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Simulation of Complex High Reynolds Flows with a VMS Method and Adaptive Meshing

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Numerical Methods for Flows

Abstract

The whistling noise phenomenon, which is related to vortexes appearance in high Reynolds air flows in ducts, implies a very precise description of the flow at the very small scales, especially near the solid walls, on which boundary layer division may occur. In this work, the Variational Multiscale method has been coupled to automatic anisotropic adaptive meshing, allowing the capture of very complex flows at high Reynolds number. The adaptive procedure is based on the error evaluation on several chosen quantities (phase location, velocity, velocity direction changes) and it provides the capture of very thin flow motions, even close to the walls or boundaries. Simulations of flows on resonator-like geometries have been performed, reputed to whistle for certain flow rates. A method to qualitatively discriminate whistling from non-whistling flow rates has been implemented, based on the appearance of certain vortexes on the obtained flow patterns.

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Acknowledgements

The work in this article has been done in a joined International Teaching and Research Chair entitled “Innovative Intake and Thermo-management Systems” between MANN+ HUMMEL and Ecole Centrale de Nantes.

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Correspondence to Luisa Silva .

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Silva, L., Chalet, D., Coupez, T., Durin, A., Launay, T., Ratajczack, C. (2020). Simulation of Complex High Reynolds Flows with a VMS Method and Adaptive Meshing. In: van Brummelen, H., Corsini, A., Perotto, S., Rozza, G. (eds) Numerical Methods for Flows. Lecture Notes in Computational Science and Engineering, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-030-30705-9_1

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