Problem/Issue Being Addressed: The ARIA project aims to address the challenge of accurately modeling nonlinear dynamics of unsteady multi-scale problems and related phenomena. This includes applications in industrial flow control, optimization, and computer-assisted surgery.
Importance for Society: Accurate modeling of these phenomena can lead to significant advancements in various industries, such as greener terrestrial vehicles, more efficient wind farms, and improved medical devices for patient-specific therapies. These advancements have the potential to benefit society by improving environmental sustainability and healthcare outcomes.
Overall Objectives: The overarching objective of the ARIA project is to advance the state-of-the-art in projection-based reduced-order models (ROMs) and enhance data-driven modeling techniques. This includes leveraging ideas from large eddy simulation (LES), manifold learning, solution classification and clustering, and adaptive sampling.