Minisymposium Presentation

Given their pervasive occurrence in science and engineering, obtaining solutions to Partial Differential Equations (PDEs) is of paramount importance across multiple domains. However, numerically solving PDEs often presents significant challenges, especially in multi-physics contexts or for problems requiring simultaneous high-resolution and large-scale analysis. In this talk, I will present instances of real-world problems in science and engineering where the synergy of advanced numerical methods, state-of-the-art software implementations, and high-performance hardware enable the high-fidelity modeling of complex physics at scale. Case studies include fracture and fragmentation of large-scale structures under impact loading, the complex dynamics of flexible fibers sedimenting in viscous flow, and the large-deformation mechanics of novel architected materials exposed to extreme environments. In each case, the resulting simulations provide unique physical insights that would be otherwise unattainable, thus enabling analyses of engineering significance.