ZHANG A M, MING F R, LIU Y L, et al. Review of research on underwater explosion related to load characteristics and ship damage and protection[J]. Chinese Journal of Ship Research, 2023, 18(3): 139−154 (in Chinese).

富勒著. 第二次世界大战: 战术与战略的历史[M]. 姚军译, 北京文化发展出版社, 2018.

MORAN J P. On the hydrodynamic theory of water-exit and -entry[R]. Ithaca NY: Therm Advanced Research Inc, 1965

WAUGH J G, STUBSTAD G W. Hydroballistics modeling[R]. U. S. Government Printing Office, 1975.

TRUSCOTT T T, EPPS B P, BELDEN J. Water entry of projectiles[J]. Annual Review of Fluid Mechanics, 2014, 46: 355−378. doi: 10.1146/annurev-fluid-011212-140753

LIU W T, ZHANG A M, MIAO X H, et al. Investigation of hydrodynamics of water impact and tail slamming of high-speed water entry with a novel immersed boundary method[J]. Journal of Fluid Mechanics, 2023, 958: A42. doi: 10.1017/jfm.2023.120

LIU X Y, YUAN X L, LUO K, et al. Experimental investigation of the influence of preset rudder angle on tail-slapping of a trans-media vehicle during water entry[J]. Acta Armamentarii, 2023, 44(6): 1632−1642 (in Chinese).

LOGVINOVICH G V. Hydrodynamics of flows with free boundaries[M]. Kiev: Naukova Dumka, 1969.

HONG Y, GONG Z X, LIU H. The effect of atmospheric density on splash of spheres during water entry[J]. Ocean Engineering, 2023, 272: 113871. doi: 10.1016/j.oceaneng.2023.113871

HONG Y, ZHAO Z X, GONG Z X, et al. Cavity dynamics in the oblique water entry of a cylinder at constant velocity[J]. Physics of Fluids, 2022, 34(2): 021703. doi: 10.1063/5.0082430

ZHANG A M, LI S M, CUI P, et al. A unified theory for bubble dynamics[J]. Physics of Fluids, 2023, 35(3): 033323. doi: 10.1063/5.0145415

LI S M, ZHANG A M, CUI P, et al. Vertically neutral collapse of a pulsating bubble at the corner of a free surface and a rigid wall[J]. Journal of Fluid Mechanics, 2023, 962: A28. doi: 10.1017/jfm.2023.292

ZHANG A M, LI S M, CUI P, et al. Theoretical study on bubble dynamics under hybrid-boundary and multi-bubble conditions using the unified equation[J]. Science China Physics, Mechanics Astronomy, 2023, 66(12): 124711. doi: 10.1007/s11433-023-2204-x

TRUSCOTT T T, TECHET A H. A spin on cavity formation during water entry of hydrophobic and hydrophilic spheres[J]. Physics of Fluids, 2009, 21(12): 121709. doi: 10.1063/1.3272264

TRUSCOTT T, TECHET A. Water entry of spinning spheres[J]. Journal of Fluid Mechanics, 2009, 625: 135−165. doi: 10.1017/S0022112008005533

XIA W X, WANG C, WEI Y J, et al. Numerical simulation investigation on water-entry cavity of high-speed spinning sphere[J]. Journal of Harbin Institute of Technology, 2018, 50(4): 138−144 (in Chinese).

ARISTOFF J M, TRUSCOTT T T, TECHET A H, et al. The water entry of decelerating spheres[J]. Physics of Fluids, 2010, 22(3): EJ. 002. DOI: 10.1063/1.3309454

ZHANG Q, ZONG Z, SUN T Z, et al. Characteristics of cavity collapse behind a high-speed projectile entering the water[J]. Physics of Fluids, 2021, 33(6): 062110. doi: 10.1063/5.0053409

TRUSCOTT T T. Cavity dynamics of water entry for spheres and ballistic projectiles[D]. USA Massachusetts: Massachusetts Institute of Technology, 2009.

GUO Z T, CHEN T, MU Z C, et al. An investigation into container constraint effects on the cavity characteristics due to high-speed projectile water entry[J]. Ocean Engineering, 2020, 210: 107449. doi: 10.1016/j.oceaneng.2020.107449

ZHAO C G. Study on multiphase flow field and ballistic characteristics of unsteady motion of high-speed projectile[D]. Harbin: Harbin Institute of Technology, 2017 (in Chinese).

ZHANG Z H, MENG Q C, GU J N, et al. A calculation method for supercavity profile about a slender cone-shaped projectile traveling in water at subsonic speed[J]. Explosion and Shock Waves, 2010, 30(3): 254−261 (in Chinese).

LI Z P, SUN L Q, YAO X L, et al. Experimental study on cavity dynamics in high Froude number water entry for different nosed projectiles[J]. Applied Ocean Research, 2020, 102: 102305. doi: 10.1016/j.apor.2020.102305

AKBARZADEH P, NOROUZI M, GHASEMI R, et al. Experimental study on the entry of solid spheres into Newtonian and non-Newtonian fluids[J]. Physics of Fluids, 2022, 34(3): 033111. doi: 10.1063/5.0081002

SHI S G, YANG X G, WANG Y D, et al. Experimental study on pressure characteristics of slender body during high-speed water entry[J]. Chinese Journal of Applied Mechanics, 2018, 35(2): 223−227 (in Chinese). doi: 10.11776/cjam.35.02.A009

WU S Y. Study on flow characteristics of ventilated supercavitating vehicle entering water at high speed[D]. Harbin: Harbin Institute of Technology, 2022 (in Chinese).

ABELSON H I. Pressure measurements in the water-entry cavity[J]. Journal of Fluid Mechanics, 1970, 44: 129−144. doi: 10.1017/S0022112070001738

LU L, GAO C S, QI X B, et al. Numerical study on the water-entry characteristics of asynchronous parallel projectiles at an oblique impact angle[J]. Ocean Engineering, 2023, 271: 113697. doi: 10.1016/j.oceaneng.2023.113697

ZHANG C W, JIA H X, ZHOU D H, et al. Numerical analysis of flow and ballistic characteristics of high-speed supercavitating projectile in cross-flow environment[J]. Journal of Ballistics, 2023, 35(2): 67−75 (in Chinese). doi: 10.12115/j.issn.1004-499X(2023)02-009

ZHAO H R, SHI Y, PAN G. Numerical simulation of cavitation characteristics in high speed water entry of head-jetting underwater vehicle[J]. Journal of Northwestern Polytechnical University, 2021, 39(4): 810−817 (in Chinese). doi: 10.1051/jnwpu/20213940810

WEI H P, XIN W Q, LIU H P, et al. Research on the influence of different nozzle structures on the impact of high-speed water-entry vehicles[J]. Astronautical Systems Engineering Technology, 2021, 5(6): 41−46,53 (in Chinese).

KÁRMÁN T. The impact on seaplane floats during landing[R]. NACA TN321, 1929

WAGNER H. Phenomena associated with impacts and sliding on liquid surfaces[J]. Z. Angew. Math. Mech, 1932, 12(4): 193−215. doi: 10.1002/zamm.19320120402

MEI X M, LIU Y M, YUE D K P. On the water impact of general two-dimensional sections[J]. Applied Ocean Research, 1999, 21(1): 1−15. doi: 10.1016/S0141-1187(98)00034-0

KOROBKIN A A, SCOLAN Y M. Three-dimensional theory of water impact. Part 2. Linearized Wagner problem[J]. Journal of Fluid Mechanics, 2006, 549: 343−373. doi: 10.1017/S0022112005008049

ZHAO R, FALTINSEN O M. Water entry of two-dimensional bodies[J]. Journal of Fluid Mechanics, 1993, 246: 593−612. doi: 10.1017/S002211209300028X

SEMENOV Y A, IAFRATI A. On the nonlinear water entry problem of asymmetric wedges[J]. Journal of Fluid Mechanics, 2006, 547: 231−256. doi: 10.1017/S0022112005007329

HULIN F, DEL BUONO A, TASSIN A, et al. Gravity effects in two-dimensional and axisymmetric water impact models[J]. Journal of Fluid Mechanics, 2022, 944: A9. doi: 10.1017/jfm.2022.448

KOROBKIN A A, PUKHNACHOV V V. Initial stage of water impact[J]. Annual Review of Fluid Mechanics, 1988, 20: 159−185. doi: 10.1146/annurev.fl.20.010188.001111

LI G L, YOU T Q, KONG D C, et al. Effect of fluid compressibility on high-speed water-entry of revolutionary body[J]. Acta Armamentarii, 2020, 41(4): 720−729 (in Chinese).

TIAN Y F. Study on dynamic characteristics of high-speed projectile entering water[D]. Taiyuan: North University of China, 2021 (in Chinese).

CHEN C, SUN T Z, WEI Y J, et al. Computational analysis of compressibility effects on cavity dynamics in high-speed water-entry[J]. International Journal of Naval Architecture and Ocean Engineering, 2019, 11(1): 495−509. doi: 10.1016/j.ijnaoe.2018.09.004

CHEN T, GUO Z T, ZHAO G, et al. A discrete method and experimental study for the propagation of shock wave induced by high-speed projectile entering water-filled tanks[J]. Ocean Engineering, 2022, 248: 110835. doi: 10.1016/j.oceaneng.2022.110835

SUI Y T, ZHANG A M, MING F R, et al. Experimental investigation of oblique water entry of high-speed truncated cone projectiles: cavity dynamics and impact load[J]. Journal of Fluids and Structures, 2021, 104: 103305. doi: 10.1016/j.jfluidstructs.2021.103305

SHI Y, PAN G, YAN G X, et al. Numerical study on the cavity characteristics and impact loads of AUV water entry[J]. Applied Ocean Research, 2019, 89: 44−58. doi: 10.1016/j.apor.2019.05.012

WANG K, MA X, BAI W, et al. Two-dimensional numerical simulation of water entry of a cylinder into waves using OpenFOAM[J]. Ocean Engineering, 2023, 269: 113516. doi: 10.1016/j.oceaneng.2022.113516

ZHANG Y F, MA S, SHAO W B, et al. Numerical investigation on the water entry of curved wedge-shaped sections into waves[J]. Ocean Engineering, 2023, 275: 114155. doi: 10.1016/j.oceaneng.2023.114155

YOU C, SUN T Z, ZHANG G Y, et al. Numerical study on effect of brash ice on water exit dynamics of ventilated cavitation cylinder[J]. Ocean Engineering, 2022, 245: 110443. doi: 10.1016/j.oceaneng.2021.110443

CHEN Z W, JIAO J L, WANG S, et al. CFD-FEM simulation of water entry of a wedged grillage structure into Stokes waves[J]. Ocean Engineering, 2023, 275: 114159. doi: 10.1016/j.oceaneng.2023.114159

HU X Y, WEI Y J, WANG C. Study on high-speed water entry of the projectile passing through an ice hole in a low-temperature environment based on a modified thermodynamic cavitation model[J]. Physics of Fluids, 2023, 35(1): 017128. doi: 10.1063/5.0138052

ZHOU H L. Design of launching system for underwater high-speed vehicle and study on characteristics of supercavitation flow field[D]. Hangzhou: Zhejiang Sci-Tech University, 2012 (in Chinese).

SUN S M, YAN K, CHU X S, et al. Numerical simulation of projectile’s high-speed oblique entry into water[J]. Acta Armamentarii, 2020, 41(S1): 122−127 (in Chinese). doi: CNKI:SUN:BIGO.0.2020-S1-018

LIU X Y, LUO K, YUAN X L, et al. Numerical study on the impact load characteristics of a trans-media vehicle during high-speed water entry and flat turning[J]. Ocean Engineering, 2023, 273: 113986. doi: 10.1016/j.oceaneng.2023.113986

WEI H P, SHI C B, SUN T Z, et al. Numerical study on load-shedding performance of a high-speed water-entry vehicle based on an ALE method[J]. Explosion and Shock Waves, 2021, 41(10): 112−123 (in Chinese). doi: 10.11883/bzycj-2020-0461

ANTOLIK J T, BELDEN J L, SPEIRS N B, et al. Slamming forces during water entry of a simple harmonic oscillator[J]. Journal of Fluid Mechanics, 2023, 974: A23. doi: 10.1017/jfm.2023.820

HONG Y, WANG B L, LIU H. Numerical simulation of compressible multiphase hydrodynamic problems using reduced five-equation model on body-fitted grids[J]. Computers Fluids, 2022, 233: 105243. doi: 10.1016/j.compfluid.2021.105243

ZHI M Y, LI Z P, SUN L Q, et al. Investigation and optimization of load characteristics of a multi-stage load-reduction structure for vehicles during high-speed vertical water entry[J]. Ocean Engineering, 2023, 289: 116183. doi: 10.1016/j.oceaneng.2023.116183

LI Y, ZONG Z, SUN T Z. Classification of the collapse of a composite fairing during the oblique high-speed water entry[J]. Thin-Walled Structures, 2023, 182: 110260. doi: 10.1016/j.tws.2022.110260

SUI Y T, MING F R, WANG S P, et al. Experimental investigation on the impact force of the oblique water entry of a slender projectile with spring buffer[J]. Applied Ocean Research, 2023, 138: 103631. doi: 10.1016/j.apor.2023.103631

LU B J, ZHU Z. Numerical research on load of a super-cavity vehicle with cone-shaped segment at high-speed water-entry[J]. Ship Science and Technology, 2017, 39(8): 119−123 (in Chinese).

CHUANG W L. Experimental investigation on fluid kinematics and impact pressure of flat plate impacts on pure and aerated water[J]. Ocean Engineering, 2022, 266: 112837. doi: 10.1016/j.oceaneng.2022.112837

ELHIMER M, EL MALKI ALAOUI A, GABILLET C, et al. Measurements of pressure during the forced water entry of a cone into pure and aerated water[J]. Journal of Fluids and Structures, 2022, 113: 103605. doi: 10.1016/j.jfluidstructs.2022.103605

KORKMAZ F C, GÜZEL B. Water entry of cylinders and spheres under hydrophobic effects; Case for advancing deadrise angles[J]. Ocean Engineering, 2017, 129: 240−252. doi: 10.1016/j.oceaneng.2016.11.021

LI Q, LU L, CAI T. Numerical investigations of trajectory characteristics of a high-speed water-entry projectile[J]. AIP Advances, 2020, 10(9): 095107. doi: 10.1063/5.0011308

周可, 黄振贵, 陈志华, 等. 跨介质航行器高速斜入水跳弹现象研究[C]// 第十六届全国水动力学学术会议暨第三十二届全国水动力学研讨会论文集(上册), 2021: 348-359.

PARK M S, JUNG Y R, PARK W G. Numerical study of impact force and ricochet behavior of high speed water-entry bodies[J]. Computers Fluids, 2003, 32(7): 939−951. doi: 10.1016/S0045-7930(02)00087-7

WANG Y, YUAN X L, LYU C. Experimental research on curved trajectory of high-speed water-entry missile[J]. Acta Armamentarii, 2014, 35(12): 1998−2002 (in Chinese). doi: 10.3969/j.issn.1000-1093.2014.12.010

WANG X H, SHI Y, PAN G, et al. Numerical research on the high-speed water entry trajectories of AUVs with asymmetric nose shapes[J]. Ocean Engineering, 2021, 234: 109274. doi: 10.1016/j.oceaneng.2021.109274

SUN S M, CHU X S, WANG Z, et al. Numerical study on trajectory of projectile with fins in initial stage of oblique water entry at sound speed in water[J]. Journal of Ship Mechanics, 2023, 27(11): 1581−1593 (in Chinese).

HUANG H X, ZHANG H S, WEI J, et al. Stability analysis of high-speed water entry of different structure projectiles[J]. Journal of Ordnance Equipment Engineering, 2019, 40(11): 50−54 (in Chinese). doi: 10.11809/bqzbgcxb2019.11.011

SUI Y T, LI S, MING F R, et al. An experimental study of the water entry trajectories of truncated cone projectiles: the influence of nose parameters[J]. Physics of Fluids, 2022, 34(5): 052102. doi: 10.1063/5.0089366

WANG Z, FENG P H, LIU G Q, et al. Load and motion behaviors of ogive-nosed projectile during high-speed water entry with angle of attack[J]. Ocean Engineering, 2022, 266: 112937. doi: 10.1016/j.oceaneng.2022.112937

WANG X H, LI P, SUN S M, et al. Numerical study on hydrodynamic and ballistic characteristics of projectile’s high-speed water-entry process[J]. Journal of Ship Mechanics, 2022, 26(8): 1111−1119 (in Chinese).

WANG X H, SUN S M, JI J L, et al. Numerical analysis of projectile’s high-speed entry tail pat based on coupled Euler-Lagrange method[J]. Acta Armamentarii, 2020, 41(S1): 110−115 (in Chinese).

辛万青, 黄彪, 魏海鹏, 等. 跨介质航行体流体动力学调控研究进展及新构想[J]. 导弹与航天运载技术, 2021, 6: 1−6.

ZOU Z H. Experimental study on cavitation flow characteristics of air injection ventilation[D]. Harbin: Harbin Engineering University, 2021 (in Chinese).

LINDAU J W, KUNZ R F, BOGER D A, et al. High Reynolds number, unsteady, multiphase CFD modeling of cavitating flows[J]. Journal of Fluids Engineering, 2002, 124(3): 607−616. doi: 10.1115/1.1487360

SEMENENKO V N. Computer modeling of pulsations of ventilated supercavities[J]. International Journal of Fluid Mechanics Research, 1996, 23(3-4): 302−312. doi: 10.1615/interjfluidmechres.v23.i3-4.140

WANG H D, QIAN P, LIANG X F, et al. Vertical plane motion control of an S-SWATH vehicle with flapping foil stabilisers sailing in waves[J]. Ocean Engineering, 2016, 121: 184−195. doi: 10.1016/j.oceaneng.2016.05.004

DZIELSKI J, KURDILA A. A benchmark control problem for supercavitating vehicles and an initial investigation of solutions[J]. Journal of Vibration and Control, 2003, 9(7): 791−804. doi: 10.1177/1077546303009007004

SUN T Z, ZHOU L, YIN Z H, et al. Cavitation bubble dynamics and structural loads of high-speed water entry of a cylinder using fluid-structure interaction method[J]. Applied Ocean Research, 2020, 101: 102285. doi: 10.1016/j.apor.2020.102285

YANG L, WEI Y J, GUO Y N. Water impact of deformable spheres with vertical and oblique entries[J]. Physics of Fluids, 2023, 35(3): 033320. doi: 10.1063/5.0143546

SHI H H, ZHOU D, WEN J S, et al. Fluid-solid interaction simulation of elastic cylindrical shell penetrating water based on the ALE method[J]. Journal of Ballistics, 2020, 32(1): 9−14, 46 (in Chinese). doi: 10.12115/j.issn.1004-499X(2020)01-002

GUI S W. Fluid-solid coupling analysis of high-speed projectile during water impact[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2020 (in Chinese).

LI T X. Study on characteristics of ballistic steering in water entry[D]. Nanjing: Nanjing University of Science and Technology, 2019 (in Chinese).

WANG M. Study on fluid-solid coupling mechanism of high-speed transonic vehicle[D]. Harbin: Harbin Engineering University, 2020 (in Chinese).

CHAUDHRY A Z, SHI Y, PAN G, et al. Mechanical characterization of flat faced deformable AUV during water entry impact considering the hydroelastic effects[J]. Applied Ocean Research, 2021, 115: 102849. doi: 10.1016/j.apor.2021.102849

ZHANG Z L, SHU C, KHALID M S U, et al. Investigations on the hydroelastic slamming of deformable wedges by using the smoothed particle element method[J]. Journal of Fluids and Structures, 2022, 114: 103732. doi: 10.1016/j.jfluidstructs.2022.103732

YANG L, WEI Y J, WANG C, et al. Viscoelasticity dependence on hydrodynamic responses during water entry[J]. Ocean Engineering, 2023, 272: 113890. doi: 10.1016/j.oceaneng.2023.113890

XIA S S, WEI Y J, WANG C, et al. Numerical investigation of the high-speed vertical water entry of a cylindrical shell[J]. Physics of Fluids, 2023, 35(3): 035132. doi: 10.1063/5.0142393

WU Q G, NI B Y, XUE Y Z, et al. Experimental and numerical study of free water exit and re-entry of a fully submerged buoyant spheroid[J]. Applied Ocean Research, 2018, 76: 110−124. doi: 10.1016/j.apor.2018.04.013

DE ROSIS A, TAFUNI A. A phase-field lattice Boltzmann method for the solution of water-entry and water-exit problems[J]. Computer-Aided Civil and Infrastructure Engineering, 2022, 37(7): 832−847. doi: 10.1111/mice.12651

WANG Y F, YE B S, WANG Z Y, et al. Vertical water entry of projectiles with surface seal[J]. Ocean Engineering, 2020, 216: 107606. doi: 10.1016/j.oceaneng.2020.107606

JIANG C X, SHUAI Z J, ZHANG X Y, et al. Numerical study on the transient behavior of water-entry supercavitating flow around a cylindrical projectile influenced by turbulent drag-reducing additives[J]. Applied Thermal Engineering, 2016, 104: 450−460. doi: 10.1016/j.applthermaleng.2016.05.102

YU Y L, SHI Y, PAN G, et al. Effect of asymmetric nose shape on the cavity and mechanics of projectile during high-speed water entry[J]. Ocean Engineering, 2022, 266: 112983. doi: 10.1016/j.oceaneng.2022.112983

SINGHAL A K, ATHAVALE M M, LI H Y, et al. Mathematical basis and validation of the full cavitation model[J]. Journal of Fluids Engineering, 2002, 124(3): 617−624. doi: 10.1115/1.1486223

TAMURA Y, MATSUMOTO Y. Improvement of bubble model for cavitating flow simulations[J]. Journal of Hydrodynamics, Ser B, 2009, 21(1): 41−46. doi: 10.1016/S1001-6058(08)60117-1

SUN P N, COLAGROSSI A, MARRONE S, et al. The δplus-SPH model: simple procedures for a further improvement of the SPH scheme[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 315: 25−49. doi: 10.1016/j.cma.2016.10.028

CHIRON L, OGER G, DE LEFFE M, et al. Analysis and improvements of Adaptive Particle Refinement (APR) through CPU time, accuracy and robustness considerations[J]. Journal of Computational Physics, 2018, 354: 552−575. doi: 10.1016/j.jcp.2017.10.041

SUN P N, ZHANG A M, MARRONE S, et al. An accurate and efficient SPH modeling of the water entry of circular cylinders[J]. Applied Ocean Research, 2018, 72: 60−75. doi: 10.1016/j.apor.2018.01.004

YANG S. Study on transient fluid-solid coupling characteristics of rotary structure entering water based on SPH method[D]. Harbin: Harbin Engineering University, 2020 (in Chinese).

ZHAO Z X, HONG Y, GONG Z X, et al. Numerical analysis of cavity deformation of oblique water entry using a multi-resolution two-phase SPH method[J]. Ocean Engineering, 2023, 269: 113456. doi: 10.1016/j.oceaneng.2022.113456

ZHAO Z X, BILOTTA G, YUAN Q E, et al. Multi-GPU multi-resolution SPH framework towards massive hydrodynamics simulations and its applications in high-speed water entry[J]. Journal of Computational Physics, 2023, 490: 112339. doi: 10.1016/j.jcp.2023.112339

WANG P P, ZHANG A M, MING F R, et al. A novel non-reflecting boundary condition for fluid dynamics solved by smoothed particle hydrodynamics[J]. Journal of Fluid Mechanics, 2019, 860: 81−114. doi: 10.1017/jfm.2018.852

FANG X L, MING F R, WANG P P, et al. Application of multiphase Riemann-SPH in analysis of air-cushion effect and slamming load in water entry[J]. Ocean Engineering, 2022, 248: 110789. doi: 10.1016/j.oceaneng.2022.110789

MENG Z F, MING F R, WANG P P, et al. Numerical simulation of water entry problems considering air effect using a multiphase Riemann-SPH model[J]. Advances in Aeronautics, 2021, 3(1): 13. doi: 10.1186/s42774-021-00066-x

SHAO S D. Incompressible SPH simulation of water entry of a free-falling object[J]. International Journal for Numerical Methods in Fluids, 2009, 59(1): 91−115. doi: 10.1002/fld.1813

YAN J L, LI S F, KAN X Y, et al. Updated Lagrangian particle hydrodynamics (ULPH) modeling of solid object water entry problems[J]. Computational Mechanics, 2021, 67(6): 1685−1703. doi: 10.1007/s00466-021-02014-4

CHEN X, WAN D C. GPU accelerated MPS method for large-scale 3-D violent free surface flows[J]. Ocean Engineering, 2019, 171: 677−694. doi: 10.1016/j.oceaneng.2018.11.009

HUANG C Y, ZHANG G Y, WAN D C. Hydroelastic responses of an elastic cylinder impacting on the free surface by MPS-FEM coupled method[J]. Acta Mechanica Sinica, 2022, 38(11): 322057. doi: 10.1007/s10409-022-22057-x

WANG L, XU F, YANG Y. Research on water entry problems of gas-structure-liquid coupling based on SPH method[J]. Ocean Engineering, 2022, 257: 111623. doi: 10.1016/j.oceaneng.2022.111623

WANG L, XU F, YANG Y, et al. A dynamic particle refinement strategy in Smoothed Particle Hydrodynamics for Fluid–Structure Interaction problems[J]. Engineering Analysis with Boundary Elements, 2019, 100: 140−149. doi: 10.1016/j.enganabound.2018.01.012

LIU Y L, WANG P P, WANG S P, et al. Numerical analysis of transient fluid-structure interaction of warship impact damage caused by underwater explosion using the FSLAB[J]. Chinese Journal of Ship Research, 2022, 17(5): 228−240 (in Chinese). doi: 10.19693/j.issn.1673-3185.02865