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

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Abstract

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 and versions

hal-03878287 , version 1 (29-11-2022)

Identifiers

  • HAL Id : hal-03878287 , version 1

Cite

Ghina Nassreddine, Pascal Omnes, Toni Sayah. A posteriori error estimates for the large eddy simulation applied to incompressible fluids. 2022. ⟨hal-03878287⟩
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