The CICS is an established leader in research on mathematical modeling for multi-scale fluid mechanics over a wide spectrum of scales, ranging from the global scales of climate dynamics to flow in nanometer-scale vessels. The focus of fluids research has evolved to areas that require a broad scientific knowledge of environmental, climate, biological, and physio-chemical processes.
Research on environmental fluid mechanics includes turbulence and mixing in natural water bodies, development of ocean-atmosphere general circulation climate models, and global climate model accounting for the interactions of the atmosphere, land surface, ocean, and sea ice.
Notre Dame's research on this area also includes the theoretical description and numerical simulation of complex fluids, self-organization in active suspensions, and biological processes. Projects in multi-scale phenomena in attached and separated turbulent flows, flow-structure interactions, multiphase flows, and aerodynamics are also ongoing.
Strong emphasis is given to innovative data-driven approaches to fluid dynamical modeling using Bayesian models and deep learning. Such techniques are essential for studying flows in random media (e.g. geological media with limited information on their properties and structure), understanding and quantifying model error uncertainties, and for the design of surrogate flow models that can efficiently be integrated in the design process.
The CICS members maintain strong connections with other faculty, focusing on research in fluid mechanics within the Departments of Aerospace and Mechanical Engineering, Applied and Computational Mathematics and Statistics, Civil and Environmental Engineering and Earth Science, and Physics, as well as with the Turbomachinary Laboratory. Collaborations with groups in biological and biomedical research are rapidly expanding.