Rigid-Body Analysis of a Beveled Shape Structure in Regular Waves Using the Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) Method

Abstract

In many cases of wave structure interactions, three-dimensional models are used to demonstrate real-life complex environments in large domain scales. In the seakeeping context, predicting the motion responses in the interaction of a long body resembling a ship structure with regular waves is crucial and can be challenging. In this work, regular waves interacting with a rigid floating structure were simulated using the open-source code based on the weakly compressible smoothed particle hydrodynamics (WCSPH) method, and optimal parameters were suggested for different wave environments. Vertical displacements were computed, and their response amplitude operators (RAOs) were found to be in good agreement with experimental, numerical, and analytical results. Discrepancies of numerical and experimental RAOs tended to increase at low wave frequencies, particularly at amidships and near the bow. In addition, the instantaneous wave contours of the surrounding model were examined to reveal the effects of localized waves along the structure and wave dissipation. The results indicated that the motion response from the WCSPH responds well at the highest frequency range (ω > 5.235 rad/s).

Keywords

DualSPHysics / Response amplitude operators / Seakeeping / Wave structure interaction / Weakly compressible

References

[1] Altomare C, Tafuni A, Domínguez JM, Crespo AJ, Gironella X, Sospedra J. SPH simulations of real sea waves impacting a large-scale structure. Journal of Marine Science and Engineering, 2020, 8(10): 826

[2] Bishop RED, Price WG. Hydroelasticity of ships, 1979, Cambridge, UK: Cambridge University Press, 431

[3] Cartwright B, Groenenboom PHL, McGuckin D. Examples of ship motion and wash predictions by smoothed particle hydrodynamics (SPH). 9th Symposium on Practical Design of Ships and Other Floating Structures, 2004, Germany: Luebeck-Travemuende

[4] Cercos-Pita JL, Bulian G, Souto-Iglesias A (2015). Time domain assessment of nonlinear coupled ship motions and sloshing in free surface tanks. Proceedings of the ASME 2015 34 ^th International Conference on Ocean, Offshore and Arctic Engineering, Newfoundland, Canada, 1–11

[5] Cerello Chapchap A (2015). Unstructured MEL modelling of non-linear 3D Ship hydrodynamics. PhD thesis, University of Southampton, Southampton, 11–170

[6] Cheng H, Ming FR, Sun PN, Sui YT, Zhang AM. Ship hull slamming analysis with smoothed particle hydrodynamics method. Appl Ocean Res, 2020, 101

[7] Crespo AJ, Domínguez JM, Rogers BD, Gómez-Gesteira M, Longshaw S, Canelas RJFB, Vacondio R, Barreiro A, García-Feal O. DualSPHysics: open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH). Comput Phys Commun, 2015, 187: 204-216

[8] Domínguez JM, Fourtakas G, Altomare C, Canelas RB, Tafuni A, García-Feal O, Martínez-Estévez I, Mokos A, Vacondio R, Creapo AJC, Rogers BD, Stanby PK, Gómez-Gesteira M (2021). DualSPHysics: from fluid dynamics to multiphysics problems. Computational Particle Mechanics, 1-29. https://doi.org/10.1007/s40571-021-00404-2

[9] Faltinsen O, Zhao R, Umeda N. Numerical predictions of ship motions at high forward speed. Philosophical Transactions of the Royal Society of London a: Mathematical, Physical and Engineering Sciences, 1991, 334(1634): 241-252

[10] Fonseca N, Guedes Soares C. Comparison of numerical and experimental results of nonlinear wave-induced vertical ship motions and loads. J Mar Sci Technol, 2002, 6(4): 193-204

[11] Greco M, Colicchio G, Lugni C, Faltinsen OM. 3D domain decomposition for violent wave-ship interactions. Int J Numer Meth Eng, 2013, 95(8): 661-684

[12] Huang Y, Sclavounos PD. Nonlinear ship motions. J Ship Res, 1998, 42(2): 120-130

[13] Jensen JJ, Mansour AE, Olsen AS. Estimation of ship motions using closed-form expressions. Ocean Eng, 2004, 31(1): 61-85

[14] Kawamura K, Hashimoto H, Matsuda A, Terada D. SPH simulation of ship behaviour in severe water-shipping situations. Ocean Eng, 2016, 120: 220-229

[15] Korvin-Kroukovsky BV, Jacobs WR (1957). Pitching and heaving motions of a ship in regular waves. Armed Services Technical Report No. AD134053. Stevens Institute of Technology Experimental Towing Tank, Hoboken, USA.

[16] Lakshmynarayanana P, Temarel P, Chen Z (2015). Hydroelastic analysis of a flexible barge in regular waves using coupled CFD-FEM modelling. In: Guedes Soares C, Shenoi RA (Eds.). Analysis and design of marine structures: proceedings of the 5 ^th International Conference on Marine Structures (MARSTRUCT 2015), Southampton, 95–103

[17] Lee ES, Violeau D, Issa R, Ploix S. Application of weakly compressible and truly incompressible SPH to 3-D water collapse in waterworks. J Hydraul Res, 2010, 48(sup1): 50-60

[18] Leonardi M, Domínguez JM, Rung T. An approximately consistent SPH simulation approach with variable particle resolution for engineering applications. Eng Anal Boundary Elem, 2019, 106: 555-570

[19] Liu MB, Shao JR, Li HQ. An SPH model for free surface flows with moving rigid objects. Int J Numer Meth Fluids, 2014, 74(9): 684-697

[20] Lin WM, Collette M, Lavis D, Jessup S, Kuhn J. Recent hydrodynamic tool development and validation for motions and slam loads on ocean-going high-speed vessels. 10th International Symposium on Practical Design of Ships and Other Floating Structures (PRADS 2007). Houston, 2007, 2: 1107-1116

[21] Ma C, Oka M. Numerical coupling model based on SPH and panel method to solve the sloshing effect on ship motion in wave condition. The 29th International Ocean and Polar Engineering Conference. Honolulu, USA, 2019, 3: 3342-3348

[22] Monaghan JJ. Simulating free surface flows with SPH. J Comput Phys, 1994, 110(2): 399-406

[23] Monaghan JJ (2006). Time stepping algorithms for SPH. Proceedings of 1st SPHERIC Workshop, Rome, 1–6

[24] O’Connor J, Rogers BD. A fluid–structure interaction model for free-surface flows and flexible structures using smoothed particle hydrodynamics on a GPU. J Fluids Struct, 2021, 104

[25] Pringgana G, Cunningham LS, Rogers BD. Influence of orientation and arrangement of structures on Tsunami impact forces: numerical investigation with smoothed particle hydrodynamics. J Waterw Port Coast Ocean Eng, 2021, 147(3): 04021006

[26] Ramli MZ. The hydrodynamic coefficients for oscillating 2D rectangular box using weakly compressible smoothed particle hydrodynamics (WCSPH) method. IIUM Engineering Journal, 2018, 19(2): 172-181

[27] Ramli MZ, Temarel P, Tan M. Hydrodynamic coefficients for a 3-D uniform flexible barge using weakly compressible smoothed particle hydrodynamics. J Mar Sci Appl, 2018, 17(3): 330-340

[28] Remy F, Molin B, Ledoux A (2006). Experimental and numerical study of the wave response of a flexible barge. Proceedings of the 4 ^th International Conference on Hydroelasticity in Marine Technology, Wuxi, 255–264

[29] Serván-Camas B, Cercós-Pita JL, Colom-Cobb J, García-Espinosa J, Souto-Iglesias A. Time domain simulation of coupled sloshing–seakeeping problems by SPH–FEM coupling. Ocean Eng, 2016, 123: 383-396

[30] Sun X, Yao C, Ma C. Partially nonlinear time domain analysis on ship motions in waves with translating-pulsating source Green function. Ocean Eng, 2018, 170: 374-391

[31] Tafuni A (2016). Smoothed particle hydrodynamics: development and application to problems of hydrodynamics. PhD thesis, Polytechnic Institute of New York University, New York.

[32] Tezdogan T, Demirel YK, Kellett P, Khorasanchi M, Incecik A, Turan O. Full-scale unsteady RANS CFD simulations of ship behaviour and performance in head seas due to slow steaming. Ocean Eng, 2015, 97: 186-206

[33] Wendland H. Computational aspects of radial basis function approximation, 1995 Elsevier

[34] Xie X, Wan Y, Wang Q, Liu H, Feng D. Numerical simulation of ship-ship interactions in waves. International Conference on Offshore Mechanics and Arctic Engineering, 2019, 58776: V002T08A060