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A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations
- Source :
- Numerical Methods for Partial Differential Equations, Numerical Methods for Partial Differential Equations, 2022, 38 (5), pp.1468-1498. ⟨10.1002/num.22850⟩
- Publication Year :
- 2022
- Publisher :
- HAL CCSD, 2022.
-
Abstract
- International audience; 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.
- Subjects :
- Numerical Analysis
Applied Mathematics
finite element method
Navier-Stokes
Large Eddy Simulation
Finite element method
a posteriori error estimation
Computational Mathematics
Applied mathematics
A priori and a posteriori
Navier stokes
Navier–Stokes equations
Analysis
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Large eddy simulation
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 0749159X and 10982426
- Database :
- OpenAIRE
- Journal :
- Numerical Methods for Partial Differential Equations, Numerical Methods for Partial Differential Equations, 2022, 38 (5), pp.1468-1498. ⟨10.1002/num.22850⟩
- Accession number :
- edsair.doi.dedup.....dd2f3279b3efbd189415f0f5b493194d
- Full Text :
- https://doi.org/10.1002/num.22850⟩