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 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 National Science Foundation project grant of $167,505 will fund research on data assimilation techniques for turbulent fluid flows from July 2022 to June 2025 at the University of Nebraska-Lincoln. Under the Mathematical and Physical Sciences program (CFDA 47.049), the grant supports the development and testing of new algorithms to incorporate observational data into mathematical models of complex multi-scale phenomena like weather, ocean dynamics, and groundwater flow. Specifically, the...
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 $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research by Duke University into fundamental aspects of the dynamics of incompressible fluids. The research project spans three main directions: investigating the formation of singularities in incompressible fluids, studying steady solutions to the incompressible Euler equation, and examining the phenomenon of fluid mixing. The project aims to advance...
This National Science Foundation (NSF) Mathematical and Physical Sciences program Project Grant, with CFDA number 47.049, totaling $203,648.00, provides funding to Purdue University from August 15, 2024 to July 31, 2027. The award supports the development of a mathematical framework to derive tractable reduced-order models that effectively capture the dynamics of complex turbulent systems, such as atmospheric and oceanic flows, controlled plasma fusion, and other engineering applications. The...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 to conduct fundamental research on mathematical models that describe complex interactions, growth, and motion in irregular environments with stochastic unpredictability. The goal is to discover general mathematical laws that govern such systems, which have implications for a wide range of real-world phenomena including traffic, communication networks,...
This $350,000 federal Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The goal of the research is to develop accurate mathematical models and computer simulations for studying non-equilibrium systems with memory effects, such as those found in biosystems, plasma evolution, and solid-state nanostructures. The Principal Investigator will focus on analytical and numerical approaches to statistical transport...
The National Science Foundation (NSF) awarded a $536,019 Project Grant under the Computer and Information Science and Engineering (CFDA 47.070) program to the University of Notre Dame's Notre Dame Research division. The grant funds the development of new software that can significantly reduce computational time and storage requirements for climate and weather modeling, which are critical for understanding future climate change impacts. The software will leverage advancements in applied...
This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CFDA 47.070) program supports research to develop physics-guided generative artificial intelligence models for inverting chaotic advection-diffusion dynamics. The research aims to enable more accurate source identification from limited observations of complex physical processes like pollution transport, virus spread, and wildfire evolution, which are...