Project Grant 2510261
- 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 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...
- This $286,976 National Science Foundation project grant supports research at Tufts University to quantify viscoelastic fluid flows through porous media and determine how microstructure affects macroscopic flow and transport properties. The NSF Division of Chemical, Bioengineering, Environmental, and Transport Systems awarded the funding under the Engineering program (CFDA 47.041) to study stability and dispersion of viscoelastic flows through porous materials. Key outcomes include establishing...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on problems in fluid dynamics. The principal investigator (PI) will investigate the global stability of solutions to the Peskin problem (modeling blood flow through heart valves) and the Muskat problem (modeling the interaction of immiscible fluids in porous media). Additionally, the PI will construct large-amplitude steady solutions to...
- 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...
- The National Science Foundation (NSF) awarded a $229,999 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to New York University (NYU) to conduct collaborative research on hydromechanical sprinklers and flow-driven fluid-solid systems. The 3-year project aims to advance the understanding and modeling of forces and motions generated by fluid injection/withdrawal in open structures, with potential applications in renewable energy systems like wind, water, and wave...
- 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...
- This $450,000 Project Grant award from the National Science Foundation's (NSF) Engineering program (CFDA 47.041) supports research by the New Jersey Institute of Technology (NJIT) to investigate the elastic properties of fluids confined in nanoporous materials and their impact on wave propagation. The project aims to develop a molecular theory to quantify the effects of fluid confinement on elastic properties like compressibility, and apply this to improve models of wave propagation in...
- 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...
- This Project Grant award of $303,199 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program aims to develop new and efficient numerical methods for solving fluid-structure interaction (FSI) and fluid-poroelastic structure interaction (FPSI) problems. The key technical goals of this 3-year project at Clemson University include: Formulating and analyzing a monolithic system to establish well-posedness, stability, and finite element error estimates for these coupled...
This $200,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research to advance the understanding of coupled fluid-structure interactions within porous media, such as biological tissues connected to larger fluid networks. The project aims to improve prediction and control of these complex multiscale systems, which are essential for applications including organ perfusion modeling, bioartificial organ design, and preventing tissue damage. By integrating advanced mathematical analysis with multiscale modeling, the research focuses on optimal control and well-posedness in systems that couple fluid flow through deformable, porous media and hydraulic networks. This award reflects NSF's mission to advance scientific knowledge and support research with potential for broader societal and technological impacts.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/8/25 |