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.

引用

页码：180 / 195

页数：16

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