water works / service fittings
RioHyde has already specified the compression type of fitting that I'd recommend you use.
I'm not sure what "name" you are looking for as there are so many names or tradenames used for a specific fitting or type of fittings.
So for the general category of fitting you want a water works or service fitting. The two popular brands I use are FORD (ford meter box) and McDonald (A.Y. McDonald) fittings.
The fittings on the Left are the Ford "pack joint" / McDonald "Mac-Pak" fittings with the rubber compression gaskets, friction rings and has a restraint clamp built into the nut. The fittings on the Right are Ford "grip-joint" fittings with the same gasket and friction ring, but uses a split bronze ring that bites into the pipe for restraint. The top center fittings are just plain brass compression / dresser couplings, but they are not approved for water service use in my area as they do not have any restraint built into the fitting. Not Pictured are Ford "quick joint" / McDonald "T compression" and "Q compression" fittings that look similar to the grip joint fittings externally but use a rubber compression ferrule with a stainless steel band on the inside middle of the ferrule for restraint.
Any of these fitting should be available at a plumbing supply or the utilities supply where you would get the corporations stops, meters and setters, saddles, curb stops........ They are available for both CTS and IPS so be sure to specify what you want.