Title: Geometric mechanics and structure-preserving discretizations for models of physical systems
 
Abstract: Geometric mechanics formulations (variational, Hamiltonian, metriplectic, etc.) provide a powerful description of physical systems, with deep connections to fundamental features such as conservation laws and involution constraints. Structure-preserving numerical discretizations then give a pathway to constructing numerical models of geometric mechanics formulations with the same key properties. This talk will discuss the application of these ideas to fluid dynamics, and illustrate it with examples from electrodynamics and low-Mach (incompressible or semi-compressible) fluid dynamics. Additionally, there will be a short discussion on possible approaches for extending these ideas to systems with discontinuities, such as high-Mach (compressible) fluid dynamics.
 
Bio: Chris Eldred got his PhD in Atmospheric Science from Colorado State University in Fort Collins, CO. After this, he did two postdocs in France, studying applications of geometric mechanics formulations (GM) and structure-preserving discretizations (SP) to atmospheric modeling. He is currently a staff scientist at Sandia National Laboratories in Albuquerque, NM, where he works on GM/SP methods for a variety of fluid dynamical systems including geophysical fluid dynamics, compressible flow and plasma/fusion. His other research interests include uncertainty quantification, scientific machine learning and optimal control/designs, especially the application of ideas from GM/SP to these areas.
 

Zoom Information:

https://unm.zoom.us/j/99517249495

Meeting ID: 995 1724 9495
Passcode: 389601