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Coordinate transformation for NS equations

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Old   June 2, 2004, 08:34
Default Coordinate transformation for NS equations
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CFD Learner
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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
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Old   June 2, 2004, 08:57
Default Re: Coordinate transformation for NS equations
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Lionel Larcheveque
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Hi,

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

Regards

Lionel
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Old   June 2, 2004, 18:44
Default Re: Coordinate transformation for NS equations
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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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