In a way this is a groove with a bit of a Jazzy feel to it. There are many situations where you can use this type of groove.
The most important thing is to get a natural feel with the way your hands move on the snare. Start very slow and never forget you need to play time! This groove contains a lot of motion, but you have to realise that what I am playing on snare feels like a groove played on ride cymbal, bassdrum and snare!
Check out this groove and pay attention to the basics # 1 - 3 for the right instruments techniques and sound approach!