A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model

This paper proposes and analyzes a second-order decoupled Backward Euler method plus time filter for the evolutionary Stokes/Darcy model, which allows different variable time steps in the free fluid flow region and the porous media flow region. Furthermore, this algorithm, which is a combination of...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) Vol. 150; pp. 170 - 195
Main Authors: Qin, Yi, Wang, Yang, Chen, Lele, Li, Yi, Li, Jian
Format: Journal Article
Language:English
Published: Elsevier Ltd 15.11.2023
Subjects:
Adaptive algorithm
Different subdomain variable time steps
Stokes/Darcy model
Time filter
Different subdomain variable time steps
Adaptive algorithm
Stokes/Darcy model
Time filter
ISSN:0898-1221, 1873-7668
Online Access:Get full text
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Summary:This paper proposes and analyzes a second-order decoupled Backward Euler method plus time filter for the evolutionary Stokes/Darcy model, which allows different variable time steps in the free fluid flow region and the porous media flow region. Furthermore, this algorithm, which is a combination of first order Backward Euler method and time filter scheme, uncouples the Stokes/Darcy model into the Stokes and Darcy problems per time step. In particular, adaptive algorithm is constructed to improve the computational efficiency. Moreover, we mainly deduce the stability and error estimation in theoretical analysis. In addition, numerical experiments are used to verify the effectiveness, second order convergence and efficiency.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2023.09.027