The Well-Posedness and Discontinuous Galerkin Approximation for the Non-Newtonian Stokes-Darcy-Forchheimer Coupling System

被引：0

作者：

Hu, Jingyan ^{[1
]}

Zhou, Guanyu ^{[2
,3
]}

机构：

[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610051, Peoples R China

[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610051, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610051, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2023年 / 97卷 / 01期

关键词：

Non-Newtonian flow; Stokes-Darcy-Forchheimer; Nonlinear monotone theory; Discontinuous Galerkin method; Error estimates; Picard iteration; BOUNDARY-CONDITION; NONLINEAR STOKES; ELEMENT-METHOD; FLOW; MODELS; JOSEPH; FLUIDS;

D O I：

10.1007/s10915-023-02344-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the non-Newtonian Stokes-Darcy-Forchheimer system modeling the free fluid coupled with the porous medium flow with shear/velocity-dependent viscosities. The unique existence is proved by using the theory of nonlinear monotone operator and a coupled inf-sup condition. Moreover, we apply the discontinuous Galerkin (DG) method with P-k/Pk-1-DG element for numerical discretization and obtain the well-posedness, stability, and error estimate. For both the continuous and the discrete problem, we explore the convergence of the Picard iteration (or called Kacanov method). The theoretical results are confirmed by the numerical examples.

引用

页数：33