A posteriori error estimates for the Large Eddy Simulation applied to incompressible fluids

被引：1

作者：

Nassreddine, Ghina ^{[1
,2
]}

Omnes, Pascal ^{[2
,3
]}

Sayah, Toni ^{[1
]}

机构：

[1] Univ St Joseph, Fac Sci, Unite Rech Math & Modelisat, Lab Math & Applicat, BP 11-514, Riad El Solh Beyrouth 11072050, Lebanon

[2] Univ Sorbonne Paris Nord, CNRS, UMR 7539, LAGA,Inst Galilee, 99 Av JB Clement, F-93430 Villetaneuse, France

[3] Univ Paris Saclay, CEA, Serv Genie Logiciel Simulat, F-91191 Gif Sur Yvette, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2023年 / 57卷 / 04期

关键词：

Large Eddy Simulation; finite element method; a posteriori estimation; STOKES EQUATIONS; TIME; ORDER;

D O I：

10.1051/m2an/2023039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：2159 / 2191

页数：33

共 50 条

[1] A posteriori error estimates for the large eddy simulation applied to stationary Navier-Stokes equations
Nassreddine, Ghina
Omnes, Pascal
Sayah, Toni
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (05) : 1468 - 1498
[2] A posteriori error estimates applied to flow in a channel with corners
Burda, P
Novotny, J
Sousedík, B
MATHEMATICS AND COMPUTERS IN SIMULATION, 2003, 61 (3-6) : 375 - 383
[3] POSTERIORI ERROR ESTIMATES
MIEL, G
MATHEMATICS OF COMPUTATION, 1977, 31 (137) : 204 - 213
[4] A POSTERIORI ESTIMATES OF ERROR
KRASNOSE.MA
DOKLADY AKADEMII NAUK SSSR, 1968, 181 (05): : 1058 - &
[5] On duality-based a posteriori error estimation in various norms and linear functionals for large eddy simulation
Hoffman, J
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2004, 26 (01): : 178 - 195
[6] A posteriori error estimates for parabolic equations applied to the space grid adjustment
Z Angew Math Mech ZAMM, Suppl 1 (531):
[7] A posteriori error estimates for parabolic equations applied to the space grid adjustment
Segeth, K
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 531 - 532
[8] A posteriori error estimates and adaptive meshing applied to flow in channels with corners
Burda, P
Novotny, J
Sousedík, B
COMPUTATIONAL FLUID DYNAMICS 2002, 2003, : 465 - 470
[9] Applied large eddy simulation INTRODUCTION
Tucker, Paul G.
Lardeau, Sylvain
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 367 (1899): : 2809 - 2818
[10] Introduction applied large eddy simulation
Whittle Laboratory, Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, United Kingdom
不详
Philos. Trans. R. Soc. A Math. Phys. Eng. Sci., 2009, 1899 (2809-2818):

← 1 2 3 4 5 →