A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem

We introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the dual-porosity-Stokes problem. This coupled problem describes the interaction between free flow in macrofractures/conduits, governed by the Stokes equations, and flow in microfractures/matrix, governed by a dual-poros...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2024-07, Vol.165, p.180-195
Main Authors: Cesmelioglu, Aycil, Lee, Jeonghun J., Rhebergen, Sander, Tabaku, Dorisa
Format: Article
Language:English
Subjects:
Coupled problem
Discontinuous Galerkin
Dual-porosity model
Hybridizable
Stokes equations
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Summary:We introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the dual-porosity-Stokes problem. This coupled problem describes the interaction between free flow in macrofractures/conduits, governed by the Stokes equations, and flow in microfractures/matrix, governed by a dual-porosity model. We prove that the HDG method is strongly conservative, well-posed, and give an a priori error analysis showing dependence on the problem parameters. Our theoretical findings are corroborated by numerical examples.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2024.04.004