Journal Article10.1016/j.camwa.2024.03.035
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
3
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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Abstract: In this paper, we propose a second-order adaptive DLN algorithm with different subdomain variable time steps for the 3D closed-loop geothermal system. Theoretically, the stability and convergence of the algorithm in the case of variable time steps are analyzed. In numerical experiments, the DLN algorithm is combined with an adaptive algorithm to verify not only its effectiveness and second-order convergence under any arbitrary sequence of time steps but also to improve computational efficiency. We overcome the difficulty of 3D programming, and verify the applicability and accuracy of the proposed algorithm by simulating the flow characteristics and heat transfer of the closed-loop geothermal system with 3D convection.
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Citations
The Variable Time-stepping DLN-Ensemble Algorithms for Incompressible Navier-Stokes Equations
Wenlong Pei
- 26 Jul 2024
TL;DR: This report proposes variable time-stepping DLN-ensemble algorithms for solving multiple incompressible Navier-Stokes equations, ensuring stability and second-order accuracy under moderate time-step restrictions, with a simple refactorization process and adaptive mechanism for balancing accuracy and computational costs.
The variable time-stepping DLN-ensemble algorithms for incompressible Navier-Stokes equations
Wenlong Pei,Wenlong Pei +1 more
A meshless generalized finite difference method for the closed-loop geothermal system
Xiaotong Han,Lina Song,Cong Xie,Xiaoming He +3 more
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