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Journal articles on the topic 'Supercavitating underwater vehicles'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Ruzzene, Massimo, and Francesco Soranna. "Impact Dynamics of Elastic Stiffened Supercavitating Underwater Vehicles." Journal of Vibration and Control 10, no. 2 (2004): 243–67. http://dx.doi.org/10.1177/1077546304035607.

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The dynamic behavior of and the vibration in supercavitating underwater vehicles are here investigated and controlled. Supercavitating vehicles exploit supercavitation as a means to reduce drag and increase their underwater speed. The forces acting on supercavitating vehicles are completely different from those on conventional submerged bodies, since only a tiny percentage of their external surface area is wetted and water-vapor forces are almost negligible. The hydrodynamic stability of supercavitating bodies is achieved through after-body planing, or surfing, along the internal surface of th

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2

Zhang, Xiaoyu, Yanhui Wei, Yuntao Han, Tao Bai, and Kemao Ma. "Design and comparison of LQR and a novel robust backstepping controller for supercavitating vehicles." Transactions of the Institute of Measurement and Control 39, no. 2 (2016): 149–62. http://dx.doi.org/10.1177/0142331215607614.

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Traditional underwater vehicles are limited in speed due to dramatic friction drag on the hull. Supercavitating vehicles exploit supercavitation as a means to reduce drag and increase their underwater speed. Compared with fully wetted vehicles, the non-linearity in the modelling of cavitator, fin and in particular the planing force make the control design of supercavitating vehicles more challenging. Dominant non-linearities associated with planing force are taken into account in the model of supercavitating vehicles in this paper. Two controllers are proposed to realize stable system dynamics

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3

Zhao, Jing, Yong Yan Su, Yan Zhao, and Guo Yu Wang. "Study on Numerical Simulation Method for Motion of Supercavitation Vehicles." Applied Mechanics and Materials 157-158 (February 2012): 193–96. http://dx.doi.org/10.4028/www.scientific.net/amm.157-158.193.

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A calculation method was developed to predict motion of supercavitation vehicles based on the computational fluid dynamics (CFD) model. Control equation of supercavitating flow and motion equations of vehicles are coupling solved through self-made software. This method can directly obtain hydrodynamic data of the vehicle and accurately predict instantaneous motion attitude and trajectory of the vehicle. The simulation results of a supercavitation vehicle motion process show that this method can predict interaction between vehicle and cavity surface and periodic tail beat phenomenon, which acco

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4

Lin, Ming Dong, Fan Hu, Wei Hua Zhang, and Zhen Yu Ma. "Research of Configuration Design for Supercavitating Vehicles." Applied Mechanics and Materials 110-116 (October 2011): 2239–44. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.2239.

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Supercavitating vehicle utilizes supercavity to reduce the drag force when travelling underwater. It could achieve a speed higher than 200Kn. The dynamic equations of supercavitating vehicle in the vertical plane were studied and the forces are analyzed in detail in this study. Three possible balanced states and configurations are analyzed. Considering the deviation of mass center during the flight, trajectories of uncontrolled supercavitating flight with these configurations are calculated respectively. Results show that fin position and the deviation of center of mass are main factors that a

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5

Phuc, Bui Duc Hong, Viet-Duc Phung, Sam-Sang You, and Ton Duc Do. "Fractional-order sliding mode control synthesis of supercavitating underwater vehicles." Journal of Vibration and Control 26, no. 21-22 (2020): 1909–19. http://dx.doi.org/10.1177/1077546320908412.

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A high-speed supercavitating vehicle is a future underwater vehicle which exploits the supercavitating propulsion technology providing a promising way to increase the vehicle speed. Robust control challenges include complex vehicle maneuvering dynamics caused by factors such as undesired switching, delayed state dependency, and nonlinearities. As effective and applicable controllers, a novel fractional-order sliding mode controller is proposed to robustly control the uncertain high-speed supercavitating vehicle system against external disturbances. The control scheme uses sliding mode control

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6

Ruzzene, M., R. Kamada, C. L. Bottasso, and F. Scorcelletti. "Trajectory Optimization Strategies for Supercavitating Underwater Vehicles." Journal of Vibration and Control 14, no. 5 (2008): 611–44. http://dx.doi.org/10.1177/1077546307076899.

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7

Anbarsooz, Morteza. "A numerical study on drag reduction of underwater vehicles using hydrophobic surfaces." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 233, no. 1 (2017): 301–9. http://dx.doi.org/10.1177/1475090217740470.

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During last decades, many investigations have been done to find suitable solutions to reduce the drag force of underwater vehicles. These attempts can be divided into two main categories: supercavitating vehicles and unseparated flow patterns. In this study, a novel approach is introduced which uses hydrophobic surfaces for an underwater vehicle with an unseparated flow body profile. Fluid slippage on hydrophobic walls can lead to a considerable reduction of skin friction drag. The effectiveness of this approach for underwater hulls has been examined numerically. In this regard, first, the num

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8

Xiong, Tianhong, Yipin Lv, and Wenjun Yi. "Nonlinear Vibration and Control of Underwater Supercavitating Vehicles." IEEE Access 6 (2018): 62503–13. http://dx.doi.org/10.1109/access.2018.2876596.

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9

Ma, Zhen Yu, Fan Hu, Ming Dong Lin, and Wei Hua Zhang. "Optimal Design of Supercavitating Underwater Vehicles for Mass Distribution." Applied Mechanics and Materials 110-116 (October 2011): 4808–15. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.4808.

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A finite element model for supercavitating underwater vehicles is developed considering the effects of the connection surfaces of cabins and the non-structural mass distribution on the structural dynamic characteristics. The frequency response of supercavitating underwater vehicles is investigated, and the performance of the configuration with flanged connections is compared to those of the configuration with sleeve connections. The flanged and sleeve configurations are then optimized while minimizing the mass of the shells and the centre-of-gravity coordinate in the axial direction respective

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10

Lv, Yipin, Tianhong Xiong, Wenjun Yi, and Jun Guan. "Robustness of Supercavitating Vehicles Based on Multistability Analysis." Advances in Mathematical Physics 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/6894041.

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Supercavity can increase speed of underwater vehicles greatly. However, external interferences always lead to instability of vehicles. This paper focuses on robustness of supercavitating vehicles. Based on a 4-dimensional dynamic model, the existence of multistability is verified in supercavitating system through simulation, and the robustness of vehicles varying with parameters is analyzed by basins of attraction. Results of the research disclose that the supercavitating system has three stable states in some regions of parameters space, namely, stable, periodic, and chaotic states, while in

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11

Ahn, Seong Sik, Massimo Ruzzene, Francesco Scorcelletti, and Carlo L. Bottasso. "Configuration Optimization of Supercavitating Underwater Vehicles With Maneuvering Constraints." IEEE Journal of Oceanic Engineering 35, no. 3 (2010): 647–62. http://dx.doi.org/10.1109/joe.2010.2043576.

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12

Choi, Jou-Young, and Massimo Ruzzene. "Stability analysis of supercavitating underwater vehicles with adaptive cavitator." International Journal of Mechanical Sciences 48, no. 12 (2006): 1360–70. http://dx.doi.org/10.1016/j.ijmecsci.2006.06.016.

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13

Kim, Jonghoek. "A Robust Impulsive Control Strategy of Supercavitating Vehicles in Changing Systems." Applied Sciences 8, no. 12 (2018): 2355. http://dx.doi.org/10.3390/app8122355.

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Supercavitation is a hydrodynamic phenomenon in which an underwater body is almost entirely inside the cavity wall. Since the density of the gas is much lower than that of water, skin friction drag can be reduced considerably. We develop controllers to control a supercavitating vehicle, which is a high-speed vehicle with a cavitator at its nose. We designed controllers based on impulsive inputs, which are used to change the pitch of the vehicle slightly. This slight pitch change is desirable, since a large pitch change can lead to instability of the vehicle due to large planing force. Moreover

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14

Phuc, Bui Duc Hong, Sang-Do Lee, Sam-Sang You, and Natwar Singh Rathore. "Nonlinear robust control of high-speed supercavitating vehicle in the vertical plane." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 234, no. 2 (2019): 510–19. http://dx.doi.org/10.1177/1475090219875861.

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The supercavitating vehicle can quickly become unstable under the influence of the planing force and external disturbances due to waves and currents. The planing force demonstrates nonlinear characteristics which can be described by the vehicle state variables. Strict standards for maneuvering strategy are required for high-speed vehicles to operate, particularly guidance, navigation, and control of underwater maneuver. In reality, the high-speed supercavitating vehicle dynamics present various control issues and challenges. This article proposes the nonlinear robust control synthesis to manip

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15

Semenenko, V., and O. Naumova. "Some ways of hydrodynamic fin application for underwater supercavitating vehicles." Hydrodynamics and Acoustics 1, no. 3 (2019): 355–71. http://dx.doi.org/10.15407/jha2018.03.355.

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16

Li, Daijin, Qiuru Liu, Kan Qin, Chuang Huang, Kai Luo, and Jianjun Dang. "Classical control of underwater supercavitating vehicles via variable splitting method." Ships and Offshore Structures 14, no. 7 (2018): 765–76. http://dx.doi.org/10.1080/17445302.2018.1562411.

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17

Ye, Huijuan, Xiyong Zhang, and Xinye Wang. "Design of Pose Controller of Underwater Supercavitating Vehicles Based on Variable Structure." Journal of Physics: Conference Series 1288 (August 2019): 012048. http://dx.doi.org/10.1088/1742-6596/1288/1/012048.

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18

Zhou, Ling, Wei Guang An, and Hai An. "Structure Buckling Non-Probabilistic Reliability Index Calculation of Ventilated Supercavitating Vehicles." Advanced Materials Research 97-101 (March 2010): 4447–50. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.4447.

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Supercavitating vehicles which cruise at a certain depth with high underwater velocity undergo high longitudinal force and circumferential pressure caused by ventilated cavity. The combination loads may cause structure buckling. Critical buckling loads coefficient of thin cylindrical shell with stiffened rings is obtained by semi-analytical FEM. The uncertainty of structural own parameters and ventilated cavitation number is described by interval sets, and then computational steps of COA for calculating buckling non-probabilistic reliability index (BNRI) are presented. It is analyzed that vari

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19

Daijin, Li, Li Fengjie, Shi Yazhen, Dang Jianjun, and Luo Kai. "A novel hydrodynamic layout of front vertical rudders for maneuvering underwater supercavitating vehicles." Ocean Engineering 215 (November 2020): 107894. http://dx.doi.org/10.1016/j.oceaneng.2020.107894.

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20

Ahn, S. S., and M. Ruzzene. "Optimal design of cylindrical shells for enhanced buckling stability: Application to supercavitating underwater vehicles." Finite Elements in Analysis and Design 42, no. 11 (2006): 967–76. http://dx.doi.org/10.1016/j.finel.2006.01.015.

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21

Dzielski, John, and Andrew Kurdila. "A Benchmark Control Problem for Supercavitating Vehicles and an Initial Investigation of Solutions." Journal of Vibration and Control 9, no. 7 (2003): 791–804. http://dx.doi.org/10.1177/1077546303009007004.

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At very high speeds, underwater bodies develop cavitation bubbles at the trailing edges of sharp corners or from contours where adverse pressure gradients are sufficient to induce flow separation. Coupled with a properly designed cavitator at the nose of a vehicle, this natural cavitation can be augmented with gas to induce a cavity to cover nearly the entire body of the vehicle. The formation of the cavity results in a significant reduction in drag on the vehicle and these so-called high-speed supercavitating vehicles (HSSVs) naturally operate at speeds in excess of 75 m s-1. The first part o

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22

Yu, Beomyeol, Hyemin Mo, Seungkeun Kim, Jong-Hyon Hwang, Jeong-Hoon Park, and Yun-Ho Jeon. "Performance Analysis on Depth and Straight Motion Control based on Control Surface Combinations for Supercavitating Underwater Vehicle." Journal of the Korea Institute of Military Science and Technology 24, no. 4 (2021): 435–48. http://dx.doi.org/10.9766/kimst.2021.24.4.435.

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This study describes the depth and straight motion control performance depending on control surface combinations of a supercavitating underwater vehicle. When an underwater vehicle experiences supercavitation, friction resistance can be minimized, thus achieving the effect of super-high-speed driving. Six degrees of freedom modeling of the underwater vehicle are performed and the guidance and control loops are designed with not only a cavitator and an elevator, but also a rudder and a differential elevator to improve the stability of the roll and yaw axis. The control performance based on the

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23

Xiong, Tianhong, Yipin Lv, and Wenjun Yi. "Analysis on Multistable Motion Characteristics of Supercavitating Vehicle." Shock and Vibration 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/9712687.

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Due to complex underwater environment, when the initial condition of launching is subjected to low external disturbance, the motion trace of a supercavitating vehicle might display many different motion states during underwater navigation. With the aim of addressing this problem, based on the dynamic map, in the present work the multistable phenomena of attractor coexistence of the supercavitating vehicle system under various initial conditions were analyzed and the initial condition effects on the multistable motion characteristics were investigated through the domains of attraction, time, an

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24

Xiong, Tianhong, Xianyi Li, Yipin Lv, and Wenjun Yi. "Research on the Numerical Simulation of the Nonlinear Dynamics of a Supercavitating Vehicle." Shock and Vibration 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/8268071.

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Little is known about the movement characteristics of the supercavitating vehicle navigating underwater. In this paper, based on a four-dimensional dynamical system of this vehicle, its complicated dynamical behaviors were analyzed in detail by numerical simulation, according to the phase trajectory diagram, the bifurcation diagram, and the Lyapunov exponential spectrum. The influence of control parameters (such as various cavitation numbers and fin deflection angles) on the movement characteristics of the supercavitating vehicle was mainly studied. When the system parameters vary, various com

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25

He, Qian Kun, Jia Zhong Zhang, Ying Jie Wei, Cong Wang, and Wei Cao. "Dynamic Response of Supercavitating Underwater Vehicle Impacted by Tail-Slap Force." Applied Mechanics and Materials 50-51 (February 2011): 536–40. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.536.

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Based on the movement characteristics of the supercavitating underwater vehicle, the tail impact force has been defined by summarizing related papers, then the dynamic responses of structure has been simulated by using Finite Element Method. The displacement and acceleration responses and corresponding spectrums have been gotten. The calculation results show that: the displacement response along impact force's direction oscillates periodically; the displacement response along body axis lengthens and shortens periodically; the displacement response along the 3rd axis increases over time. The ac

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26

Chung, Min-Ho, Hee-Jun Lee, Yeon-Cheol Kang, et al. "Experimental study on dynamic buckling phenomena for supercavitating underwater vehicle." International Journal of Naval Architecture and Ocean Engineering 4, no. 3 (2012): 183–98. http://dx.doi.org/10.3744/jnaoe.2012.4.3.183.

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27

Kim, Seonhong, and Nakwan Kim. "A Study on Design Constraints of a Supercavitating Underwater Vehicle." Journal of the Society of Naval Architects of Korea 53, no. 1 (2016): 54–61. http://dx.doi.org/10.3744/snak.2016.53.1.54.

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28

Chung, Minho, Hee Jun Lee, Yeon Cheol Kang, et al. "Experimental study on dynamic buckling phenomena for supercavitating underwater vehicle." International Journal of Naval Architecture and Ocean Engineering 4, no. 3 (2012): 183–98. http://dx.doi.org/10.2478/ijnaoe-2013-0089.

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29

Jeon, Yunho, Jeonghoon Park, and Kwansoo Jeon. "A Numerical Study on the Characteristics of the Supercavitation and Hydrodynamic Forces Generated in a Supercavitating Underwater Vehicle with Angle of Attack." Journal of the Society of Naval Architects of Korea 58, no. 4 (2021): 214–24. http://dx.doi.org/10.3744/snak.2021.58.4.214.

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30

Kim, Dong-Hyun, and Warn-Gyu Park. "Numerical Analysis of Cavity Characteristics and Thrust for Supercavitating Underwater Vehicle." Journal of Ocean Engineering and Technology 31, no. 1 (2017): 8–13. http://dx.doi.org/10.5574/ksoe.2017.31.1.008.

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31

An, Hai, Wei Guang An, and Ling Zhou. "Structure Buckling Reliability Analysis for the Underwater Super-Speed Supercavitating Vehicle." Key Engineering Materials 488-489 (September 2011): 601–4. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.601.

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An approach to the structure buckling reliability analysis for the underwater super-speed supercavitating vehicle is proposed in this paper. The circular ribbed part-cabin of the vehicle is simplified as the thin cylindrical shell with variable thickness. The critical buckling load coefficient of the thin cylindrical shell is solved by using semi-analytical FEM (finite element method). The structure buckling reliability index is obtained by SFEM (Stochastic Finite Element Method) combining Limit Step Length Iteration Method. A numerical example is given to analyze influences of the number of c

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32

Kim, Seonhong, Nakwan Kim, Minjae Kim, Jonghoek Kim, and Kurnchul Lee. "Planing Avoidance Control for a Supercavitating Underwater Vehicle Based on Potential Functions." Journal of Ocean Engineering and Technology 32, no. 3 (2018): 208–12. http://dx.doi.org/10.26748/ksoe.2018.6.32.3.208.

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33

Yang, Li. "Study on Drag Reduction of Underwater High-Speed Vehicles with Supercavitation Coverage." Journal of Computational and Theoretical Nanoscience 13, no. 8 (2016): 5357–60. http://dx.doi.org/10.1166/jctn.2016.5424.

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34

Park, Hyun-Ji, Ji-Hye Kim, and Byoung-Kwon Ahn. "Numerical Analysis of Axisymmetric Supercavitating Underwater Vehicle with the Variation of Shape Parameters." Journal of the Society of Naval Architects of Korea 55, no. 6 (2018): 482–89. http://dx.doi.org/10.3744/snak.2018.55.6.482.

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35

Kang, Byung Yun, Seyeon Jang, and Shin-Hyoung Kang. "Numerical Investigation of Drag and Lift Characteristics of Cavitator of Supercavitating Underwater Vehicle." Transactions of the Korean Society of Mechanical Engineers B 38, no. 10 (2014): 797–805. http://dx.doi.org/10.3795/ksme-b.2014.38.10.797.

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36

Hu, Xiao, and Ye Gao. "Numerical Investigation on Supercavitating Phenomenon for the Variable-Lateral-Force Cavitator." Applied Mechanics and Materials 607 (July 2014): 376–81. http://dx.doi.org/10.4028/www.scientific.net/amm.607.376.

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A control scheme named the variable-lateral-force cavitator was proposed based on the theory of traditional variable-drag cavitator, the three-dimensional cavitating flow around the cavitator was investigated as well. It is confirmed that the drag, lift, lateral forces and cavity size of underwater vehicle can be effectively adjusted through the movements of control element of variable-lateral-force cavitator in both longitudinal and circumferential directions. In addition, an amount of pitching (or yawing) force equivalent to 30% of drag in magnitude will be produced when the displacement of

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37

Kim, Seon Hong, and Nakwan Kim. "Study on Dynamics Modeling and Depth Control for a Supercavitating Underwater Vehicle in Transition Phase." Journal of the Society of Naval Architects of Korea 51, no. 1 (2014): 88–98. http://dx.doi.org/10.3744/snak.2014.51.1.88.

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38

Jeong, So-Won, Sang-Tae Park, and Byoung-Kwon Ahn. "An Experimental Study on Hydrodynamic Characteristics of a Control Fin for a Supercavitating Underwater Vehicle." Journal of the Society of Naval Architects of Korea 55, no. 1 (2018): 75–82. http://dx.doi.org/10.3744/snak.2018.55.1.75.

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39

Xu, Haiyu, Kai Luo, Chuang Huang, and Zhenhao Zuo. "Influence of Flow Field's Radial Dimension on Ventilated Supercavitating Flow." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 38, no. 3 (2020): 478–84. http://dx.doi.org/10.1051/jnwpu/20203830478.

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To investigate the influence of flow field's radial dimension on the flow of the portion gas-leakage supercavity, based on the two-fluid multiphase flow model and SST turbulence model, considering the compressibility of ventilated gas, a 3D simulation model of ventilated supercavity was established to simulate the flow of the supercavitation, which was consistent with water tunnel experiment. The effect of flow field's radial dimension on ventilated supercavity's dimension and pressure distribution was studied. The results show that flow field's radial dimension has a significant effect on the

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40

Yoo, Sang Won, Woo Keun Lee, Tea Soon Kim, Young Kyun Kwack, and Sung Ho Ko. "Numerical Analysis for Drag Force of Underwater Vehicle with Exhaust Injected inside Supercavitation Cavity." Transactions of the Korean Society of Mechanical Engineers B 39, no. 12 (2015): 913–19. http://dx.doi.org/10.3795/ksme-b.2015.39.12.913.

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41

Koch, Robert M. "Dynamic structural–acoustic–piezoelectric finite‐element analysis of a sonar array for a supercavitating high‐speed underwater vehicle." Journal of the Acoustical Society of America 108, no. 5 (2000): 2625. http://dx.doi.org/10.1121/1.4743775.

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42

Zhao, Hairui, Yao Shi, and Guang Pan. "Numerical simulation of cavitation characteristics in high speed water entry of head-jetting underwater vehicle." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 39, no. 4 (2021): 810–17. http://dx.doi.org/10.1051/jnwpu/20213940810.

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Autonomous underwater vehicle will be subjected to a huge impact load during high speed water entry, which will damage the structure and the internal instruments of the vehicle. Therefore, it is of great significance to study the buffer mechanism of the vehicle during the process of water-entry. In this paper, a kind of head-jetting device with disk cavitation is used. The complex cavitation forms, under the three-phase coupling of gas, liquid and solid, in the water entry process of the vehicle on which the device is installed. In this paper, the numerical simulation of high-speed water entry

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43

Hwang, Dae-Gyu, Byoung-Kwon Ahn, Jeong-Hoon Park, Yun-Ho Jeon, and Jong-Hyon Hwang. "Numerical Analysis of the Supercavitating Underwater Vehicle According to Different Shapes and Depth Conditions Using a VP-BEM Method." Journal of the Korea Institute of Military Science and Technology 24, no. 2 (2021): 237–44. http://dx.doi.org/10.9766/kimst.2021.24.2.237.

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44

Yang, WuGang, ZhenCai Yang, KaiGe Wen, ZhaoHui Yang, and YuWen Zhang. "Numerical investigation on the gas entrainment rate on ventilated supercavity body." Journal of Computational Multiphase Flows 8, no. 4 (2016): 169–77. http://dx.doi.org/10.1177/1757482x16654021.

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The supercavitation technique provides a means of significantly increasing the velocity of an underwater vehicle. This technique involves essentially the creation of stable supercavity shape. The method of artificial ventilation is most effective for generating and dominating the supercavity. This paper focuses on the numerical simulation of flow field around three-dimensional body. The method is based on the multiphase computational fluid dynamics model combined with the turbulence model and the full cavity model. The fundamental similarity parameters of ventilated supercavity flows that incl

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45

Zou, Wang, Tingxu Liu, Yongkang Shi, and Jiaxin Wang. "Analysis of Motion Characteristics of a Controllable Ventilated Supercavitating Vehicle Under Accelerations." Journal of Fluids Engineering, May 19, 2021. http://dx.doi.org/10.1115/1.4051216.

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Abstract The development of a maneuverable underwater high-speed vehicle is worthy of attention and study using supercavitation drag reduction theory and technology. The supercavity shape determines the hydrodynamics of the vehicle, and especially during a maneuver, its unsteady characteristics have a significant impact on the motion stability of the vehicle. The three-dimensional dynamic model of a ventilated supercavitating vehicle is established using the unsteady supercavity dynamic model based on the rigid body dynamics theory as an extension of the vehicle's longitudinal dynamic model in

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46

Bottasso, Carlo L., Francesco Scorcelletti, Massimo Ruzzene, and Seong S. Ahn. "Trajectory Optimization for DDE Models of Supercavitating Underwater Vehicles." Journal of Dynamic Systems, Measurement, and Control 131, no. 1 (2008). http://dx.doi.org/10.1115/1.3023117.

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In this study we first develop a flight mechanics model for supercavitating vehicles, which is formulated to account for the dependence of the cavity shape from the past history of the system. This mathematical model is governed by a particular class of delay differential equations, featuring time delays on the states of the system. Next, flight trajectories and maneuvering strategies for supercavitating vehicles are obtained by solving an optimal control problem, whose solution, given a cost function and general constraints and bounds on states and controls, yields the control time histories

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47

Karn, Ashish, R. Huang, S. Shao, R. E. A. Arndt, and Jiarong Hong. "Probing into Physics of Ventilation Demand for Supercavitating Underwater Vehicles." SSRN Electronic Journal, 2016. http://dx.doi.org/10.2139/ssrn.3173466.

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48

Li, Daijin, Wanyu Chen, Yazhen Shi, and Kai Luo. "Bow rudder of cavitator attached with a non-symmetric anti-roll fin for strong manoeuvring underwater supercavitating vehicles." Ships and Offshore Structures, February 19, 2021, 1–12. http://dx.doi.org/10.1080/17445302.2021.1878755.

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49

Kaiping, Yu, Zhou Jingjun, Min Jingxin, and Zhang Guang. "A Contribution to Study on the Lift of Ventilated Supercavitating Vehicle With Low Froude Number." Journal of Fluids Engineering 132, no. 11 (2010). http://dx.doi.org/10.1115/1.4002873.

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A ventilated cavity was investigated using three-dimensional numerical simulation and cavitation water tunnel experiments under the condition of low Froude number. A two-fluid multiphase flow model was adopted in numerical predictions. The drag between the different phases and gravitational effect, as well as the compressibility of gas, was considered in the numerical simulations. By comparing the ventilated coefficient computational results of three different turbulence models with the Epshtein formula, the shear-stress-transport turbulence model was finally employed. The phenomenon of double

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50

Lee, Seung-Jae, Ellison Kawakami, and Roger E. A. Arndt. "Investigation of the Behavior of Ventilated Supercavities in a Periodic Gust Flow." Journal of Fluids Engineering 135, no. 8 (2013). http://dx.doi.org/10.1115/1.4024382.

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Abstract:

A ventilated supercavity consists of a large, gas-filled bubble enveloped around an underwater vehicle that allows for significant drag reduction and increases in vehicle speed. Previous studies at the Saint Anthony Falls Laboratory (SAFL) focused on the behavior of ventilated supercavities in steady horizontal flows. In open waters, vehicles can encounter unsteady flows, especially when traveling near the surface, under waves. In supercavitation technology, it is critical that the vehicle remains within the cavity while traveling through water to avoid unwanted planing forces. A study has bee

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