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September 20, 2014, 12:19 |
Finite Difference Methods in CFD
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#1 |
New Member
British Columbia
Join Date: Sep 2014
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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. |
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September 20, 2014, 13:10 |
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#2 |
Super Moderator
Alex
Join Date: Jun 2012
Location: Germany
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So what exactly is your question?
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September 20, 2014, 14:11 |
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#3 |
New Member
British Columbia
Join Date: Sep 2014
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I need help to write the second order finite difference discretiation and to find f . thank you
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September 20, 2014, 16:50 |
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#4 |
Super Moderator
Alex
Join Date: Jun 2012
Location: Germany
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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. |
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September 20, 2014, 23:10 |
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#5 |
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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.
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September 20, 2014, 23:17 |
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#6 |
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kabilan.B
Join Date: Jul 2010
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excuse me sir,
in this, you explained ' f ' as diffusive or dp/dx, am i right? thank you sir. |
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September 21, 2014, 05:06 |
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#7 |
Super Moderator
Alex
Join Date: Jun 2012
Location: Germany
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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. |
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September 21, 2014, 12:27 |
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#8 |
New Member
British Columbia
Join Date: Sep 2014
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Thank you
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