A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model

被引:6
|
作者
Xue, Dandan [1 ]
Hou, Yanren [1 ]
机构
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Stokes; Darcy model; Decoupled algorithm; Different time steps; Spectral deferred correction; DEFERRED CORRECTION METHODS; COUPLING FLUID-FLOW; FINITE-ELEMENT; ERROR ANALYSIS; DARCY;
D O I
10.1007/s11075-021-01070-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose and analyze a second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model. It is based on the second-order spectral deferred correction method in time and the finite element method in space. We provide the stability and convergence results of our decoupled scheme. Last, some numerical experiments are given to illustrate the accuracy and effectiveness of our decoupled scheme.
引用
收藏
页码:1137 / 1182
页数:46
相关论文
共 50 条
  • [1] A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model
    Dandan Xue
    Yanren Hou
    Numerical Algorithms, 2021, 88 : 1137 - 1182
  • [2] A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model
    Qin, Yi
    Wang, Yang
    Chen, Lele
    Li, Yi
    Li, Jian
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 150 : 170 - 195
  • [3] A DECOUPLING METHOD WITH DIFFERENT SUBDOMAIN TIME STEPS FOR THE NON-STATIONARY NAVIER-STOKES/DARCY MODEL
    Jia, Huiyong
    Shi, Peilin
    Li, Kaitai
    Jia, Hongen
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2017, 35 (03) : 319 - 345
  • [4] A second-order time parallel decoupled algorithm for the Stokes/Darcy model
    Xue, Dandan
    Hou, Yanren
    Li, Yi
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 161 : 13 - 31
  • [5] A second-order partitioned method with different subdomain time steps for the evolutionary Stokes-Darcy system
    Li, Yi
    Hou, Yanren
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (05) : 2178 - 2208
  • [6] Numerical analysis of a second order algorithm for a non-stationary Navier-Stokes/Darcy model
    Xue, Dandan
    Hou, Yanren
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 369 (369)
  • [7] DECOUPLED SCHEMES FOR A NON-STATIONARY MIXED STOKES-DARCY MODEL
    Mu, Mo
    Zhu, Xiaohong
    MATHEMATICS OF COMPUTATION, 2010, 79 (270) : 707 - 731
  • [8] The time filter for the non-stationary coupled Stokes/Darcy model
    Qin, Yi
    Hou, Yanren
    APPLIED NUMERICAL MATHEMATICS, 2019, 146 : 260 - 275
  • [9] A decoupling method with different subdomain time steps for the nonstationary stokes-darcy model
    Shan, Li
    Zheng, Haibiao
    Layton, William J.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2013, 29 (02) : 549 - 583
  • [10] Stability and convergence of some novel decoupled schemes for the non-stationary Stokes-Darcy model
    Zhang, Tong
    Jin, Jiaojiao
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,