Benjamin Miquel

Benjamin Miquel
Atomic Energy and Alternative Energies Commission | CEA · Centre d'Etudes de Saclay

PhD

About

32
Publications
2,402
Reads
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340
Citations
Introduction
Fluid Mechanics, Turbulence, Convection, Rapidly Rotating flows, GFD, Surface waves, Elasticity, Spectral methods for differential equations, Parallel computing
Additional affiliations
November 2013 - October 2014
Aix-Marseille Université
Position
  • PostDoc Position
October 2010 - September 2013
Ecole Normale Supérieure de Paris
Position
  • PhD Student
October 2010 - September 2013
Ecole Normale Supérieure de Paris
Position
  • PhD Student

Publications

Publications (32)
Article
Three-dimensional convection driven by internal heat sources and sinks (CISS) leads to experimental and numerical scaling laws compatible with a mixing-length—or ‘ultimate’—scaling regime N u ∼ R a . However, asymptotic analytic solutions and idealized two-dimensional simulations have shown that laminar flow solutions can transport heat even more e...
Preprint
Full-text available
The competition between turbulent convection and global rotation in planetary and stellar interiors governs the transport of heat and tracers, as well as magnetic-field generation. These objects operate in dynamical regimes ranging from weakly rotating convection to the `geostrophic turbulence' regime of rapidly rotating convection. However, the la...
Preprint
Full-text available
We numerically and theoretically investigate the Boussinesq Eady model, where a rapidly rotating density-stratified layer of fluid is subject to a meridional temperature gradient in thermal wind balance with a uniform vertically sheared zonal flow. Through a suite of numerical simulations, we show that the transport properties of the resulting turb...
Article
The competition between turbulent convection and global rotation in planetary and stellar interiors governs the transport of heat and tracers, as well as magnetic field generation. These objects operate in dynamical regimes ranging from weakly rotating convection to the “geostrophic turbulence” regime of rapidly rotating convection. However, the la...
Article
We study experimentally the dynamics of long waves among turbulent bending waves in a thin elastic plate set into vibration by a monochromatic forcing at a frequency fo. This frequency is chosen large compared with the characteristic frequencies of bending waves. As a consequence, a range of conservative scales without energy flux on average exists...
Preprint
Full-text available
We study experimentally the dynamics of long waves among turbulent bending waves in a thin elastic plate set into vibration by a monochromatic forcing at a frequency $f_0$. This frequency is chosen large compared with the characteristic frequencies of bending waves. As a consequence, a range of conservative scales, without energy flux in average, e...
Preprint
Thermal convection driven by internal heat sources and sinks was recently shown experimentally to exhibit the mixing-length, or "ultimate", scaling-regime: the Nusselt number $Nu$ (dimensionless heat flux) increases as the square-root of the Rayleigh-number $Ra$ (dimensionless internal temperature difference). While for standard Rayleigh-B\'enard c...
Article
On the role of the Prandtl number in convection driven by heat sources and sinks - Volume 900 - Benjamin Miquel, Vincent Bouillaut, Sébastien Aumaître, Basile Gallet
Preprint
We report on a numerical study of turbulent convection driven by a combination of internal heat sources and sinks. Motivated by a recent experimental realisation (Lepot et al. 2018), we focus on the situation where the cooling is uniform, while the internal heating is localised near the bottom boundary, over approximately one tenth of the domain he...
Article
Thermal convection driven by internal heat sources and sinks was recently shown experimentally to exhibit the mixing-length or “ultimate” scaling-regime: The Nusselt number Nu (dimensionless heat flux) increases as the square-root of the Rayleigh-number Ra (dimensionless internal temperature difference). While for standard Rayleigh-Bénard convectio...
Article
Full-text available
Weak wave turbulence has been observed on a thin elastic plates since the work by Düring et al. [Phys. Rev. Lett. 97, 025503 (2006)]. Here we report theoretical, experimental, and numerical studies of wave turbulence in a forced thin elastic plate submitted to increasing tension. When increasing the tension (or decreasing the bending stiffness of t...
Preprint
Full-text available
Weak wave turbulence has been observed on a thin elastic plate in previous work. Here we report theoretical, experimental and numerical studies of wave turbulence in a thin elastic plate submitted to increasing tension. When increasing the tension (or decreasing the bending stiffness of the plate) the plate evolves progressively from a plate into a...
Article
Full-text available
Motivated by the recent discovery of subsurface oceans on planetary moons and the interest they have generated, we explore convective flows in shallow spherical shells of dimensionless gap width ɛ2≪1 in the rapid rotation limit E≪1, where E is the Ekman number. We employ direct numerical simulation (DNS) of the Boussinesq equations to compute the l...
Preprint
Motivated by the recent discovery of subsurface oceans on planetary moons and the interest they have generated, we explore convective flows in shallow spherical shells of dimensionless gap width $\varepsilon^2\ll 1$ in the rapid rotation limit $\mathrm{E}\ll1$, where $\mathrm{E}$ is the Ekman number. We employ direct numerical simulations (DNS) of...
Article
Full-text available
We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies. The purely 2D character of dynamics of the elastic plate makes it much simpler to handle compared to much more...
Article
Full-text available
We present a numerical spectral method to solve systems of differential equations on an infinite interval $y\in (-\infty, \infty)$ in presence of linear differential operators of the form $Q(y) \left(\partial/\partial_y\right)^b$ (where $Q(y)$ is a rational fraction and $b$ a positive integer). Even when these operators are not parity-preserving, w...
Article
Full-text available
A simple model of nonlinear salt-finger convection in two dimensions is derived and studied. The model is valid in the limit of small solute to heat diffusivity ratio and large density ratio, which is relevant to both oceanographic and astrophysical applications. Two limits distinguished by the magnitude of the Schmidt number are found. For order o...
Book
Full-text available
Turbulence is a general term used for describing the erratic motions displayed by nonlinearsystems that are driven far from their equilibrium position and thus display complicatedmotions involving different time and length scales. Wave turbulence (WT) share many common ideas with turbulence, in particular asbeing a statistical theory for out-of-equ...
Conference Paper
Full-text available
Doubly diffusive processes play a fundamental role in many physical phenomena of substantial geophysical and astrophysical importance. Despite much research basic questions, e.g. how primary and secondary instabilities saturate and how mean fields are generated, remain unresolved. In the salt-finger regime, we use a systematic asymptotic procedure...
Article
Full-text available
We report experimental and numerical results on the buildup of the energy spectrum in wave turbulence of a vibrating thin elastic plate. Three steps are observed: first a short linear stage, then the turbulent spectrum is constructed by the propagation of a front in wave number space and finally a long time saturation due to the action of dissipati...
Article
Full-text available
Gravity wave turbulence is investigated experimentally in a large wave basin in which irregular waves are generated unidirectionally. The roles of the basin boundary conditions (absorbing or reflecting) and of the forcing properties are investigated. To that purpose, an absorbing sloping beach opposite the wavemaker can be replaced by a reflecting...
Article
Full-text available
The Weak Turbulence Theory has been applied to waves in thin elastic plates obeying the F\"oppl-Von K\'arm\'an dynamical equations. Subsequent experiments have shown a strong discrepancy between the theoretical predictions and the measurements. Both the dynamical equations and the Weak Turbulence Theory treatment require some restrictive hypotheses...
Article
Full-text available
The Weak Turbulence Theory has been applied to waves in thin elastic plates obeying the Föppl-Von Kármán dynamical equations. Subsequent experiments have shown a strong discrepancy between the theoretical predictions and the measurements. Both the dynamical equations and the Weak Turbulence Theory treatment require some restrictive hypotheses. Here...
Article
Full-text available
We study the dynamical regime of wave turbulence of a vibrated thin elastic plate based on experimental and numerical observations. We focus our study to the strongly non linear regime described in a previous letter by N. Yokoyama & M. Takaoka. At small forcing, a weakly non linear regime is compatible with the Weak Turbulence Theory when the dissi...
Article
Full-text available
In wave turbulence, the derivation of solutions in the frame of the Weak Turbulence Theory relies on the existence of a double time-scale separation: first, between the period of the waves and caracteristic nonlinear time tNL corresponding to energy exchange among waves; and secondly, between tNL and the characteristic dissipation time td. Due to t...
Article
Full-text available
The Kolmogorov-Zakharov spectrum predicted by the weak turbulence theory remains elusive for wave turbulence of flexural waves at the surface of a thin elastic plate. We report a direct measurement of the nonlinear time scale T(NL) related to energy transfer between waves. This time scale is extracted from the space-time measurement of the deformat...
Article
Full-text available
We report experimental results on the decay of wave turbulence in an elastic plate obtained by stopping the forcing from a stationary turbulent state. In the stationary case, the forcing is seen to induce some anisotropy and a spectrum in disagreement with the weak turbulence theory. After stopping the forcing, almost perfect isotropy is restored....
Article
Entanglement is expected to play a crucial role in the next-generation quantum communication systems. This paper reviews recent quantum communication experiments over optical fiber using 1.5-µm telecom-band entangled photon pairs. After describing the telecom-band entanglement sources based on spontaneous parametric processes, we review three quant...
Article
Full-text available
We report the first entanglement swapping experiment using entangled photon-pair sources based on spontaneous four-wave mixing (SFWM). The 1.5-microm band entangled photon pairs generated by SFWM in two independent 500-m dispersion shifted fibers exhibited quantum interference, thanks to the negligible walk-off between the pump and photon pairs. Th...
Article
Full-text available
We describe the application of single photon detectors based on InGaAs/InP avalanche photodiodes incorporating the sinusoidal gating technique into a 1.5 μm band entanglement measurement. We constructed two detectors based on this technique with a 500 MHz gate frequency. Using these detectors, we successfully demonstrated the high-speed and high si...