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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2023

A posteriori error estimates for the large eddy simulation applied to incompressible fluids

Résumé

We study the two dimensional time dependent Large Eddy Simulation method applied to the incompressible Navier-Stokes system with Smagorinsky's eddy viscosity model and a filter width that depends on the local mesh size. The discrete model is based on the implicit Euler scheme and a conforming finite element method for the time and space discretizations, respectively. We establish a reliable and efficient a posteriori error estimation between the numerical LES solution and the exact solution of the original Navier-Stokes system, which involves three types of error indicators respectively related to the filter and to the discretizations in time and space. Numerical results show the effectiveness of adaptive simulations.
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Dates et versions

hal-03878287 , version 1 (29-11-2022)
hal-03878287 , version 2 (31-01-2024)

Identifiants

Citer

Ghina Nassreddine, Pascal Omnes, Toni Sayah. A posteriori error estimates for the large eddy simulation applied to incompressible fluids. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (4), pp.2159-2191. ⟨10.1051/m2an/2023039⟩. ⟨hal-03878287v2⟩
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