Simulation isn’t as advanced as you may think. There are particle-in-cell simulations but with a density much too low for our purposes. Then there is a parametric calculation that tells you what you might expect with different diameters and pressures and so on.
As third solution there is the LPP simulation, which simulates the plasma as a fluid (with extra quirks), because you cannot handle individual particles anymore at this density. It only simulates a single plasma filament. And it isn’t finished yet.
None of them include the shape of the DPF, except being a cylinder, or a sub-part of it.