- rotor-stator, - couches limites, - instabilités baroclines, - ondes d’inertie-gravité, - transition vers la turbulence
géostrophique
Axe de recherche :
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Effets thermiques dans les systèmes en rotation (voir les détails sur la page dédiée)
Publications scientifiques au M2P2
2018
Stéphane Abide, Stéphane Viazzo, Isabelle Raspo, Anthony Randriamampianina. Higher-order compact scheme for high-performance computing of stratified rotating flows. Computers and Fluids, 2018, 174, pp.300-310. ⟨10.1016/j.compfluid.2018.07.016⟩. ⟨hal-02111489⟩ Plus de détails...
To take advantage of modern generation computing hardware, a scalable numerical method, based on higher-order compact scheme, is described to solve rotating stratified flows in cylindrical annular domains. An original approach combining 2d-pencil decomposition and reduced Parallel Diagonal Dominant is proposed to improve the parallelization performance during the computation of Poisson/Helmholtz solvers and time explicit terms. The developed technique is validated with respect to analytical solutions, using the method of manufactured solutions, and available data for two specific configurations. The purpose is to demonstrate its ability to correctly capture the flow characteristics in strato-rotational instability and in baroclinic instability with associated small-scale features. Moreover, this code is found to drastically reduce the huge execution times often preventing detailed numerical investigations of these complex phenomena. Strong scaling test is carried out to assess the performance for up to 1024 cores using grid up to 128 × 568 × 568 in radial, axial and azimuthal directions.
Stéphane Abide, Stéphane Viazzo, Isabelle Raspo, Anthony Randriamampianina. Higher-order compact scheme for high-performance computing of stratified rotating flows. Computers and Fluids, 2018, 174, pp.300-310. ⟨10.1016/j.compfluid.2018.07.016⟩. ⟨hal-02111489⟩
Thomas von Larcher, Stéphane Viazzo, Uwe Harlander, Miklos Vincze, Anthony Randriamampianina. Instabilities and small-scale waves within the Stewartson layers of a thermally driven rotating annulus. Journal of Fluid Mechanics, 2018, 841, pp.380 - 407. ⟨10.1017/jfm.2018.10⟩. ⟨hal-02116196⟩ Plus de détails...
We report on small-scale instabilities in a thermally driven rotating annulus filled with a liquid with moderate Prandtl number. The study is based on direct numerical simulations and an accompanying laboratory experiment. The computations are performed independently with two different flow solvers, that is, first, the non-oscillatory forward-in-time differencing flow solver EULAG and, second, a higher-order finite-difference compact scheme (HOC). Both branches consistently show the occurrence of small-scale patterns at both vertical sidewalls in the Stewartson layers of the annulus. Small-scale flow structures are known to exist at the inner sidewall. In contrast, short-period waves at the outer sidewall have not yet been reported. The physical mechanisms that possibly trigger these patterns are discussed. We also debate whether these small-scale structures are a gravity wave signal.
Thomas von Larcher, Stéphane Viazzo, Uwe Harlander, Miklos Vincze, Anthony Randriamampianina. Instabilities and small-scale waves within the Stewartson layers of a thermally driven rotating annulus. Journal of Fluid Mechanics, 2018, 841, pp.380 - 407. ⟨10.1017/jfm.2018.10⟩. ⟨hal-02116196⟩
Thomas von Larcher, Stéphane Viazzo, Uwe Harlander, Miklos Vincze, Anthony Randriamampianina. Instabilities and small−scale waves within the Stewartson layers of the thermally driven rotating annulus
. Journal of Fluid Mechanics, In press. ⟨hal-01670784⟩ Plus de détails...
Thomas von Larcher, Stéphane Viazzo, Uwe Harlander, Miklos Vincze, Anthony Randriamampianina. Instabilities and small−scale waves within the Stewartson layers of the thermally driven rotating annulus
. Journal of Fluid Mechanics, In press. ⟨hal-01670784⟩
Anthony Randriamampianina, Emilia Crespo del Arco. Inertia–gravity waves in a liquid-filled, differentially heated, rotating annulus. Journal of Fluid Mechanics, 2015, 782, pp.144- 177. ⟨10.1017/jfm.2015.522⟩. ⟨hal-01230540⟩ Plus de détails...
Direct numerical simulations based on high-resolution pseudospectral methods are carried out for detailed investigation into the instabilities arising in a differentially heated, rotating annulus, the baroclinic cavity. Following previous works using air (Randriamampianina et al., J. Fluid Mech., vol. 561, 2006, pp. 359–389), a liquid defined by Prandtl number Pr=16 is considered in order to better understand, via the Prandtl number, the effects of fluid properties on the onset of gravity waves. The computations are particularly aimed at identifying and characterizing the spontaneously emitted small-scale fluctuations occurring simultaneously with the baroclinic waves. These features have been observed as soon as the baroclinic instability sets in. A three-term decomposition is introduced to isolate the fluctuation field from the large-scale baroclinic waves and the time-averaged mean flow. Even though these fluctuations are found to propagate as packets, they remain attached to the background baroclinic waves, locally triggering spatio-temporal chaos, a behaviour not observed with the air-filled cavity. The properties of these features are analysed and discussed in the context of linear theory. Based on the Richardson number criterion, the characteristics of the generation mechanism are consistent with a localized instability of the shear zonal flow, invoking resonant over-reflection.
Anthony Randriamampianina, Emilia Crespo del Arco. Inertia–gravity waves in a liquid-filled, differentially heated, rotating annulus. Journal of Fluid Mechanics, 2015, 782, pp.144- 177. ⟨10.1017/jfm.2015.522⟩. ⟨hal-01230540⟩
Anthony Randriamampianina, Emilia Crespo del Arco. High resolution method for direct numerical simulation of the instability and transition in a baroclinic cavity. Thomas von Larcher, Paul D. Williams. Modelling atmospheric and oceanic flows: insights from laboratory experiments and numerical simulations, Wiley, chapter V.2, 2014, American Geophysical Union Series, 978-1-118-85593-5. ⟨hal-00993357⟩ Plus de détails...
Anthony Randriamampianina, Emilia Crespo del Arco. High resolution method for direct numerical simulation of the instability and transition in a baroclinic cavity. Thomas von Larcher, Paul D. Williams. Modelling atmospheric and oceanic flows: insights from laboratory experiments and numerical simulations, Wiley, chapter V.2, 2014, American Geophysical Union Series, 978-1-118-85593-5. ⟨hal-00993357⟩
Anthony Randriamampianina. Inertia gravity waves characteristics within a baroclinic cavity. Comptes Rendus Mécanique, 2013, 341 (6), pp.547-552. ⟨10.1016/j.crme.2013.01.006⟩. ⟨hal-00946827⟩ Plus de détails...
High-resolution direct numerical simulations have shown the occurrence of inertia gravity waves simultaneously with baroclinic instabilities within a differentially heated rotating annulus, the "baroclinic cavity". The working fluid is characterised by a Prandtl number Pr = 16. A decomposition technique applied to the dependent variables has allowed us to separate in space and in time the contributions of the large-scale baroclinic structures from that of the small-scale fluctuations. These latter have been identified as inertia gravity waves from their dispersion relation. The present work is particularly focused on the mechanism responsible for the spontaneous generation of these waves.
Anthony Randriamampianina. Inertia gravity waves characteristics within a baroclinic cavity. Comptes Rendus Mécanique, 2013, 341 (6), pp.547-552. ⟨10.1016/j.crme.2013.01.006⟩. ⟨hal-00946827⟩
Stéphane Viazzo, Sébastien Poncet, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. High-order Large Eddy Simulations of Confined Rotor-Stator Flows. Flow, Turbulence and Combustion, 2011, 88, pp.63-75. ⟨10.1007/s10494-011-9345-0⟩. ⟨hal-00678841⟩ Plus de détails...
In many engineering and industrial applications, the investigation of rotating turbulent flow is of great interest. In rotor-stator cavities, the centrifugal and Coriolis forces have a strong influence on the turbulence by producing a secondary flow in the meridian plane composed of two thin boundary layers along the disks separated by a non-viscous geostrophic core. Most numerical simulations have been performed using RANS and URANS modelling, and very few investigations have been performed using LES. This paper reports on quantitative comparisons of two high-order LES methods to predict a turbulent rotor-stator flow at the rotational Reynolds number Re=400000. The classical dynamic Smagorinsky model for the subgrid-scale stress (Germano et al., Phys Fluids A 3(7):1760-1765, 1991) is compared to a spectral vanishing viscosity technique (Séverac & Serre, J Comp Phys 226(2):1234-1255, 2007). Numerical results include both instantaneous data and postprocessed statistics. The results show that both LES methods are able to accurately describe the unsteady flow structures and to satisfactorily predict mean velocities as well as Reynolds stress tensor components. A slight advantage is given to the spectral SVV approach in terms of accuracy and CPU cost. The strong improvements obtained in the present results with respect to RANS results confirm that LES is the appropriate level of modelling for flows in which fully turbulent and transition regimes are involved.
Stéphane Viazzo, Sébastien Poncet, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. High-order Large Eddy Simulations of Confined Rotor-Stator Flows. Flow, Turbulence and Combustion, 2011, 88, pp.63-75. ⟨10.1007/s10494-011-9345-0⟩. ⟨hal-00678841⟩
Stéphane Viazzo, Sébastien Poncet, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. High-order Large Eddy Simulations of Confined Rotor-Stator Flows. Flow, Turbulence and Combustion, 2011, 88, pp.63-75. ⟨10.1007/s10494-011-9345-0⟩. ⟨hal-00822030⟩ Plus de détails...
In many engineering and industrial applications, the investigation of rotating turbulent flow is of great interest. In rotor-stator cavities, the centrifugal and Coriolis forces have a strong influence on the turbulence by producing a secondary flow in the meridian plane composed of two thin boundary layers along the disks separated by a non-viscous geostrophic core. Most numerical simulations have been performed using RANS and URANS modelling, and very few investigations have been performed using LES. This paper reports on quantitative comparisons of two high-order LES methods to predict a turbulent rotor-stator flow at the rotational Reynolds number Re=400000. The classical dynamic Smagorinsky model for the subgrid-scale stress (Germano et al., Phys Fluids A 3(7):1760-1765, 1991) is compared to a spectral vanishing viscosity technique (Séverac & Serre, J Comp Phys 226(2):1234-1255, 2007). Numerical results include both instantaneous data and postprocessed statistics. The results show that both LES methods are able to accurately describe the unsteady flow structures and to satisfactorily predict mean velocities as well as Reynolds stress tensor components. A slight advantage is given to the spectral SVV approach in terms of accuracy and CPU cost. The strong improvements obtained in the present results with respect to RANS results confirm that LES is the appropriate level of modelling for flows in which fully turbulent and transition regimes are involved.
Stéphane Viazzo, Sébastien Poncet, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. High-order Large Eddy Simulations of Confined Rotor-Stator Flows. Flow, Turbulence and Combustion, 2011, 88, pp.63-75. ⟨10.1007/s10494-011-9345-0⟩. ⟨hal-00822030⟩
Sébastien Poncet, Anthony Randriamampianina. Three-dimensional turbulent boundary layer in a shrouded rotating system. Flow, Turbulence and Combustion, 2008, 80 (1), pp.107-117. ⟨10.1007/s10494-007-9083-5⟩. ⟨hal-00192950⟩ Plus de détails...
A three-dimensional direct numerical simulation is combined with a laboratory study to describe the turbulent flow in an enclosed annular rotor-stator cavity characterized by a large aspect ratio G=(b-a)/h=18.32 and a small radius ratio a/b=0.152, where a and b are the inner and outer radii of the rotating disk and h is the interdisk spacing. The rotation rate $\Omega$ considered is equivalent to the rotational Reynolds number $Re=\Omega b^2/\nu=9.5 \times 10^4$ ($\nu$ the kinematic viscosity of water). This corresponds to a value at which experiment has revealed that the stator boundary layer is turbulent, whereas the rotor boundary layer is still laminar. Comparisons of the computed solution with velocity measurements have given good agreement for the mean and turbulent fields. The results enhance evidence of weak turbulence by comparing the turbulence properties with available data in the literature (Lygren & Andersson, J Fluid Mech 426:297-326, 2001). An approximately self-similar boundary layer behavior is observed along the stator. The wall-normal variations of the structural parameter and of characteristic angles confirm that this boundary layer is three-dimensional. A quadrant analysis (Kang et al, Phys Fluids 10:2315-2322, 1998) of conditionally averaged velocities shows that the asymmetries obtained are dominated by Reynolds stress-producing events in the stator boundary layer. Moreover, Case 1 vortices (with a positive wall induced velocity) are found to be the major source of generation of special strong events, in agreement with the conclusions of Lygren and Andersson (J Fluid Mech 426:297-326, 2001).
Sébastien Poncet, Anthony Randriamampianina. Three-dimensional turbulent boundary layer in a shrouded rotating system. Flow, Turbulence and Combustion, 2008, 80 (1), pp.107-117. ⟨10.1007/s10494-007-9083-5⟩. ⟨hal-00192950⟩
Isabelle Raspo, Sandrine Hugues, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. Spectral projection methods for the simulation of complex three-dimensional rotating flows. Computers and Fluids, 2002, 31 (4-7), pp.745-767. ⟨hal-01023173⟩ Plus de détails...
Isabelle Raspo, Sandrine Hugues, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. Spectral projection methods for the simulation of complex three-dimensional rotating flows. Computers and Fluids, 2002, 31 (4-7), pp.745-767. ⟨hal-01023173⟩
Olivier Czarny, Eric Serre, Patrick Bontoux, Richard M. Lueptow. Spiral and wavy vortex flows in short counter-rotating Taylor-Couette cells. International Journal of Theoretical and Computational Fluid dynamics, 2002, 16, pp.5-15. ⟨hal-01023184⟩ Plus de détails...
Olivier Czarny, Eric Serre, Patrick Bontoux, Richard M. Lueptow. Spiral and wavy vortex flows in short counter-rotating Taylor-Couette cells. International Journal of Theoretical and Computational Fluid dynamics, 2002, 16, pp.5-15. ⟨hal-01023184⟩
Journal: International Journal of Theoretical and Computational Fluid dynamics
Isabelle Raspo, Sandrine Hugues, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. A spectral projection method for the simulation of complex three-dimensional rotating flows. Computers and Fluids, 2002, 31 (4-7), pp.745-767. ⟨10.1016/S0045-7930(01)00070-6⟩. ⟨hal-00833836⟩ Plus de détails...
In this paper, we present an efficient projection method to solve the three-dimensional time-dependent incompressible Navier-Stokes equations in primitive variables formulation using spectral approximations. This method is based on a modification of the algorithm proposed by Goda [J. Comp. Phys. 30 (1979) 76]. It brings an improvement by introducing a preliminary step for the pressure in order to allow a temporal evolution of the normal pressure gradient at the boundaries. Its efficiency is brought to the fore by comparison with the Goda's algorithm. The modified projection method is then applied to the simulation of complex three-dimensional flows in rotating cavities, involving either a throughflow or a differential rotation.
Isabelle Raspo, Sandrine Hugues, Eric Serre, Anthony Randriamampianina, Patrick Bontoux. A spectral projection method for the simulation of complex three-dimensional rotating flows. Computers and Fluids, 2002, 31 (4-7), pp.745-767. ⟨10.1016/S0045-7930(01)00070-6⟩. ⟨hal-00833836⟩
Eric Serre, Sandrine Hugues, Emilia Crespo del Arco, Anthony Randriamampianina, Patrick Bontoux. Axisymmetric and three-dimensional instabilities in an Ekman boundary layer flow. International Journal of Heat and Fluid Flow, 2001, 22 (1), pp.82-93. ⟨hal-01023080⟩ Plus de détails...
Eric Serre, Sandrine Hugues, Emilia Crespo del Arco, Anthony Randriamampianina, Patrick Bontoux. Axisymmetric and three-dimensional instabilities in an Ekman boundary layer flow. International Journal of Heat and Fluid Flow, 2001, 22 (1), pp.82-93. ⟨hal-01023080⟩
Journal: International Journal of Heat and Fluid Flow
