梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
A Hybrid High-Order Method for a Coupled Stokes-Darcy Problem on General Meshes
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:A Hybrid High-Order Method for a Coupled Stokes-Darcy Problem on General Meshes
- Journal:Journal of Computational Physics
- Summary:In this work, a hybrid high-order (HHO) method on general meshes is presented to solve a coupled Stokes-Darcy problem with the Beavers-Joseph-Saffman interface condition. Constructed on polynomials of arbitrary degree k ≥ 0, the numerical method is established in terms of discrete unknowns attached to mesh faces and cells (or elements). The unified discrete scheme for Stokes equation and Darcy equation is given by the continuity condition of the interface. The unique solvability of the discrete scheme is proved. Moreover, the energy error estimate for the velocity and L2-error estimate for pressure of order (k + 1) are derived. Finally, a series of numerical experiments are reported to illustrate the accuracy, mass conservation and robustness of our method.
- Co-author:Yongchao Zhang, Liquan Mei, Rui Li
- Volume:403
- Page Number:109064
- Translation or Not:No
- Date of Publication:2020-02-15