Journal Article10.1016/j.camwa.2023.09.027
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model
Yi-Fan Qin,Yang Wang,Lele Chen,Yi Li,Jian Qi Li +4 more
- 01 Nov 2023
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TL;DR: A second-order adaptive time filter algorithm is proposed for the evolutionary Stokes/Darcy model, allowing variable time steps in fluid and porous media regions, with stability and error estimation analysis and numerical experiments verifying its effectiveness and efficiency.
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Abstract: 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.
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Citations
An Adaptive Time Filter Algorithm with Different Subdomain Time Steps for Super-Hydrophobic Proppants Based on the 3D Unsteady-State Triple-Porosity Stokes Model
Jian Li,Wenyan Song,Yi Qin,Zhangxin Chen +3 more
A second-order adaptive DLN algorithm with different subdomain variable time steps for the 3D closed-loop geothermal system
Lele Chen,Xinyue Gao,Yang Wang,Yi Li,Jian Qi Li +4 more
- 01 Jul 2024
TL;DR: A second-order adaptive DLN algorithm is proposed for 3D closed-loop geothermal systems, with variable time steps, and analyzed for stability and convergence, demonstrating effectiveness, second-order convergence, and improved computational efficiency in numerical experiments.
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