This $349,518 project grant awarded on June 15, 2024 by the National Science Foundation (NSF) Division of Mathematical Sciences will develop new algorithms for simulating the evolution of the internal structure (microstructure) of polycrystalline materials, such as metals and ceramics, during manufacturing processes like heat treatment. The research aims to address the need for accurate, efficient, and flexible numerical methods to model the motion of grain boundaries - a key determinant of a material's physical properties. The project will take a new approach by exploiting connections between level set methods and threshold dynamics algorithms to enable modeling of arbitrary, anisotropic surface tensions and mobilities. The resulting software will be made available to the broader scientific community, and the award will also support the training of one graduate student working towards a Ph.D. in mathematics. No subawards are planned under this NSF Mathematical and Physical Sciences (CFDA 47.049) program grant.
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