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holti1-Visitor
1-Visitor
August 21, 2019
Solved

PDE 2D

Hello,

I would like to calculate the two dimensional flow field w(x,y) inside  x,y element of [0;L(x,y)] described by the attached PDE:PDE.PNG

Does anyone have an idea how to solve this Problem?

 

Thanks in advance.

-MFra-Answer
21-Topaz II
August 21, 2019

Hi holti,

Try to use the Mathcad15 operator PDEsolve() which, by the way, is quite complicated . Otherwise, you should create e rutine  which uses the approximation of the given p. d. equation, by the finite differences method (after having studied the stability and the convergence of the method.).

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5 replies

-MFra-21-Topaz IIAnswer
21-Topaz II
August 21, 2019

Hi holti,

Try to use the Mathcad15 operator PDEsolve() which, by the way, is quite complicated . Otherwise, you should create e rutine  which uses the approximation of the given p. d. equation, by the finite differences method (after having studied the stability and the convergence of the method.).

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holti1-VisitorAuthor
1-Visitor
August 21, 2019

Hi MFranc,

 

thank you for your answer. I am using ptc mathcad prime 5.0.0.0. There is no PDEsolve Option, as I see in the function list.

Implicit FDM is an Option but a lot of work and sometimes unstable, unfortunately. I was hoping to find a good solver for that.

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-MFra-21-Topaz II
21-Topaz II
August 21, 2019

To examine solutions or attempts to solve partial differential equations, by community members, with pdesolve (), do a search as shown in the following figure:

search PDE.jpg

(Remark:you should better define the upper extremes of the double integral )

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terryhendicott21-Topaz II
21-Topaz II
August 21, 2019

Hi,

 

https://peer.asee.org/teaching-fluid-mechanics-using-mathcad.pdf

 

The above link may prove helpful.

 

Cheers

Terry

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