A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation

被引：0
作者：
Dakroub, Jad [1 ]
Faddoul, Joanna [2 ,3 ]
Omnes, Pascal [3 ,4 ]
Sayah, Toni [2 ]
机构：
[1] Univ St Joseph Beyrouth, Fac Ingenieurs, Beirut, Lebanon
[2] Univ St Joseph, Unite Rech Math & Modelisat, Lab Math & Applicat, CAR,Fac Sci, BP 11-514 Riad El Solh, Beirut 11072050, Lebanon
[3] Univ Sorbonne Paris Nord, LAGA, CNRS UMR 7539, Inst Galilee, 99 Ave JB Clement, F-93430 Villetaneuse, France
[4] Univ Paris Saclay, CEA, Serv Thermohydraul & Mecan Fluides, F-91191 Gif Sur Yvette, France
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2023年 / 49卷 / 04期
关键词：
A posteriori error estimation; Navier-Stokes problem; Convection-diffusion-reaction equation; Finite element method; Adaptive methods; DISCRETIZATION;
D O I：
10.1007/s10444-023-10066-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the a posteriori error estimates for the time dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation. The problem is discretized in time using the implicit Euler method and in space using the finite element method. We establish a posteriori error estimates with two types of computable error indicators, the first one linked to the space discretization and the second one to the time discretization. Finally, numerical investigations are performed and presented.
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页数：60
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