Police say David Alun Lewis lived with his parents in Ystrad Mynach, but would sometimes visit Cardiff and stay at the Huggard Centre.
His parents have paid tribute to him:
This is so sad. We love David so much and our lives will never be the same again.
We can’t believe such a thing has happened to our son.
The last known sighting of Mr Lewis was around 7.45pm on Wednesday walking along Penarth Road near the Big Yellow Storage opposite a BMW garage.
Police are still appealing for witnesses, and say they want to speak to anyone who was near the Taff Embankment between 7.45pm and 11.45pm on Wednesday.
More top news
It'll be a mainly dry but chilly night for most of us with a risk of patchy frost, fog and low cloud later.
Ched Evan's fiancé Natasha Massey talks for the first time about why she has stood by him for the last five years.
Leanne Wood has said she accepts the referendum result but that it has left Wales with a weak position for negotiation.