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

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 19-20, 2008, Pages 1762-1776

  Idelsohn, S R ^a   Marti, J ^b   Limache, A ^b   Onate E ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

Author keywords

Fluid structure; Lagrangian formulation; Particle finite element method

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

ELASTIC SOLIDS; FREE SURFACE FLOWS; INCOMPRESSIBLE FLUIDS; LAGRANGIAN FORMULATION;

FLUID STRUCTURE INTERACTION;

ELASTICITY; FINITE ELEMENT METHOD; FLUID STRUCTURE INTERACTION; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

EID: 39749170513     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.06.004     Document Type: Article

References (20)

1. Aubry R., Idelsohn S.R., and Oñate E. Particle finite element method in fluid mechanics including thermal convection-diffusion. Comp. Struct. 83 17-18 (2005) 1459-1475
2. Edelsbrunner H., and Mucke E.P. Three dimensional alpha shapes. ACM Trans. Graphics 13 (1999) 43-72
3. S.R. Idelsohn, E. Oñate, F. Del Pin, N. Calvo, Lagrangian formulation: the only way to solve some free-surface fluid mechanics problems, in: H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner, (Eds.), Fifth World Congress on Computational Mechanics, Viena, Austria, July 2002, pp. 7-12.
4. Idelsohn S.R., Oñate E., Calvo N., and Del Pin F. The meshless finite element method. Int. J. Num. Methods Engrg. 58 6 (2003) 893-912
5. Idelsohn S.R., Oñate E., and Del Pin F. A lagrangian meshless finite element method applied to fluid-structure interaction problems. Comp. Struct. 81 (2003) 655-671
6. Idelsohn S.R., Calvo N., and Oñate E. Polyhedrization of an arbitrary point set. Comput. Method Appl. Mech. Engrg. 192 22-24 (2003) 2649-2668
7. Idelsohn S.R., Oñate E., and Del Pin F. The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Int. J. Num. Methods Engrg. 61 (2004) 964-989
8. Koshizuka S., Tamko H., and Oka Y. A particle method for incompressible viscous flow with fluid fragmentation. Comp. Fluid Dyn. J. 4 1 (1995) 29-46
9. Oñate E. Derivation of stabilized equations for advective-diffusive transport and fluid flow problems. Comput. Methods Appl. Mech. Engrg. 151 (1998) 233-267
10. Oñate E. A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation. Comp. Methods Appl. Mech. Engrg. 182 1-2 (2000) 355-370
11. Oñate E. Possibilities of finite calculus in computational mechanics. Int. J. Num. Methods Engrg. 60 1 (2004) 255-281
12. Oñate E., and Garci{dotless}́a J. A finite element method for fluid-structure interaction with surface waves using a finite calculus formulation. Comput. Methods Appl. Mech. Engrg. 191 (2001) 635-660
13. Oñate E., Idelsohn S.R., and Del Pin F. Lagrangian formulation for incompressible fluids using finite calculus and the finite element method. In: Kuznetsov Y., Neittanmaki P., and Pironneau O. (Eds). Numerical Methods for Scientific Computing Variational Problems and Applications (2003), CIMNE, Barcelona
14. Oñate E., Garci{dotless}́a J., and Idelsohn S.R. Ship hydrodynamics. In: Stein E., de Borst R., and Hughes T.J.R. (Eds). Encyclopedia of Computational Mechanics (2004), John Wiley
15. Oñate E., Idelsohn S.R., Del Pin F., and Aubry R. The particle finite element method. An overview. Int. J. Comput. Methods 1 2 (2004) 267-307
16. Farhat Ch., Kristoffer G., Zee V., and Geozine Ph. Probably second-order time accurate loosely-coupled solution algorithm for transient nonlinear computational aeroelasticity. Comput. Methods Appl. Mech. Engrg. 195 17-18 (2006) 1973-2001
17. Foster Ch., Wall W.A., and Ramm E. Artificial added mass instabiliting in sequential staggered coupling of nonlinear structures and incompressible flows. Comput. Methods Appl. Mech. Engrg. 196 (2007) 1278-1293
18. R. Lohner, A Parallel Advancing Front Grid Generation Scheme, AIAA, 00-1005, 2000.
19. Walhorn E., Kolke A., Hubner B., and Dinkler D. Fluid-structure coupling with monolithic model involving free surface flows. Comp. Struct. 83 (2005) 2100-2111
20. Greenshields C.J., and Weller H.G. A unified formulation for continuum mechanics applied to fluid-structure interaction in flexible tubes. Int. J. Num. Methods Engrg. 64 (2005) 1575-1593