How fluid is the glass? Ie fully pouring or creeping: so fluid or nearly solid?
Asuming the glass is a liquid. If you want to apply a force which can be countered by the fluid then you'll need to code up how the moving block behaves. If you just want to move at a set rate it'll be easier. You can then look at remeshing/layering. There are a couple of videos in Help covering this in Fluent. You may also require VOF to track the edges of the domain.
If the glass is more solid have a look at the fluid elements in Mechanical as it may be more suitable.
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