Project Grant 2206016
- The National Science Foundation (NSF) awarded a $450,000 Project Grant to the University of California, Merced to conduct a hybrid experimental and numerical study of vortex mechanics. The goal is to develop new vortex models that incorporate features like internal vortex structure and coupling to other flows, in order to improve prediction and control of fluid behavior in a wide range of contexts. This 3-year project will validate the new vortex models through experiments on streamwise vortices...
- The National Science Foundation Division of Mathematical Sciences awarded New York University a $435,000 Project Grant titled "GEOPHYSICAL WAVE-VORTEX INTERACTIONS AND TURBULENCE" under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year award beginning September 1, 2021 will support research exploring geophysical wave-vortex interactions and turbulence. The Mathematical and Physical Sciences program aims to promote progress in mathematics and physical sciences...
- The New Jersey Institute of Technology (NJIT) received a $219,663 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research from August 1, 2023 through July 31, 2026 to develop new mathematical theory and methodologies to improve the accuracy and efficiency of numerical approaches for solving large time-evolution equations, including those arising in fluid...
- This federal Project Grant award in the amount of $300,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) advances the understanding of nonlinear dispersive partial differential equations (PDEs), which serve as mathematical models for wave phenomena in diverse scientific domains. The research focuses on exploring fundamental questions related to the formation, stability, and interaction of coherent structures like solitons, vortices,...
- The National Science Foundation Division of Mathematical Sciences awarded a $359,959 Project Grant to the New Jersey Institute of Technology to support the research project "NONLINEAR RESONANT WAVE INTERACTIONS IN DENSITY-STRATIFIED FLOWS" under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). This three-year award beginning September 1, 2021 provides $359,959 in funding to NJIT to advance understanding of major problems in mathematical and physical...
- This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports the development of efficient and accurate algorithms for modeling acoustic and electromagnetic wave propagation in complex domains. The primary goals are to create robust algorithms using high-frequency integral equations, microlocal and numerical analysis, asymptotic methods, and finite element techniques. This work aims to enhance the simulation of...
- This $300,000 Project Grant was awarded on July 1, 2025 by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund research on symmetries of Floer theoretic invariants and their applications to low-dimensional topology, specifically the study of 3- and 4-dimensional spaces and mathematical knots. The principal investigator (PI) and their team at Rutgers, The State University will explore open questions related to...
- This $183,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) aims to develop mathematical models and simulations to understand the self-propulsion and collective dynamics of vertically oscillating objects that float on a fluid interface, known as "surfers". The research, conducted by the New Jersey Institute of Technology (NJIT), seeks to elucidate the underlying mechanisms driving the surfers' self-propulsion...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $149,997 to the New Jersey Institute of Technology (NJIT) to advance the modeling and simulation of spatially quasi-periodic water waves. The project aims to develop accurate and stable numerical methods for studying these complex water wave patterns in 2D and 3D, with applications in areas like tsunami detection, wave energy harvesting, and coastal protection. The research...
This $300,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), will fund research into the dynamics and scattering of vortices and vortex rings. The grantee, New Jersey Institute of Technology, will mathematically investigate phenomena in the interactions of point vortices and vortex rings, including generalized problems of leapfrogging vortices involving three or more pairs. Numerical techniques like continuation and bifurcation methods, as well as Lagrangian descriptors, will be essential given the complexity of exact solutions. Additionally, the chaotic scattering of colliding point vortex pairs will be explored using dynamical systems methods, building upon prior NSF-supported research but with even more complex dynamics due to the absence of a small parameter. This award supports the NSF's mission to advance mathematical and physical sciences knowledge and understanding of major problems through research.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/9/22 |