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 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 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....
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...
The National Science Foundation awarded a $224,923 project grant to the University of Notre Dame under the Mathematical and Physical Sciences program (CFDA 47.049) to develop adaptive time-stepping methods for coupled fluid-structure interaction and fluid-porous medium problems from August 15, 2022 to July 31, 2025. The university will focus on creating monolithic and partitioned numerical methods using the recast Cauchy-one legged theta-like method with a variable time step for fluid-porous...
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 program (CFDA 47.049) provides $300,000 in funding to the University of Pittsburgh to conduct research on mathematical analysis of partial differential equations (PDEs) governing fluid flow and related phenomena. The research aims to develop new techniques to analyze multi-dimensional conservation laws and their applications in fluid dynamics and geometry. Specific focus areas include...
This $559,751 Project Grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program supports the development of a scalable, open-source platform for modeling complex fluid-structure interaction problems. The project aims to enhance the accuracy and computational performance of particle methods, enabling experimentally validated models for real-world scenarios in aerospace, renewable energy, and healthcare. Key objectives include...
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...