An embedded-hybridized discontinuous Galerkin method for the coupled Stokes-Darcy system
arXiv:1905.09753 · doi:10.1016/j.cam.2019.112476
Abstract
We introduce an embedded-hybridized discontinuous Galerkin (EDG-HDG) method for the coupled Stokes-Darcy system. This EDG-HDG method is a pointwise mass-conserving discretization resulting in a divergence-conforming velocity field on the whole domain. In the proposed scheme, coupling between the Stokes and Darcy domains is achieved naturally through the EDG-HDG facet variables. \emph{A priori} error analysis shows optimal convergence rates, and that the velocity error does not depend on the pressure. The error analysis is verified through numerical examples on unstructured grids for different orders of polynomial approximation.
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- A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem
- A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem
- A conforming sliding mesh technique for an embedded-hybridized discontinuous Galerkin discretization for fluid-rigid body interaction
- A compatible embedded-hybridized discontinuous Galerkin method for the Stokes--Darcy-transport problem