Effects of the computational domain size on direct numerical simulations of Taylor-Couette turbulence with stationary outer cylinder

Abstract

In search for the cheapest but still reliable numerical simulation, a systematic study on the effect of the computational domain ("box") size on direct numerical simulations of Taylor-Couette flow was performed. Four boxes, with varying azimuthal and axial extents were used. The radius ratio between the inner cylinder and the outer cylinder was fixed to $\eta =r_i/r_o=0.909$, and the outer was kept stationary, while the inner rotated at a Reynolds number $R{e}_i=10^5$. Profiles of mean and fluctuation velocities are compared, as well as autocorrelations and velocity spectra. The smallest box is found to accurately reproduce the torque and mean azimuthal velocity profiles of larger boxes, while having smaller values of the fluctuations than the larger boxes. The axial extent of the box directly reflects on the Taylor-rolls and plays a crucial role on the correlations and spectra. The azimuthal extent is also found to play a significant role, as larger boxes allow for azimuthal wave-like patterns in the Taylor rolls to develop, which affects the statistics in the bulk region. For all boxes studied, the spectra does not reach a box independent maximum.

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Cited by in corpus (17)

• The near-wall region of highly turbulent Taylor-Couette flow
• Wall roughness induces asymptotic ultimate turbulence
• Momentum transport in Taylor-Couette flow with vanishing curvature
• The effect of roll number on the statistics of turbulent Taylor-Couette flow
• Deformation and orientation statistics of neutrally buoyant sub-Kolmogorov ellipsoidal droplets in turbulent Taylor-Couette flow
• Direct numerical simulations of Taylor--Couette turbulence: the effect of sand grain roughness
• Hydrodynamic turbulence in quasi-Keplerian rotating flows
• Dynamics and evolution of Turbulent Taylor rolls
• Strong alignment of prolate ellipsoids in Taylor-Couette flow
• Controlling secondary flow in Taylor-Couette turbulence through spanwise-varying roughness
• Turbulent Taylor-Couette flow with stationary inner cylinder
• Double maxima of angular momentum transport in $\eta =0.91$ TC turbulence
• Statistics of turbulence in the energy-containing range of Taylor-Couette compared to canonical wall-bounded flows
• Calculation of the mean velocity profile for strongly turbulent Taylor--Couette flow and arbitrary radius ratios
• Controlling secondary flows in Taylor-Couette flow using stress-free boundary conditions
• Exploring the origin of Turbulent Taylor rolls
• Taylor rolls on tour: Slow drift of turbulent large-scale structures in flows with continuous symmetries