Project Grant 2208219
- This $229,965 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Notre Dame focused on developing mathematical theory and numerical methods for the diffuse interface method applied to coupled fluid dynamics systems. Over a three year period from September 2022 through August 2025, the grantee will study a hierarchy of coupled flow models including fluid-porous medium interaction,...
- The University of Pittsburgh was awarded a $225,000 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) to develop adaptive time-stepping methods for coupled fluid-structure interaction 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 for fluid-porous medium problems described by the Stokes-Darcy system,...
- 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...
- Federal Project Grant Award Summary The University of Notre Dame received a $240,000 project grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025 through July 31, 2028. The award supports the development of a novel functional spatial regression framework that integrates physics-informed modeling with data-driven analysis through partial differential equations (PDEs). The...
- 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 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 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 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 Project Grant from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,272 to Penn State University for collaborative research on adaptive mixed-dimensional modeling and simulation of porous media from August 1, 2022 to July 31, 2025. The research aims to develop stable numerical methods for simulating flow in fractured porous media based on mixed-dimensional modeling approaches. Key products include advanced...
- 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...
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 medium systems described by the Stokes-Darcy equations. Partitioned methods will also be developed for thin and thick fluid-structure interaction problems. Graduate students will be trained. Conservation properties of coupled transport equations will be investigated. The proposed techniques aim to enable more accurate and efficient computational modeling of multi-physics problems including contaminant transport in hydrological systems.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $224.9k | 8/2/22 |