Project Grant 2607685
- 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...
- Federal Project Grant Award Summary The University of Pittsburgh received a $372,882 Project Grant from the National Science Foundation's Division of Chemical, Bioengineering, Environmental, and Transport Systems (Engineering program, CFDA 47.041) effective February 1, 2026 through January 31, 2029. This research project will develop data-enabled, physics-guided computational frameworks and diagnostic tools to uncover fundamental mechanisms governing energy transfer in turbulent fluid flows....
- Federal Grant Award Summary The University of Pittsburgh received a $543,305 Project Grant from the National Science Foundation's Division of Chemical, Bioengineering, Environmental, and Transport Systems (CFDA 47.041 - Engineering program) beginning February 1, 2026 and concluding January 31, 2029. The project delivers computational research and simulation capabilities addressing turbulent fluid dynamics through hybrid quantum-classical computing approaches. Specifically, the research adapts...
- The University of Pittsburgh received a $300,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) awarded on August 1, 2025, with a completion date of July 31, 2028. This research project develops advanced mathematical methods and techniques for analyzing nonlinear partial differential equations (PDEs) governing fluid flows and related phenomena. The primary deliverables include novel analytical approaches...
- Federal Project Grant Award Summary The University of Pittsburgh received a $328,712 Project Grant awarded July 15, 2025, through the Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). This award supports fundamental research in geometric function theory, focusing on the analysis, geometry, and topology of mappings and functions with limited differentiability, including convex functions, Sobolev functions, and Lipschitz and...
- The University of Pittsburgh received a $424,546 project grant award from the National Science Foundation Division of Mathematical Sciences on July 15, 2021 to support work on the TIME ACCURATE PREDICTION OF FLUID MOTION project through June 30, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these scientific fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing...
- 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,...
- The University of Pittsburgh is the recipient of a $420,000 project grant awarded by the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program. The goal of this 3-year project is to advance the state-of-the-art in modeling and computation of multiphysics systems that model the physical interactions between two or more media, such as fluid flows, porous media, and elastic structures. The project consists of developing new mathematical models, designing stable...
- The University of Pittsburgh was awarded a $375,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of July 1, 2021 through June 30, 2024. The grant funds mathematical and computational modeling of interaction between fluids and poroelastic structures. The Mathematical and Physical Sciences program aims to promote progress in these fields to strengthen the nation's scientific...
- Federal Project Grant Award Summary The National Science Foundation's Engineering program (CFDA 47.041) awarded the University of Pittsburgh $325,089 on August 15, 2025, to investigate how collective active migration of small marine organisms generates large-scale flow structures and contributes to ocean mixing. Over the three-year project period (through July 31, 2028), the research will deliver controlled laboratory experiments and analytical findings examining the mechanisms by which swarms...
The University of Pittsburgh received a $400,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) effective July 1, 2026, through June 30, 2029, to develop novel surface and trace finite element methods for simulating incompressible fluid flows on curved surfaces. The research delivers next-generation mathematical and algorithmic computational tools designed to accurately model fluid dynamics in biotechnology, biomedical engineering, and advanced materials applications—including biological membranes, drug-delivery vesicles, lung fluid coatings, biofilms, and complex fluid interfaces. The primary deliverables include structure-preserving finite element methods that exactly preserve key physical laws such as mass conservation, eliminating reliance on artificial stabilization parameters that compromise robustness and predictive capability in existing simulation models. The project advances two complementary computational methodologies: (1) construction of divergence-free and tangential surface finite element spaces based on Scott-Vogelius pairs adapted to curved surfaces using novel Piola-type mappings that maintain optimal convergence without superparametric geometry approximations, and (2) development of a divergence-free unfitted TraceFEM (Trace Finite Element Method) for incompressible viscous surface flows that enforces surface incompressibility exactly. These improved simulation tools will enhance the reliability and accuracy of computational modeling critical to biotechnology research and innovation while reducing dependence on ad hoc numerical tuning, thereby supporting federal objectives in advancing mathematical sciences and strengthening the nation's scientific enterprise.Federal Grant Award Summary
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $400.0k | 6/2/26 |