Event Detail

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

Speaker Info

OSU Department of Mechanical Engineering

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.