Contribution à l'étude numérique des écoulements en rotation avec parois. Application au système de Taylor-Couette.

Abstract : The Taylor-Couette system, consisting of shear flow between differentially rotating concentric cylinders, has been investigated experimentally and numerically in great detail since Taylor's pioneering work in 1923. Most of the studies dedicated to this topic considered cavities of small aspect ratio (defined as the ratio between the height of the cylinders and the radial distance between the cylindrical walls). They particularly focused on the rotor-stator configuration with a fixed outer cylinder. The rotation of the outer cylinder in addition to that of the inner cylinder results in more complex vortical structures; furthermore decreasing the aspect ratio changes the transition to turbulence. These cases, that have not been much studied, are the topic of this work. We use 3D direct numerical simulation based on a Chebyshev-Fourier spectral approximation that has been shown to be efficient for the complex development of rotating flows with walls. Those methods are coupled to efficient algorithms. Computations have been carried out on NEC SX-5 supercomputer. In the couter-rotating case, we found complex spiral and wavy vortex flows. DNS allowed a precise analysis of space-and-time behaviour of the vortical structures and the effect of the endwalls.
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Olivier Czarny. Contribution à l'étude numérique des écoulements en rotation avec parois. Application au système de Taylor-Couette.. Mécanique des fluides [physics.class-ph]. Université de la Méditerranée - Aix-Marseille II, 2003. Français. ⟨NNT : 2003AIX22109⟩. ⟨tel-00795374⟩

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