Unified Lagrangian formulation for elastic solids and incompressible fluids:: Application to fluid-structure interaction problems via the PFEM

被引:215
作者
Idelsohn, S. R. [1 ]
Marti, J. [2 ,3 ]
Limache, A. [2 ,3 ]
Onate, E. [1 ]
机构
[1] Univ Politecn Cataluna, CIMNE, Barcelona 08034, Spain
[2] Univ Nacl Litoral, CIMEC, RA-3450 Guemes, Santa Fe, Argentina
[3] Consejo Nacl Invest Cient & Tecn, RA-3450 Guemes, Santa Fe, Argentina
关键词
Lagrangian formulation; fluid-structure; particle finite element method;
D O I
10.1016/j.cma.2007.06.004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a general Lagrangian formulation for treating elastic solids and quasi/fully incompressible fluids in a unified form. The formulation allows to treat solid and fluid subdomains in a unified manner in fluid-structure interaction (FSI) situations. In our work the FSI problem is solved via the particle finite element method (PFEM). The PFEM is an effective technique for modeling complex interactions between floating and submerged bodies and free surface flows, accounting for splashing of waves, large motions of the bodies and frictional contact conditions. Applications of the unified Lagrangian formulation to a number of FSI problems are given. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:1762 / 1776
页数:15
相关论文
共 20 条
[1]   Particle finite element method in fluid-mechanics including thermal convection-diffusion [J].
Aubry, R ;
Idelsohn, SR ;
Oñate, E .
COMPUTERS & STRUCTURES, 2005, 83 (17-18) :1459-1475
[2]   3-DIMENSIONAL ALPHA-SHAPES [J].
EDELSBRUNNER, H ;
MUCKE, EP .
ACM TRANSACTIONS ON GRAPHICS, 1994, 13 (01) :43-72
[3]   Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity [J].
Farhat, C ;
van der Zee, KG ;
Geuzaine, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (17-18) :1973-2001
[4]   Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows [J].
Foerster, Christiane ;
Wall, Wolfgang A. ;
Ramm, Ekkehard .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (07) :1278-1293
[5]   A unified formulation for continuum mechanics applied to fluid-structure interaction in flexible tubes [J].
Greenshields, CJ ;
Weller, HG .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 64 (12) :1575-1593
[6]   The particle finite element method:: a powerful tool to solve incompressible flows with free-surfaces and breaking waves [J].
Idelsohn, SR ;
Oñate, E ;
Del Pin, F .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 61 (07) :964-989
[7]   The meshless finite element method [J].
Idelsohn, SR ;
Oñate, E ;
Calvo, N ;
Del Pin, F .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 58 (06) :893-912
[8]   Polyhedrization of an arbitrary 3D point set [J].
Idelsohn, SR ;
Calvo, N ;
Oñate, E .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (22-24) :2649-2667
[9]   A Lagrangian meshless finite element method applied to fluid-structure interaction problems [J].
Idelsohn, SR ;
Oñate, E ;
Del Pin, F .
COMPUTERS & STRUCTURES, 2003, 81 (8-11) :655-671
[10]  
IDELSOHN SR, 2002, 5 WORLD C COMP MECH, P7