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Recent progress in discrete exterior calculus for fluids

Event Type
Seminar/Symposium
Sponsor
Mechanical Science and Engineering
Location
3100 Sidney Lu Mechanical Engineering Building
Date
Mar 22, 2024   12:00 pm  
Speaker
Christopher Eldred, Computational Mathematics Department, Sandia National Laboratories
Contact
Amy Rumsey
E-Mail
rumsey@illinois.edu
Phone
217-300-4310
Views
22

Abstract

Geometric mechanics formulations (GM; variational, Hamiltonian, metriplectic) are a fundamental tool for building physics-based models of many systems, including fluid dynamics. Structure-preserving (SP) discretizations (also known as mimetic or compatible) enable numerical models of GM systems that have discrete analogues of key properties, including conservation laws and involution constraints. This talk will discuss recent progress in discrete exterior calculus (DEC) schemes for fluids, which are a type of staggered finite-volume SP discretization. These advances include higher-order Hodge stars, treatment of arbitrary boundary conditions and structure-preserving, high-order, oscillation-limiting, bounds-preserving (SPHOOL-BP) transport operators.

About the Speaker 

Christopher Eldred is a Senior Member of Technical Staff at Sandia National Laboratories in the Computational Mathematics Department. He works on geometric mechanics formulations and structure-preserving discretizations for a variety of physical systems, including both neutral and charged fluid dynamics models. Recently, he has also started working on structure-preserving reduced order modeling and uncertainty quantification.

Host: Professor Theresa Saxton-Fox

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