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Schémas aux résidus distribués et méthodes à propagation des ondes pour la simulation d’écoulements compressibles diphasiques avec transfert de chaleur et de masse

Abstract : The topic of this thesis is the numerical simulation of two-phase flows in an industrial framework. Two-phase flows modelling is a challenging domain to explore, mainly because of the complex phenomena involved, such as cavitation and other transfer processes between phases. Furthermore, these flows occur generally in complex geometries, which makes difficult the development of efficient resolution methods. The models that we consider belong to the class of diffuse interface models, and they allow an easy modelling of transfers between phases. The considered class of models includes a hierarchy of sub-models, which take into account different levels of interactions between phases. To pursue our studies, first we have compared the so-called four-equation and six-equation two-phase flow models, including the effects of mass transfer processes. We have then chosen to focus on the four-equation model. One of the main objective of our work has been to extend residual distribution schemes to this model. In the context of numerical solution methods, it is common to use the conservative form of the balance law. In fact, the solution of the equations under a non-conservative form may lead to a wrong solution to the problem. Nonetheless, solving the equations in non-conservative form may be more interesting from an industrial point of view. To this aim, we employ a recent approach, which allows us to ensure conservation while solving a non-conservative system, at the condition of knowing its conservative form. We then validate our method and apply it to problems with complex geometry. Finally, the last part of our work is dedicated to the evaluation of the validity of the considered diffuse interface model for applications to real industrial problems. By using uncertainty quantification methods, the objective is to get parameters that make our simulations the most plausible, and to target the possible extensions that can make our simulations more realistic.
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Submitted on : Friday, December 20, 2019 - 3:39:07 PM
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  • HAL Id : tel-02421613, version 1

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Julien Carlier. Schémas aux résidus distribués et méthodes à propagation des ondes pour la simulation d’écoulements compressibles diphasiques avec transfert de chaleur et de masse. Mécanique des fluides [physics.class-ph]. Université Paris-Saclay, 2019. Français. ⟨NNT : 2019SACLY008⟩. ⟨tel-02421613⟩

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