|Table of Contents|

Citation:
　Ming He,Yexian Wang,Enfan Lin,et al.Numerical Simulation and Characteristic Analysis of Water Entry Cavitation in Limited-Domain Water[J].Journal of Marine Science and Application,2026,(2):393-402.[doi:10.1007/s11804-025-00691-8]
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Numerical Simulation and Characteristic Analysis of Water Entry Cavitation in Limited-Domain Water

Info

Title:
Numerical Simulation and Characteristic Analysis of Water Entry Cavitation in Limited-Domain Water
Author(s):
Ming He1;  Yexian Wang1;  Enfan Lin1;  Wenzhi Cui1;  Jiale Yan1; 2
Affilations:
Author(s):
Ming He1;  Yexian Wang1;  Enfan Lin1;  Wenzhi Cui1;  Jiale Yan1; 2
1. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, BIC-ESAT, College of Engineering, Peking University, Beijing, 100871, China;
2. Laoshan Laboratory, Qingdao, 266237, China
Keywords:
Water entry|Fluid-structure interaction|Limited-domain|Eulerian finite element method|Immersed boundary method
分类号:
-
DOI:
10.1007/s11804-025-00691-8
Abstract:
Structural water entry remains a significant issue in fluid mechanics. Technological advancements and the diversification of application scenarios have introduced complex environmental boundaries, including irregular fluid and limited-domain boundaries, which are encountered during water entry. This study employs the Eulerian finite element method to simulate fluid dynamics and applies an improved immersed boundary method to address problems involving fluid-structure interaction interfaces. A coupled numerical model for structural water entry in limited-domain water is developed. Initially, a theory of water entry cavitation is derived, and the approximate range of boundary effects is determined. Results of pressure regulation experiments show that the numerical model fully demonstrates the numerical algorithm’s effectiveness. Therefore, numerical methods are used in comprehensively analyzing the effects of structural size, water domain size, and water entry speed. Modifications to these factors can alter cavitation evolution characteristics, influencing a structure’s motion state by qualitatively revealing the physical mechanisms of the process through the evolution of free surfaces, speed attenuation, and acceleration evolution at varying parameters. The findings provide valuable technical support for future navigation design.

References:

[1] Aristoff JM, Bush JWM (2009) Water entry of small hydrophobic spheres. Journal of Fluid Mechanics 619: 45-78. DOI: 10.1017/S0022112008004382
[2] Benson DJ (2008) Momentum advection on unstructured staggered quadrilateral meshes. International Journal for Numerical Methods in Engineering 75(13): 1549-1580. DOI: 10.1002/nme.2310
[3] Benson DJ, Okazawa S (2004) Contact in a multi-material Eulerian finite element formulation. Computer Methods in Applied Mechanice and Engineering 193(39/41): 4277-4298. DOI: 10.1016/j.cma.2003.12.061
[4] Gekle S, Peters I, Gordillo JM, Meer DVD, Lohse D (2009) Supersonic air flow due to solid-liquid impact. Physical Review Letters 104(2): 024501. DOI: 10.1103/PhysRevLett.104.024501
[5] Hangen N (1999) Correction of incipient cavitation number for scale effect. Journal of Hydraulic Engineering 30(9): 28-32. DOI: 10.3321/j.issn:0559-9350.1999.09.005
[6] He M, Liu YL, Ren SF, Liu WT (2021) The nonlinear coupling of oscillating bubble and floating body with circular hole. Computer Modeling in Engineering & Sciences 127(3): 923-942. DOI: 10.32604/cmes.2021.015259
[7] He M, Yan JL, Lv PY, Duan HL, Zhang AM (2024) Research on ice-breaking characteristics of underwater explosion bubbles based on an effective coupled model. Applied Ocean Research 153: 104259. DOI: 10.1016/j.apor.2024.104259
[8] Howison SD, Ockendon JR, Wilson SK (1991) Incompressible water-entry problems at small deadrise angles. Journal of Fluid Mechanics 222: 215-230. DOI: 10.1017/S0022112091001076
[9] Huang XT, Sun PN, Lyu HG, Zhang AM (2022) Water entry problems simulated by an axisymmetric SPH model with vas scheme. Journal of Marine Science and Application 21(2): 1-15. DOI: 10.1007/s11804-022-00265-y
[10] Iranmanesh A, Passandideh-Fard M (2017) A three-dimensional numerical approach on water entry of a horizontal circular cylinder using the volume of fluid technique. Ocean Engineering 130: 557-566. DOI: 10.1016/j.oceaneng.2016.12.018
[11] Karman TV (1929) The impact of seaplane floats during landing. National Advisory Committee for Aeronatics, technical note No. 321, 309-313
[12] Lee M, Longoria R, Wilson D (1997) Cavity dynamics in high-speed water entry. Physics of Fluids 9(3): 540-550. DOI: 10.1063/1.869472
[13] Liu H, Zhou B, Han XS, Zhang T, Zhou BK, Gho WM (2020) Numerical simulation of water entry of an inclined cylinder. Ocean Engineering 215: 107908. DOI: 10.1016/j.oceaneng.2020.107908
[14] Logvinovich GV (1969) Hydrodynamics of flows with free boundaries. Naukova Dumka, Kiev, 216 pp
[15] Peskin CS (1972) Flow patterns around heart valves: a numerical method. Journal of Computational Physics 10(2): 252-271. DOI: 10.1016/0021-9991(72)90065-4
[16] Prasad BS, Sastry GRK, Das HN (2024) A comprehensive review study on multiphase analysis of water entry bodies. Ocean Engineering 292: 116579. DOI: 10.1016/j.oceaneng.2023.116579
[17] Sun PN, Zhang AM, Marrone S, Ming FR (2018) An accurate and efficient SPH modeling of the water entry of circular cylinders. Applied Ocean Research 72: 60-75. DOI: 10.1016/j.apor.2018.01.004
[18] Tian ZL, Liu YL, Zhang AM, Tao LB (2020) Energy dissipation of pulsating bubbles in compressible fluids using the Eulerian finite-element method. Ocean Engineering 196: 106714. DOI: 10.1016/j.oceaneng.2019.106714
[19] Tian ZL, Liu YL, Zhang AM, Wang SP (2018) Analysis of breaking and re-closure of a bubble near a free surface based on the Eulerian finite element method. Computers & Fluids 170: 41-52. DOI: 10.1016/j.compfluid.2018.04.028
[20] Truscott TT, Epps BP, Belden J (2014) Water entry of projectiles. Annual Review of Fluid Mechanics 46(1): 355-378. DOI: 10.1146/annurev-fluid-011212-140753
[21] Truscott TT, Techet AH (2009) Water entry of spinning spheres. Journal of Fluid Mechanics 625: 135-165. DOI: 10.1017/S0022112008005533
[22] Wagner H (1932) Phenomena associated with impacts and sliding on liquid surfaces. Mathematics and Mechanics 12(4): 193-215
[23] Wang WH, Wang YY (2010) Numerical study on cylinder entering water in wave. Journal of Shanghai Jiao Tong University 44(10): 1393-1399
[24] Wang ZY, Cheng HY, Ji B (2021) Euler-Lagrange study of cavitating turbulent flow around a hydrofoil. Physics of Fluids 33(11): 112108. DOI: 10.1063/5.0070312
[25] Wang ZY, Cheng HY, Ji B, Peng XX (2023) Numerical investigation of inner structure and its formation mechanism of cloud cavitating flow. International Journal of Multiphase Flow 165: 104484. DOI: 10.1016/j.ijmultiphaseflow.2023.104484
[26] Worthington AM, Cole RS (1899) Impact with a liquid surface, studied by the aid of instantaneous photography. Paper II. Proceedings of the Royal Society of London 65: 153-154. DOI: 10.1098/rspl.1899.0014
[27] Yuan XL, Wang YD, Zhu Z (2012) Experimental investigation on hydrodynamic characteristics of supercavitating vehicles. 8th International Symposium on Cavitation. DOI: 10.3850/978-981-07-2826-7_087
[28] Zhang AM, Li SM, Xu RZ, Pei SC, Li S, Liu YL (2024) A theoretical model for compressible bubble dynamics considering phase transition and migration. Journal of Fluid Mechanics 999: A58. DOI: 10.1017/jfm.2024.954
[29] Zhang GY, Yan HR, Song H, Wang H, Hui D (2022) Numerical investigation on the deformation of the free interface during water entry and exit of a circular cylinder by using the immersed boundary-multiphase lattice Boltzmann flux solver. Journal of Marine Science and Application 21(3): 99-113. DOI: 10.1007/s11804-022-00292-9
[30] Zhang Q, Zong Z, Sun TZ, Yu YQ, Li HT (2021) Characteristics of cavity collapse behind a high-speed projectile entering the water. Physics of Fluids 33(6): 062110. DOI: 10.1063/5.0053409
[31] Zhang YQ, Xu F, Cai WJ, Li JC (2017) Experimental study on the impact response of different structures water entry. International Conference on Mechanical & Aerospace Engineering, 644-647. DOI: 10.1109/ICMAE.2017.8038723
[32] Zou W, Gan H (2024) Free motion characteristics of the ventilated supercavitating vehicles. Journal of Physics: Conference Series 2756: 012046. DOI: 10.1088/1742-6596/2756/1/012046

Memo

Memo:
Received date:2025-1-2;Accepted date:2025-2-23。<br>Foundation item:Supported by the National Natural Science Foundation of China under Grant Nos. 52401312, 38021746 and 12202011, China Postdoctoral Science Foundation under Grant No. 2023M740036 and 2022M710190, and the Postdoctoral Fellowship Program of CPSF under Grant No. GZC20240014.<br>Corresponding author:Jiale Yan,E-mail:jialeyan@pku.edu.cn
Last Update: 2026-06-08