This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $748,840 to The Pennsylvania State University under the Mathematical and Physical Sciences program (CFDA 47.049) from September 1, 2022 to August 31, 2025. The funding supports research into partial differential equations modeling incompressible fluids and elastic solids, with a focus on fluid-structure interaction problems, transport of vectors by fluid flow, and seismic fault monitoring. The...
The University of Pittsburgh was awarded a three-year $338,526 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to develop structure-preserving finite element methods for incompressible fluid flow modeling applications. Under the award, set to run from July 2023 through June 2026, the University will conduct research focused on improving existing divergence-conforming finite element methods for solving Navier-Stokes equations...
This Project Grant from the National Science Foundation's Division of Information and Intelligent Systems, under the Computer and Information Science and Engineering program (CFDA 47.070), provides $269,343 to the University of California, San Diego for research exploring geometric approaches to physical simulations. The award aims to develop new computational methods using non-Euclidean geometry to more accurately simulate turbulent fluids and solve partial differential equations on infinite...
This $308,031 three-year Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on the nonlinear electrohydrodynamics of motile particles in confinement. The project aims to develop mathematical models, analytical solutions, and computational methods to understand the behavior of micron-sized colloidal particles driven to rotate or roll by electric fields between two planar electrodes. The research integrates...
This three-year, $368,549 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental mathematical research into free boundaries in fluid mechanics at Carnegie Mellon University. Key products include advancing understanding of contact line dynamics at triple interfaces through verification of a continuum model, as well as constructing and analyzing traveling wave solutions to the viscous Navier-Stokes equations to build on...
This three-year, $226,333 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at Brown University on computer-assisted proofs in fluid mechanics and applications. The award will advance methods for pursuing singularities or global existence in incompressible fluids, and apply techniques to long-standing problems in spectral geometry and mathematical physics. Researchers will utilize numerical computations,...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $122,002 to the University of South Carolina to develop novel mathematical tools to analyze the long-time behaviors of coupled biology-fluid systems and transport-type equations arising in biological phenomena. The key products and services to be delivered under this 3-year award, running from August 1, 2024 to July 31, 2027, include: Exploring the delicate...
This $304,957 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports a 5-year research effort at Williams College to investigate the fundamental science behind the dynamics of fluid surfaces in constrained geometries. The research team will employ high-speed videography, microscopy, and digital image processing to quantify and gain new insights into the interplay between surface tension, viscosity, flow, and...
This $138,009 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports a collaborative research project at New York University (NYU) on the fundamental problems of singularities in 3D incompressible fluid flows and Navier-Stokes equations. The project integrates theoretical mathematical analysis, numerical simulations, and machine learning techniques to advance understanding of fluid flow singularities. The five...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $244,828 to Clemson University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research into domain decomposition methods for coupled models of non-Newtonian fluids and solid structures. Specifically, the award will fund development of parallel, accurate and efficient decoupling algorithms based on global-in-time non-overlapping domain decomposition for...