Direct assessment of vorticity alignment with local and nonlocal strain rates in turbulent flows

Peter E. Hamlington; Jög Schumacher; Werner J.A. Dahm

doi:10.1063/1.3021055

Direct assessment of vorticity alignment with local and nonlocal strain rates in turbulent flows

Peter E. Hamlington, Jög Schumacher, Werner J.A. Dahm

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

64 Scopus citations

Abstract

A direct Biot-Savart integration is used to decompose the strain rate into its local and nonlocal constituents, allowing the vorticity alignment with the local and nonlocal strain rate eigenvectors to be investigated. These strain rate tensor constituents are evaluated in a turbulent flow using data from highly resolved direct numerical simulations. While the vorticity aligns preferentially with the intermediate eigenvector of the combined strain rate, as has been observed previously, the present results, for the first time, clearly show that the vorticity aligns with the most extensional eigenvector of the nonlocal strain rate. This, in turn, reveals a significant linear contribution to the vortex stretching dynamics in turbulent flows.

Original language	English (US)
Article number	111703
Journal	Physics of Fluids
Volume	20
Issue number	11
DOIs	https://doi.org/10.1063/1.3021055
State	Published - 2008
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.3021055

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title = "Direct assessment of vorticity alignment with local and nonlocal strain rates in turbulent flows",

abstract = "A direct Biot-Savart integration is used to decompose the strain rate into its local and nonlocal constituents, allowing the vorticity alignment with the local and nonlocal strain rate eigenvectors to be investigated. These strain rate tensor constituents are evaluated in a turbulent flow using data from highly resolved direct numerical simulations. While the vorticity aligns preferentially with the intermediate eigenvector of the combined strain rate, as has been observed previously, the present results, for the first time, clearly show that the vorticity aligns with the most extensional eigenvector of the nonlocal strain rate. This, in turn, reveals a significant linear contribution to the vortex stretching dynamics in turbulent flows.",

author = "Hamlington, {Peter E.} and J{\"o}g Schumacher and Dahm, {Werner J.A.}",

note = "Funding Information: P.E.H. and W.J.A.D. acknowledge support from the Air Force Research Laboratory (AFRL) through the Michigan-AFRL Collaborative Center for Aeronautical Sciences (MACCAS) under Award No. FA8650-06-2-3625, and by the National Aeronautics & Space Administration (NASA) Marshall and Glenn Research Centers under the NASA Constellation University Institutes Project (CUIP) under Grant No. NCC3-989. J.S. acknowledges support by the German Academic Exchange Service (DAAD) and the Heisenberg Program of the Deutsche Forschungsgemeinschaft (DFG). The simulations have been carried out at the J{\"u}lich Supercomputing Centre (Germany) within the Deep Computing Initiative of the DEISA Consortium.",

year = "2008",

doi = "10.1063/1.3021055",

language = "English (US)",

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T1 - Direct assessment of vorticity alignment with local and nonlocal strain rates in turbulent flows

AU - Hamlington, Peter E.

AU - Schumacher, Jög

AU - Dahm, Werner J.A.

N1 - Funding Information: P.E.H. and W.J.A.D. acknowledge support from the Air Force Research Laboratory (AFRL) through the Michigan-AFRL Collaborative Center for Aeronautical Sciences (MACCAS) under Award No. FA8650-06-2-3625, and by the National Aeronautics & Space Administration (NASA) Marshall and Glenn Research Centers under the NASA Constellation University Institutes Project (CUIP) under Grant No. NCC3-989. J.S. acknowledges support by the German Academic Exchange Service (DAAD) and the Heisenberg Program of the Deutsche Forschungsgemeinschaft (DFG). The simulations have been carried out at the Jülich Supercomputing Centre (Germany) within the Deep Computing Initiative of the DEISA Consortium.

PY - 2008

Y1 - 2008

N2 - A direct Biot-Savart integration is used to decompose the strain rate into its local and nonlocal constituents, allowing the vorticity alignment with the local and nonlocal strain rate eigenvectors to be investigated. These strain rate tensor constituents are evaluated in a turbulent flow using data from highly resolved direct numerical simulations. While the vorticity aligns preferentially with the intermediate eigenvector of the combined strain rate, as has been observed previously, the present results, for the first time, clearly show that the vorticity aligns with the most extensional eigenvector of the nonlocal strain rate. This, in turn, reveals a significant linear contribution to the vortex stretching dynamics in turbulent flows.

AB - A direct Biot-Savart integration is used to decompose the strain rate into its local and nonlocal constituents, allowing the vorticity alignment with the local and nonlocal strain rate eigenvectors to be investigated. These strain rate tensor constituents are evaluated in a turbulent flow using data from highly resolved direct numerical simulations. While the vorticity aligns preferentially with the intermediate eigenvector of the combined strain rate, as has been observed previously, the present results, for the first time, clearly show that the vorticity aligns with the most extensional eigenvector of the nonlocal strain rate. This, in turn, reveals a significant linear contribution to the vortex stretching dynamics in turbulent flows.

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Direct assessment of vorticity alignment with local and nonlocal strain rates in turbulent flows

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ASJC Scopus subject areas

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