From the Discovery Channel's description of the Dagorhir segment:
Dagorhir (which translates to "battle lords" in author J.R.R. Tolkien's Sindarin Elven language) is both a sport and a game that combines fast-paced, full-contact combat simulation with elements of live-action role-playing. Dagorhir battle games combine elements of both history and fantasy, allowing participants a wide range of character choice.
The segment is one of six which also include:
- Lawnmower Racing
- Alligator Wrestling
- Chess Boxing
- Tug Fest
- Catfish Grabblin'
So far, the "Catfish Grabblin'" seems to have sparked the most interest.

Actually, it's in the 2nd episode
I don't know where you got your information from, but according to Discovery's website, Dagorhir will be featured in the episode airing on January 13th. There are only 3 segments per show, not 6, so you've combined the first 2 episodes into 1 on your site here.
2nd episode
Justin