Ocean Systems Engineering

  • 제11권2호
  • /
  • Pages.185-201
  • /
  • 2021
  • /
  • 2093-6702(pISSN)
  • /
  • 2093-677X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A comparison of smoothed particle hydrodynamics simulation with exact results from a nonlinear water wave model

  • Nguyen, Hoa X. (School of Engineering, Trinity College Dublin) ;
  • Dinh, Van Nguyen (MaREI Centre for Energy, Climate and Marine, University College Cork) ;
  • Basu, Biswajit (School of Engineering, Trinity College Dublin)
  • 투고 : 2019.08.28
  • 심사 : 2021.04.05
  • 발행 : 2021.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

The aim of this paper is to verify the velocity profile and the pressure variation inside the fluid domain over one wavelength obtained from a numerically simulated Smoothed Particle Hydrodynamics model with some exact qualitative results (i.e., increasing/decreasing trend or constant value of a flow field) from a fully nonlinear Euler equation for water wave model. A numerical wave flume has been modeled and a regular wave train is created by the horizontal displacement of a wave paddle on one side of the flume. A passive beach is used to dissipate the energy of the wave on the other side. The extracted numerical results are compared with some recently available exact results from a nonlinear steady water wave model based on the Euler equations for irrotational flow. The flow properties under wave crests, wave troughs, and along the distance from the wave crest to the wave trough over one wavelength are investigated. The horizontal and vertical velocity components and the pressure in the fluid domain agree well with the analytical results.

키워드

참고문헌

  1. Altomare, C., Crespo, A.J., Dominguez, J.M., Gomez-Gesteira, M., Suzuki, T. and Verwaest, T. (2015), "Applicability of Smoothed Particle Hydrodynamics for estimation of sea wave impact on coastal structures", Coast. Eng., 96, 1-12. https://doi.org/10.1016/j.coastaleng.2014.11.001
  2. Altomare, C., Crespo, A.J., Rogers, B., Dominguez, J.M., Gironella X. and Gomez-Gesteira, M. (2014), "Numerical modelling of armour block sea break-water with smoothed particle hydrodynamics", Comput. Struct., 130, 34-45. https://doi.org/10.1016/j.compstruc.2013.10.011
  3. Altomare, C., Dominguez, J.M., Crespo, A.J., Gonzalez-Cao, J., Suzuki, T., Gomez-Gesteira, M. and Troch, P. (2017), "Long-crested wave generation and absorption for SPH-based Dualsphysics model", Coast. Eng., 127, 37-54. https://doi.org/10.1016/j.coastaleng.2017.06.004
  4. Aly, A.M., Asai, M. and Sonoda, Y. (2011), "Simulation of free falling rigid body into water by a stabilized incompressible SPH method", Ocean Syst. Eng., 1(3), 207-222. https://doi.org/10.12989/ose.2011.1.3.207
  5. Antuono, M., Colagrossi, A., Marrone, S. and Lugni, C. (2011), "Propagation of gravity waves through an SPH scheme with numerical diffusive terms", Comput. Phys. Commun., 182(4), 866-877. https://doi.org/10.1016/j.cpc.2010.12.012
  6. Basu, B. (2016), "Irrotational two-dimensional free-surface steady water flows over a flat bed with underlying currents", Nonlinear Analysis: Theory, Methods & Applications, 147, 110-124. https://doi.org/10.1016/j.na.2016.08.016
  7. Basu, B. (2017), "Estimation of wave heights from pressure data at the bed in the presence of uniform underlying currents", Nonlinear Anal., 156, 82-89. https://doi.org/10.1016/j.na.2017.01.016
  8. Batchelor, G.K. (2000), An introduction to fluid dynamics, Cambridge University Press.
  9. Chang, J., Liu, S.X. and Li, J.X. (2017), "A study of the stability properties in simulation of wave propagation with SPH method", China Ocean Eng., 31(2), 173-182. https://doi.org/10.1007/s13344-017-0021-6
  10. Constantin, A. (2006), "The trajectories of particles in stokes waves", Inventiones mathematicae, 166(3), 523-535. https://doi.org/10.1007/s00222-006-0002-5
  11. Constantin, A. (2011), "Nonlinear water waves with applications to wave-current interactions and tsunamis", CBMS-NSF Conference Series in Applied Mathematics, 81, SIAM, Philadelphia.
  12. Constantin, A. (2013), "Mean velocities in a stokes wave", Archive for Rational Mechanics and Analysis, 1-11.
  13. Constantin, A. (2016), "Extrema of the dynamic pressure in an irrotational regular wave train", Phys. Fluids, 28(11), 113604. https://doi.org/10.1063/1.4967362
  14. Constantin, A. and Strauss, W. (2004), "Exact steady periodic water waves with vorticity", Commun. Pure Appl. Math., 57(4), 481-527. https://doi.org/10.1002/cpa.3046
  15. Constantin, A. and Strauss, W. (2010), "Pressure beneath a stokes wave", Commun. Pure Appl. Math., 63(4), 533-557. https://doi.org/10.1002/cpa.20299
  16. Crespo, A.J., Dominguez, J.M., Barreiro, A., Gomez-Gesteira, M. and Rogers, B.D. (2011), "GPUs, a new tool of acceleration in CFD: efficiency and reliability on smoothed particle hydrodynamics methods", PloS one, 6, e20685. https://doi.org/10.1371/journal.pone.0020685
  17. Crespo, A.J., Dominguez, J.M., Rogers, B.D., Longshaw, S., Canelas, R., Vacondio, R., Barreiro, A. and Garcia-Feal, O. (2015), "Dualsphysics: Open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH)", Comput. Phys. Commun., 187, 204-216. https://doi.org/10.1016/j.cpc.2014.10.004
  18. Dean, R.G. and Dalrymple, R.A. (1991), Water wave mechanics for engineers and scientists, World Scientific Publishing Company.
  19. Didier, E., Neves, D.R.C.B., Martins, R. and Neves, M.G. (2014), "Wave interaction with a vertical wall: SPH numerical and experimental modeling", Ocean Eng., 88, 330-341. https://doi.org/10.1016/j.oceaneng.2014.06.029
  20. Gotoh, H. and Khayyer, A. (2018), "On the state-of-the-art of particle methods for coastal and ocean engineering", Coast. Eng., 60 (1), 79-103. https://doi.org/10.1080/21664250.2018.1436243
  21. Khayyer, A., Gotoh, H. and Shao, S.D. (2008), "Corrected incompressible SPH method for accurate water-surface tracking in breaking waves", Coast. Eng., 55 (3), 236-250. https://doi.org/10.1016/j.coastaleng.2007.10.001
  22. Lamb, H. (1993), Hydrodynamics, Cambridge University Press.
  23. Lind, S., Xu, R., Stansby, P. and Rogers, B.D. (2012), "Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves", J. Comput. Phys., 231(4), 1499-1523. https://doi.org/10.1016/j.jcp.2011.10.027
  24. Liu, M. and Liu, G. (2010), "Smoothed particle hydrodynamics (SPH): an overview and recent developments", Archives of Computational Methods in Engineering, 17(1), 25-76. https://doi.org/10.1007/s11831-010-9040-7
  25. Madsen, O.S. (1971), "On the generation of long waves", J. Geophys. Res., 76(36), 8672-8683. https://doi.org/10.1029/JC076i036p08672
  26. Marrone, S. (2012), "Enhanced SPH modeling of free-surface flows with large deformations", Ph.D. dissertation, University of Rome La Sapienza, Rome, Italy.
  27. Milne-Thomson, L.M. (1996), Theoretical hydrodynamics, Courier Corporation.
  28. Monaghan, J.J. (1994), "Simulating free surface flows with SPH", J. Comput. Phys., 110(3), 399-406. https://doi.org/10.1006/jcph.1994.1034
  29. Okamoto, H. and Shoji, M. (2012), "Trajectories of fluid particles in a periodic water wave", Philos. T. Roy. Soc. A: Math. Phys. Eng. Sci., 370(1964), 1661-1676.
  30. Omidvar, P., Norouzi, H. and Zarghami, A. (2015), "Smoothed Particle Hydrodynamics for water wave propagation in a channel", Int. J. Modern Phys. C, 26(8), 1550085. https://doi.org/10.1142/S0129183115500850
  31. Omidvar, P., Stansby P.K. and Rogers, B.D. (2012), "Wave body interaction in 2D using smoothed particle hydrodynamics (SPH) with variable particle mass", Int. J. Numer. Meth. Fl., 68 (6), 686-705. https://doi.org/10.1002/fld.2528
  32. Sun, P.N., Colagrossi, A., Marrone, S., Antuono, M. and Zhang, A.M. (2019), "A consistent approach to particle shifting in the δ-Plus-SPH model", Comput. Method. Appl. M., 348, 912-934. https://doi.org/10.1016/j.cma.2019.01.045
  33. Verbrugghe, T., Dominguez, J.M., Crespo A.J., Altomare, C., Stratigaki, V., Troch, P. and Kortenhaus, A. (2018), "Coupling methodology for smoothed particle hydrodynamics modelling of non-linear wave-structure interactions", Coast. Eng., 138, 184-198. https://doi.org/10.1016/j.coastaleng.2018.04.021
  34. Zhang, A.M., Sun, P.N., Ming, F.R. and Colagrossi, A. (2017), "Smoothed particle hydrodynamics and its applications in fluid-structure interactions", J. Hydrodynamics, 29 (2), 187-216. https://doi.org/10.1016/s1001-6058(16)60730-8