This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $161,282 to Clemson University to develop novel mathematical methodologies and approximation theories for analyzing coupled fluid-structure interaction systems. The research aims to establish existence and uniqueness of solutions, ascertain qualitative solution behavior, and provide implementable numerical approximation schemes for multilayered fluid-structure...
The National Science Foundation awarded a $150,193 Project Grant to the University of South Carolina under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into non-local partial differential equations in collective dynamics and fluid flow from August 1, 2023 through July 31, 2028. Specifically, the university will study three families of partial differential equations with non-local structures to model collective behavior and fluid dynamics....
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $294,473 to the University of South Carolina to develop and analyze efficient, robust, and accurate structure-preserving linear schemes for simulating diffuse-interface models of incompressible two-phase flows with matched densities. The key research activities include: 1) developing and analyzing energy-stable, decoupled linear schemes for fluid dynamics...
This $120,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Georgia to develop nonlinear control and observer designs for flow-transport systems. The three-year award beginning August 15, 2022 will fund the investigation of feedback control approaches to understand mass transport, fluid mixing, and their asymptotic behaviors in flow advection. The research aims to advance knowledge of...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $124,157 to the College of New Jersey (TCNJ) to develop open-source numerical software and complementary educational materials that elucidate the fluid dynamics of biological and bioinspired filtering arrays. The project aims to 1) develop gridless methods to resolve flows through filtering structures, 2) test force spreading operators for the immersed boundary...
This $319,951 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences, supports the development and analysis of new computational methods for studying complex fluid systems on deforming surfaces. The key products and services to be delivered through this 3-year award include: Developing and analyzing a finite element method for tangential fluid systems on moving surfaces, a multi-component surface flow problem, and a fluid-elastic interface model to...
This $170,164 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on the fluid dynamics of organisms filtering particles at the mesoscale. The primary awardee, the University of Tennessee, will develop open-source numerical software to elucidate the fluid dynamics of biological and bioinspired filtering arrays, including how the behavior of active particles affects filtering outcomes. The...
The University of South Carolina received a $150,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete the project by June 30, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems. Specifically, the funding will support...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $303,199 to Clemson University to develop new and efficient numerical methods for solving fluid-structure interaction (FSI) and fluid-poroelastic structure interaction (FPSI) problems. The research aims to enhance simulation capabilities across diverse applications from hemodynamics to subsurface flow by formulating a monolithic system, deriving...
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...