论文期刊

A Hybrid High-Order Method for a Coupled Stokes-Darcy Problem on General Meshes




作者: Yongchao Zhang, Liquan Mei, Rui Li
发表/完成日期: 2020-02-15
期刊名称: Journal of Computational Physics
期卷: 403
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论文简介
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.