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

He, Wenqi; Tanahashi, Mamoru; Miyauchi, Toshio

doi:10.1007/978-3-540-72604-3_68

Cited by 7 publications

(6 citation statements)

References 5 publications

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“…also for independently rotating cylinders and in the strongly turbulent regime, well beyond the onset of chaos. Many new experimental setups have been built to examine various aspects of strongly turbulent TC flow with co-and counter-rotating cylinders (Ji et al 2006;Ravelet, Delfos & Westerweel 2010;Borrero-Echeverry, Schatz & Tagg 2010;van Gils et al 2011avan Gils et al ,b, 2012van Hout & Katz 2011;Paoletti & Lathrop 2011;Schartman et al 2012;Huisman et al 2012;Merbold, Brauckmann & Egbers 2013;Huisman et al , 2014 and correspondingly numerical simulations have been pushed to very high Reynolds numbers (He, Tanahashi & Miyauchi 2007;Bilson & Bremhorst 2007;Dong 2007Dong , 2008 -Mónico et al 2013-Mónico et al , 2014aChouippe et al 2014). Figure 3 shows the currently explored parameter space in different representations.…”

Section: Introductionmentioning

confidence: 99%

High–Reynolds Number Taylor-Couette Turbulence

Großmann¹,

Lohse

Sun³

2016

Annu. Rev. Fluid Mech.

333

379

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Taylor-Couette flow, the flow between two coaxial co-or counter-rotating cylinders, is one of the paradigmatic systems in the physics of fluids. The (dimensionless) control parameters are the Reynolds numbers of the inner and outer cylinders, the ratio of the cylinder radii, and the aspect ratio. One key response of the system is the torque required to retain constant angular velocities, which can be connected to the angular velocity transport through the gap. Whereas the low-Reynolds number regime was well explored in the 1980s and 1990s of the past century, in the fully turbulent regime major research activity developed only in the past decade. In this article, we review this recent progress in our understanding of fully developed Taylor-Couette turbulence from the experimental, numerical, and theoretical points of view. We focus on the parameter dependence of the global torque and on the local flow organization, including velocity profiles and boundary layers. Next, we discuss transitions between different (turbulent) flow states. We also elaborate on the relevance of this system for astrophysical disks (quasi-Keplerian flows). The review ends with a list of challenges for future research on turbulent Taylor-Couette flow. 53

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Section: Introductionmentioning

confidence: 99%

High–Reynolds Number Taylor-Couette Turbulence

Großmann¹,

Lohse

Sun³

2016

Annu. Rev. Fluid Mech.

333

379

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“…Three-dimensional solutions of INSE theoretically require a number of grid point scaling like Re 9/4 . The actual memory limit of the largest supercomputers bounds the largest Reynolds number that can be simulated to Re ≈ 10 4 [19,20]. The second limit comes from the time it takes to simulate a certain amount of evolution time.…”

Section: Introductionmentioning

confidence: 99%

New method for detecting singularities in experimental incompressible flows

et al. 2017

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We introduce two new singularity detection criteria based on the work of Duchon-Robert (DR) [J. Duchon and R. Robert, Nonlinearity, 13, 249 (2000)], and Eyink [G.L. Eyink, Phys. Rev. E, 74 (2006)] which allow for the local detection of singularities with scaling exponent h 1/2 in experimental flows, using PIV measurements. We show that in order to detect such singularities, one does not need to have access to the whole velocity field inside a volume but can instead look for them from stereoscopic particle image velocimetry (SPIV) data on a plane. We discuss the link with the Beale-Kato-Majda (BKM) [J.T. Beale, T. Kato, A. Majda, Commun. Math. Phys., 94, 61 (1984)] criterion, based on the blowup of vorticity, which applies to singularities of Navier-Stokes equations. We illustrate our discussion using tomographic PIV data obtained inside a high Reynolds number flow generated inside the boundary layer of a wind tunnel. In such a case, BKM and DR criteria are well correlated with each other.

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“…The state-of-the-art of high Reynolds number Taylor-Couette turbulence is treated by Grossmann, Lohse, and Sun [4], which is the regime we focus on in the present work. Since the research of Wendt [5] in 1933 and the Austin-Maryland experiments [6][7][8] in the nineties, only in the past decade more researchers have started to explore the strongly turbulent regime with independently rotating cylinders, both experimentally [9][10][11][12][13][14][15][16][17][18] and numerically [19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Exploring the phase space of multiple states in highly turbulent Taylor-Couette flow

et al. 2016

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We investigate the existence of multiple turbulent states in highly turbulent TaylorCouette flow in the range of Ta = 10 11 to 9 × 10 12 by measuring the global torques and the local velocities while probing the phase space spanned by the rotation rates of the inner and outer cylinders. The multiple states are found to be very robust and are expected to persist beyond Ta = 10 13 . The rotation ratio is the parameter that most strongly controls the transitions between the flow states; the transitional values only weakly depend on the Taylor number. However, complex paths in the phase space are necessary to unlock the full region of multiple states. By mapping the flow structures for various rotation ratios in a Taylor-Couette setup with an equal radius ratio but a larger aspect ratio than before, multiple states are again observed. Here they are characterized by even richer roll structure phenomena, including an antisymmetrical roll state.

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

Cited by 7 publications

References 5 publications

High–Reynolds Number Taylor-Couette Turbulence

High–Reynolds Number Taylor-Couette Turbulence

New method for detecting singularities in experimental incompressible flows

Exploring the phase space of multiple states in highly turbulent Taylor-Couette flow

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