A monolithic Lagrangian approach for fluid-structure interaction problems

Computational Mechanics

Volumn 46, Issue 6, 2010, Pages 883-899

  Ryzhakov, P B ^a   Rossi, R ^a   Idelsohn, S R ^b   Onate E ^a  

^a INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

^b INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

Author keywords

CFD; Fluid structure interaction; Lagrangian fluids; Monolithic FSI; PFEM

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLEXIBLE STRUCTURES; LAGRANGE MULTIPLIERS; LINEAR SYSTEMS;

DISPLACEMENT-BASED FORMULATIONS; EFFICIENT IMPLEMENTATION; FLUID-STRUCTURE INTERACTION PROBLEM; LA-GRANGIAN APPROACHES; LAGRANGIAN FLUIDS; LINEAR SYSTEM OF EQUATIONS; MONOLITHIC FSI; PFEM;

FLUID STRUCTURE INTERACTION;

EID: 77956746013     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-010-0522-0     Document Type: Article

References (36)

1. U Küttler W Wall 2008 Fixed-point fluid-structure interaction solvers with dynamic relaxation Computational Mechanics 43 61 72 05599785 10.1007/s00466-008-0255-5
2. SR Idelsohn F Del Pin R Rossi E Oñate 2009 Fluid-structure interaction problems with strong added-mass effect Int J Numer Methods Eng 80 10 1261 1294 1183.74059 10.1002/nme.2659
3. TJR Hughes WK Liu TK Zimmermann 1981 Lagrangian-Eulerian finite element formulation for incompressible viscous flows CMAME 29 329 349 0482.76039 659925
4. Donea J, Huerta A (2003) Finite element method for flow problems. Wiley edition, New York
5. R Rossi E Oñate 2010 Analysis of some partitioned algorithms for fluid-structure interaction Eng Comput 27 20 56 10.1108/02644401011008513
6. TE Tezduyar M Behr J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: I. the concept and the preliminary numerical tests CMAME 94 339 351 0745.76044 1153059
7. TE Tezduyar M Behr S Mittal J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: II. computation of free-surface flows, two-liquid flows, and flows with drifting cylinders CMAME 94 353 371 0745.76045 1153060
8. S Mittal TE Tezduyar 1995 Parallel finite element simulation of 3D incompressible flows: fluid-structure interactions IJNMF 21 933 953 0873.76047
9. TE Tezduyar S Sathe R Keedy K Stein 2006 Space-time finite element techniques for computation of fluid-structure interactions CMAME 195 2002 2027 1118.74052 2202912
10. TE Tezduyar S Sathe 2007 Modeling of fluid-structure interactions with the space-time finite elements: solution techniques IJNMF 54 855 900 1144.74044 2333013 (Pubitemid 47009683)
11. Y Bazilevs VM Calo TJR Hughes Y Zhang 2008 Isogeometric fluid-structure interaction: theory, algorithms, and computations Comput Mech 43 3 37 1169.74015 10.1007/s00466-008-0315-x 2443159
12. A Gerstenberger W Wall 2008 An extended finite element/ Lagrange multiplier based approach for fluid-structure interaction Comput Methods Appl Mech Eng 197 1699 1714 10.1016/j.cma.2007.07.002 2399863 (Pubitemid 351309132)
13. F Del Pin S Idelsohn E Oñate R Aubry 2007 The ALE/Lagrangian particle finite element method: a new approach to computation of free-surface flows and fluid object interactions Comput Fluids 36 27 38 1181.76095 10.1016/j.compfluid.2005.06.008 (Pubitemid 44615416)
14. A Legay J Chessa T Belytschko 2006 An Eulerian-Lagrangian method for fluid-structure interaction based on level-sets Int J Numer Methods Eng 195 2070 2087 1119.74053 2202914
15. A Gerstenberger W Wall 2008 An extended finite element/ lagrange multiplier based approach for fluid-structure interaction Comput Methods Appl Mech Eng 197 1699 1714 10.1016/j.cma.2007.07.002 2399863 (Pubitemid 351309132)
16. Osher SJ, Fedkiw RP (2006) Level set methods and dynamic implicit surfaces. Springer edition, Berlin
17. Belytschko T, Liu WK, Moran B (2003) Nonlinear finite elements for Continua and Structures. Wiley edition, New York
18. E Oñate S Idelsohn F Del Pin R Aubry 2004 The particle finite element method: an overview Int J Comput Methods 1 267 307 1182.76901 10.1142/S0219876204000204
19. S Idelsohn E Oñate F Del Pin 2004 The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves Int J Numer Methods Eng 61 964 989 1075.76576 10.1002/nme.1096 (Pubitemid 39403765)
20. MA Celigueta E Oñate F Del Pin SR Idelsohn 2005 Possibilities of the particle finite element method (pfem) for hydrodynamic and fluid-structure interaction analysis of port structures WIT Trans Built Environ 79 437 445
21. S Idelsohn J Marti A Limache E Oñate 2008 Unified Lagrangian formulation for elastic solids and incompressible fluids. Application to fluid-structure interaction problems via the pfem Comput Methods Appl Mech Eng 197 1762 1776 10.1016/j.cma.2007.06.004 (Pubitemid 351309131)
22. A Larese R Rossi E Oñate SR Idelsohn 2008 Validation of the particle finite element method (pfem) for simulation of free surface flows Eng Comput 25 385 425 10.1108/02644400810874976 (Pubitemid 351704296)
23. R Rossi P Ryzhakov E Oñate 2009 A monolithic fe formulation for the analysis of membranes in fluids Spatial Struct 24 4 205 210 10.1260/026635109789968263
24. Oñate E, Idelsohn S, Celigueta M, Rossi R (2008) Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free surface flows. Comput Methods Appl Mech Eng 197
25. SR Idelsohn N Calvo E Oñate 2003 Polyhedrization of an arbitrary an arbitrary point set J Comput Methods Appl Mech Eng 192 2649 2668 1040.65019 10.1016/S0045-7825(03)00298-6 (Pubitemid 36738604)
26. Akkiraju N, Edelsbrunner H, Facello M, Fu P, Mucke EP, Varela C (1995) Alpha shapes: definition and software. In: Proceedings of international computational geometry software workshop
27. A Limache SR Idelsohn R Rossi E Oñate 2007 The violation of objectivity in Laplace formulations of the Navier-Stokes equations Int J Numer Methods Fluid 54 639 664 05169585 10.1002/fld.1480 (Pubitemid 47009672)
28. EA Souza Neto D Peric M Dutko DRJ Owen 1996 Design of simple low order finite elements for large strain analysis of nearly incompressible solids Int J Solids Struct 33 3277 3296 0929.74102 10.1016/0020-7683(95)00259-6
29. F Brezzi KJ Bathe 1990 A discourse on the stability conditions for mixed finite element formulations Comput Methods Appl Mech Eng 82 27 57 0736.73062 10.1016/0045-7825(90)90157-H 1077650
30. Hughes T (2000) The finite element method. Linear static and dynamic FE analysis. Dover edition, New York
31. Gresho PM, Sani RL (1998) Incompressible flow and the finite element method. Wiley, New York
32. Zienkiewicz OS, Taylor RL, Nithiarasu P (2009) The finite element method for Fluid Dynamics, 6th edn, 3 volumes. Elsevier Butterworth Gheinemann edition, Amsterdam
33. Dadvand P, Rossi R, Oñate E, An object-oriented environment for developing finite element codes for multi-disciplinary applications. Arch Comput Methods Eng (to appear)
34. B Hübner E Walhorn D Dinkler 2004 A monolithic approach to fluid-structure interaction using space-time finite elements Comput Methods Appl Mech Eng 193 23 26 10.1016/j.cma.2004.01.024 (Pubitemid 38503349)
35. E Walhorn A Kolke B Hubner D Dinkler 2005 Fluid-structure coupling within monolithic model involving free surface flow Comput Struct 83 2100 2111 10.1016/j.compstruc.2005.03.010 (Pubitemid 41084677)
36. C Antoci M Gallati S Sibilla 2007 Numerical simulation of fluid structure interaction by sph J Comput Struct 85 879 890 10.1016/j.compstruc.2007.01.002 (Pubitemid 46722722)