Euler's Equations on NEk5000

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Byron Guerrero

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Dec 4, 2020, 1:48:01 AM12/4/20
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Dear Neks,

I was wondering whether it is possible to solve Euler's Equations in Nek. (i.e. is it possible to get rid of the viscous term of the 3D NSE?).

Best,
Byron

Jason Hackl

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Feb 9, 2021, 1:20:42 PM2/9/21
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Potential flow solutions over boundary conditions made up of flow singularities are usually the most interesting solutions to the incompressible Euler equations. I don't know how to set up nek5000 as a potential flow solver, but I'm sure if you search for "potential flow" something will come up.

I wrote an extension to nek5000 for discontinuous Galerkin solution of the compressible Euler equations that was used by the University of Florida for a little while. It was called CMT-nek. and there is still a version of it stuck in master (core/cmt and short_tests/CMT/inviscid_vortex).  An interesting developmental version exploiting some recently discovered features of summation-by-parts operators is still on my GitHub page.

If you are interested in this at all, I can push some major improvements to the artificial viscosity scheme I tried to develop for shock capturing. It still needs some work, but I think nek5000 has potential as a compressible Navier-Stokes solver in the same spirit as the FLEXI project at the University of Stuttgart.

Light Young

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Jul 25, 2022, 2:05:27 PM7/25/22
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Dear Byron,

Have you found the answer to this question?   Do you know how to set up nek5000 as a potential flow solver?

Best,
YL
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