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08-21-2019
07:15 AM

08-21-2019
07:15 AM

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:

Does anyone have an idea how to solve this Problem?

Thanks in advance.

Solved! Go to Solution.

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08-21-2019
07:28 AM

08-21-2019
07:28 AM

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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08-21-2019
07:28 AM

08-21-2019
07:28 AM

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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08-21-2019
07:41 AM

08-21-2019
07:41 AM

Re: PDE 2D

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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08-21-2019
08:05 AM

08-21-2019
08:05 AM

Re: PDE 2D

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

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

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08-23-2019
08:37 AM

08-23-2019
08:37 AM

Re: PDE 2D

Hello MFranc

I have finally accepted that I have to approach it by 2D FDM.

This is the preliminary result for 2 Dirichlet BC's and 2 Neumann BC's with a constant force:

Thank you!

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08-21-2019
08:23 AM

08-21-2019
08:23 AM

Re: PDE 2D

Hi,

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

The above link may prove helpful.

Cheers

Terry