ADI and mixed derivatives

HaKu · April 14, 2009, 13:58

Hey
i want to know how to make a program for crank nicholson scheme using ADI. i want to extend the program from the noraml derivatives to cross derivative terms.. i know how to do it for simple derivatives but how can i incorporate the mixed derivative term in tridaignal form, i have no clue... if anybody has any algorithm tht shows how to apply this or a good read or paper will be helpful..

regards

alpana agarwal · May 9, 2009, 13:43

I came across this problem recently. I think you are talking about d2u/dxdy kind of terms. They are usually included in the source term. If you are using FVM, then a good reference would be:

An Introduction to Computational Fluid Dynamics- The Finite Volume Method- H K Versteeg and W Malalasekera

This is given in the appendix.

April 14, 2009, 13:58	ADI and mixed derivatives	#1
HaKu Senior Member Hassan Join Date: Apr 2009 Posts: 106 Rep Power: 18	Hey i want to know how to make a program for crank nicholson scheme using ADI. i want to extend the program from the noraml derivatives to cross derivative terms.. i know how to do it for simple derivatives but how can i incorporate the mixed derivative term in tridaignal form, i have no clue... if anybody has any algorithm tht shows how to apply this or a good read or paper will be helpful.. regards

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May 9, 2009, 13:43		#2
alpana agarwal New Member Alpana Agarwal Join Date: May 2009 Posts: 1 Rep Power: 0	I came across this problem recently. I think you are talking about d2u/dxdy kind of terms. They are usually included in the source term. If you are using FVM, then a good reference would be: An Introduction to Computational Fluid Dynamics- The Finite Volume Method- H K Versteeg and W Malalasekera This is given in the appendix.