[FMDenaro]

Originally Posted by avinash87

Then will you please guide me about classical pressure projection method for the same....? My senior did the same with SIMPLE algorithm and he got the results but method failed to capture shocks with good resolution. So i have to verify that whether pressure projection method can do better or not.

a failure in capturing schock with good resolution does not necessarily depends on the failure of the algorithm for compressible flows... maybe your spatial (and temporal) discretization is simply not good enough for problem with discontinuity

[leflix]

Originally Posted by hilllike

The projection method is based on Helmholtz-Hodge decomposition that any vector can decompose into a divergence-free vector and a potential of a scalar function.

I don't think projection method can be used in your study, because it cannot satisfy this condition, div.V =0.

I works on incompressible flow, so I am sorry if I make some mistakes.

No Hillike formally you are completely right ! I agree with you. However I have seen somewhere a kind of method similar to the projection method which was adapted to compressible flows. I have to check....