Decoupled Stabilized Crank-Nicolson LeapFrog method for time-dependent Navier-Stokes/Darcy model

被引：1

作者：

Jia, Xiaofeng ^{[1
]}

Feng, Hui ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 402卷

基金：

中国国家自然科学基金; 国家教育部博士点专项基金资助;

关键词：

CNLF method; Navier-Stokes/Darcy model; Stabilized finite element method; Lowest equal-order finite element pair; FINITE-ELEMENT-METHOD; 2ND-ORDER; EFFICIENT; SURFACE; STEPS;

D O I：

10.1016/j.cam.2021.113793

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a Stabilized Crank-Nicolson LeapFrog (SCNLF) method for the non-stationary Navier-Stokes/Darcy model is presented and analyzed. Initially, we decompose the coupling model into Navier-Stokes and Darcy equations. The spatial discretization by stabilized finite element method and the temporal discretization by CNLF method give a second-order partitioned method. Stability and error estimate of the numerical method are given. Finally, some numerical tests are presented to justify the theoretical analysis. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：19

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