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The Delta is usually proportional to the grid size, L/NX. I have been using Delta = twice the grid size (FGR=2, Filter width to grid size ratio).
Pavel's paper analyzes FGR in Appendix B1 for decaying turbulence. They use FGR=\sqrt(6) https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2023MS003771
I plan to do a similar analysis for py2d at some point, and we can find an optimum FGR for our system. For now, you can consistently use the same FGR across all your runs.
py2d/py2d/Py2D_solver.py
Line 115 in d2ab972
Checking @gyf135 code,
Definition of$\Delta$ here seems to be wrong
It should be
or for 2DHIT case to
to match
https://github.com/envfluids/2D-DDP/blob/0542ca9dfeed3948b452d1307b85fddad6e82c25/physics-based%20codes/SMAG/F2DHIT_DSMAG.py#L80
@jakharkaran can you confirm this and it's downstream effects?
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