On the relationships between local vortex identification schemes

Pinaki Chakraborty, S. Balachandar, Ronald Adrian

Research output: Contribution to journalArticle

541 Citations (Scopus)

Abstract

We analyse the currently popular vortex identification criteria that are based on pointwise analysis of the velocity gradient tensor. A new measure of spiralling compactness of material orbits in vortices is introduced and using this measure a new local vortex identification criterion and requirements for a vortex core are proposed. The interrelationships between the different criteria are explored analytically and in a few flow examples, using both zero and non-zero thresholds for the identification parameter. These inter-relationships provide a new interpretation of the various criteria in terms of the local flow kinematics. A canonical turbulent flow example is studied, and it is observed that all the criteria, given the proposed usage of threshold, result in remarkably similar looking vortical structures. A unified interpretation based on local flow kinematics is offered for when similarity or differences can be expected in the vortical structures educed using the different criteria.

Original languageEnglish (US)
Pages (from-to)189-214
Number of pages26
JournalJournal of Fluid Mechanics
Volume535
DOIs
StatePublished - Jul 25 2005
Externally publishedYes

Fingerprint

Vortex flow
vortices
Kinematics
kinematics
Turbulent flow
Tensors
Identification (control systems)
parameter identification
Orbits
thresholds
void ratio
turbulent flow
tensors
orbits
gradients
requirements

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

On the relationships between local vortex identification schemes. / Chakraborty, Pinaki; Balachandar, S.; Adrian, Ronald.

In: Journal of Fluid Mechanics, Vol. 535, 25.07.2005, p. 189-214.

Research output: Contribution to journalArticle

Chakraborty, Pinaki ; Balachandar, S. ; Adrian, Ronald. / On the relationships between local vortex identification schemes. In: Journal of Fluid Mechanics. 2005 ; Vol. 535. pp. 189-214.
@article{3564c345b70d46c399cff51e1cb1ba80,
title = "On the relationships between local vortex identification schemes",
abstract = "We analyse the currently popular vortex identification criteria that are based on pointwise analysis of the velocity gradient tensor. A new measure of spiralling compactness of material orbits in vortices is introduced and using this measure a new local vortex identification criterion and requirements for a vortex core are proposed. The interrelationships between the different criteria are explored analytically and in a few flow examples, using both zero and non-zero thresholds for the identification parameter. These inter-relationships provide a new interpretation of the various criteria in terms of the local flow kinematics. A canonical turbulent flow example is studied, and it is observed that all the criteria, given the proposed usage of threshold, result in remarkably similar looking vortical structures. A unified interpretation based on local flow kinematics is offered for when similarity or differences can be expected in the vortical structures educed using the different criteria.",
author = "Pinaki Chakraborty and S. Balachandar and Ronald Adrian",
year = "2005",
month = "7",
day = "25",
doi = "10.1017/S0022112005004726",
language = "English (US)",
volume = "535",
pages = "189--214",
journal = "Journal of Fluid Mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

TY - JOUR

T1 - On the relationships between local vortex identification schemes

AU - Chakraborty, Pinaki

AU - Balachandar, S.

AU - Adrian, Ronald

PY - 2005/7/25

Y1 - 2005/7/25

N2 - We analyse the currently popular vortex identification criteria that are based on pointwise analysis of the velocity gradient tensor. A new measure of spiralling compactness of material orbits in vortices is introduced and using this measure a new local vortex identification criterion and requirements for a vortex core are proposed. The interrelationships between the different criteria are explored analytically and in a few flow examples, using both zero and non-zero thresholds for the identification parameter. These inter-relationships provide a new interpretation of the various criteria in terms of the local flow kinematics. A canonical turbulent flow example is studied, and it is observed that all the criteria, given the proposed usage of threshold, result in remarkably similar looking vortical structures. A unified interpretation based on local flow kinematics is offered for when similarity or differences can be expected in the vortical structures educed using the different criteria.

AB - We analyse the currently popular vortex identification criteria that are based on pointwise analysis of the velocity gradient tensor. A new measure of spiralling compactness of material orbits in vortices is introduced and using this measure a new local vortex identification criterion and requirements for a vortex core are proposed. The interrelationships between the different criteria are explored analytically and in a few flow examples, using both zero and non-zero thresholds for the identification parameter. These inter-relationships provide a new interpretation of the various criteria in terms of the local flow kinematics. A canonical turbulent flow example is studied, and it is observed that all the criteria, given the proposed usage of threshold, result in remarkably similar looking vortical structures. A unified interpretation based on local flow kinematics is offered for when similarity or differences can be expected in the vortical structures educed using the different criteria.

UR - http://www.scopus.com/inward/record.url?scp=22944432555&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22944432555&partnerID=8YFLogxK

U2 - 10.1017/S0022112005004726

DO - 10.1017/S0022112005004726

M3 - Article

AN - SCOPUS:22944432555

VL - 535

SP - 189

EP - 214

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -