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

被引：0
|
作者：
Cesmelioglu, Aycil [1 ]
Lee, Jeonghun J. [2 ]
Rhebergen, Sander [3 ]
Tabaku, Dorisa [1 ]
机构：
[1] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA
[2] Baylor Univ, Dept Math, Waco, TX USA
[3] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 165卷
基金：
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词：
Hybridizable; Discontinuous Galerkin; Dual-porosity model; Stokes equations; Coupled problem; FINITE-ELEMENT-METHOD; COUPLING FLUID-FLOW;
D O I：
10.1016/j.camwa.2024.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：180 / 195
页数：16
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