What does Rudra mean?
From Sanskrit rudra (रुद्र), the fierce Vedic storm deity whose name is traditionally derived from a root meaning 'to roar/cry'; it is a well-known epithet of Shiva. A divine name with connotations of awe-inspiring power.
What does Neel mean?
From the Sanskrit नील (nīla), 'dark blue, indigo, sapphire'. A genuine classical colour word, also the root of 'neelam' (sapphire). Note: the similar-looking English/Irish name Neil (from Gaelic Niall) is a separate, unrelated name.