STAGGERED DG METHOD FOR COUPLING OF THE STOKES AND DARCY-FORCHHEIMER PROBLEMS

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • Lina ZHAO
  • Eric T. CHUNG
  • Eun-Jae PARK
  • Guanyu ZHOU

Detail(s)

Original languageEnglish
Pages (from-to)1-31
Journal / PublicationSIAM Journal on Numerical Analysis
Volume59
Issue number1
Publication statusPublished - Jan 2021
Externally publishedYes

Abstract

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.

Research Area(s)

  • Beavers-Joseph-Saffman interface conditions, Darcy-Forchheimer equations, Highly distorted grids, Nonmatching grids, Staggered DG method, The Stokes equations

Bibliographic Note

Month information for this publication is provided by the author(s) concerned.

Citation Format(s)

STAGGERED DG METHOD FOR COUPLING OF THE STOKES AND DARCY-FORCHHEIMER PROBLEMS. / ZHAO, Lina; CHUNG, Eric T.; PARK, Eun-Jae; ZHOU, Guanyu.

In: SIAM Journal on Numerical Analysis, Vol. 59, No. 1, 01.2021, p. 1-31.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review