Nano-scale transistors fill warehouse-scale supercomputers, yet their performance still constrains the development of the jets that defend us and the renewable energy sources that will power our generation into the next. Bryngelson's research develops computational models and methods for fluid dynamics and solid mechanics problems to push these applications forward. He and his research team accompany methods with algorithms crafted to make efficient use of the latest exascale machines and computer architectures, including AMD GPUs, Arm CPUs, FPGAs, and quantum computers. They develop open-source software for these methods that scale to the world’s largest supercomputers.