My son Jeff quizzed me about the round bottom versus flat bottom comments. I am glad he did! I had not been on that site yet. It is a very interesting read. I also enjoyed the pictures and downloaded them for future reference.
I am not an engineer, aerodynamics expert, or even a good student sometimes, but I do have some experience in this arena. Our car was first designed with rounded lower sides from the belly pan to the side panels. I ran over 230 mph with it at the World Finals in 1992, the first year it ran. It seemed to handle well, but when Jeff started driving in '97 (on worse salt I would add) there was a big problem. It would spin the wheels @ about 215 mph and immediately spin. I personally believe that the spins were induced by over correction, but I was not in the seat so that is just my analysis. Never the less it tried to fly when side ways. I have video of the second spin which I slowed down and watched frame by frame. when the car was broadside to the course, the front wheels were two to three feet off the ground. (The first two spins were snap spins, once around and on down the course)
For the World Finals, we added 500 lbs of weight just behind the front axle to move the center of gravity forward and stabilize the car. I made the first run at the World Finals on a very bad course. The car moved around on the course when spinning the tires, but stayed straight . After a couple of runs, we broke a front suspension arm when it hit a hole in the turn out area. We repaired the arm and removed half the weight. That was a mistake...this time when it spun, it was a lazy spin and the second time around it went over twice.
On the rebuild, after it crashed in '97 on it's third spin, I got rid of the rounded lower panels and put skirting on the sides. This created enough down force under the car I had to reinforce the belly pan because it was being sucked down forward of the engine. At the same time I added a spoiler to the rear. The car now sticks to the course like glue, does not spin the wheels and goes straight, even on the 2005 course. Things may change, but at present I vote for the flat bottom with skirts.