Solving Incompressible Navier-Stokes Equations on Octree grids : towards Application to Wind Turbine Blade Modelling

Claire Taymans 1, 2
1 Équipe Calcul scientifique et Modélisation
IMB - Institut de Mathématiques de Bordeaux : UMR5251
2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
Inria Bordeaux - Sud-Ouest, IMB - Institut de Mathématiques de Bordeaux
Abstract : The subject of the thesis is the development of a numerical tool that allows to model the flow around wind blades. We are interested in the solving of incompressible Navier-Stokes equations on octree grids, where the smallest scales close to the wall have been modelled by the use of the so-called Wall Functions. An automatic Adaptive Mesh Refinement (AMR) process has been developed in order to refine the mesh in the areas where the vorticity is higher. The structural model of a real wind blade has also been implemented and coupled with the fluid model. Indeed, an application of the numerical tool is the study of the effects of wind gusts on blades. An experimental work has been conducted with an in-service wind turbine with the measurement of wind speed upstream. This data will allow to calibrate and validate the numerical models developed in the thesis.
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Claire Taymans. Solving Incompressible Navier-Stokes Equations on Octree grids : towards Application to Wind Turbine Blade Modelling. Numerical Analysis [math.NA]. Université de Bordeaux, 2018. English. ⟨NNT : 2018BORD0157⟩. ⟨tel-01934807v2⟩

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