In February 2017, I had the privilege of visiting Bhubaneswar again after a few years. I was able to spend some time visiting some of the may temples of Odisha, some of which I had visited for the first time in 1968. One such temple that I visted was Rameswara temple. I was straight away impressed by two things- a nice signboard in Odiya and English and secondly that the environs were maintained neat and clean.
Now about the background of this temple. Legend goes that when Lord Rama was returning from Lanka after victory over Ravana, Goddess Sita wanted to worship Lord Shiva here. So Rama built a Linga for that purpose.
Traditionally during Ashokashtami, which falls one day before the Rama Naumi in the month of Chaitra, Lord Lingaraja comes to this temple in a colourful procession on a large chariot called Rukuna Rath and stays here for four days before returning in the chariot to Lingaraj Temple. In this procession, bronze images of three deities―Chandrasekhar (the representative of Lord Lingaraj), Rukmini and Basudeva are taken to Rameshwar Temple
(Text with inputs from the internet)