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April 2021
Applied math. talk: Large Eddy Simulation Reduced Order Models by Traian Iliescu, Virginia Tech
In this talk, we present reduced order models (ROMs) for turbulent flows, which are constructed by using ideas from large eddy simulation (LES) and variational multiscale (VMS) methods. First, we give a general introduction to reduced order modeling and emphasize the connection to classical Galerkin methods (e.g., the finite element method) and the central role played by data. Then, we describe the closure problem, which represents one of the main obstacles in the development of ROMs for realistic, turbulent flows. …
Find out more »Jennifer Taback
Title: Groups, Graphs and Trees Abstract: What do we mean by the geometry of a group? Groups seem like very abstract objects when we first study them, and it's natural to ask whether we can visualize them in some way. Given a group with a finite set of generators and relators, I will describe a canonical way to construct a geometric model of that group, called a Cayley graph. We will see many examples -- both standard and unusual --…
Find out more »Haydee Lindo
Title and Abstract TBA
Find out more »Jennifer Franko Vasquez
Title: Puzzling Permutations Abstract: Permutations are one of the most fundamental notions in mathematics. In this talk, we will discuss a visual representation of permutations and introduce some games one can play to help "see" different properties. These puzzling games can be used to provide insight into deeper mathematical content as well. Time permitting, we will explore connections to topology and biology. This talk is based on joint work with Steven Dougherty and Michael Allocca. Dr. Vasquez is a Professor…
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