@Article{CiCP-37-1008,
author = {Zhou , MingboLi , RuiYan , Wenjing and Chen , Zhangxin},
title = {Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model},
journal = {Communications in Computational Physics},
year = {2025},
volume = {37},
number = {4},
pages = {1008--1054},
abstract = {<p style="text-align: justify;">In this paper, we extend the weighted discontinuous Galerkin finite element method (WDG) on polygonal grids for solving the dual-porosity-Navier-Stokes
model. The Navier-Stokes model describes the free flow in conduits, while the dual-porosity model describes the fluid flow in a medium composed of matrix and microfractures. These two models are coupled through four physically meaningful interface conditions. We obtain the existence and local uniqueness of the solution, as well
as the optimal error estimate, under appropriate small data conditions that maintain
physical properties. Through numerical experiments, the advantages of the numerical
method are verified, such as the optimal convergence rate of the numerical solution to
different mesh types and numerical schemes, the performance of the classical upwind
scheme combined with the Picard iteration method in handling small viscosity problems, the flow around a horizontal production wellbore with open-hole completion,
the different application simulation of multistage hydraulic fractured horizontal wellbore with cased hole completion, as well as the simulation of fluid flow characteristics
around macro-fractures.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2023-0217},
url = {http://global-sci.org/intro/article_detail/cicp/24030.html}
}