Experimental investigation and SPH simulation on interaction between regular waves and vertical breakwater under medium-long period waves

다국어 초록 (Multilingual Abstract)

Medium-long period waves significantly affect the construction of coastal engineering structures. This study investigated the interaction between regular waves and a vertical breakwater through laboratory experiments and smoothed particle hydrodynamics (SPH) simulations. Four SPH models, established using different diffusion terms and turbulence models, were compared. The numerical results were consistent with the test results. The experimental results and the improved Goda's results were consistent. The medium-long period wave force was 1.5e2 times greater than the short-period wave force. Consequently, a new formula was proposed to describe the relationship between the wave force and wave period. Furthermore, the energy evolution of wave propagation with and without a vertical breakwater was studied. It was found that the longer the period, the slower the attenuation of the wave kinetic and potential energies. The dynamic potential energy per unit length in front of the breakwater increased with an increase in the period.

참고문헌 (Reference)

1 Marrone, S., "d-SPH model for simulating violent impact flows" 200 (200): 1526-1542, 2011

2 Jian, W., "Wave runup on a surging vertical cylinder in regular waves" 63 : 229-241, 2017

3 Nørgaard, J. Q. H., "Wave loads on rubble mound breakwater crown walls in deep and shallow water waves conditions" 80 : 137-147, 2013

4 Manenti, S., "Vajont disaster: smoothed particle hydrodynamics modeling of the postevent 2D experiments" 142 (142): 05015007-, 2015

5 Liu, G. R., "The Finite Element Method: A Particle Course" Butterworth Heinemann 2003

6 Gotoh, H., "Sub-particle-scale turbulence model for the MPS method - Lagrangian flow model for hydraulic engineering" 9 (9): 339-347, 2001

7 Monahan, J. J., "Solitary waves on a cretan beach" 125 (125): 145-155, 1999

8 Aristodemo, F., "Solitary wave-induced forces on horizontal circular cylinders : laboratory experiments and SPH simulations" 129 : 17-35, 2017

9 Gingold, R. A., "Smoothed particle hydrodynamics : theory and application to non-spherical stars" 181 : 375-389, 1977

10 Monaghan, J. J., "Smoothed particle hydrodynamics" 68 : 1703-1759, 2005

11 Monaghan, J. J., "Smoothed particle hydrodynamics" 30 : 543-574, 1992

12 Lo, E. Y. M., "Simulation of near-shore solitary wave mechanics by an incompressible SPH method" 24 : 275-286, 2002

13 Monaghan, J. J., "Simulating free surface flows with SPH" 110 (110): 39-406, 1994

14 Roselli, R. A. R., "SPH simulation of periodic wave breaking in the surf zone - a detailed fluid dynamic validation" 176 : 20-30, 2019

15 Domínguez, J. M., "SPH simulation of floating structures with moorings" 153 : 103560-, 2019

16 Herault, A., "SPH on GPU with CUDA" 48 : 74-79, 2010

17 Goda, Y., "Random Seas and Design of Maritime Structures" University of Tokyo Press 1985

18 Antuono, M., "Propagation of gravity waves through an SPH scheme with numerical diffusive terms" 182 : 866-877, 2011

19 Wendland, H., "Piecewiese polynomial, position definite and compactly supported radial functions of minimal degree" 4 (4): 389-396, 1995

20 Domínguez, J. M., "Optimization strategies for CPU and GPU implementations of a smoothed particle hydrodynamics method" 184 : 617-627, 2013

21 Madsen, O. S., "On the generation of long waves" 76 (76): 8672-8683, 1971

22 Gonzalez-Cao, J., "On the accuracy of DualSPHysics to assess violent collisions with coastal structures" 179 : 604-612, 2019

23 Dang, B., "Numerical study on wave forces and overtopping over various seawall structures using advanced SPH-based method" 226 : 111349-, 2021

24 Kanehira, T., "Numerical re-creation of multi-directional waves in a circular basin using a particle based method" 209 : 107446-, 2020

25 Dalrymple, R. A., "Numerical modelling of water waves with the SPH method" 53 : 141-147, 2006

26 Altomare, C., "Numerical modelling of armour block sea breakwater with smoothed particle hydrodynamics" 130 : 34-45, 2014

27 Liu, Z., "Numerical investigations and optimizations of typical submerged box-type floating breakwaters using SPH" 209 : 107475-, 2020

28 Antuono, M., "Numerical diffusive terms in weaklycompressible SPH schemes" 183 : 2570-2580, 2012

29 Wen, H., "Numerical analysis of wave-induced current within the inhomogeneous coral reef using a refined SPH model" 156 : 103616-, 2020

30 Goda, Y., "New wave pressure formulae for composite breakwater" ASCE 1702-1720, 1974

31 Allsop, N. W. H., "New design formulae for wave loadings on vertical breakwaters and seawalls" 2508-2521, 1996

32 Altomare, C., "Long-crested wave generation and absorption for SPH-based DualSPHysics model" 127 : 37-54, 2017

33 Fourtakas, G., "Local uniform stencil(LUST)boundary condition for arbitrary 3-D boundaries in parallel smoothed particle hydrodynamics(SPH)models" 190 : 346-361, 2019

34 Ji, Z., "Large scale water entry simulation with smoothed particle hydrodynamics on single- and multi-GPU systems" 209 : 1-12, 2016

35 Mayrhofer, A., "Investigation of wall bounded flows using SPH and unified semi-analytical wall boundary conditions" 184 (184): 2515-2527, 2013

36 Han, X., "Interaction of solitary wave with submerged breakwater by smoothed particle hydrodynamics" 216 : 108108-, 2020

37 Han, X., "Interaction of Irregular Waves with Vertical Breakwater and Characteristics of Secondary Wave Generated by Overtopping" 2021

38 Chow, A. D., "Incompressible SPH(ISPH)with fast Poisson solver on a GPU" 226 : 81-103, 2018

39 Antuono, M., "Free-surface flows solved by means of SPH schemes with numerical diffusive term" 181 : 532-549, 2010

40 Takahashi, S., "Dynamic responses and sliding of breakwater caisson against impulsive breaking wave forces" 362-401, 1994

41 Crespo, A. J. C., "DualSphysics : opensource parallel CFD solver based on smoothed particle hydrodynamics(SPH)" 187 : 204-216, 2015

42 Zhang, F., "DualSPHysics: a numerical tool to simulate real breakwaters" 30 (30): 99-105, 2018

43 Cercos-Pita, J. L., "Diffusive terms for the conservation of mass equation in SPH" 40 : 8722-8736, 2016

44 English, A., "Correction for dynamic boundary conditions" 2019

45 Cuomo, G., "Breaking wave loads at vertical seawalls and breakwaters" 57 : 424-439, 2010

46 Crespo, A. J. C., "Boundary conditions generated by dynamic particles in SPH methods" 5 (5): 173-184, 2007

47 Ren, B., "Application of smoothed particle hydrodynamics for modeling the wave-moored floating breakwater interaction" 67 : 277-290, 2017

48 Altomare, C., "Applicability of smoothed particle hydrodynamics for estimation of sea wave impact on coastal structures" 96 : 1-12, 2015

49 Martin, J. C., "An experimental study of the collapse of liquid columns on a rigid horizontal plane" 244 (244): 312-324, 1952

50 Sun, Z., "A two-phase simulation of wave impact on a horizontal deck based on SPH method" 116 : 428-435, 2015

51 Ma, Z., "A study of the impact of plunging waves on the inverted L-shaped breakwater structure based on SPH method" 2021

52 Molteni, D., "A simple procedure to improve the pressure evaluation in hydrisynamics context using the SPH" 180 (180): 861-872, 2009

53 Lucy, L. B., "A numerical approach to the testing of the fission hypothesis" 82 (82): 1013-1024, 1977

54 Ferrari, A., "A new 3D parallel SPH scheme for free surface flows" 38 : 1203-1217, 2009

55 Jose, J., "A comparison of numerical simulations of breaking wave forces on a monopile structure using two different numerical models based on finite difference and finite volume methods" 137 : 78-88, 2017

56 Wen, H., "A SPH numerical wave basin for modeling wave-structure interactions" 59 : 366-377, 2016