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Article Dans Une Revue Numerical Methods for Partial Differential Equations Année : 2022

A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations

Résumé

In this paper, we study in two and three space dimensions, the a posteriori error estimates for the Large Eddy Simulation applied to the Navier-Stokes system. We begin by introducing the Navier-Stokes and the corresponding Large Eddy Simulation (LES) equations. Then we introduce the corresponding discrete problem based on the finite element method. We establish an a posteriori error estimation with three types of error indicators related to the filter of the LES method, to the discretization and to the linearization. Finally, numerical investigations are shown and discussed.
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Dates et versions

hal-03878075 , version 1 (29-11-2022)

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Ghina Nassreddine, Pascal Omnes, Toni Sayah. A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations. Numerical Methods for Partial Differential Equations, 2022, 38 (5), pp.1468-1498. ⟨10.1002/num.22850⟩. ⟨hal-03878075⟩
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