Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization

被引：10

作者：

Kyburg, Felix E. ^{[1
]}

Rojas, Sergio ^{[2
]}

Calo, Victor M. ^{[3
]}

机构：

[1] Inst Tecnol Buenos Aires, Ctr Mecan Computac, Buenos Aires, DF, Argentina

[2] Pontificia Univ Catolica Valparaiso, Inst Matemat, Valparaiso, Chile

[3] Curtin Univ, Sch Elect Engn Comp & Math Sci, Fac Sci & Engn, Perth, WA, Australia

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2022年 / 123卷 / 08期

基金：

欧盟地平线“2020”;

关键词：

adaptive mesh refinement; incompressibility constraint; inf-sup stability; residual minimization; stabilized finite elements; Stokes flow; COMPUTATIONAL FLUID-DYNAMICS; STOKES PROBLEM; FORMULATION;

D O I：

10.1002/nme.6912

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We model incompressible Stokes flows with an adaptive stabilized finite element method, which solves a discretely stable saddle-point problem to approximate the velocity-pressure pair. Additionally, this saddle-point problem delivers a robust error estimator to guide mesh adaptivity. We analyze the accuracy of different discrete velocity-pressure pairs of continuous finite element spaces, which do not necessarily satisfy the discrete inf-sup condition. We validate the framework's performance with numerical examples.

引用

页码：1717 / 1735

页数：19

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