Développement d’une méthode des frontières immergées pour l’analyse et le contrôle des écoulements compressibles

Abstract : This thesis is related to the numerical simulation and the analysis of compressible flows, especially in complex or mobile geometry. In these situations, the establishment of a mesh correctly representing the solid with out loss of precision of discretization methods is difficult. An alternative is to use Cartesian mesh independently of the geometry of the flow domain by introducing an immersed boundary approach. In this context, we propose an improvement and extension of a method formulated for the simulation of incompressible flows. The two main characteristics of the proposed model are on the one hand the integration of a new velocity forcing term which takes into account the effects of pressure and on the other hand the integration of a new term of temperature correction in the treatment of the energy equation. This method has been integrated in two compressible solvers of OpenFOAM code: SonicFOAM and RhoCentralFOAM. The validation was carried out by considering different cases of increasing complexity on fixed and mobile 2D bodies, for which the Mach and Reynolds numbers were varied. In addition, cases involving parietal heat transfer have been studied. The results were compared to a large number of numerical and experimental data from the literature. Finally, studies on more complex three-dimensional configurations have been done. The flow regime bifurcations of the sphere have been investigated as the Mach number increases. A sphere with non-adiabatic walls was also analyzed. A realistic drone geometry was simulated in a compressible regime.These analyzes highlight many favorable features of the immersed boundary method in terms of accuracy, flexibility and computational cost.
Keywords : OpenFOAM code
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Hamza Riahi. Développement d’une méthode des frontières immergées pour l’analyse et le contrôle des écoulements compressibles. Autre. ISAE-ENSMA Ecole Nationale Supérieure de Mécanique et d'Aérotechique - Poitiers, 2018. Français. ⟨NNT : 2018ESMA0015⟩. ⟨tel-02010802⟩

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