Structure identification in pipe flow using proper orthogonal decomposition

Leo H.O. Hellström; Alexander J. Smits

doi:10.1098/rsta.2016.0086

Structure identification in pipe flow using proper orthogonal decomposition

Leo H.O. Hellström, Alexander J. Smits

Mechanical & Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

The energetic motions in direct numerical simulations of turbulent pipe flow at Re_τ = 685 are investigated using proper orthogonal decomposition. The procedure is extended such that a pressure component is identified in addition to the three-component velocity field for each mode. The pressure component of the modes is shown to align with the streamwise velocity component associated with the large-scale motions, where positive pressure coincides with positive streamwise velocity, and vice versa. The streamwise evolution of structures is then visualized using a conditional mode, which exhibit a strong similarity to the large-scale, low-momentum motions. A low-pressure region is present in the downstream section of the structure, and a high-pressure region is present in the upstream section.

Original language	English (US)
Article number	20160086
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	375
Issue number	2089
DOIs	https://doi.org/10.1098/rsta.2016.0086
State	Published - Mar 13 2017

All Science Journal Classification (ASJC) codes

Engineering(all)
Physics and Astronomy(all)
Mathematics(all)

Keywords

Coherent structures
Turbulence
Wall bounded flow

Access to Document

10.1098/rsta.2016.0086

Cite this

@article{af7aedcde2334961848d070b48dccdc0,

title = "Structure identification in pipe flow using proper orthogonal decomposition",

abstract = "The energetic motions in direct numerical simulations of turbulent pipe flow at Reτ = 685 are investigated using proper orthogonal decomposition. The procedure is extended such that a pressure component is identified in addition to the three-component velocity field for each mode. The pressure component of the modes is shown to align with the streamwise velocity component associated with the large-scale motions, where positive pressure coincides with positive streamwise velocity, and vice versa. The streamwise evolution of structures is then visualized using a conditional mode, which exhibit a strong similarity to the large-scale, low-momentum motions. A low-pressure region is present in the downstream section of the structure, and a high-pressure region is present in the upstream section.",

keywords = "Coherent structures, Turbulence, Wall bounded flow",

author = "Hellstr{\"o}m, {Leo H.O.} and Smits, {Alexander J.}",

note = "Funding Information: This work was supported under ONR grant no. N00014-15-1-2402 (Program Manager Ron Joslin). Publisher Copyright: {\textcopyright} 2017 The Author(s) Published by the Royal Society. All rights reserved.",

year = "2017",

month = mar,

day = "13",

doi = "10.1098/rsta.2016.0086",

language = "English (US)",

volume = "375",

journal = "Philosophical transactions. Series A, Mathematical, physical, and engineering sciences",

issn = "0962-8428",

publisher = "Royal Society of London",

number = "2089",

}

TY - JOUR

T1 - Structure identification in pipe flow using proper orthogonal decomposition

AU - Hellström, Leo H.O.

AU - Smits, Alexander J.

N1 - Funding Information: This work was supported under ONR grant no. N00014-15-1-2402 (Program Manager Ron Joslin). Publisher Copyright: © 2017 The Author(s) Published by the Royal Society. All rights reserved.

PY - 2017/3/13

Y1 - 2017/3/13

N2 - The energetic motions in direct numerical simulations of turbulent pipe flow at Reτ = 685 are investigated using proper orthogonal decomposition. The procedure is extended such that a pressure component is identified in addition to the three-component velocity field for each mode. The pressure component of the modes is shown to align with the streamwise velocity component associated with the large-scale motions, where positive pressure coincides with positive streamwise velocity, and vice versa. The streamwise evolution of structures is then visualized using a conditional mode, which exhibit a strong similarity to the large-scale, low-momentum motions. A low-pressure region is present in the downstream section of the structure, and a high-pressure region is present in the upstream section.

AB - The energetic motions in direct numerical simulations of turbulent pipe flow at Reτ = 685 are investigated using proper orthogonal decomposition. The procedure is extended such that a pressure component is identified in addition to the three-component velocity field for each mode. The pressure component of the modes is shown to align with the streamwise velocity component associated with the large-scale motions, where positive pressure coincides with positive streamwise velocity, and vice versa. The streamwise evolution of structures is then visualized using a conditional mode, which exhibit a strong similarity to the large-scale, low-momentum motions. A low-pressure region is present in the downstream section of the structure, and a high-pressure region is present in the upstream section.

KW - Coherent structures

KW - Turbulence

KW - Wall bounded flow

UR - http://www.scopus.com/inward/record.url?scp=85012950132&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85012950132&partnerID=8YFLogxK

U2 - 10.1098/rsta.2016.0086

DO - 10.1098/rsta.2016.0086

M3 - Article

C2 - 28167580

AN - SCOPUS:85012950132

SN - 0962-8428

VL - 375

JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

IS - 2089

M1 - 20160086

ER -

Structure identification in pipe flow using proper orthogonal decomposition

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this