Staggered DG method for coupling of the stokes and darcy-forchheimer problems

Lina Zhao, Eric T. Chung, Eun Jae Park, Guanyu Zhou

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


In this paper we develop a staggered discontinuous Galerkin method for the Stokes and Darcy-Forchheimer problems coupled with the Beavers-Joseph-Saffman conditions. The method is defined by imposing staggered continuity for all the variables involved and the interface conditions are enforced by switching the roles of the variables met on the interface, which eliminate the hassle of introducing additional variables. This method can be flexibly applied to rough grids such as the highly distorted grids and the polygonal grids. In addition, the method allows nonmatching grids on the interface thanks to the special inclusion of the interface conditions, which is highly appreciated from a practical point of view. A new discrete trace inequality and a generalized Poincaré-Friedrichs inequality are proved, which enables us to prove the optimal convergence estimates under reasonable regularity assumptions. Finally, several numerical experiments are given to illustrate the performances of the proposed method, and the numerical results indicate that the proposed method is accurate and efficient, and in addition, it is a good candidate for practical applications.

Original languageEnglish
Pages (from-to)1-31
Number of pages31
JournalSIAM Journal on Numerical Analysis
Issue number1
Publication statusPublished - 2021

Bibliographical note

Publisher Copyright:
© 2021 Society for Industrial and Applied Mathematics.

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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