I would like to create an STL file from the geometry simulated. I know that I can export the geometry under this format. Is there any options that could be setup for the stl file like the precision?
There are no explicit STL precision controls, but the standard mesh Accuracy tool determines the mesh resolution if you already have a simulation (meshed). You will need to make sure the mesh is visible on faces according to "View a Mesh", prior to exporting.
Without a simulation the visualization facets on shaded faces can be exported as STL too. Note the facets controls apply globally.