Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Date/Time: 
Friday, April 20, 2012 - 05:00
Location: 
GLK 113

Speaker Info

Institution: 
OSU Department of Mechanical Engineering
Abstract: 

In the last decade the notion of Lagrangian coherent structures (LCS) as
transport barriers in unsteady fluid flows has evolved from dynamical
systems theory, and has proven its utility in understanding a number of
mixing and transport problems. Typically, computation of the LCS involves
post processing of experimentally or numerically obtained fluid velocity
fields to obtain a sequence of flow maps (vector fields which describe
displacement patterns over a finite time interval), and can be prohibitively
expensive for large-scale complex flows of engineering interest. In this
talk I will discuss an alternative approach, which is to compute the LCS on
the fly during direct numerical simulation (DNS) of the 3D Navier-Stokes
equations. This changes the problem size restriction for LCS analysis from
``how much time do you have?'' to ``how big of a problem can you
simulate?''. Illustrative examples will be presented to demonstrate the
capability, advantages, and challenges of the proposed approach.