Finite Difference Methods in CFD

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 September 20, 2014, 12:19 Finite Difference Methods in CFD #1 New Member   British Columbia Join Date: Sep 2014 Posts: 4 Rep Power: 3 Hello every one, I am new CFD student and I need you help to solve this problem Last edited by Warda; September 21, 2014 at 12:32.

 September 20, 2014, 13:10 #2 Senior Member     Alex Join Date: Jun 2012 Location: Germany Posts: 1,160 Rep Power: 19 So what exactly is your question?

 September 20, 2014, 14:11 #3 New Member   British Columbia Join Date: Sep 2014 Posts: 4 Rep Power: 3 I need help to write the second order finite difference discretiation and to find f . thank you

 September 20, 2014, 16:50 #4 Senior Member     Alex Join Date: Jun 2012 Location: Germany Posts: 1,160 Rep Power: 19 I guess you mean In two-dimensional cartesian coordinates (x and y) this unfolds to The derivatives can now be replaced with some finite difference formula, e.g. second order central differences for node i,j: ...solve for This sounds like some sort of homework so I hope this helps you how to start with it. Just a hint: The task is finding u, not f. f should be given. From a fluid dynamics point of view, this task is the discretization of the steady flow of an incompressible medium through a circular pipe. f is the force or pressure gradient (multiplied by some factor) driving the flow while u is the axial velocity. Last edited by flotus1; September 20, 2014 at 17:59.

 September 20, 2014, 23:10 #5 New Member   British Columbia Join Date: Sep 2014 Posts: 4 Rep Power: 3 Actually, this is a part of my homework which I'm trying to do, but I'm having great difficulty because I'm not good at math. If you like to help me please explain to me in detail how the solution.

 September 20, 2014, 23:17 #6 Member   kabilan.B Join Date: Jul 2010 Location: chennai Posts: 79 Rep Power: 7 excuse me sir, in this, you explained ' f ' as diffusive or dp/dx, am i right? thank you sir.

 September 21, 2014, 05:06 #7 Senior Member     Alex Join Date: Jun 2012 Location: Germany Posts: 1,160 Rep Power: 19 I dont feel like doing other peoples homework And I dont think it would serve any purpose if you copied the solution. If you show some effort people here will help you with specific problems. But nobody will write down the full solution for you, especially since solutions to this problem can be found through google. FMDenaro likes this.

 September 21, 2014, 12:27 #8 New Member   British Columbia Join Date: Sep 2014 Posts: 4 Rep Power: 3 Thank you

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