What parameters do you usually use to find if the solution is grid independent?
Check the quantity differences on different mesh density. If very few exists, it is grid independent.
I think, normally, the overall mesh size is changed to check the effect on cell count.
BUT, in my opinion, it is much more important, to change the grid density on "important" areas.
That are areas in your domain, where
1.: you have interesting parameters, like a certain velocity or a (local or integral) heat transfer. Parameters, that are the aim of your study.
2.: high gradients of the flow quantities appear. Like having a big temperature difference or high velocities close to a wall
So: my suggestion is to change the grid density in particular in these areas for checking the grid independence.
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