Time marching in incomprerssible flow
There was a discussion a while back about how CFX treats unsteady incompressible NavierStokes equations.
The question was that as the Time marching methods cannot be applied directly to incompressible flows because the governing equations are not hyperbolic so whether CFX uses an artificial compressibility method in order to treat the inviscid fluxes using the traditional characteristicsbased schemes. I have searched CFX manual I had no luck finding any info regarding time marching for incompressible flow I wonder if u can shed some light on this, I am interested in mathematics because if we know how this is being dealt with CFX then we can make better judgment about our results Thanks Al 
CFX uses backward eular scheme for the transient term, either first or second order. You can march this out in time just fine. CFX does not use artificial compressibility.
This is all described in the theory documentation. 
GHORROCKS,
I know u from your previous posts, that u have a vast knowledge of the toolso please help me understand this u are saying that the solution is not done differently in case of compressible and incompressible how the time marching is applied on a continiuity equation that has only space variables also if u can please point me to the some reference that CFX uses for its solver in other posts, I saw that u mentioned pressure and velocity are fully coupled in CFX is that why there is no need for artificail compressibility If so please tell me how pressure and velocity are coupled for the incompressible casethanks 
Obviously there are differences when compressibility is activated, but that is just to allow the density to vary. See the doco for details.
Everything you are asking is discussed in the CFX Theory manual. 
Quote:
I have spent a month reviewing literature and cfx manual along with fluent documentation Finally I know some basics from all of these I can tell that CFX uses pressurebased coupled solvers but I can not find much about the math on any of these manualfluent offers more info Now I like to go deeper and would like to know some kind of clasical ref where CFX was developed based upon  to be honest with in my search I came up with so many articles on this topic but I like to get closer to the one that CFX uses this is very critical for me since my dissertation will not go forward if I can not answer question on CFX solver theory 
The CFX solver is not as well documented as Fluent. Also, as it is a little unusual it is hard to find information about how it works. The documentation is pretty good and the references it links to are important too. Also the CFX solver is based on one developed for an old CFD code called TASCFlow. You might find more information on documentation for tascflow.

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