Possibilities of the particle finite element method for fluid-soil-structure interaction problems

Computational Mechanics

Volumn 48, Issue 3, 2011, Pages 307-318

  Oñate, Eugenio ^a   Celigueta, Miguel Angel ^a   Idelsohn, Sergio R ^a   Salazar, Fernando ^a   Suárez, Benjamín ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Fluid soil structure; Interaction; Particle finite element method

Indexed keywords

CALCULATIONS; EROSION; INTERFACES (MATERIALS); ITERATIVE METHODS; PROBLEM SOLVING; SOIL STRUCTURE INTERACTIONS; SOILS;

CONSTITUENT MATERIALS; GOVERNING EQUATIONS; INCREMENTAL-ITERATIVE SCHEMES; INTERACTION; PARTICLE-FINITE ELEMENT METHOD; SOIL STRUCTURE; SOLID-SOLID INTERFACES; UPDATED LAGRANGIAN DESCRIPTION;

FINITE ELEMENT METHOD;

EID: 80052657274     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-011-0617-2     Document Type: Conference Paper

References (48)

1. JF Archard 1953 Contact and rubbing of flat surfaces J Appl Phys 24 8 981 988 10.1063/1.1721448
2. R Aubry SR Idelsohn E Oñate 2005 Particle finite element method in fluid mechanics including thermal convection-diffusion Comput Struct 83 17-18 1459 1475 10.1016/j.compstruc.2004.10.021 (Pubitemid 40574507)
3. S Badia R Codina 2009 On a multiscale approach to the transient Stokes problem transient subscales and anisotropic space-time discretizations Appl Math Comput 207 415 423 2489114 1163.76026 10.1016/j.amc.2008.10.059
4. J Baiges R Codina 2010 The fixed-mesh ALE approach applied to solid mechanics and fluid-structure interaction problems Int J Numer Methods Eng 81 1529 1557 2642819 1183.74258
5. Y Bazilevs VM Calo JA Cottrell TJR Hughes A Reali G Scovazzi 2007 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows Comp Methods Appl Mech Eng 197 173 201 2361475 1169.76352 10.1016/j.cma.2007.07.016 (Pubitemid 47576934)
6. Y Bazilevs M-C Hsu Y Zhang W Wang X Liang T Kvamsdal R Brekken J Isaksen 2010 A fully coupled fluid-structure interaction simulation of cerebral aneurysms Comput Mechan 46 3 16 2644392 05723634 10.1007/s00466-009-0421-4
7. JM Carbonell E Oñate B Suárez 2010 Modeling of ground excavation with the particle finite element method J Eng Mechan (ASCE) 136 4 455 463 10.1061/(ASCE)EM.1943-7889.0000086
8. R Codina 2002 Stabilized finite element approximation of transient incompressible flows using subscales Comput Methods Appl Mech Eng 191 4295 4321 1925888 1015.76045 10.1016/S0045-7825(02)00337-7
9. R Codina H Coppola-Owen P Nithiarasu CB Liu 2006 Numerical comparison of CBS and SGS as stabilization techniques for the incompressible Navier-Stokes equations Int J Numer Methods Eng 66 1672 1689 2230964 1110.76312 10.1002/nme.1697 (Pubitemid 43950293)
10. F Del Pin SR 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)
11. Donea J, Huerta A (2003) Finite element method for flow problems. Wiley, Chichester
12. H Edelsbrunner EP Mucke 1999 Three dimensional alpha shapes ACM Trans Graphics 13 43 72 10.1145/174462.156635
13. HM Fritz WH Hager HE Minor 2001 Lituya Bay case: rockslide impact and wave run-up Sci Tsunami Hazards 19 1 3 22
14. HM Fritz WH Hager HE Minor 2004 Near field characteristics of landslide generated impulse waves J Waterway Port Coast Ocean Eng ASCE 130 6 287 302 10.1061/(ASCE)0733-950X(2004)130:6(287) (Pubitemid 39621997)
15. J García E Oñate 2003 An unstructured finite element solver for ship hydrodynamic problems J Appl Mech 70 18 26 1110.74449 10.1115/1.1530631
16. Idelsohn SR, Oñate E, Del Pin F, Calvo N (2002) Lagrangian formulation: the only way to solve some free-surface fluid mechanics problems. In: Mang HA, Rammerstorfer FG, Eberhardsteiner J (eds) 5th World Congress on Comput Mechanics, July 7-12, Vienna, Austria
17. SR Idelsohn E Oñate N Calvo F Del Pin 2003 The meshless finite element method Int J Numer Methods Eng 58 6 893 912 1035.65129 10.1002/nme.798 (Pubitemid 37262049)
18. SR Idelsohn E Oñate F Del Pin 2003 A lagrangian meshless finite element method applied to fluid-structure interaction problems Comput Struct 81 655 671 10.1016/S0045-7949(02)00477-7
19. SR Idelsohn N Calvo E Oñate 2003 Polyhedrization of an arbitrary point set Comput Methods Appl Mech Eng 192 22-24 2649 2668 1040.65019 10.1016/S0045-7825(03)00298-6 (Pubitemid 36738604)
20. SR 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)
21. SR Idelsohn E Oñate F Del Pin N Calvo 2006 Fluid-structure interaction using the particle finite element method Comput Methods Appl Mech Eng 195 2100 2113 1178.76230 10.1016/j.cma.2005.02.026 (Pubitemid 43193535)
22. SR 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 1194.74415 10.1016/j.cma.2007.06.004 (Pubitemid 351309131)
23. SR Idelsohn M Mier-Torrecilla E Oñate 2009 Multi-fluid flows with the particle finite element method Comput Methods Appl Mech Eng 198 2750 2767 10.1016/j.cma.2009.04.002
24. AA Johnson TE Tezduyar 1999 Advanced mesh generation and update methods for 3-D flow simulations Comput Mech 23 130 143 0949.76049 10.1007/s004660050393
25. A Kovacs G Parker 1994 A new vectorial bedload formulation and its application to the time evolution of straight river channels J Fluid Mech 267 153 183 0800.76485 10.1017/S002211209400114X (Pubitemid 281667)
26. 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 4 385 425 10.1108/02644400810874976 (Pubitemid 351704296)
27. Löhner R (2008) Applied CFD techniques. Wiley, Chichester
28. R Löhner C Yang E Oñate 2007 Simulation of flows with violent free surface motion and moving objects using unstructured grids Int J Numer Methods Fluids 153 1315 1338 10.1002/fld.1244 (Pubitemid 46380585)
29. E Oñate 1998 Derivation of stabilized equations for advective-diffusive transport and fluid flow problems Comput Methods Appl Mech Eng 151 233 267 0916.76060 10.1016/S0045-7825(97)00119-9 (Pubitemid 28061806)
30. E Oñate 2004 Possibilities of finite calculus in computational mechanics Int J Numer Methods Eng 60 1 255 281 1060.76576 10.1002/nme.961
31. E Oñate J García 2001 A finite element method for fluid-structure interaction with surface waves using a finite calculus formulation Comput Methods Appl Mech Eng 191 635 660 0996.76052 10.1016/S0045-7825(01)00306-1 (Pubitemid 34010288)
32. E Oñate SR Idelsohn F Del Pin R Aubry 2004 The particle finite element method: an overview Int J Comput Methods 1 2 267 307 1182.76901 10.1142/S0219876204000204
33. E Oñate A Valls J García 2006 FIC/FEM formulation with matrix stabilizing terms for incompressible flows at low and high Reynold's numbers Comput Mechan 38 4-5 440 455 1160.76027 10.1007/s00466-006-0060-y (Pubitemid 43967452)
34. E Oñate J García SR Idelsohn F Del Pin 2006 FIC formulations for finite element analysis of incompressible flows Eulerian, ALE and Lagrangian approaches Comput Methods Appl Mech Eng 195 23-24 3001 3037 1115.76051 10.1016/j.cma.2004.10.016
35. E Oñate MA Celigueta SR Idelsohn 2006 Modeling bed erosion in free surface flows by the particle finite element method Acta Geotechnia 1 4 237 252 10.1007/s11440-006-0019-3 (Pubitemid 44876466)
36. E Oñate SR Idelsohn MA Celigueta R Rossi 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 19-20 1777 1800 1194.74460 10.1016/j.cma.2007.06.005 (Pubitemid 351309130)
37. E Oñate R Rossi SR Idelsohn K Butler 2010 Melting and spread of polymers in fire with the particle finite element method Int J Numer Methods Eng 81 8 1046 1072 1183.76812
38. Oñate E, Salazar F, Morán R (2011) Modeling of landslides into reservoir with the particle finite element method. Research Report CIMNE No. PI355. Submitted to Int J Numer Methods Geomechan
39. Salazar F, Oñate E, Morán R (2011) Modelación numérica de deslizamientos de ladera en embalses mediante el método de partículas y elementos finitos (PFEM). Rev Int Mét Num Cálc Dis Ing. Accepted for publication
40. Takizawa K, Tezduyar TE (2011) Multiscale space-time fluid-structure interaction techniques. Comput Mechan. doi: 10.1007/s00466-011-0571-z
41. TE Tezduyar S Mittal SE Ray R Shih 1992 Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements Comput Methods Appl Mech Eng 95 221 242 0756.76048 10.1016/0045- 7825(92)90141-6
42. TE Tezduyar 2007 Finite elements in fluids: special methods and enhanced solution techniques Comput Fluids 36 207 223 2288427 1177.76203 10.1016/j.compfluid.2005.02.010 (Pubitemid 44689194)
43. CF Wan R Fell 2004 Investigation of erosion of soils in embankment dams J Geotechn Geoenviron Eng 130 373 380 10.1061/(ASCE)1090-0241(2004)130:4(373) (Pubitemid 38462928)
44. T Yabe K Takizawa TE Tezduyar H-N Im 2007 Computation of fluid-solid and fluid-fluid interfaces with the CIP method based on adaptive Soroban Grids: an overview Int J Numer Methods Fluids 54 841 853 2333012 05169596 10.1002/fld.1473 (Pubitemid 47009682)
45. OC Zienkiewicz PC Jain E Oñate 1978 Flow of solids during forming and extrusion: some aspects of numerical solutions Int J Solids Struct 14 15 38 10.1016/0020-7683(78)90062-8 (Pubitemid 8569950)
46. Zienkiewicz OC, Taylor RL, Zhu JZ (2005) The finite element method. Its basis and fundamentals. Elsevier, Oxford
47. Zienkiewicz OC, Taylor RL (2005) The finite element method for solid and structural mechanics. Elsevier, Oxford
48. Zienkiewicz OC, Taylor RL, Nithiarasu P (2006) The finite element method for fluid dynamics. Elsevier, Oxford