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Lagrangian Transport and Chaos in the Near Wake of the Flow Around an Obstacle: a Numerical Implementation of Lobe Dynamics : Volume 4, Issue 3 (30/11/-0001)

By Duan, J.

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Book Id: WPLBN0004019883
Format Type: PDF Article :
File Size: Pages 12
Reproduction Date: 2015

Title: Lagrangian Transport and Chaos in the Near Wake of the Flow Around an Obstacle: a Numerical Implementation of Lobe Dynamics : Volume 4, Issue 3 (30/11/-0001)  
Author: Duan, J.
Volume: Vol. 4, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Wiggins, S., & Duan, J. (-0001). Lagrangian Transport and Chaos in the Near Wake of the Flow Around an Obstacle: a Numerical Implementation of Lobe Dynamics : Volume 4, Issue 3 (30/11/-0001). Retrieved from http://hawaiilibrary.net/


Description
Description: Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634. In this paper we study Lagrangian transport in the near wake of the flow around an obstacle, which we take to be a cylinder. In this case, for the range of Reynolds numbers investigated, the flow is two-dimensional and time periodic. We use ideas and methods from transport theory in dynamical systems to describe and quantify transport in the near wake. We numerically solve the Navier-Stokes equations for the velocity field and apply these methods to the resulting numerical representation of the velocity field. We show that the method of lobe dynamics can be used in conjunction with computational fluid dynamics methods to give very detailed and quantitative information about Lagrangian transport. In particular, we show how the stable and unstable manifolds of certain saddle-type stagnation points on the cylinder, and one in the wake, can be used to divide the flow into three distinct regions, an upper wake, a lower wake, and a wake cavity. The significance of the division using stable and unstable manifolds lies in the fact that these invariant manifolds form a template on which the transport occurs. Using this, we compute fluxes from the upper and lower wakes into the wake cavity using the associated turnstile lobes. We also compute escape time distributions as well as compare transport properties for two different Reynolds numbers.

Summary
Lagrangian transport and chaos in the near wake of the flow around an obstacle: a numerical implementation of lobe dynamics

 

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