Once the adaptive mesh has been formed you can copy it to other studies by dragging and dropping. Grab the 'mesh' item from the simulation tree and drag it to the tab for the study you wish to copy it to. Your cursor will turn from a circle with a line through it to an arrow, indicating you've found a valid place to drop the simulation object. After you drop the mesh SW will switch to the new study. SW can be a little finicky about dragging and dropping, you might want to 'show mesh' in the new study to confirm it actually transferred.
Dragging and dropping is a quick way to copy lots of simulation inputs (mesh, loads, materials, etc.) from study to study.