Direct Numerical Simulation of Turbulent Taylor-Couette Flow with High Reynolds Number

Direct numerical simulation (DNS) has been conducted to investigate turbulence transition process and fine scale structures in Taylor-Couette flow. Fourier-Chebyshev spectral methods have been used for spatial discretization and DNS are conducted up to Re = 12000. With the increase of Reynolds number, fine scale eddies are formed in a stepwise fashion. In relatively weak turbulent Taylor-Couette flow, fine scale eddies elongated in the azimuthal direction appear near the outflow and inflow boundaries between Taylor vortices. These fine scale eddies in the outflow and inflow boundaries are inclined at about −45/135 degree with respect to the azimuthal direction. With the increase of Reynolds number, the number of fine scale eddies increases and fine scale eddies appear in whole flow fields. The Taylor vortices in high Reynolds number organize lots of fine scale eddies. In high Reynolds number Taylor-Couette flow, fine scale eddies parallel to the axial direction are formed in sweep regions between large scale Taylor vortices. The most expected diameter and maximum azimuthal velocity of coherent fine scale eddies are 8 times of Kolmogorov scale and 1.7 times of Kolmogorov velocity respectively for high Reynolds Taylor-Couette flow. This scaling law coincides with that in other turbulent flow fields.

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Direct Numerical Simulation in a Lid-Driven Cubical Cavity at High Reynolds Number by a Chebyshev Spectral Method

Journal of Scientific Computing ◽

10.1007/s10915-005-9032-1 ◽

2006 ◽

Vol 27 (1-3) ◽

pp. 335-345 ◽

Cited By ~ 30

Author(s):

Emmanuel Leriche

Keyword(s):

Numerical Simulation ◽

Reynolds Number ◽

Direct Numerical Simulation ◽

Spectral Method ◽

High Reynolds Number ◽

Chebyshev Spectral Method ◽

High Reynolds ◽

Cubical Cavity

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Direct numerical simulation of turbulent Taylor–Couette flow

European Journal of Mechanics - B/Fluids ◽

10.1016/j.euromechflu.2007.10.005 ◽

2008 ◽

Vol 27 (5) ◽

pp. 552-566 ◽

Cited By ~ 42

Author(s):

Davide Pirrò ◽

Maurizio Quadrio

Keyword(s):

Numerical Simulation ◽

Direct Numerical Simulation ◽

Couette Flow ◽

Taylor Couette ◽

Taylor Couette Flow

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Direct Numerical Simulation of Turbulent Channel Flow With Streamwise System-Rotation

Volume 1A: Symposia, Part 2 ◽

10.1115/ajkfluids2015-08037 ◽

2015 ◽

Author(s):

Masayoshi Okamoto

Keyword(s):

Numerical Simulation ◽

Reynolds Number ◽

Direct Numerical Simulation ◽

High Reynolds Number ◽

Turbulent Channel Flow ◽

Quadrant Analysis ◽

Mean Velocity ◽

Reynolds Number Flow ◽

High Reynolds ◽

Low Speed Streaks

The direct numerical simulation (DNS) of the fully developed turbulent channel flows rotating along the streamwise direction with several rotation parameters and two Reynolds numbers is performed. The bulk mean velocity decreases with increasing the rotation parameter, but the decrement is weakened in the high Reynolds number case. Applying the second-kind Chebyshev polynomial expansion into the mean spanwise velocity, the second mode coefficient, which becomes large in the strong rotation, is greatly influenced by the Reynolds number effect. Due to the streamwise rotation, the derivative and integral length scales obtained from the streamwise two-point correlation are extended. From viewpoints of the quadrant analysis, spectral one and instantaneous visualization, the high correlation among three fluctuating velocity components appears and the low-speed streaks are accumulated in the strong rotation and high Reynolds number flow.

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