Coordinate transformation for NS equations
 

To simulate a flow around a complex geometry, the NS equations have to be transformed to generalized coordinates. I am reading Ferziger's book. He gives a general form as equation (8.8) on page 220. I am wondering what are those terms B^11, B^21, B^31, ..., B^23, B^33. Can anyone tell me if there is a book or a paper describing these in more detail ? Is this formulation good for discritization and coding ?

Thank you for your reply.

CFD Learner

Re: Coordinate transformation for NS equations
 

Hi,

Chapter 3 of Thompson's book may help. It's available online: http://www.erc.msstate.edu/publications/gridbook/

Regards

Lionel

Re: Coordinate transformation for NS equations
 

Thanks. However, I feel that, probably even for the transport equation in a curvilinear coordinate system, people using SIMPLE method can still discritize the convective term and the diffusive term in a quite simple way, which, if I am not wrong, might be similar to those used in a Cartesian system described by Patankar and Versteeg. Hence they formulate the transport equation in a different way like the one presented in Ferziger's book.

I would be grateful if someone could shed some lights on this.

CFD Learner