The National Science Foundation Division of Mathematical Sciences awarded a $185,579 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to The Research Foundation For The State University Of New York on behalf of Stony Brook University. The five-year award beginning June 1, 2023 will support research advancing understanding of two-dimensional fluid motion through the lens of partial differential equations, geometry, and dynamical systems. Specifically,...
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 award from the National Science Foundation (NSF) Mathematical and Physical Sciences (MPS) program, CFDA 47.049, provides $167,711 to the Research Foundation of the City University of New York (RFCUNY) - Brooklyn College to conduct research on the dynamics of fluids with singular interfaces. The project aims to develop new mathematical tools to study free-surface fluid flows, with a focus on understanding plasma confinement in fusion energy and the long-term behavior of...
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 $184,162 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on free boundary problems and phase interfaces in heterogeneous media. The project aims to advance the theory of phase interfaces by developing new techniques that connect partial differential equations, geometry, and statistical physics. The key outcomes will be: 1) a theory of large-scale regularity for free boundary and...
The National Science Foundation awarded North Carolina State University a three-year, $368,594 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical and computational tools for nonlinear hyperbolic systems of partial differential equations. The university will use the funding to design efficient high-order numerical methods for conservation and balance laws that go beyond consistency, stability, and convergence. Key activities include...
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 Division of Mathematical Sciences awarded a $219,999 Project Grant to The Research Foundation For The State University Of New York to support the project "NOVEL CHALLENGES IN NONLINEAR WAVES AND INTEGRABLE SYSTEMS" from July 15, 2021 through June 30, 2024. The grant supports research into major problems confronting the Nation within the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen...
This Project Grant award, valued at $270,195, was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports collaborative research to develop highly efficient, positivity-preserving, and entropy-stable numerical schemes for variable-temperature phase field equations with singular energy potentials. The goal is to enhance the understanding of two-phase flows and phase separation in...
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...