Spectral Discretization of Darcy Equations Coupled with Navier-Stokes Equations by Vorticity-Velocity-Pressure Formulation

被引：0

作者：

Mabrouki, Yassine ^{[1
]}

Satouri, Jamil ^{[2
,3
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Univ Campus, Tunis 1068, Tunisia

[2] Umm Al Qura Univ, Al Qunfudah Univ Coll, Mecca, Saudi Arabia

[3] Univ Tunis, IPEIT 2 St Jawaher Lel Nahru 1089, Monfleury, Tunisia

来源：

APPLICATIONS OF MATHEMATICS | 2022年 / 67卷 / 04期

关键词：

Navier-Stokes equation; Darcy equation; spectral element; ELEMENT DISCRETIZATION; BOUNDARY-CONDITION; JOSEPH; APPROXIMATION; BEAVERS; MODEL;

D O I：

10.21136/AM.2022.0372-20

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a model coupling the Darcy equations in a porous medium with the Navier-Stokes equations in the cracks, for which the coupling is provided by the pressure's continuity on the interface. We discretize the coupled problem by the spectral element method combined with a nonoverlapping domain decomposition method. We prove the existence of solution for the discrete problem and establish an error estimation. We conclude with some numerical tests confirming the results of our analysis.

引用

页码：445 / 470

页数：26

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