Journal of Hydrodynamics

, Volume 30, Issue 1, pp 49–61 | Cite as

Towards development of enhanced fully-Lagrangian mesh-free computational methods for fluid-structure interaction

  • Abbas Khayyer
  • Hitoshi Gotoh
  • Hosein Falahaty
  • Yuma Shimizu
Special Column on SPHERIC2017 (Guest Editors Mou-bin Liu, Can Huang, A-man Zhang)


Simulation of incompressible fluid flow-elastic structure interactions is targeted by using fully-Lagrangian mesh-free computational methods. A projection-based fluid model (moving particle semi-implicit (MPS)) is coupled with either a Newtonian or a Hamiltonian Lagrangian structure model (MPS or HMPS) in a mathematically-physically consistent manner. The fluid model is founded on the solution of Navier-Stokes and continuity equations. The structure models are configured either in the framework of Newtonian mechanics on the basis of conservation of linear and angular momenta, or Hamiltonian mechanics on the basis of variational principle for incompressible elastodynamics. A set of enhanced schemes are incorporated for projection-based fluid model (Enhanced MPS), thus, the developed coupled solvers for fluid structure interaction (FSI) are referred to as Enhanced MPS-MPS and Enhanced MPS-HMPS. Besides, two smoothed particle hydrodynamics (SPH)-based FSI solvers, being developed by the authors, are considered and their potential applicability and comparable performance are briefly discussed in comparison with MPS-based FSI solvers. The SPH-based FSI solvers are established through coupling of projection-based incompressible SPH (ISPH) fluid model and SPH-based Newtonian/Hamiltonian structure models, leading to Enhanced ISPH-SPH and Enhanced ISPH-HSPH. A comparative study is carried out on the performances of the FSI solvers through a set of benchmark tests, including hydrostatic water column on an elastic plate, high speed impact of an elastic aluminum beam, hydroelastic slamming of a marine panel and dam break with elastic gate.


Fluid structure interaction (FSI) projection-based method moving particle semi-implicit incompressible smoothed particle hydrodynamics (ISPH) Hamiltonian MPS (HMPS) Hamiltonian SPH (HSPH) 


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  1. [1]
    Lucy L. B. A numerical approach to the testing of fission hypothesis [J]. Astronomical Journal, 1997, 82: 1013–1024.CrossRefGoogle Scholar
  2. [2]
    Gingold R. A., Monaghan J. J. Smoothed particle hydrodynamics: Theory and application to non-spherical stars [J]. Monthly Notices of the Royal Astronomical Society, 1977, 181: 375–389.CrossRefzbMATHGoogle Scholar
  3. [3]
    Koshizuka S., Oka Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid [J]. Nuclear Science and Engineering, 1996, 123: 421–434.CrossRefGoogle Scholar
  4. [4]
    Fourey G. Développement d’une méthode de couplage fluide structure SPH Eléments Finis en vue de son application à l’hydrodynamique navale [D]. Doctoral Thesis, Nantes, France: Ecole Centralede Nantes, 2012.Google Scholar
  5. [5]
    Fourey G., Oger G., Le Touzé D. et al. Violent fluidstructure interaction simulations using a coupled SPH/FEM method [J]. IOP Conference Series: Materials Science and Engineering, 2010, 10(1): 012041.CrossRefGoogle Scholar
  6. [6]
    Li Z., Leduc J., Nunez-Ramirez J. et al. A non-intrusive partitioned approach to couple smoothed particle hydrodynamics and finite element methods for transient fluidstructure interaction problems with large interface motion [J]. Computational Mechanics, 2015, 55(4): 697–718.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    Fourey G., Hermange C., Le Touzé D. et al. An efficient FSI coupling strategy between smoothed particle hydrodynamics and finite element methods [J]. Computer Physics Communications, 2017, 217: 66–81.MathSciNetCrossRefGoogle Scholar
  8. [8]
    Antoci C., Gallati M., Sibilla S. Numerical simulation of fluid-structure interaction by SPH [J]. Computers and Structures, 2007, 85(11-14): 879–890.CrossRefGoogle Scholar
  9. [9]
    Rafiee A., Thiagarajan K. P. An SPH projection method for simulating fluid-hypoelastic structure interaction [J]. Computer Methods in Applied Mechanics and Engineering, 2009, 198(33-36): 2785–2795.CrossRefzbMATHGoogle Scholar
  10. [10]
    Oger G., Brosset L., Guilcher P. M. et al. Simulations of hydro-elastic impacts using a parallel SPH model [J]. International Journal of Offshore and Polar Engineering, 2010, 20(3): 181–189.Google Scholar
  11. [11]
    Eghtesad A., Shafiei A. R., Mahzoon M. A new fluid–solid interface algorithm for simulating fluid structure problems in FGM plates [J]. Journal of Fluids and Structures, 2012, 30: 141–158.CrossRefGoogle Scholar
  12. [12]
    Hwang S. C., Khayyer A., Gotoh H. et al. Development of a fully Lagrangian MPS-based coupled method for simulation of fluid-structure interaction problems [J]. Journal of Fluids and Structures, 2014, 50: 497–511.CrossRefGoogle Scholar
  13. [13]
    Hwang S. C., Park J. C., Gotoh H. et al. Numerical simulations of sloshing flows with elastic baffles by using a particle-based fluid-structure interaction analysis method [J]. Ocean Engineering, 2016, 118: 227–241.CrossRefGoogle Scholar
  14. [14]
    Khayyer A., Falahaty H., Gotoh H. et al. An enhanced coupled Lagrangian solver for incompressible fluid and non-linear elastic structure interactions [J]. Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering), 2016, 72(2): 1117–1122.CrossRefGoogle Scholar
  15. [15]
    Khayyer A., Gotoh H., Falahaty H. et al. Towards development of a reliable fully-Lagrangian MPS-based FSI solver for simulation of 2D hydroelastic slamming [J]. Ocean Systems Engineering, 2017, 7(3): 299–318.Google Scholar
  16. [16]
    Foias C., Manley O., Rosa R. et al. Navier-Stokes equations and turbulence [M]. Cambridge, UK: Cambridge University Press, 2001, 364.CrossRefzbMATHGoogle Scholar
  17. [17]
    Bonet J., Lok T. S. L. Variational and momentum preservation aspects of smooth particle hydrodynamic formulations [J]. Computer Methods in Applied Mechanics and Engineering, 1999, 180(1-2): 97–115.MathSciNetCrossRefzbMATHGoogle Scholar
  18. [18]
    Marsden J. E., Hughes T. J. R. Mathematical foundations of elasticity [M]. New York, USA: Dover publication Inc., 1983, 556.Google Scholar
  19. [19]
    Kondo M., Suzuki Y., Koshizuka S. Suppressing localparticle oscillations in the Hamiltonian particle method for elasticity [J]. International Journal for Numerical Methods in Engineering, 2010, 81: 1514–1528.MathSciNetzbMATHGoogle Scholar
  20. [20]
    Kondo M., Tanaka M., Harada T. et al. Elastic objects for computer graphic field using MPS method [C]. The 34th Annual Meeting of the Association for Computing Machineryʼs Special Interest Group on Graphics, San Diego, USA, 2007.Google Scholar
  21. [21]
    Suzuki Y., Koshizuka S. A Hamiltonian particle method for non-linear elastodynamics [J]. International Journal for Numerical Methods in Engineering, 2008, 74(8): 1344–1373.MathSciNetCrossRefzbMATHGoogle Scholar
  22. [22]
    Gotoh H., Khayyer A. Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering [J]. Journal of Ocean Engineering and Marine Energy, 2016, 2(3): 251–278.CrossRefGoogle Scholar
  23. [23]
    Gotoh H., Okayasu A. Computational wave dynamics for innovative design of coastal structures [J]. Proceedings of the Japan Academy Ser. B, 2017, 93(9): 525–546.CrossRefGoogle Scholar
  24. [24]
    Khayyer A., Gotoh H., Shimizu Y. et al. On enhancement of energy conservation properties of projection-based particle methods [J]. European Journal of Mechanics-B/Fluids, 2017, 66: 20–37.MathSciNetCrossRefGoogle Scholar
  25. [25]
    Khayyer A., Gotoh H., Shimizu Y. Comparative study on accuracy and conservation properties of two particle regularization schemes and proposal of an optimized particle shifting scheme in ISPH context [J]. Journal of Computational Physics, 2017, 332: 236–256.MathSciNetCrossRefzbMATHGoogle Scholar
  26. [26]
    Shao S., Lo E. Y. M. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface [J]. Advances in Water Resources, 2003, 26(7): 787–800.CrossRefGoogle Scholar
  27. [27]
    Gotoh H., Okayasu A., Watanabe Y. Computational wave dynamics (Advanced series on ocean engineering) [M]. Singapore: World Scientific, 2013, 234.CrossRefzbMATHGoogle Scholar
  28. [28]
    Liu G. R., Liu M. B. Smoothed particle hydrodynamics: A meshfree particle method [M]. Singapore: World Scientific, 2003, 472.CrossRefzbMATHGoogle Scholar
  29. [29]
    Violeau D. Fluid mechanics and the SPH method, theory and applications [M]. Oxford, UK: Oxford University Press, 2012, 616.CrossRefzbMATHGoogle Scholar
  30. [30]
    Monaghan J. J. Smoothed particle hydrodynamics [J]. Reports on Progress in Physics, 2005, 68(8): 1703–1759.MathSciNetCrossRefGoogle Scholar
  31. [31]
    Liu M. B., Li S. M. On the modeling of viscous incompressible flows with smoothed particle hydrodynamics [J]. Journal of Hydrodynamics, 2016, 28(5): 731–745.CrossRefGoogle Scholar
  32. [32]
    Koshizuka S. Current achievements and future perspectives on particle simulation technologies for fluid dynamics and heat transfer [J]. Journal of Nuclear Science and Technology, 2011, 48(2): 155–168.MathSciNetCrossRefGoogle Scholar
  33. [33]
    Zhang A. M., Sun P. N., Ming F. R. et al. Smoothed particle hydrodynamics and its applications in fluidstructure interactions [J]. Journal of Hydrodynamics, 2017, 29(2): 187–216.CrossRefGoogle Scholar
  34. [34]
    Gray J. P., Monaghan J. J., Swift R. P. SPH elastic dynamics [J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190(49-50): 6641–6662.CrossRefzbMATHGoogle Scholar
  35. [35]
    Scolan Y. M. Hydroelastic behavior of a conical shell impacting on a quiescent-free surface of an incompressible liquid [J]. Journal of Sound and Vibration, 2004, 277(1-2): 163–203.CrossRefGoogle Scholar
  36. [36]
    Allen T. Mechanics of flexible composite hull panels subjected to water impacts [D]. Doctoral Thesis, Auckland,New Zealand: University of Auckland, 2013.Google Scholar
  37. [37]
    Stenius I., Rosén A., Battley M. et al. Experimental hydroelastic characterization of slamming loaded marine panels [J]. Ocean Engineering, 2013, 74: 1–15.CrossRefGoogle Scholar
  38. [38]
    Battley M., Allen T., Pehrson P. et al. Effects of panel stiffness on slamming responses of composite hull panels [C]. 17th International Conference Composite Materials, Edinburgh International Convention Centre (EICC), Edinburgh, UK, 2009.Google Scholar
  39. [39]
    Koshizuka S. Ryushiho (Particle method) [M]. Tokyo, Japan: Maruzen, 2005(in Japanese).Google Scholar
  40. [40]
    Belytschko T., Guo Y., Liu W. K. et al. A unified stability analysis of meshless particle methods [J]. International Journal for Numerical Methods in Engineering, 2000, 48(9): 1359–1400.MathSciNetCrossRefzbMATHGoogle Scholar
  41. [41]
    Belytschko T., Xiao S. P. Stability analysis of particle methods with corrected derivatives [J]. Computers and Mathematics with Applications, 2002, 43(3-5): 329–350.MathSciNetCrossRefzbMATHGoogle Scholar
  42. [42]
    Vignjevic R., Campbell J., Libersky L. D. A treatment of zero-energy modes in the smoothed particle hydrodynamics method [J]. Computer Methods in Applied Mechanics and Engineering, 2000, 184(1): 67–85.MathSciNetCrossRefzbMATHGoogle Scholar
  43. [43]
    Randles P. W., Libersky L. D. Normalized SPH with stress points [J]. International Journal for Numerical Methods in Engineering, 2000, 48(10): 1445–1462.CrossRefzbMATHGoogle Scholar
  44. [44]
    Timoshenko S., Woinowsky-Krieger S. Theory of plates and shells [M]. Second Edition, New York, USA: McGraw-Hill, 1959.zbMATHGoogle Scholar
  45. [45]
    Long T., Hu D., Wan D. et al. An arbitrary boundary with ghost particles incorporated incoupled FEM-SPH model for FSI problems [J]. Journal of Computational Physics, 2017, 350: 166–183.MathSciNetCrossRefzbMATHGoogle Scholar
  46. [46]
    Liang D., He X., Zhang J. X. An ISPH model for flow-like landslides and interaction with structures [J]. Journal of Hydrodynamics, 2017, 29(5): 894–897.CrossRefGoogle Scholar
  47. [47]
    Cercos-Pita J. L., Antuono M., Colagrossi A. et al. SPH energy conservation for fluid-solid interactions [J]. Computer Methods in Applied Mechanics and Engineering, 2017, 317: 771–791.MathSciNetCrossRefGoogle Scholar
  48. [48]
    Gotoh H., Shibahara T., Sakai T. Sub-particle-scale turbulence model for the MPS method-Lagrangian flow model for hydraulic engineering [J]. Computational Fluid Dynamics Journal, 2001, 9(4): 339–347.Google Scholar
  49. [49]
    Khayyer A., Gotoh H. Enhancement of performance and stability of MPS meshfree particle method for multiphase flows characterized by high density ratios [J]. Journal of Computational Physics, 2013, 242: 211–233.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© China Ship Scientific Research Center 2018

Authors and Affiliations

  • Abbas Khayyer
    • 1
  • Hitoshi Gotoh
    • 1
  • Hosein Falahaty
    • 1
  • Yuma Shimizu
    • 1
  1. 1.Department of Civil and Earth Resources EngineeringKyoto University, Katsura CampusNishikyo-ku, KyotoJapan

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