TY - JOUR
T1 - Direct numerical simulations of spiral Taylor-Couette turbulence
AU - Berghout, Pieter
AU - Dingemans, Rick J.
AU - Zhu, Xiaojue
AU - Verzicco, Roberto
AU - Stevens, Richard J.A.M.
AU - Van Saarloos, Wim
AU - Lohse, Detlef
PY - 2020/3/25
Y1 - 2020/3/25
N2 - We perform direct numerical simulations of spiral turbulent Taylor-Couette (TC) flow for and, i.e. counter-rotation. The aspect ratio of the domain is, with periodic boundary conditions in the axial direction, and the radius ratio. We show that, with decreasing or with decreasing, the formation of a turbulent spiral from an initially 'featureless turbulent' flow can be described by the phenomenology of the Ginzburg-Landau equations, similar as seen in the experimental findings of Prigent et al. (Phys. Rev. Lett., vol. 89, 2002, 014501) for TC flow at an and in numerical simulations of oblique turbulent bands in plane Couette flow by Rolland & Manneville (Eur. Phys. J., vol. 80, 2011, pp. 529-544). We therefore conclude that the Ginzburg-Landau description also holds when curvature effects play a role, and that the finite-wavelength instability is not a consequence of the no-slip boundary conditions at the upper and lower plates in the experiments. The most unstable axial wavelength in our simulations differs from findings in Prigent et al.where, and so we conclude that depends on the radius ratio. Furthermore, we find that the turbulent spiral is stationary in the reference frame of the mean velocity in the gap, rather than the mean velocity of the two rotating cylinders.
AB - We perform direct numerical simulations of spiral turbulent Taylor-Couette (TC) flow for and, i.e. counter-rotation. The aspect ratio of the domain is, with periodic boundary conditions in the axial direction, and the radius ratio. We show that, with decreasing or with decreasing, the formation of a turbulent spiral from an initially 'featureless turbulent' flow can be described by the phenomenology of the Ginzburg-Landau equations, similar as seen in the experimental findings of Prigent et al. (Phys. Rev. Lett., vol. 89, 2002, 014501) for TC flow at an and in numerical simulations of oblique turbulent bands in plane Couette flow by Rolland & Manneville (Eur. Phys. J., vol. 80, 2011, pp. 529-544). We therefore conclude that the Ginzburg-Landau description also holds when curvature effects play a role, and that the finite-wavelength instability is not a consequence of the no-slip boundary conditions at the upper and lower plates in the experiments. The most unstable axial wavelength in our simulations differs from findings in Prigent et al.where, and so we conclude that depends on the radius ratio. Furthermore, we find that the turbulent spiral is stationary in the reference frame of the mean velocity in the gap, rather than the mean velocity of the two rotating cylinders.
KW - UT-Hybrid-D
KW - Rotating turbulence
KW - Taylor-Couette flow
KW - Pattern formation
UR - http://www.scopus.com/inward/record.url?scp=85078673317&partnerID=8YFLogxK
U2 - 10.1017/jfm.2020.33
DO - 10.1017/jfm.2020.33
M3 - Article
AN - SCOPUS:85078673317
SN - 0022-1120
VL - 887
JO - Journal of fluid mechanics
JF - Journal of fluid mechanics
M1 - A18
ER -