[ishan_ae]

I am automating some of my meshing needs using Python and I am trying to understand how the online blockMesh grading calculator works: https://openfoamwiki.net/index.php/S...ng_calculation.

I have the following known quantities:

1. The first cell height

1. The last cell height

1. The height of the boundary layer

I want to find the following unknown quantities:

1. The cell-to-cell growth ratio

1. The number of cells

Using the standard formulas for geometric progression, I derived the following formulas for and :

1. 

1. 

Using these formulas, my calculations don't match with the blockMesh grading script. What I have found is that the value of from the online tool is much more accurate than my calculations. Is it because the script may be using bisection method for root finding ?

I am wondering where I am going wrong because these formulas are a result of simple re-arrangement of standard formulas.