My understanding is that TWRP is the supported recovery for our phone and that CWM was a port from another phone. I also believe that the devs who ported CWM to our phone have left for other devices so it may not be developed on anymore. Also, some problems have shown up that may possibly be related to CWM. Many have encountered some pretty large problems flashing roms and mods that use the aroma installer.
With all this said, just stick with the recovery that is supported - TWRP
EDIT: A DVD file? Maybe you downloaded the wrong thing. Try downloading goo manager from the play store. Open it up, hit menu, and install OpenRecoveryScript