A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations
| Autor: | Pascal Omnes, Toni Sayah, Ghina Nassreddine |
|---|---|
| Přispěvatelé: | Université Saint-Joseph de Beyrouth (USJ), Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Université Sorbonne Paris Nord, Service de Thermo-hydraulique et de Mécanique des Fluides (STMF), Département de Modélisation des Systèmes et Structures (DM2S), CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire) (CEA-DES (ex-DEN)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire) (CEA-DES (ex-DEN)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
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 |
| Zdroj: | Numerical Methods for Partial Differential Equations Numerical Methods for Partial Differential Equations, 2022, 38 (5), pp.1468-1498. ⟨10.1002/num.22850⟩ |
| ISSN: | 0749-159X 1098-2426 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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