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Vers la simulation numérique adaptative à tout nombre de Mach

Abstract : In many industries, for many reasons (cost, advent of computer science and digital age...), there is a growing interest in the knowledge of fluid flows by numerical simulation. The present work is a contribution to the analysis of Newtonian fluids through CFD. The expertise of such fluid flows needs the determination of four physical values which are : the velocity V⃗ , the density ρ, the pressure p and the temperature T of a fluid particle, all space-time dependent. The system of the partial differential equations coming form the conservation laws (mass, momentum and energy) is needed to get the main four unknowns. There are many numerical methods to solve such a system which are however separated in two parts according to the assumption of the compressibility (compressible or incompressible) of the fluid. The nature of the system is then fundamentally different in either case and there is no solver able to solve them both. Indeed, there is no software able to correctly solve by computation any fluid motion where small and large Mach number coexist. The aim of the presented work is to find a single numerical method able to solve the compressible modeling even in the incompressible zone with the best possible "triptych" : robustness, accuracy and efficiency. Thus, using only one software to compute any fluid motion whatever the assumption of the compressibility is, would be greatly appreciated.
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Submitted on : Friday, December 6, 2019 - 7:46:04 PM
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Nicolas Chauchat. Vers la simulation numérique adaptative à tout nombre de Mach. Mécanique des fluides [physics.class-ph]. UPPA, 2016. Français. ⟨tel-02398058⟩

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