Helicity and geometric nature of particle trajectories in homogeneous isotropic turbulence

Yeontaek Choi; Yongnam Park; Changhoon Lee

doi:10.1016/j.ijheatfluidflow.2009.12.003

Helicity and geometric nature of particle trajectories in homogeneous isotropic turbulence

Yeontaek Choi, Yongnam Park, Changhoon Lee

Department of Computational Science and Engineering

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

9 Citations (Scopus)

Abstract

The role of helicity in Lagrangian turbulence is investigated using direct numerical simulation of homogeneous isotropic turbulence. Probability density functions and autocorrelations along a fluid particle trajectory associated with geometric quantities such as curvature and torsion of the Lagrangian trajectory are provided. The relationship between helicity and the ratio of torsion to curvature is investigated. We found that probability density functions of torsion and torsion normalized by curvature clearly show well-established slope in log-log plots. Finally, the relationship between helicity, acceleration and geometric quantities are discussed.

Original language	English
Pages (from-to)	482-487
Number of pages	6
Journal	International Journal of Heat and Fluid Flow
Volume	31
Issue number	3
DOIs	https://doi.org/10.1016/j.ijheatfluidflow.2009.12.003
Publication status	Published - 2010 Jun

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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title = "Helicity and geometric nature of particle trajectories in homogeneous isotropic turbulence",

abstract = "The role of helicity in Lagrangian turbulence is investigated using direct numerical simulation of homogeneous isotropic turbulence. Probability density functions and autocorrelations along a fluid particle trajectory associated with geometric quantities such as curvature and torsion of the Lagrangian trajectory are provided. The relationship between helicity and the ratio of torsion to curvature is investigated. We found that probability density functions of torsion and torsion normalized by curvature clearly show well-established slope in log-log plots. Finally, the relationship between helicity, acceleration and geometric quantities are discussed.",

author = "Yeontaek Choi and Yongnam Park and Changhoon Lee",

year = "2010",

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AU - Choi, Yeontaek

AU - Park, Yongnam

AU - Lee, Changhoon

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N2 - The role of helicity in Lagrangian turbulence is investigated using direct numerical simulation of homogeneous isotropic turbulence. Probability density functions and autocorrelations along a fluid particle trajectory associated with geometric quantities such as curvature and torsion of the Lagrangian trajectory are provided. The relationship between helicity and the ratio of torsion to curvature is investigated. We found that probability density functions of torsion and torsion normalized by curvature clearly show well-established slope in log-log plots. Finally, the relationship between helicity, acceleration and geometric quantities are discussed.

AB - The role of helicity in Lagrangian turbulence is investigated using direct numerical simulation of homogeneous isotropic turbulence. Probability density functions and autocorrelations along a fluid particle trajectory associated with geometric quantities such as curvature and torsion of the Lagrangian trajectory are provided. The relationship between helicity and the ratio of torsion to curvature is investigated. We found that probability density functions of torsion and torsion normalized by curvature clearly show well-established slope in log-log plots. Finally, the relationship between helicity, acceleration and geometric quantities are discussed.

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