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Article Dans Une Revue Journal of Computational Physics Année : 2021

Viscous and hyperviscous filtering for direct and large-eddy simulation

Résumé

This work is dedicated to the solution filtering technique for performing direct and large-eddy simulation. It is shown that this approach is equivalent to the use of spectral viscosity as a possible ersatz of subgrid-scale modelling. In the framework of finite-difference schemes, the filter operator can be designed to ensure time consistency while easily controlling the level and scale selectivity of the dissipation thus introduced. Then, a new family of filter schemes is developed in order to represent both the molecular and artificial dissipations. The resulting viscous filter operator is straightforward to implement through a simple modification of its coefficients that depend on the molecular/artificial viscosity and the time step. A definitive advantage in terms of computational efficiency is obtained for computational configurations where the time step is restricted by the Fourier condition, as a simple alternative to implicit time integration of the viscous term. Numerical tests clearly show that this viscous filtering method is flexible, accurate and numerically stable at large Fourier number.

Dates et versions

hal-04211501 , version 1 (19-09-2023)

Identifiants

Citer

Eric Lamballais, Rodrigo Vicente Cruz, Rodolphe Perrin. Viscous and hyperviscous filtering for direct and large-eddy simulation. Journal of Computational Physics, 2021, 431, pp.110115. ⟨10.1016/j.jcp.2021.110115⟩. ⟨hal-04211501⟩
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