An SPH projection method for simulating fluid-hypoelastic structure interaction

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 33-36, 2009, Pages 2785-2795

  Rafiee, Ashkan ^a   Thiagarajan, Krish P ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Artificial stress; Fluid structure interaction; Hypoelasticity; Smoothed Particle Hydrodynamics

Indexed keywords

ARTIFICIAL STRESS; BREAKING DAM; CONTACT SURFACE; COUPLING CONDITION; DAM-BREAKING; ELASTIC PLATE; ELASTIC SOLIDS; FLUID-STRUCTURE INTERACTION PROBLEM; FULLY-COUPLED; HYPOELASTICITY; KEY FEATURE; LARGE DEFORMATIONS; MOMENTUM EQUATION; NUMERICAL RESULTS; PRESSURE POISSON EQUATION; PROJECTION METHOD; SIMULATED RESULTS; SMOOTHED PARTICLE HYDRODYNAMICS; SMOOTHED PARTICLE HYDRODYNAMICS METHODS; SOLID STRUCTURES; SOLID SURFACE; STRUCTURAL DEFORMATION; STRUCTURE INTERACTIONS; TEST CASE; TIME-DEPENDENT; VISCOUS FLUID FLOW; WATER COLUMNS; WATER PRESSURES;

DAMS; DEFORMATION; FLOW OF FLUIDS; FLUID STRUCTURE INTERACTION; FLUIDS; HYDRODYNAMICS; POISSON EQUATION; SURFACES;

FLUID DYNAMICS;

EID: 65849388750     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.04.001     Document Type: Article

References (39)

1. Rugonyi S., and Bathe K.J. On finite element analysis of fluid flows fully coupled with structural interactions. Comput. Model. Engrg. Sci. 2 (2001) 195-212
2. Bathe K.J., and Zhang H. Finite element developments for general fluid flows with structural interactions. Int. J. Numer. Meth. Engrg. 60 (2004) 213-232
3. Le Tallec P., and Mouro J. Fluid structure interaction with large structural displacements. Comput. Meth. Appl. Mech. Engrg. (2000) 1-29
4. Lucy L.B. A numerical approach to the testing of the fission hypothesis. Astron. J. 82 (1977) 1013-1020
5. Gingold R.A., and Monaghan J.J. Smoothed particle hydrodynamics: theory and application to nonspherical stars. Mon. Not. Roy. Astr. Soc. 181 (1977) 375-389
6. Monaghan J.J., and Gingold R.A. Shock simulation by the particle method SPH. J. Comp. Phys. 52 (1983) 374-389
7. Monaghan J.J. Simulating free surface flows with SPH. J. Comp. Phys. 110 (1994) 399-406
8. Takeda H., Miyama S.M., and Sekiya M. Numerical simulation of viscous flow by smoothed particle hydrodynamics. Prog. Theor. Phys. 92 (1994) 939-960
9. Morris J.P., Fox P.J., and Zhu Y. Modeling low Reynolds number incompressible flows using SPH. J. Comp. Phys. 136 (1997) 214-226
10. Rafiee A., Manzari M.T., and Hosseini M. An incompressible SPH method for simulation of unsteady viscoelastic free-surface flows. Int. J. Non-Linear Mech. 42 (2007) 1210-1223
11. Monaghan J.J. Smoothed particle hydrodynamics. Rep. Prog. Phys. 68 (2005) 1703-1759
12. Antoci C., Gallati M., and Sibilla S. Numerical simulation of fluid-structure interaction by SPH. Comput. Struct. 85 (2007) 879-890
13. lee C.J.K., Noguchi H., and Koshizuka S. Fluid-shell structure interaction analysis by coupled particle and finite element method. Comput. Struct. 85 (2007) 688-697
14. Marti J., Idelsohn S., Limache A., Calvo N., and D'Elia J. A fully coupled particle method for quasi-incompressible fluid-hypoelastic structure interactions. Mecánica Comput. XXV (2006) 809-827
15. T. Leurs, The Particle Finite Element Method: Two Alternative Formulations, M.Sc. Thesis, Department of Mathematics and Computing Science, Technical University of Eindhoven, 2007.
16. Idelsohn S., Marti J., Limache A., and Onate E. Unified Lagrangian formulation for elastic solids and incompressible fluids: application to fluid structure interaction problems via the PFEM. Comput. Meth. Appl. Mech. Engrg. 197 (2008) 1762-1776
17. Idelsohn S.R., Marti J., Souto-Iglesias A., and Onate E. Interaction between an elastic structure and free-surface flows: experimental versus numerical comparisons using the PFEM. Comput. Mech. 43 (2008) 125-132
18. Libersky L.D., Petschek A.G., Carney T.C., Hipp J.R., and Allahdadi F.A. High strain Lagrangian hydrodynamics. J. Comp. Phys. 109 (1993) 67-75
19. Gray J.P., Monaghan J.J., and Swift R.P. SPH elastic dynamics. Comput. Meth. Appl. Mech. Engrg. 190 (2001) 6641-6662
20. Monaghan J.J. Smoothed particle hydrodynamics. Ann. Rev. Astron. Astrophys. 30 (1992) 543-574
21. A. Colagrossi, A Meshless Lagrangian Method for FreeSurface and Interface Flows with Fragmentation, Ph.D. Thesis, Department of Mechanical Engineering, University of Rome, 2005.
22. Colagrossi A., and Landrini M. Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J. Comp. Phys. 91 (2003) 448-475
23. Shao S., and Lo E.Y.M. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Adv. Water Res. 26 (2003) 787-800
24. Cummins S.J., and Rudman M. An SPH projection method. J. Comp. Phys. 152 (1999) 584-607
25. E.S. Lee, C. Moulinec, D. Violeau, D. Laurence, P. Stansby, Simulations of 2-D Laminar Flow Past a Bluff Body in a Closed Channel with a Truely Incompressible SPH, 32 nd Congress of IAHR, Venice, Italy, 2007.
26. Swegle J.W., Hicks D.L., and Attaway S.W. Smoothed particle hydrodynamics stability analysis. J. Comp. Phys. 116 (1995) 123-134
27. Monaghan J.J. SPH without a tensile instability. J. Comp. Phys. 159 (2000) 290-311
28. Monaghan J.J. On the problem of penetration in particle methods. J. Comp. Phys. 82 (1989) 1-15
29. Koshizuka S., Oka Y., and Tamako H. A particle method for calculating splashing of incompressible viscous fluid. Int. Conf. Math. Comput. 2 (1995) 1514-1521
30. Koshizuka S., Nobe A., and Oka Y. Numerical analysis of breaking waves using the moving particle semi-implicit method. Int. J. Numer. Meth. Fluids 26 (1998) 751-769
31. Monaghan J.J. Smoothed particle hydrodynamic simulations of shear flow. Mon. Not. Roy. Astron. Soc. 365 (2005) 199-213
32. Koshizuka S., and Oka Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid. J. Nucl. Sci. Engrg. 123 (1996) 421-434
33. Bonet J., and Lok T.S. Variational and momentum preservation aspects of smooth particle hydrodynamic formulation. Comput. Meth. Appl. Mech. Engrg. 180 (1999) 97-115
34. Khayyer A., Gotoh H., and Shao S.D. Corrected incompressible SPH method for accurate water-surface tracking in breaking waves. Coast. Engrg. 55 (2008) 236-250
35. Hosseini S.M., Manzari M.T., and Hannani S.K. A fully explicit three-step SPH algorithm for simulation of non-Newtonian fluid flow. Int. J. Numer. Meth. Heat Fluid Flow 17 (2007) 715-735
36. Martin J.C., and Moyce W.J. An experimental study of the collapsed of liquid columns on a rigid horizontal plane. Phil. Trans. Roy. Soc. London 244 A (1952) 312-324
37. Ritter A. Die fortpflanzung der wasserwellen. Z. Ver. deut. Ing. 36 (1892)
38. Landau L.D., and Lifshitz E.M. Theory of Elasticity; Course of Theoretical Physics vol. 7 (1970), Pergamon Press, Oxford
39. Walhorn E., Kolke A., Hubner B., and Dinkler D. Coupling within a monolithic model involving free surface flows. Comput. Struct. 83 (2005) 2100-2111