# Coordinate transformation for NS equations

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 June 2, 2004, 08:34 Coordinate transformation for NS equations #1 CFD Learner Guest   Posts: n/a 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

 June 2, 2004, 08:57 Re: Coordinate transformation for NS equations #2 Lionel Larcheveque Guest   Posts: n/a Hi, Chapter 3 of Thompson's book may help. It's available online: http://www.erc.msstate.edu/publications/gridbook/ Regards Lionel

 June 2, 2004, 18:44 Re: Coordinate transformation for NS equations #3 CFD Learner Guest   Posts: n/a 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

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