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...
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...
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...
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...
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 (NSF) Computer and Information Science and Engineering (CISE) Federal Grant Program (CFDA 47.070) provides $559,751 to the New Jersey Institute of Technology (NJIT) to develop a scalable, open-source platform that leverages smoothed particle hydrodynamics to model complex fluid-structure interaction problems. The award supports the technical objective of creating a hardware-accelerated, parallelized software platform that can simulate...
This Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) provides $499,993 to the University of Massachusetts to investigate fluid-structure interactions (FSI) between flexible structures and inertial-viscoelastic flow. The goal is to conduct numerical simulations and synergistic experiments to understand the influence of viscoelasticity on the dynamics of flexible structures like flags, sheets, and cantilevered beams in high-Reynolds number flows....
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 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 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...