I may have found more info on what "equations" were used.
This article states:
But before the Army carved up the spoils, it gave Farhat and his team
a chance to harness a significant slice of Excalibur's massive
computational cake and demonstrate the power of algorithms to solve
large-scale equations.
The team succeeded far beyond Farhat's last endeavor.
"The last time we'd had access to a large machine like this one, we
probably ran our algorithms on about 3,000 processors," Farhat said,
referring to the computations that helped his team win a 2002 Gordon
Bell Prize from the Institute of Electrical and Electronics Engineers.
"Now we ran on 22,000."
Of course I can't be certain, but it seems they may have been using the software/algorithms/calculations they used when they won a Gordon Bell award in 2002. [0]
An excerpt from "Salinas: A Scalable Software for High-Performance Structural and Solid Mechanics Simulations" [1]
To the best of our knowledge, Salinas is today the only FE software
capable of computing a dozen eigen modes for a million-dof FE
structural model in less than 10 minutes. Given the pressing need for
such computations, it is rapidly becoming the model for parallel FE
analysis software in both academic and industrial structural
mechanics/dynamics communities
It appears that they cut that from 10 minutes (3,000 processors) to under 3 minutes (22,000 processors) using the Army Research Laboratory's new Cray XC40.
[0] http://www.supercomp.org/sc2002/news_nrp_conclude.html
[1] https://www-it.desy.de/common/documentation/cd-docs/SC2002/p...