coeffficient matrix [A] will not be symmetric but it will be positive definate (for u,v, Temp ). What about Pressure Correction equation ? The matrix [A] for Pres corr'n cannot be reduced using CG method. Has anyone tried this? with what results. Is pre conditioning required for P' ? any references ?

Lemme know Thanks Abhijit Tilak