High-Throughput materials modeling based on Density Functional Theory has become very popular recently. If, for example, we search "High-Throughput Perovskites" in Google Scholar, we get over ~14,000 results. Not all are computational and not all are peer-reviewed publications but it shows just how important High Performance Computing is in current materials research. Needless to say, The Materials Project and AFLOW are big players in the High-Throughput Materials Simulation game. There is even a database for Topological Insulators and Weyl Semimetals
However I am not aware of a database or High-Throughput study that is completely focused on the discovery of high $T_C$ superconductors. Can anyone point me toward some references? Are there any studies of this kind at all?