There seems to be a fundamental confusion about modeling tools used.
In the WTC Towers report (NCSTAR1-6D, to be specific), the models used to estimate progression to failure were run using ANSYS, not LS-DYNA. LS-DYNA was used, instead, in the aircraft impact simulations -- a much more similar scenario to the WTC 7 collapse model.
LS-DYNA is a totally different type of model, essentially a transient model whereas ANSYS is a static model. It therefore can handle free bodies and collisions without failure to converge, but it does so at a spiraling cost in complexity. I imagine the WTC 7 model was ground-breaking in its size, and would have been impractical to run in 2004. LS-DYNA analyses are also prone to large uncertainties, since minor changes in the early stages of a dynamic situation will propagate throughout the problem.
Today, LS-DYNA could be used to model the WTC Towers collapses, much like WTC 7 was, but that was never a requirement on the team. Nobody (except a few irrelevant lunatics) needs that kind of detail to understand the collapses of the Towers. A far, far simpler model suffices to prove that they were inevitable, as femr2 would discover if he'd actually use his model properly, rather than just brag about it.
To complain that the ANSYS models "should be made to converge" in an inherently unstable situation, as a poster in this thread has done, betrays a total lack of understanding. It just can't do that. You can get closer to the point of instability by increasing your modeling fidelity, but you do so at a staggering additional cost, for virtually no improvement in results.