This $350,000 federal Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports fundamental research by the University of Texas at Austin to develop accurate mathematical models and computer simulations related to non-equilibrium systems with memory effects, such as those found in biosystems, fusion reactors, and solar energy storage. The research aims to advance computational approaches to...
The University of Texas at El Paso received a $124,989 project grant award from the National Science Foundation Division of Mathematical Sciences on September 1, 2021 to complete on August 31, 2024. The grant supports collaborative research on numerical methods and adaptive algorithms for sixth-order phase field models under the Mathematical and Physical Sciences program (CFDA 47.049). The program aims to promote progress in mathematical and physical sciences to strengthen the nation's...
This three-year, $237,648 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support the development of structure-preserving hybrid finite element methods. The principal investigator will investigate techniques for capturing fundamental physical laws like conservation and dissipation within simulations performed using finite element methods. Specifically, the research will focus on circumventing barriers to local structure...
This $401,620 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant will fund theoretical and computational research by the University of Texas at Austin into two key areas: 1) the behavior and characteristics of supersonic cracks in solids, which has implications for understanding earthquake dynamics, and 2) modeling and predicting fingering instabilities in two-phase fluid flow, with...
This $399,583 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research to develop numerical algorithms that can estimate solutions to partial differential equations (PDEs) without full boundary condition information. The research aims to enable improved modeling and forecasting capabilities across various applications, including meteorology, biology, and engineering design.
The primary awardee, Texas...
This Project Grant award, valued at $270,195, was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports collaborative research to develop highly efficient, positivity-preserving, and entropy-stable numerical schemes for variable-temperature phase field equations with singular energy potentials. The goal is to enhance the understanding of two-phase flows and phase separation in...
This National Science Foundation Project Grant of $249,068 supports computational and theoretical research on the interaction between spin-lattice dynamics in paramagnetic iron at high pressures and temperatures. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the research team at the University of Texas at El Paso will develop machine learning models and evolutionary computation techniques to efficiently simulate phonon dispersion relations while accounting for...
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...
This National Science Foundation (NSF) Geosciences (CFDA 47.050) Project Grant award to the New Mexico Institute of Mining and Technology (New Mexico Tech) is funding the development of new computational methods to simulate and advance the understanding of the dynamic interplay between Earth's surface and interior processes. The $123,880 award, running from September 1, 2024 through August 31, 2028, will couple two widely used open-source community software packages - ASPECT and LANDLAB - to...
This $426,013 National Science Foundation project grant supports experimental research on nonequilibrium thermodynamics at the University of Texas at Dallas through July 2025. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award will test the validity of the Onsager reciprocal relation under conditions that violate its foundational assumptions, such as large temperature differences qualifying as far-from-equilibrium. Researchers will explore the extent to which...