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Adaptabilité en espace d'un schéma volumes finis d'ordre élevé pour la CFD/CAA des turbomachines

Abstract : In the digital age, almost all of a product’s development cycle is done on a computer. There is no longer a need to physically produce drafts. Their characteristics can be tested with precision that depends on the maturity of the simulation methods. Researchers in digital simulation therefore have the challenge of transferring their recent advances to industry. In fluid mechanics, the computer codes must gain in adaptability in order to take into account the morphology of the problem and the mesh.The configuration of advanced methods should be delegated by the non-expert user to the machine.This research work focused on the adaptability in space of a high order finite volume scheme (FV-MLS). The high order is an essential element in order to capture highly unsteady phenomena. To increase the order of precision, the FV-MLS scheme involves a high order polynomial reconstruction by Least Mobile Squares. MLS has great potential in terms of flexibility for handling complex geometries. It also has a large number of parameters that can be integrated into an optimization process.This work first provided answers concerning the sensitivity of the method regarding the MLS parameters. At a second level, a series of algorithms for the relevant choice of these parameters has been developed, while clearly improving the robustness, the precision and the calculation efficiency. The user’s load has therefore been reduced significantly, allowing him to focus on his core business. This methodology has been validated up to order 6. To improve the robustness of the numerical scheme vis-à-vis the anisotropy of the mesh, a new high-order local reconstruction framework has been defined. This local reconstruction makes it possible to reduce or even annihilate the effects of anisotropy. Several validation cases and examples of applications have been carried out in order to demonstrate the value of the proposed methods.
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Submitted on : Tuesday, March 9, 2021 - 12:45:26 PM
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  • HAL Id : tel-03163571, version 1

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Birame Sy. Adaptabilité en espace d'un schéma volumes finis d'ordre élevé pour la CFD/CAA des turbomachines. Dynamique des Fluides [physics.flu-dyn]. HESAM Université, 2020. Français. ⟨NNT : 2020HESAE045⟩. ⟨tel-03163571⟩

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