Best way to perform a paramatric study for a wing

I am performing a parametric study on a wing.

On Solidworks, I see there is an ability to create a parametric study.  What's the best way to conduct a parametric study, making sure that meshing doesn't affect quality?

If I optimize a mesh for a "default" state, the mesh for other configurations would be affected.

Also, how can I determine whether the results generated are mesh dependent or not.  With parametric study, there is no way to pull up the log for that particular run.

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