DescriptionStudying continuum dynamics problems computationally can illuminate complex physical phenomena where experimentation is too costly. However, the models used in studying these phenomena usually require intensive calculations, some of which are beyond even the largest supercomputers to date. Emerging high performance computing (HPC) platforms will likely have varied levels of heterogeneity, making hybrid programming with MPI+X essential for achieving optimal performance. This research investigates hybrid programming and unconventional approaches like machine learning for a next generation hydrodynamics code, FleCSALE, in the context of tabular equation of state (EOS). We demonstrate an overall 5x speedup to the code, the use of GPUs to accelerate EOS tabular interpolation, and a proof of concept machine learning approach to EOS.