Abstract
Sloshing is a common phenomenon in nature and industry, and it is important in many fields, such as marine engineering and aerospace engineering. To reduce the sloshing load on the side walls, the topology optimization and optimal control methods are used to design the shape of the board, which is fixed in the middle of the tank. The results show that the new board shape, which is designed via topology optimization, can significantly reduce the sloshing load on the side wall.
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Yin, L. Z., Wang, B. L., and Zou, J. X. Introduction to investigation of liquid sloshing and liquid-solid coupled dynamics of spacecraft (i. Chinese). Journal of Harbin Institute of Technology, 4, 118–122 (1999)
Lugni, C., Miozzi, M., and Faltinsen, O. M. Evolution of the air cavity during a depressurized wave impact, II, the dynamic field. Physics of Fluids, 22, 056101 (2010)
Zhu, R. Q. Liquid Sloshing and Its Interaction with Structures (in Chinese), Ph. D. dissertation, China Ship Scientific Research Center (2001)
Liu, F. Dynamic Analysis of Liquid Sloshing and Sloshing Suppression Design for a Tank (in Chinese), Ph. D. dissertation, Nanjing University of Aeronautics & Astronautics (2010)
Zhu, R., Wu, Y., and Atilla, I. Numerical simulation of liquid sloshing. Ship Building of China, 45, 14–27 (2004)
He, Y. J., Ma, X. R., and Wang, B. L. Stable response of low-gravity liquid non-linear sloshing in a circle cylindrical tank. Applied Mathematics and Mechanics (English Edition), 28(10), 1273–1285 (2007) https://doi.org/10.1007/s10483-007-1001-z
Luo, Z. Q. and Chen, Z. M. Sloshing simulation of standing wave with time-independent finite difference method fo. Euler equations. Applied Mathematics and Mechanics (English Edition), 32(11), 1475–1488 (2011) https://doi.org/10.1007/s10483-011-1515-x
Zhong, S. and Chen, Y. S. Bifurcation of elastic tank-liquid coupled sloshing sys-tem. Applied Mathematics and Mechanics (English Edition), 32(9), 1169–1176 (2011) https://doi.org/10.1007/s10483-011-1490-x
Shen, M. The Analysis and Application of Liquid Sloshing in the Prismatic Tank Based on the Improved VOF Method (in Chinese), Ph. D. dissertation, Shanghai Jiao Tong University (2008)
Hirt, C. W. and Nichols, B. D. Volume-of-fluid (VOF) method for the dynamics of free boundaries. Journal o. Computational Physics, 39, 201–225 (1981)
Hirt, C. W. and Nichols, B. D. Sola-VOF: A Solution Algorithm for Transient Fluid Flow with Multiple Free Boundary, Los Alamos Scientific Laboratory, California (1980)
Wan, S. Investigation of the effect of the ring baffle on the liquid slosh suppression (in. Chinese). Journal of Nanjing University of Aeronautics and Astronautics, 4, 470–475 (1996)
Kaufman, E. K., Leeming, D. J., and Taylor, G. D. An ODE-based approach to nonlinearly constrained minimax problems. Numerical Algorithms, 9, 25–37 (1995)
Xin, Z. Q. and Wu, C. J. Shape optimization of the caudal fin of the three-dimensional self-propelled swimming fish. Science China (Physics, Mechanics and Astronomy), 2, 328–339 (2013)
Wang, L. Application of Optimal Control Methods in Fluid Mechanics (in Chinese), Ph. D. dis-sertation, PLA University of Science and Technology (2003)
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Project supported by the National Natural Science Foundation of China (Nos. 11572350, 11372068, and 11602051) and the National Key Basic Research and Development Program of China (No. 2014CB744104)
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Guan, H., Xue, Y., Wei, Z. et al. Numerical simulations of sloshing and suppressing sloshing using the optimization technology method. Appl. Math. Mech.-Engl. Ed. 39, 845–854 (2018). https://doi.org/10.1007/s10483-018-2332-9
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DOI: https://doi.org/10.1007/s10483-018-2332-9