非定常 Stokes/Darcy 模型一种新的time filter 算法的分析

Abstract

Abstract:

Firstly, based on the first-order $\theta$-scheme of the Linear Multistep method for the unsteady Stokes/Darcy model, this paper combines the time filter algorithm to effectively improve the convergence order of the Linear Multistep method from first order to second order almost without increasing the amount of calculation, and a new efficient numerical algorithm is proposed. Secondly, the stability and error estimation of the coupled and decoupled Linear Multistep method plus time filter algorithm are analyzed theoretically. Finally, numerical experiments further demonstrate the effectiveness, convergence and efficiency of the coupled and decoupled algorithms.

Key words: Stokes/Darcy model, Linear Multistep method, Time filter algorithm, Second order convergence

CLC Number:

O241.82

Wang Yang,Li Jian,Li Yi,Qin Yi. Analysis of a New Time Filter Algorithm for the Unsteady Stokes/Darcy Model[J].Acta mathematica scientia,Series A, 2023, 43(3): 829-854.

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References 39

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Analysis of a New Time Filter Algorithm for the Unsteady Stokes/Darcy Model

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