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Article Dans Une Revue Flow, Turbulence and Combustion Année : 2023

High-Order Finite-Difference Schemes for (Hyper-) Viscous Filtering on Non-Uniform Meshes

Résumé

In this study, the viscous filtering technique is extended to one-sided and biased finite-difference schemes for non-uniform meshes. The most attractive feature of this technique lies in its numerical stability despite the use of a purely explicit time advancement. This feature is well recovered for non-uniform meshes, making the approach as a simple and efficient alternative to the implicit time integration of the viscous term in the context of direct and large-eddy simulation. The rationale to develop generalized filter schemes is presented. After a validation based on the Burgers solution while using a refined mesh in the shock region, it is shown that a high-order formulation can be used to ensure both molecular and artificial dissipation for performing implicit LES of transitional boundary layer while relaxing drastically the time step constraint.
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Dates et versions

hal-04451823 , version 1 (11-02-2024)

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Rodolphe Perrin, Eric Lamballais. High-Order Finite-Difference Schemes for (Hyper-) Viscous Filtering on Non-Uniform Meshes. Flow, Turbulence and Combustion, 2023, 112 (1), pp.243-272. ⟨10.1007/s10494-023-00503-5⟩. ⟨hal-04451823⟩
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