If I move 10ft between my Dimensional Dervish, could I make multiple charges with Pummeling Charge?
Hmm. Right, making a charge is full-round action, a Dimensional Dervish is full-attack action. You can't make two full-round actions in a round. I got that, that's out.
Dimensional Assault looks promising, it says "make the attack normally allowed on a charge." And that speaks a little ambiguous as to what "normally" means in a charge. But as you stated, it is also a "special charge", that alone could also mean that the feat is only meant to follow it's single purpose and cannot be intertwined with other charges.