Officially, the only way to determine the correct mesh resolution is by doing a sensitivity study. If you want to estimate a reasonable mesh, consider the general guidelines:
1. The mesh should be fine enough to properly resolve your geometry.
2. The cells should be cubes or very close to cubes.
3. The size of the cells should be 0.1 - 0.2 of the characteristic fire diameter based on heat release rate. (
calculator)
That should get you in the right ballpark. Often, 0.2 of D* gives a finer resolution that people were hoping for. If you want to ignore guideline #3, you can also do runs with smaller and smaller cells to find the resolution where the answer converges (a mesh sensitivity study).