Least squares finite element methods for fluid-structure interaction problems

被引：8

作者：

Kayser-Herold, O ^{[1
]}

Matthies, HG ^{[1
]}

机构：

[1] Tech Univ Braunschweig, Inst Comp Sci, D-38106 Braunschweig, Germany

来源：

COMPUTERS & STRUCTURES | 2005年 / 83卷 / 2-3期

关键词：

fluid-structure interaction; least squares finite element methods; ALE-formulation; first order formulation;

D O I：

10.1016/j.compstruc.2004.08.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The first order least squares finite element method is an alternative numerical procedure to standard Galerkin methods for the solution of partial differential equations. Its advantages are mainly the resulting symmetric positive definite matrices and the inherent numerical stability. Several first order formulations were proposed for the incompressible Navier-Stokes equations and for the equations of linear elasticity. Here we analyse which of these methods could provide an efficient and accurate tool for the solution of fluid-structure interaction problems. It seems that the combination of inherent least squares stability and high order ansatz functions is very promising. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：191 / 207

页数：17

共 50 条

[31] Analysis of finite element and finite volume methods for fluid-structure interaction simulation of blood flow in a real stenosed artery [J].

Lopes, D. ;

Agujetas, R. ;

Puga, H. ;

Teixeira, J. ;

Lima, R. ;

Alejo, J. P. ;

Ferrera, C. .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2021, 207

[32] Constrained moving least-squares immersed boundary method for fluid-structure interaction analysis [J].

Qu, Yegao ;

Batra, Romesh C. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2017, 85 (12) :675-692

[33] Investigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods [J].

Khalighi, F. ;

Ahmadi, A. ;

Keramat, A. .

INTERNATIONAL JOURNAL OF ENGINEERING, 2016, 29 (05) :590-598

[34] About Finite Element Analysis of Fluid - Structure Interaction Problems [J].

Belostosky, Alexander M. ;

Akimov, Pavel A. ;

Kaytukov, Taymuraz B. ;

Afanasyeva, Irina N. ;

Usmanov, Anton R. ;

Scherbina, Sergey V. ;

Vershinin, Vladislav V. .

XXIII R-S-P SEMINAR, THEORETICAL FOUNDATION OF CIVIL ENGINEERING (23RSP) (TFOCE 2014), 2014, 91 :37-42

[35] Immersed Methods for Fluid-Structure Interaction [J].

Griffith, Boyce E. ;

Patankar, Neelesh A. .

ANNUAL REVIEW OF FLUID MECHANICS, VOL 52, 2020, 52 :421-448

[36] A least-squares finite element analysis for diffraction problems [J].

Bao, G ;

Yang, HT .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 37 (02) :665-682

[37] Numerical methods for shape optimal design of fluid-structure interaction problems [J].

Haubner, Johannes ;

Ulbrich, Michael .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2024, 432

[38] FINITE ELEMENT MODELING OF THE HUMAN COCHLEA USING FLUID-STRUCTURE INTERACTION METHOD [J].

Xu, Lifu ;

Huang, Xinsheng ;

Ta, Na ;

Rao, Zhushi ;

Tian, Jiabin .

JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY, 2015, 15 (03)

[39] Finite element analysis of fluid-structure interaction for the design of MAV aerodynamic shape [J].

Yu, Y. ;

Yang, Q. ;

Wang, X. .

COMPUTERS & FLUIDS, 2013, 76 :50-57

[40] Monolithic cut finite element-based approaches for fluid-structure interaction [J].

Schott, Benedikt ;

Ager, Christoph ;

Wall, Wolfgang A. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2019, 119 (08) :757-796

← 1 2 3 4 5 →