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Numerical methods for Large Eddy Simulations in turbomachinery

MEGEP

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This thesis investigates the development, analysis and application of high-order Taylor–Galerkin and Taylor–Petrov–Galerkin methods for Large Eddy Simulation (LES) within the unstructured cell-vertex finite element framework of AVBP. The primary objective is to achieve quadratic preservation in space while maintaining robustness and computational efficiency for industrial-scale Computational Fluid Dynamics (CFD). Through theoretical analysis, algorithmic developments and applications ranging from canonical test cases to a full turbine blade configuration, the work provides a comprehensive assessment of the potential and current limitations of Petrov–Galerkin approaches for high-fidelity turbulent flow simulations.

Overall, this work establishes high-order Taylor–Petrov–Galerkin schemes as a promising framework for next-generation LES on unstructured meshes, offering a favorable balance between accuracy, robustness and efficiency. It also identifies key research directions required to achieve a fully quadratic-preserving, element-agnostic and industrially viable discretization strategy for turbulent flow simulations.

Jury

Heloise Beaugendre	Professeur, Université de Bordeaux	Reviewer
Mario Ricchiuto	Directeur de recherche, INRIA	Reviewer
Vincent Perrier	Directeur de recherche, Université de Pau et des Pays de l’Adour	Examiner
Remi Abgrall	Professeur, Université de Zurich	Examiner
Michael Rudgyard	Senior researcher, CERFACS	Thesis co-supervisor
Nicolas Odier	Senior researcher CERFACS	Thesis supervisor