Adjoint version of Nek5000

[Alfred Tawiah]

Hi all,

I am a grad student working on adjoint-based sensitivity analysis for turbulent channel flow. I have got Nek5000 v19 up and running with the turbChannel example and am now looking to move into adjoint computations.

I want to know if there is a stable adjoint implementation available in the base Nek5000 v19 distribution.

Any pointers would be much appreciated!

Thanks.

[YuHsiang Lan]

Hi,

Nek5000 does support linearized Navier-Stokes with a given based flow and perturbations.

  https://nek5000.github.io/NekDoc/theory.html?highlight=perturb#linearized-equations

That should give you some idea of how to evaluate the convection term.

With the proper inputs, you can also become it's adjoint. (e.g., advabp_adjoint in perturb.f)

You might also want to look into this if you want to perform linear stability analysis and get the eigenmodes.

  https://nekstab.github.io/

Hope this helps,

Yu-Hsiang

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[Philipp Schlatter]

there is also the KTH Framework: https://github.com/KTH-Nek5000/KTH_Framework

with the corresponding paper: https://doi.org/10.1016/j.cpc.2024.109249

That also includes adjoint.

Best regards,
philipp

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