A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem

被引：1

作者：

Cesmelioglu, Aycil ^{[1
]}

Lee, Jeonghun J. ^{[2
]}

Rhebergen, Sander ^{[3
]}

机构：

[1] Oakland Univ, Dept Math & Stat, Rochester, MI USA

[2] Baylor Univ, Dept Math, Waco, TX USA

[3] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2024年 / 58卷 / 04期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

Navier-Stokes equations; Biot's consolidation model; poroelasticity; Beavers-Joseph-Saffman; hybridized methods; discontinuous Galerkin; FINITE-ELEMENT-METHOD; FLUID; CONSOLIDATION; ELASTICITY;

D O I：

10.1051/m2an/2024045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier-Stokes equations coupled to the quasi-static poroelasticity equations via interface conditions. We determine a bound on the data that guarantees stability and well-posedness of the fully discrete problem and prove a priori error estimates. A numerical example confirms our analysis.

引用

页码：1461 / 1495

页数：35

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