The turbulent response to tidal and libration forcing

In conjunction with thermo-solutal convection, the turbulence generated in planetary liquid cores may be due to the role of boundary forcing through geophysically relevant mechanisms such as precession, libration and tidal forcing (Le Bars et al. 2015). In this paper, we discuss laboratory equatorial velocity measurements and selected high-resolution numerical simulations to show the generation of developed turbulence driven by longitudinal libration or tidal forcing. In both cases, the transition to saturated turbulence is driven by an elliptical instability that excites inertial modes of the system. We find striking similarities in both the transition to bulk turbulence and the enhanced zonal flow hinting at a generic fluid response independent of the forcing mechanism. We finally discuss the relevance of this work to the planetary regime and possible directions for future investigations.

[1]  A. Barker On turbulence driven by axial precession and tidal evolution of the spin–orbit angle of close-in giant planets , 2016, 1605.03867.

[2]  A. Barker Non-linear tides in a homogeneous rotating planet or star: global simulations of the elliptical instability , 2016, 1603.06840.

[3]  J. Aurnou,et al.  Generation and maintenance of bulk turbulence by libration-driven elliptical instability , 2015 .

[4]  Yufeng Lin,et al.  Shear-driven parametric instability in a precessing sphere , 2015, 1710.07698.

[5]  D. Cébron,et al.  Flows driven by libration, precession, and tides , 2015 .

[6]  J. Aurnou,et al.  Experimental study of global-scale turbulence in a librating ellipsoid , 2014 .

[7]  C. Baruteau,et al.  Non-linear evolution of tidally forced inertial waves in rotating fluid bodies , 2014, 1401.0643.

[8]  Eric M King,et al.  On the genesis of the Earth's magnetism , 2013, Reports on progress in physics. Physical Society.

[9]  A. Barker,et al.  Non-linear evolution of the tidal elliptical instability in gaseous planets and stars , 2013, 1309.0107.

[10]  J. Aurnou,et al.  Libration driven elliptical instability , 2012, 1206.3727.

[11]  G. Lesur,et al.  On the interaction between tides and convection , 2012, 1201.5020.

[12]  D. J. Stevenson,et al.  A long-lived lunar dynamo driven by continuous mechanical stirring , 2011, Nature.

[13]  C. Moutou,et al.  Elliptical instability in terrestrial planets and moons , 2011, 1203.1796.

[14]  M. Laneuville,et al.  An impact-driven dynamo for the early Moon , 2011, Nature.

[15]  P. Maubert,et al.  Tidal instability in a rotating and differentially heated ellipsoidal shell , 2010, 1009.6094.

[16]  P. Fischer,et al.  Simulation of high-Reynolds number vascular flows , 2007 .

[17]  Eloy,et al.  Experimental study of the multipolar vortex instability , 2000, Physical review letters.

[18]  S. L. Dizes Three-dimensional instability of a multipolar vortex in a rotating flow , 2000 .

[19]  G. Schubert,et al.  Magnetoconvection dynamos and the magnetic fields of Io and Ganymede , 1997 .

[20]  J. Zahn Tidal evolution of close binary stars. I - Revisiting the theory of the equilibrium tide , 1989 .

[21]  W. Malkus,et al.  Precessional torques as the cause of geomagnetism , 1963 .

[22]  M. Rieutord,et al.  Tidal instability in stellar and planetary binary systems , 2010 .