A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem

被引：3
|
作者：
Cesmelioglu, Aycil [1 ]
Rhebergen, Sander [2 ]
机构：
[1] Oakland Univ, Dept Math & Stat, Rochester, MI USA
[2] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 422卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Navier-Stokes; Darcy flow; Beavers-Joseph-Saffman; Hybridized methods; Discontinuous Galerkin; Multiphysics; FINITE-ELEMENT-METHOD; EQUATIONS;
D O I：
10.1016/j.cam.2022.114923
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite element method for the coupled incompressible Navier-Stokes and Darcy problem with Beavers-Joseph-Saffman interface condition. An a priori error analysis shows that the velocity error does not depend on the pressure, and that velocity and pressure converge with optimal rates. These results are confirmed by numerical examples.(c) 2022 Elsevier B.V. All rights reserved.
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页数：17
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