Simulations des effets des écoulements sur la croissance cristalline d'un mélange binaire. Approche par méthode de Boltzmann sur réseau

Abstract : Phase field models are powerful tools to simulate the interface evolution of crystals, such as those encountered in the vitrification process of radioactive wastes. The purpose of this work is to study the hydrodynamic effects on crystal growth of a binary mixture. An original numerical method, called the Lattice Boltzmann Method (LBM) is adapted and extended for solving and simulating the model of solidification. The LBM is a very attractive method to simulate hydrodynamic problems and we use it for simulating the coupling between the problem of phase change and fluid mechanics. Moreover, we derive a new model to take into account the density change which occurs during the solidification. The PhD thesis will focus on seven main chapters. The first one will introduce the context and motivations of this work. The second chapter is devoted to the phase field models. We will remind the basic assumptions of the models and the physical effects considered here. The third chapter describes the numerical resolution of these models by the LB method. Next, in chapter four, we will present the different validations carried out in this work. Chapter five will present some simulations relative to various solidification processes. One of them, will focus on the crystal growth and the hydrodynamic effect on the crystal shape. Chapter six will be devoted to the development of a new model of coupling between the solidification and the fluid flow. This model will take into account the density change during the solidification. Last chapter will conclude this work of thesis by opening a few perspectives.
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Amina Younsi. Simulations des effets des écoulements sur la croissance cristalline d'un mélange binaire. Approche par méthode de Boltzmann sur réseau. Physique [physics]. École Polytechnique, 2015. Français. ⟨tel-01221833⟩

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