Bibliographic Details
| Title: |
Multigrid Domain Decomposition Method for the Coupled Navier-Stokes-Darcy Problem. |
| Authors: |
Li, Yuhui1 liyuhui200201@163.com, Zuo, Liyun2 sms_zuoly@ujn.edu.cn |
| Source: |
Engineering Letters. Jul2026, Vol. 34 Issue 7, p3040-3046. 7p. |
| Subjects: |
Domain decomposition methods, Navier-Stokes equations, Multigrid methods (Numerical analysis), Scalability, Groundwater flow, Numerical analysis |
| Abstract: |
In this paper, we propose and analyze a multigrid domain decomposition method for coupling Navier-Stokes-Darcy problem. This method combines the Robin decomposition framework with a multilevel solution strategy. On a coarse grid, we use the Robin-type domain decomposition method to solve the coupling problem first. Then, on a series of refined grids, the interface information of the previous grid is used as an approximate value to solve the Navier-Stokes and Darcy subproblems. This approach effectively integrates the decoupling efficiency of domain decomposition with the computational economy of multigrid methods. Through rigorous theoretical analysis, we establish the well-posedness, convergence, and stability of the algorithm. The scalability of the method is also theoretically verified, demonstrating its robustness for large-scale simulations. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
