This $170,913 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support the development of efficient numerical tools to model incompressible multiphase flows applied to magnetohydrodynamics. The principal investigator at the University of Houston will use theoretical and computational mathematics to analyze and develop high-order numerical methods for solving nonlinear partial differential equations governing fluid dynamics with space-time dependent coefficients. These methods will be integrated into the SFEMANS massively parallel code and applied to problems in liquid metal batteries, geophysics, and magnetohydrodynamics. Objectives include modeling multiphase mechanisms in liquid metal batteries for grid-scale energy storage, as well as transitioning the SFEMANS code to current high-performance computing standards for distribution to the scientific community. The work directly supports the program's goals of advancing mathematical and physical sciences knowledge and understanding major issues facing the nation, such as developing renewable energy technologies and grid-scale storage solutions.
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