Lagrangian statistics in turbulent channel flow

Choi, Jung Il; Yeo, Kyongmin; Lee, Chang‐Hoon

doi:10.1063/1.1644576

Cited by 89 publications

(68 citation statements)

References 34 publications

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“…Gerashchenko et al (2008)). Choi et al (2004) and Lee et al (2004) investigated the nature of intermittency of the Lagrangian accelerations especially in near-wall regions of the TBL. They found strong anisotropies for the x-and y-component for y ?…”

Section: Introductionmentioning

confidence: 99%

Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV

et al. 2010

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Coherent structures and their time evolution in the logarithmic region of a turbulent boundary layer investigated by means of 3D space-time correlations and time-dependent conditional averaging techniques are the focuses of the present paper. Experiments have been performed in the water tunnel at TU Delft measuring the particle motion within a volume of a turbulent boundary layer flow along a flat plate at a free-stream velocity of 0.53 m/s at Re h = 2,460 based on momentum thickness by using time-resolved tomographic particle image velocimetry (PIV) at 1 kHz sampling rate and particle tracking velocimetry (PTV). The obtained data enable an investigation into the flow structures in a 3D Eulerian reference frame within time durations corresponding to 28 d/U. An analysis of the time evolution of conditional averages of vorticity components representing inclined hairpin-like legs and of Q2-and Q4-events has been performed, which gives evidence to rethink the early stages of the classical hairpin development model for high Reynolds number TBLs. Furthermore, a PTV algorithm has been applied on the time sequences of reconstructed 3D particle image distributions identifying thousands of particle trajectories that enable the calculation of probability distributions of the three components of Lagrangian accelerations. Abbreviations DNS

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Section: Introductionmentioning

confidence: 99%

Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV

et al. 2010

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“…In each spatial direction the methods investigated use N data points to construct a polynomial function of degree N − 1 for the interpolation. For Hermite interpolation we use the method suggested by Choi et al [13], who employ Hermite interpolation on multiple spatial points. For the B-spline interpolation the method of van Hinsberg et al [8] is used.…”

Section: Interpolation Methodsmentioning

confidence: 99%

“…We will introduce different practical methods for computing these errors, and will investigate the following interpolation methods: Lagrange interpolation, spline interpolation, Hermite interpolation, and B-spline interpolation. For Hermite interpolation we use the method suggested by Choi et al [13] who employed Hermite interpolation on multiple spatial points. For the B-spline interpolation the method of Van Hinsberg et al [8] is used.…”

Section: Introductionmentioning

confidence: 99%

“…In the latter case interpolations are used to improve image resolution. Besides the optimization of interpolation algorithms (accuracy, efficiency), the impact of different interpolation methods on physical phenomena, like particle transport, has been investigated in many studies [13,[18][19][20][21][22][23]. To our knowledge, the direct comparison between the interpolation and the discretization error to make an optimal choise for the interpolation method has not yet been systematized; here we will give fundamental insight into this problem.…”

Section: Introductionmentioning

confidence: 99%

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Optimal interpolation schemes for particle tracking in turbulence

et al. 2013

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An important aspect in numerical simulations of particle-laden turbulent flows is the interpolation of the flow field needed for the computation of the Lagrangian trajectories. The accuracy of the interpolation method has direct consequences for the acceleration spectrum of the fluid particles and is therefore also important for the correct evaluation of the hydrodynamic forces for almost neutrally buoyant particles, common in many environmental applications. In order to systematically choose the optimal tradeoff between interpolation accuracy and computational cost we focus on comparing errors: the interpolation error is compared with the discretization error of the flow field. In this way one can prevent unnecessary computations and still retain the accuracy of the turbulent flow simulation. From the analysis a practical method is proposed that enables direct estimation of the interpolation and discretization error from the energy spectrum. The theory is validated by means of direct numerical simulations (DNS) of homogeneous, isotropic turbulence using a spectral code, where the trajectories of fluid tracers are computed using several interpolation methods. We show that B-spline interpolation has the best accuracy given the computational cost. Finally, the optimal interpolation order for the different methods is shown as a function of the resolution of the DNS simulation.

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“…Fluid-particle tracking has received significant attention in DNS of homogeneous isotropic turbulence [14,15] but, with the exception of [16], presumably owing to the higher computational demands, it has received relatively little attention in DNS of wall-bounded flows. In this paper we investigate the implementation of particle tracking in both a turbulent boundary layer and a fully developed channel flow, and examine the influence of different interpolation and particle time-marching approaches on the calculated particle paths, and the Lagrangian evolution of the VGT.…”

Section: Introductionmentioning

confidence: 99%

Numerical issues in Lagrangian tracking and topological evolution of fluid particles in wall-bounded turbulent flows

Atkinson

Hackl

Stegeman

et al. 2014

J. Phys.: Conf. Ser.

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Abstract. The determination of the local Lagrangian evolution of the flow topology in wallbounded turbulence, and of the Lagrangian evolution associated with entrainment across the turbulent / non-turbulent interface into a turbulent boundary layer, require accurate tracking of a fluid particle and its local velocity gradients. This paper addresses the implementation of fluid-particle tracking in both a turbulent boundary layer direct numerical simulation and in a fully developed channel flow simulation. Determination of the sub-grid particle velocity is performed using both cubic B-spline, four-point Hermite spline and higher-order Hermite spline interpolation. Both wall-bounded flows show similar oscillations in the Lagrangian tracers of both velocity and velocity gradients, corresponding to the movement of particles across the boundaries of computational cells. While these oscillation in the particle velocity are relatively small and have negligible effect on the particle trajectories for time-steps of the order of CFL = 0.1, they appear to be the cause of significant oscillations in the evolution of the invariants of the velocity gradient tensor.

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Lagrangian statistics in turbulent channel flow

Cited by 89 publications

References 34 publications

Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV

Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV

Optimal interpolation schemes for particle tracking in turbulence

Numerical issues in Lagrangian tracking and topological evolution of fluid particles in wall-bounded turbulent flows

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