Tell me if you find a city to the east of Camulosadae on the island or are you searching for Atlantis? ;)

I think you mean west...

Chariots are absolutely useless in frontal assault or close combat encounters.

Use them almost the same way as you use standard cavalry: Hammer and Anvil.

Assault the enemy with infantry head-on, go around with your chariots and smash into them from the rear, better: smash THROUGH them from the rear! Most of the enemies will fall in the moment of impact, given the huge Charge-Bonues of your chariots combined with their mass, and the rest of the formation will be completely messed up as your chariots push them aside and cause giant gaps for your infantry to fall in. But as soon as the enemy starts to defend himself (especially if they are spearmen) your chariots will fall like flies.

If you repeat this tactics for some time or have additional scary-factors like superior numbers, flaming arrows etc. the enemy will rout very quickly when your chariots smash into them.

Cheaper levy troops rout almost immediatly (at least for me) the moment of impact when 10+ soldiers die in less than a split second.

The run-them-through-from-left-to-right tactic is also quite good, by I noticed heavier losses and easier routing if I smash from the rear (but of course that only works if you have the room to surround and not if the enemy fields thousands of men)