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Méthode explicite à pas de temps local pour la simulation des écoulements turbulents instationnaires

Abstract : Unsteady simulations of turbulent flows (LES : Large Eddy Simulation, for instance) still present an important computational cost. Improvement of numerical time integration methods could reduce the computational effort needed by these simulations. Explicit time integration methods present attractive properties such that accuracy and good compatibility with HPC (parallelization, vectorization…). Nevertheless, the time step used by these methods is strongly restricted : it is chosen to respect the most severe CFL condition over the mesh. This makes explicit time integration methods very expensive in terms of computational cost. Explicit local time stepping methods use a non uniform time step to satisfy several local CFL conditions over the mesh. The time step is more optimal over the mesh, which leads to a reduction of computational cost with respect to an explicit time integration method with a uniform time step. Most of the local time stepping schemes proposed in the literature are applied to academical test cases, and very few applications are performed in CFD. This thesis's goal is to show the ability of explicit local time stepping schemes to carry out efficient and accurate simulations of turbulent flows. To reach this goal, two new explicit local time stepping schemes have been developed. Then, two LES have been carried out with our most efficient local time stepping scheme. Both cases have demonstrated the accuracy and the efficiency of our local time stepping scheme for the computations of turbulent flows.
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Guillaume Jeanmasson. Méthode explicite à pas de temps local pour la simulation des écoulements turbulents instationnaires. Systèmes dynamiques [math.DS]. Université de Bordeaux, 2019. Français. ⟨NNT : 2019BORD0458⟩. ⟨tel-02872204⟩

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