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Speaker: Criston Hyett, Program in Applied Mathematics
Title: Lagrangian Reduced-Order Models of Turbulence in the Age of Machine Learning
Abstract: The pervasive nature and high computational cost of turbulence hinder the design and control of a wide array of engineered systems. Moreover, despite significant progress, several fundamental aspects of turbulence phenomenology lack a complete description. Given the high computational cost of fully resolving turbulence, reduced-order models are essential to efficiently account for turbulent effects. Our work leverages physics-informed machine learning (PIML) in the Lagrangian frame, which offers unique access to fundamental physical processes, to advance both the methodology of model-order reduction and phenomenological understanding. In this talk, I will introduce essential aspects and modeling challenges of turbulence, and present our recent work on PIML approaches to Lagrangian turbulence. I will highlight unique challenges and insights in applying machine learning to turbulence datasets, and will conclude with modern perspectives on the problem and promising future directions of research.
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The *Al Scott Lecture* was instituted in remembrance of our late colleague Alwyn C. Scott (1931 – 2006) and his pioneering contributions to the field of nonlinear science. Al Scott, a native of Worcester, Massachusetts, obtained a doctorate in Electrical Engineering from MIT in 1961. During the early 1970’s his research interests led to important contributions to the then emerging field of soliton mathematics and nonlinear wave propagation. He became one of the leading figures in the new field of nonlinear science and a founding editor of Physica D, the first journal devoted to the study of nonlinear phenomena. He was very interested in the role of nonlinear dynamics in modeling biological systems and, in particular, its applications to neuroscience. In addition to many scholarly papers on a wide variety of topics he wrote several books on neuroscience and nonlinear science, and was the editor of the comprehensive Encyclopedia of Nonlinear Science published in 2005. He joined the faculty of the Mathematics Department at the University of Arizona in 1985 and became a member of the University’s Program in Applied Mathematics. He retired from the University in 2000. His many contributions to the life of both the Program in Applied Mathematics and the Department of Mathematics were characterized by a civilized and good-humored approach to academic life. He was particularly encouraging of graduate students and it is this characteristic that is the basis for the Al Scott Lecture.
The annually awarded honor is made to a senior student in the Program in Applied Mathematics as part of the Applied Mathematics colloquium series. Recent winners have been Brian Bell (2024); Bill Fries (2023); Hannah Kravitz (2022); Jess Pillow (2021); Kevin Gomez (2020); Jesse Adams (2019).