Finite calculus formulations for finite element analysis of incompressible flows.: Eulerian, ALE and Lagrangian approaches

被引：47

作者：

Oñate, E ^{[1
]}

García, J ^{[1
]}

Idelsohn, SR ^{[1
]}

Del Pin, F ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Int Ctr Numer Methods Engn, Barcelona 08034, Spain

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 23-24期

关键词：

stabilized formulation; incompressible fluid; finite calculus; finite element method; particle finite element method; fluid-structure interaction; Lagrangian flow;

D O I：

10.1016/j.cma.2004.10.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a general formulation for incompressible fluid flow analysis using the finite element method (FEM). The standard Eulerian formulation is described first. The necessary stabilization for dealing with convective effects and the incompressibility condition are introduced via the finite calculus (FIC) method. A simple extension of the fluid flow equations to an arbitrary Lagrangian-Eulerian (ALE) frame adequate for treating fluid-structure interaction problems is briefly presented. A fully Lagrangian formulation called the particle finite element method (PFEM) is also described. The PFEM is particularly attractive for fluid-structure interaction problems involving large motions of the free surface and breaking waves. Examples of application of the Eulerian, the ALE and the fully lagrangian PFEM formulations are presented. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：3001 / 3037

页数：37

共 50 条

[31] Finite element analysis of transient thermomechanical rolling contact using an efficient arbitrary Lagrangian-Eulerian description [J].

Draganis, Andreas ;

Larsson, Fredrik ;

Ekberg, Anders .

COMPUTATIONAL MECHANICS, 2014, 54 (02) :389-405

[32] A stabilized finite element formulation for high-speed inviscid compressible flows using finite calculus [J].

Kouhi, Mohammad ;

Onate, Eugenio .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2014, 74 (12) :872-897

[33] Axisymmetric Lagrangian Finite Element Analysis for Liquid Sloshing [J].

Yoshida, Shoichi ;

Sekine, Kazuyoshi ;

Tsuchida, Tomohiko ;

Iwata, Katsuki .

DYNAMICS FOR SUSTAINABLE ENGINEERING, VOL 2, 2011, :718-727

[34] Stabilized finite element schemes with LBB-stable elements for incompressible flows [J].

Gelhard, T ;

Lube, G ;

Olshanskii, MA ;

Starcke, JH .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 177 (02) :243-267

[35] A PRECONDITIONER FOR THE FINITE ELEMENT APPROXIMATION TO THE ARBITRARY LAGRANGIAN-EULERIAN NAVIER-STOKES EQUATIONS [J].

Nordsletten, David ;

Smith, Nicolas ;

Kay, David .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (02) :521-543

[36] Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow [J].

Garcke, Harald ;

Nurnberg, Robert ;

Zhao, Quan .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 155 :209-223

[37] An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena [J].

Kuhl, E ;

Hulshoff, S ;

de Borst, R .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 57 (01) :117-142

[38] A hybrid finite volume/finite element method for incompressible generalized Newtonian fluid flows on unstructured triangular meshes [J].

Gao, Wei ;

Liu, Ruxun .

ACTA MECHANICA SINICA, 2009, 25 (06) :747-760

[39] Eulerian finite volume formulation using Lagrangian marker particles for incompressible fluid-structure interaction problems [J].

Shimada, Tokimasa ;

Nishiguchi, Koji ;

Bale, Rahul ;

Okazawa, Shigenobu ;

Tsubokura, Makoto .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2022, 123 (05) :1294-1328

[40] A hybrid finite volume/finite element method for incompressible generalized Newtonian fluid flows on unstructured triangular meshes [J].

Wei Gao ;

Ruxun Liu .

Acta Mechanica Sinica, 2009, 25 :747-760

← 1 2 3 4 5 →