text needed in FINITE DIFFERENCE METHOD 1

[alaaonline]

Hi all,
I'd be grateful if any body can recommend me any text (text book or so ever) for solving circular plates via FINITE DIFFERENCE METHOD ? specially if it would be supported with illustrative numerical examples...

 

[rb1957]

have you tried googling "finite difference method" or "finite difference method circular plate" ?

there seemed to be lots of relevant hits.

another day in paradise, or is paradise one day closer ?

 

[Tunalover]

The Finite Difference Method is for 2D problems but the Finite Volume Method is for 3D problems. Any graduate CFD text will cover the method quite well since most grad course CFD problems are 2D.

H. Bruce Jackson
ElectroMechanical Product Development
UMD 1984
UCF 1993

 

[IceBreakerSours]

Although I have no real-world experience with FDM, I really enjoyed reading first section of John Anderson's book entitled Computational Fluid Dynamics - The Basics with Applications. It is an excellent book for an engineer. I am not sure what you mean by "solving circular plates" but this book discusses the FDM in detail for a beginner.

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[goeasyon]

The finite difference method seems not the best fit for the circular plate problem, due to the non-straight boundary. If there is no specific reason for choosing FDM, you could try the finite element method.

https://welsim.com

 

[alaaonline]

comrades, thanks a lot for all your responses , they were really supportive and directive...

 

[alaaonline]

by the way , solving circular plates means figuring out the deformations (deflections) , straining actions and reactions on the mean-plane of a circular plate!

 

[Tunalover]

The finite difference method seems not the best fit for the circular plate problem, due to the non-straight boundary. If there is no specific reason for choosing FDM, you could try the finite element method.

Not really. FEA has no advantage over the FDM or FVM with curved geometry (unless FEA codes now have elements with curved edges. If that's the case then curved elements must be a VERY recent development).

CFD using FDM/FVM are better-suited for any problems with moving fluids, especially heat transfer problems with convection. FEA forces the user to make WAGs on convection coefficients which the user must apply surface-by-surface. WAG boundary conditions lead to WAG results! Junk In = Junk Out. CFD using FDM or FVM does not need convection boundary conditions since it solves the equations of fluid motion and heat transfer together.

I know of just one CFD code that uses FEA and that is CFDesign. I wasted weeks on that code trying to get solutions on meshes so unwieldy that the solution times were on the order of hours. I found it to be extremely difficult to keep mesh densities manageable and frankly couldn't get much done with it, even with CFDesign Tech Support.


H. Bruce Jackson
ElectroMechanical Product Development
UMD 1984
UCF 1993

 

[goeasyon]

Good to know this, thank you Tunalover.

https://welsim.com

 

[alaaonline]

Well said
tunalover