The time filter for the non-stationary coupled Stokes/Darcy model

被引：18
|
作者：
Qin, Yi [1 ]
Hou, Yanren [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2019年 / 146卷
关键词：
Coupled Stokes/Darcy model; Time filter; Increase accuracy; 2-GRID FINITE-ELEMENT; NAVIER-STOKES; DARCY MODEL; DECOUPLING METHOD; FLUID-FLOW; SURFACE; APPROXIMATION; STEPS;
D O I：
10.1016/j.apnum.2019.07.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the effect of adding a simple time filter to the Backward Euler scheme for the non-stationary coupled Stokes/Darcy model. The method is modular and requires only one additional line of code to be added, which improves the accuracy of the Backward Euler scheme from first to second order. We verify this conclusion from both theoretical analysis and numerical experiments. Finally, we propose that the BDF2 scheme can be improved to the third order if the time filter is added, which is demonstrated by numerical experiments. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：260 / 275
页数：16
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