Decoupled modified characteristic finite element method for the time-dependent Navier-Stokes/Biot problem

被引：5
|
作者：
Guo, Liming [1 ]
Chen, Wenbin [2 ,3 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Math Nonlinear Sci, Shanghai, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 38卷 / 06期
基金：
中国国家自然科学基金;
关键词：
error estimates; modified characteristic finite element method; Navier-Stokes; Biot problem; stability; NUMERICAL-METHODS; ERROR ANALYSIS; FLUID; STABILITY; FLOW; CONVERGENCE; SCHEMES; APPROXIMATION; SURFACE;
D O I：
10.1002/num.22830
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a decoupled modified characteristic finite element method is proposed for the time-dependent Navier-Stokes/Biot problem. In the numerical scheme, the implicit backward Euler scheme is used for the time discretization, whereas the coupling terms are treated explicitly. At each time step, we only need to solve two decoupled problems, one is the Navier-Stokes equations solved by the modified characteristic finite element method, and the other is Biot equations. The stability and the error estimates are established for the proposed fully discrete scheme. Numerical experiments are provided to illustrate the theory.
引用
收藏
页码：1684 / 1712
页数：29
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