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Citation:
 Takahito Iida,Yudai Yokoyama.Investigation of Numerical Conditions of Moving Particle Semi?implicit for Two-Dimensional Wedge Slamming[J].Journal of Marine Science and Application,2021,(4):585-594.[doi:10.1007/s11804-021-00234-x]
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Investigation of Numerical Conditions of Moving Particle Semi?implicit for Two-Dimensional Wedge Slamming

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Title:
Investigation of Numerical Conditions of Moving Particle Semi?implicit for Two-Dimensional Wedge Slamming
Author(s):
Takahito Iida Yudai Yokoyama
Affilations:
Author(s):
Takahito Iida Yudai Yokoyama
Department of Naval Architecture & Ocean Engineering, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan
Keywords:
Wedge slamming|Moving particle semi-implicit|MPS-slamming condition|Numerical condition|Wagner’s theory|Computational fluid dynamics
分类号:
-
DOI:
10.1007/s11804-021-00234-x
Abstract:
The sensitivity of moving particle semi-implicit (MPS) simulations to numerical parameters is investigated in this study. Although the verification and validation (V&V) are important to ensure accurate numerical results, the MPS has poor performance in convergences with a time step size. Therefore, users of the MPS need to tune numerical parameters to fit results into benchmarks. However, such tuning parameters are not always valid for other simulations. We propose a practical numerical condition for the MPS simulation of a two-dimensional wedge slamming problem (i.e., an MPS-slamming condition). The MPS-slamming condition is represented by an MPS-slamming number, which provides the optimum time step size once the MPS-slamming number, slamming velocity, deadrise angle of the wedge, and particle size are decided. The simulation study shows that the MPS results can be characterized by the proposed MPS-slamming condition, and the use of the same MPS-slamming number provides a similar flow.

References:

Allen T (2013) Mechanics of flexible composite hull panels subjected to water impacts. PhD thesis, The University of Auckland, Auckland, New Zealand
Chen Y, Khabakhpasheva T, Maki KJ, Korobkin A (2019) Wedge impact with the influence of ice. Appl Ocean Res 89:12–22. https://doi.org/10.1016/j.apor.2019.05.001
Chuang SL (1967) Experiments on slamming of wedge-shaped bodies. J Ship Res 11(3):190–198. https://doi.org/10.5957/jsr.1967.11.3.190
Cointe R, Armand JL (1987) Hydrodynamic impact analysis of a cylinder. J Offshore Mech Arct Eng 109(3):237–243. https://doi.org/10.1115/1.3257015
Dobrovol’Skaya ZN (1969) On some problems of similarity flow of fluid with a free surface. J Fluid Mech 36(4):805–829. https://doi.org/10.1017/S0022112069001996
Duan G, Matsunaga T, Yamaji A, Koshizuka S, Sakai M (2021) Imposing accurate wall boundary conditions in corrective-matrix-based moving particle semi-implicit method for free surface flow. Int J Numer Meth Fluids 93(1):148–175. https://doi.org/10.1002/fld.4878
Faltinsen OM (1993) Sea loads on ships and offshore structures. Cambridge University Press, pp 282–315
Faltinsen OM (1999) Water entry of a wedge by hydroelastic orthotropic plate theory. J Ship Res 43(3):180–193. https://doi.org/10.5957/jsr.1999.43.3.180
Fourey G, Hermange C, Le Touzé D, Oger G (2017) An efficient FSI coupling strategy between smoothed particle hydrodynamics and finite element methods. Comput Phys Commun 217:66–81. https://doi.org/10.1016/j.cpc.2017.04.005
Hermange C, Oger G, Le Touzé D (2019) Energy considerations in the SPH method with deformable boundaries and application to FSI problems. Journal of Computational Physics: X 1:100008. https://doi.org/10.1016/j.jcpx.2019.100008
Hwang SC, Park JC, Gotoh H, Khayyer A, Kang KJ (2016) Numerical simulations of sloshing flows with elastic baffles by using a particle-based fluid–structure interaction analysis method. Ocean Eng 118:227–241. https://doi.org/10.1016/j.oceaneng.2016.04.006
Ikari H, Khayyer A, Gotoh H (2015) Corrected higher order Laplacian for enhancement of pressure calculation by projection-based particle methods with applications in ocean engineering. J Ocean Eng Mar Energy 1(4):361–376. https://doi.org/10.1007/s40722-015-0026-2
Iribe T, Nakaza E (2011) An improvement of accuracy of the MPS method with a new gradient calculation model. Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering) 67(1):36–48. ((in Japanese)) https://doi.org/10.2208/kaigan.67.36
Jain U, Novakovic V, Bogaert H, van der Meer D (2020) On wedge-slamming pressures. arXiv preprint arXiv:2011.10378
Jalalisendi M, Zhao S, Porfiri M (2017) Shallow water entry: modeling and experiments. J Eng Math 104(1):131–156. https://doi.org/10.1007/s10665-016-9877-3
Judge C, Mousaviraad M, Stern F, Lee E, Fullerton A, Geiser J, Schleicher C, Merrill G, Weil C, Morin J, Jiang M, Ikeda C (2020) Experiments and CFD of a high-speed deep-V planing hull–part II: Slamming in waves. Appl Ocean Res 97:102059. https://doi.org/10.1016/j.apor.2020.102059
Kamath A, Bihs H, Arntsen ?A (2017) Study of water impact and entry of a free falling wedge using computational fluid dynamics simulations. J Offshore Mech Arct Eng 139(3):031802. https://doi.org/10.1115/1.4035384
Khabakhpasheva TI, Korobkin AA (2013) Elastic wedge impact onto a liquid surface: Wagner’s solution and approximate models. J Fluids Struct 36:32–49. https://doi.org/10.1016/j.jfluidstructs.2012.08.004
Khayyer A, Gotoh H (2009) Modified moving particle semi-implicit methods for the prediction of 2D wave impact pressure. Coast Eng 56(4):419–440. https://doi.org/10.1016/j.coastaleng.2008.10.004
Khayyer A, Gotoh H (2010) A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method. Appl Ocean Res 32(1):124–131. https://doi.org/10.1016/j.apor.2010.01.001
Khayyer A, Gotoh H (2011) Enhancement of stability and accuracy of the moving particle semi-implicit method. J Comput Phys 230(8):3093–3118. https://doi.org/10.1016/j.jcp.2011.01.009
Khayyer A, Gotoh H (2016) A multiphase compressible-incompressible particle method for water slamming. Intern J Offshore Polar Eng 26(1):20–25. https://doi.org/10.17736/ijope.2016.mk42
Khayyer A, Gotoh H, Falahaty H, Shimizu Y (2018a) An enhanced ISPH-SPH coupled method for simulation of incompressible fluid-elastic structure interactions. Comput Phys Commun 232:139–164. https://doi.org/10.1016/j.cpc.2018.05.012
Khayyer A, Gotoh H, Falahaty H, Shimizu Y (2018b) Towards development of enhanced fully-Lagrangian mesh-free computational methods for fluid-structure interaction. J Hydrodyn 30(1):49–61. https://doi.org/10.1007/s42241-018-0005-x
Khayyer A, Tsuruta N, Shimizu Y, Gotoh H (2019) Multi-resolution MPS for incompressible fluid-elastic structure interactions in ocean engineering. Appl Ocean Res 82:397–414. https://doi.org/10.1016/j.apor.2018.10.020
Kihara H (2004) Numerical modeling of flow in water entry of a wedge. Proc. 19th International Workshop on Water Waves and Floating Bodies, Cortona, Italy, pp 28–31
Korobkin A (2004) Analytical models of water impact. Eur J Appl Math 15(6):821–838. https://doi.org/10.1017/S0956792504005765
Koshizuka S, Oka Y (1996) Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nuclear Sci Eng 123(3):421–434. https://doi.org/10.13182/NSE96-A24205
Maki KJ, Lee D, Troesch AW, Vlahopoulos N (2011) Hydroelastic impact of a wedge-shaped body. Ocean Eng 38(4):621–629. https://doi.org/10.1016/j.oceaneng.2010.12.011
Marrone S, Colagrossi A, Le Touzé D, Graziani G (2010) Fast free-surface detection and level-set function definition in SPH solvers. J Comput Phys 229(10):3652–3663. https://doi.org/10.1016/j.jcp.2010.01.019
Matsunaga T, Koshizuka S (2021) Improvement of the time marching method in a particle method. Transactions of the JSME, 20–00437. (in Japanese) https://doi.org/10.1299/transjsme.20-00437
Oberkampf WL, Trucano TG (2002) Verification and validation in computational fluid dynamics. Prog Aerosp Sci 38(3):209–272. https://doi.org/10.1016/S0376-0421(02)00005-2
Oger G, Doring M, Alessandrini B, Ferrant P (2006) Two-dimensional SPH simulations of wedge water entries. J Comput Phys 213(2):803–822. https://doi.org/10.1016/j.jcp.2005.09.004
Oger G, Guilcher PM, Jacquin E, Brosset L, Deuff JB, Le Touzé D (2009) Simulations of hydro-elastic impacts using a parallel SPH model The Nineteenth International Offshore and Polar Engineering Conference. Osaka, Japan, pp I-09–038
Panciroli R, Porfiri M (2013) Evaluation of the pressure field on a rigid body entering a quiescent fluid through particle image velocimetry. Exp Fluids 54(12):1630. https://doi.org/10.1007/s00348-013-1630-3
Piro DJ, Maki KJ (2013) Hydroelastic analysis of bodies that enter and exit water. J Fluids Struct 37:134–150. https://doi.org/10.1016/j.jfluidstructs.2012.09.006
Seddon CM, Moatamedi M (2006) Review of water entry with applications to aerospace structures. Int J Impact Eng 32(7):1045–1067. https://doi.org/10.1016/j.ijimpeng.2004.09.002
Sun H, Faltinsen OM (2007) The influence of gravity on the performance of planing vessels in calm water. J Eng Math 58(1–4):91–107. https://doi.org/10.1007/s10665-006-9107-5
Tajima M, Yabe T (1999) Simulation on slamming of a vessel by CIP method. J Phys Soc Jpn 68(8):2576–2584. https://doi.org/10.1143/JPSJ.68.2576
Tanaka M, Masunaga T (2010) Stabilization and smoothing of pressure in MPS method by quasi-compressibility. J Comput Phys 229(11):4279–4290. https://doi.org/10.1016/j.jcp.2010.02.011
Tsuruta N, Khayyer A, Gotoh H (2013) A short note on dynamic stabilization of moving particle semi-implicit method. Comput Fluids 82:158–164. https://doi.org/10.1016/j.compfluid.2013.05.001
Tsuruta N, Khayyer A, Gotoh H (2015) Space potential particles to enhance the stability of projection-based particle methods. International Journal of Computational Fluid Dynamics 29(1):100–119. https://doi.org/10.1080/10618562.2015.1006130
Tveitnes T, Fairlie-Clarke AC, Varyani K (2008) An experimental investigation into the constant velocity water entry of wedge-shaped sections. Ocean Eng 35(14–15):1463–1478. https://doi.org/10.1016/j.oceaneng.2008.06.012
Vincent L, Xiao T, Yohann D, Jung S, Kanso E (2018) Dynamics of water entry. J Fluid Mech 846:508–535. https://doi.org/10.1017/jfm.2018.273
Wagner H (1932) über Sto?- und Gleitvorg?nge an der Oberfl?che von Flüssigkeiten. Z Angew Math Mech 12(4):193–215. ((in German)) https://doi.org/10.1002/zamm.19320120402
Wang J, Faltinsen OM (2017) Improved numerical solution of Dobrovol’skaya’s boundary integral equations on similarity flow for uniform symmetrical entry of wedges. Appl Ocean Res 66:23–31. https://doi.org/10.1016/j.apor.2017.05.006
Wang J, Zhang X (2019) Improved Moving Particle Semi-implicit method for multiphase flow with discontinuity. Comput Methods Appl Mech Eng 346:312–331. https://doi.org/10.1016/j.cma.2018.12.009
Wang S, Guedes Soares C (2017) Review of ship slamming loads and responses. J Mar Sci Appl 16(4):427–445. https://doi.org/10.1007/s11804-017-1437-3
Waskito KT, Kashiwagi M, Iwashita H, Hinatsu M (2020) Prediction of nonlinear vertical bending moment using measured pressure distribution on ship hull. Appl Ocean Res 101:102261. https://doi.org/10.1016/j.apor.2020.102261
Watanabe I (1986) Analytical expression of hydrodynamic impact pressure by matched asymptotic expansion technique. Transactions of the West-Japan Society of Naval Architects 71:77–85. https://doi.org/10.14856/wjsna.71.0_77
Wendland H (1995) Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv Comput Math 4(1):389–396. https://doi.org/10.1007/BF02123482
Yettou EM, Desrochers A, Champoux Y (2006) Experimental study on the water impact of a symmetrical wedge. Fluid Dyn Res 38(1):47. https://doi.org/10.1016/j.fluiddyn.2005.09.003
Yokoyama Y, Iida T (2021) Simulations of wedge slamming in vicinity of floating ice using particle-based solver. The 31st International Ocean and Polar Engineering Conference, pp I-21–1265
Zhao R, Faltinsen O (1993) Water entry of two-dimensional bodies. J Fluid Mech 246:593–612. https://doi.org/10.1017/S002211209300028X

Memo

Memo:
Received date:2021-06-15;Accepted date:2021-09-25。
Foundation item:Supported by JSPS KAKENHI Grant No. JP19K15218.
Corresponding author:Takahito Iida,E-mail:iida@naoe.eng.osaka-u.ac.jp
Last Update: 2022-03-21