A posteriori error estimation for Navier-Stokes equations

被引：0

作者：

Elakkad, A. ^{[1
]}

Guessous, N.

Elkhalfi, A. ^{[1
]}

机构：

[1] Fac Sci & Tech, Lab Genie Mecan, Fes, Morocco

来源：

NEW ASPECTS OF FLUID MECHANICS, HEAT TRANSFER AND ENVIRONMENT | 2010年

关键词：

Navier-Stokes Equations; Finite Element Method; A posteriori error estimation; Adina system; CAVITY FLOW; STATIONARY;

D O I：

暂无

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper describes numerical solutions of incompressible Navier-Stokes equations. It includes algorithms for discretization by finite element methods and a posteriori error estimation of the computed solutions. A numerical experiment on the Backward-facing step problem and driven cavity flow are given to demonstrate the effectiveness of the error estimate. We compare the result with the solution from ADINA system as well as with values from other simulations.

引用

页码：50 / 60

页数：11

共 50 条

[41] A POSTERIORI MODELING ERROR ESTIMATES FOR THE ASSUMPTION OF PERFECT INCOMPRESSIBILITY IN THE NAVIER-STOKES EQUATION
Fischer, Julian
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 53 (05) : 2178 - 2205
[42] Parameter estimation for the stochastically perturbed Navier-Stokes equations
Cialenco, Igor
Glatt-Holtz, Nathan
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2011, 121 (04) : 701 - 724
[43] Stokes and Navier-Stokes equations with Navier boundary condition
Acevedo, Paul
Amrouche, Cherif
Conca, Carlos
Ghosh, Amrita
[J]. COMPTES RENDUS MATHEMATIQUE, 2019, 357 (02) : 115 - 119
[44] Stokes and Navier-Stokes equations with Navier boundary conditions
Acevedo Tapia, P.
Amrouche, C.
Conca, C.
Ghosh, A.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 285 : 258 - 320
[45] Error analysis for a second order scheme for the Navier-Stokes equations
Tone, F
[J]. APPLIED NUMERICAL MATHEMATICS, 2004, 50 (01) : 93 - 119
[46] Numerical stability and error analysis for the incompressible Navier-Stokes equations
Prudhomme, S
Oden, JT
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2002, 18 (11): : 779 - 787
[47] Attractors and error estimates for discretizations of incompressible Navier-Stokes equations
Yan, Y
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (04) : 1451 - 1472
[48] Optimal error estimates for the pseudostress formulation of the Navier-Stokes equations
Kim, Dongho
Park, Eun-Jae
Seo, Boyoon
[J]. APPLIED MATHEMATICS LETTERS, 2018, 78 : 24 - 30
[49] AN A POSTERIORI CONDITION ON THE NUMERICAL APPROXIMATIONS OF THE NAVIER-STOKES EQUATIONS FOR THE EXISTENCE OF A STRONG SOLUTION
Dashti, Masoumeh
Robinson, James C.
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 46 (06) : 3136 - 3150
[50] NAVIER-STOKES AND STOCHASTIC NAVIER-STOKES EQUATIONS VIA LAGRANGE MULTIPLIERS
Cruzeiro, Ana Bela
[J]. JOURNAL OF GEOMETRIC MECHANICS, 2019, 11 (04): : 553 - 560

← 1 2 3 4 5 →