Abstract
A numerical model is proposed for analyzing the effects of added mass and damping on the dynamic behaviors of hydrofoils. Strongly coupled fluid-structure interactions (FSIs) of hydrofoils are analyzed by using the 3-D panel method for the fluid and the finite element method for the hydrofoils. The added mass and damping matrices due to the external fluid of the hydrofoil are asymmetric and computational inefficient. The computational inefficiencies associated with these asymmetric matrices are overcome by using a modal reduction technique, in which the first several wet mode vectors of the hydrofoil are employed in the analysis of the FSI problem. The discretized system of equations of motion for the hydrofoil are solved using the Wilson-θ method. The present methods are validated by comparing the computed results with those obtained from the finite element analysis. It is found that the stationary flow is sufficient for determining the wet modes of the hydrofoil under the condition of single-phase potential flow and without phase change. In the case of relatively large inflow velocity, the added damping of the fluid can significantly affect the structural responses of the hydrofoil.
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Seeley C. E., Coutu A., Monette C. et al. Determination of hydrofoil damping due to fluid structure interaction using MFC actuators [C]. 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Boston, Massachusetts, USA, 2013.
Monette C., Nennemann B., Seeley C. et al. Hydrodynamic damping theory in flowing water [C]. 27th IAHR Symposium on Hydraulic Machinery and Systems, Montréal, QC, Canada, 2014.
La Torre O. D., Escaler X., Egusquiza E. et al. Experimental investigation of added mass effects on a hydrofoil under cavitation conditions [J]. Journal of Fluids and Structures, 2013, 39: 173–187.
Kramer M. R., Liu Z., Young Y. L. Free vibration of cantilevered composite plates in air and in water [J], Composite Structures, 2013, 95: 254–263.
Chae E. J., Akcabay D. T., Lelong A. et al. Numerical and experimental investigation of natural flow-induced vibrations of flexible hydrofoils numerical and experimental investigation of natural flow-induced vibrations of flexible hydrofoils [J]. Physics of Fluids, 2016, 28(7): 104–108.
Lelong A., Guiffant P., Andr J. An experimental analysis of the structural response of flexible lightweight hydrofoils in various flow conditions [C]. International symposium on transport phenomena and dynamics of rotating machinery, Honolulu, Hawaii, USA, 2016.
Liaghat T., Guibault F., Allenbach L. et al. Two-way fluid-structure coupling in vibration and damping analysis of an oscillating hydrofoil [C]. ASME 2014 International Mechanical Engineering Congress and Exposition, Montreal, Quebec, Canada, 2017.
Liu X., Zhou L., Escaler X. et al. Numerical simulation of added mass effects on a hydrofoil in cavitating flow using acoustic fluid-structure interaction [J]. Journal of Fluids Engineering, 2017, 139(4): 8.
Cao W., Xu H., Ren H. et al. Numerical study on characteristics of 3D cavitating hydrofoil [C]. International Conference on Energy, Materials and Manufacturing Engineering, Kuala Lumpur, Malaysia, 2015.
Wu Q., Huang B., Wang G. et al. Experimental and numerical investigation of hydroelastic response of a flexible hydrofoil in cavitating flow [J]. International Journal of Multiphase Flow, 2015, 74: 19–33.
Astolfi J. A., Lelong A., Bot P. Experimental analysis of hydroelastic response of flexible hydrofoils [C]. 5th High Performance Yacht Design Conference, Auckland, New Zealand, 2015.
Hu S., Lu C., He Y. Fluid-structure interaction simulation of three-dimensional flexible hydrofoil in water tunnel [J]. Applied Mathematics and Mechanics, 2016, 37: 15–26.
Smith S. M., Venning J. A., Giosio D. R. et al. Cloud cavitation behavior on a hydrofoil due to fluid-structure interaction [J]. Journal of Fluids Engineering, 2019, 141(4): 041105.
Zeng Y. S., Yao Z. F., Zhou P. J. et al. Numerical investigation into the effect of the trailing edge shape on added mass and hydrodynamic damping for a hydrofoil [J]. Journal of Fluids and Structures, 2019, 88: 167–184.
Xie Z., Song P., Hao L. et al. Investigation on effects of fluid-structure-interaction (FSI) on the lubrication performances of water lubricated bearing in primary circuit loop system of nuclear power plant [J]. Annals of Nuclear Energy, 2020, 141: 107355.
Xie Z., Liu H. Experimental research on the interface lubrication regimes transition of water lubricated bearing [J]. Mechanical Systems and Signal Processing, 2020, 136: 106522.
Xie Z., Shen N., Ge J. et al. Analysis of the flow noises of the nuclear main pump caused by the high temperature liquid sodium in the two-circuit main loop liquid sodium pump system [J]. Annals of Nuclear Energy, 2020, 145: 107550.
Qu F., Chen J., Sun D. et al. A new all-speed flux scheme for the Euler equations [J]. Computers and Mathematics with Applications, 2019, 77(4): 1216–1231.
Li J., Rao Z., Su J. et al. A numerical method for predicting the hydroelastic response of marine propellers [J]. Applied Ocean Research, 2018, 74: 188–204.
Morino L., Kuo C. C. Subsonic potential aerodynamic for complex configurations: a general theory [J]. AIAA Journal, 1974, 12(2): 191–197.
Ghassemi H., Kohansal A. R. Numerical evaluation of various levels of singular integrals, arising in BEM and its application in hydrofoil analysis [J]. Applied Mathematics and Computation, 2009, 213(2): 277–289.
Tarafder M. S., Saha G. K., Mehedi S. T. Analysis of potential flow around 3-dimensional hydrofoils by combined source and dipole based panel method [J]. Journal of Marine Science and Technology, 2010, 18(3): 376–384.
Gao X. W. Evaluation of regular and singular domain integrals with boundary-only discretization-theory and Fortran code [J]. Journal of Computational and Applied Mathematics, 2005, 175(2): 265–290.
Hess J. L., Smith A. M. O. Calculation of potential flow about arbitrary bodies [J]. Progress in Aeronautical Sciences, 1967, 8: 1–138.
Hess J. L., Smith A. M. O. Calculation of non-lifting potential flow about arbitrary three-dimensional bodies [J]. The Journal of Ship Research, 1964, 8: 22–44.
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This work was supported by the Scientific Research Foundation from Huazhong University of Science and Technology (Grant No. 2019kfyXJJS005).
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Project supported by the National Natural Science Foundation of China (Grant Nos. 52001130, 11922208 and 51839005).
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Jia-sheng Li (1987-), Male, Ph. D., Assistant Professor, E-mail: lijiasheng@hust.edu.cn
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Li, Js., Qu, Yg. & Hua, Hx. Numerical analysis of added mass and damping of elastic hydrofoils. J Hydrodyn 32, 1009–1023 (2020). https://doi.org/10.1007/s42241-020-0066-5
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DOI: https://doi.org/10.1007/s42241-020-0066-5