Numerical Simulation of Topology Optimization Technique for Tank Sloshing Suppression

WEI Zhijun; SHEN Limin; GUAN Hui; SUN Mingjing; WU Chuijie

doi:10.21656/1000-0887.410206

Volume 42 Issue 1

Jan. 2021

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Article Navigation > Applied Mathematics and Mechanics > 2021 > 42(1): 49-57

WEI Zhijun, SHEN Limin, GUAN Hui, SUN Mingjing, WU Chuijie. Numerical Simulation of Topology Optimization Technique for Tank Sloshing Suppression[J]. Applied Mathematics and Mechanics, 2021, 42(1): 49-57. doi: 10.21656/1000-0887.410206

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Numerical Simulation of Topology Optimization Technique for Tank Sloshing Suppression

doi: 10.21656/1000-0887.410206

¹State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China;²College of Meteorology and Oceanography, National University of Defense Technology, Nanjing 211101, P.R.China;³School of Aeronautics and Astronautics, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China（11602051）

Received Date: 2020-07-10
Rev Recd Date: 2020-12-11
Publish Date: 2021-01-01

Abstract

Abstract

The problem of liquid sloshing exists widely in the fields of ships and ocean engineering. When the external excitation frequency is close to the natural frequency of the fluid in the tank, it is easy to produce violent sloshing and great forces, thus causing structural damage. Therefore, it is of great significance to study the effective method to control the impact of liquid sloshing. A numerical program was developed to study the sloshing problem in rectangular tanks with the topology optimization technique. In the numerical program the finite difference method was used to solve the homogeneous and incompressible 3D unsteady Navier-Stokes equations. The free surface was captured with the VOF/PLIC method and a topology optimization program based on the optimal control theory was applied to optimize the shape of baffles in the tank. The sloshing problem with given-shape double baffles and topologically optimized double baffles in the tank was calculated respectively and the kinematics and dynamic characteristics of the flow field with baffles were analyzed. The results show that, the topology optimization of the baffle shape brings better effects of sloshing suppression, which provides a new research idea for the sloshing problems in the fields of ships, ocean engineering and aerospace.
- sloshing,
- topology optimization,
- sloshing suppression,
- baffle

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References(17)

References

[1]	朱仁庆. 液体晃荡及其与结构的相互作用[D]. 博士学位论文. 无锡: 中国船舶科学研究中心, 2002.(ZHU Renqing. Time domain simulation of liquid sloshing and its interaction with flexible structure[D]. PhD Thesis. Wuxi: China Ship Scientific Research Center, 2002.(in Chinese))
[2]	朱仁庆, 马海潇, 缪泉明, 等. LNG船液舱晃荡压强预报[J]. 船舶力学, 2013,17(1/2): 42-48.(ZHU Renqing, MA Haixiao, MIU Quanming, et al. Prediction of pressure induced by liquid sloshing for LNG carrier[J]. Journal of Ship Mechanics,2013,17(1/2): 42-48.(in Chinese))
[3]	宁德志, 宋伟华, 滕斌. 纵摇容器中液体晃荡的非线性数值模拟[J]. 船舶力学, 2017,21(1): 15-22.(NING Dezhi, SONG Weihua, TENG Bin. Nonlinear numerical simulation of liquid sloshing in a container subjected to pitch excitation[J]. Journal of Ship Mechanics,2017,21(1): 15-22.(in Chinese))
[4]	祁江涛, 顾民, 吴乘胜. 液舱晃荡的数值模拟[J]. 船舶力学, 2008,12(4): 574-581.(QI Jiangtao, GU Min, WU Chengsheng. Numerical simulation of sloshing in liquid tank[J]. Journal of Ship Mechanics,2008,12(4): 574-581.(in Chinese))
[5]	卫志军, 张文首, 王安良, 等. 基于SPH方法的二维矩形舱液体晃荡数值研究[J]. 大连理工大学学报, 2014,54(6): 597-603.(WEI Zhijun, ZHANG Wenshou, WANG Anliang, et al. Numerical investigation of liquid sloshing in a 2D rectangular tank based on SPH method[J]. Journal of Dalian University of Technology,2014,54(6): 597-603.(in Chinese))
[6]	于强, 王天舒. 航天器贮箱内液体大幅晃动动力学分析[J]. 中国科学: 物理学力学天文学, 2019,49(2): 127-134.(YU Qiang, WANG Tianshu. Dynamic analysis of large-scale amplitude liquid sloshing in the spacecraft[J]. Scientia Sinica: Physica, Mechanica & Astronomica,2019,49(2): 127-134.(in Chinese))
[7]	FALTINSEN O M, TIMOKHA A N. Sloshing [M]. Cambridge: Cambridge University Press, 2009.
[8]	宁德志, 苏朋, 张崇伟, 等. 三维液舱内浮子式减晃荡结构的水动力特性[J]. 哈尔滨工程大学学报, 2019,〖STHZ〗 40(1): 154-161.(NING Dezhi, SU Peng, ZHANG Chongwei, et al. Hydrodynamic characteristics of an anti-sloshing floating body structure in a 3D tank[J]. Journal of Harbin Engineering University,2019,40(1): 154-161.(in Chinese))
[9]	朱小松, 滕斌, 吕林, 等. 液舱内不同结构形式对晃荡的影响分析[J]. 水道港口, 2011,32(4): 297-304.(ZHU Xiaosong, TENG Bin, L Lin, et al. Analysis on the effect of sloshing in different liquid tank[J]. Journal of Waterway and Harbor,2011,32(4): 297-304.(in Chinese))
[10]	黄志涛, 杨瑜, 邵家儒, 等. 罐车防晃结构SPH模拟研究[J]. 应用数学和力学, 2020,41(7): 760-770.(HUANG Zhitao, YANG Yu, SHAO Jiaru, et al. Numerical simulation of sloshing-mitigating structures in tank trucks with the SPH method[J]. Applied Mathematics and Mechanics,2020,41(7): 760-770.(in Chinese))
[11]	WANG W Y, ZANG Q S, WEI Z J, et al. An isogeometric boundary element method for liquid sloshing in the horizontal eccentric annular tanks with multiple porous baffles[J]. Ocean Engineering,2019,189: 106367.
[12]	张友林, 陈翔, 万德成. 基于MPS-FEM耦合方法对比研究刚性与弹性挡板对液舱晃荡的抑制作用[J]. 应用数学和力学, 2016,37(12): 1359-1377.(ZHANG Youlin, CHEN Xiang, WAN Decheng. An MPS-FEM coupled method for the comparative study of liquid sloshing flows interacting with rigid and elastic baffles[J]. Applied Mathematics and Mechanics,2016,37(12): 1359-1377.(in Chinese))
[13]	XUE M A, LIN P. Numerical study of ring baffle effects on reducing violent liquid sloshing[J]. Computers & Fluids,2011,52: 116-129.
[14]	GUAN H, XUE Y F, WEI Z J, et al. Numerical simulations of sloshing and suppressing sloshing using the optimization technology method[J]. Applied Mathematics and Mechanics(English Edition),2018,39(6): 845-854.
[15]	HIRT C W, NICHOLS B D. Volume of fluid (VOF) method for the dynamics of free boundaries[J]. Journal of Computational Physics,1981,39(1): 201-225.
[16]	KAUFMAN E H, LEEMING D J, TAYLOR G D. An ODE-based approach to nonlinearly constrained minimax problems[J]. Numerical Algorithms,1995,9(1): 25-37.
[17]	WEI Z J, FALTINSEN O M, LUGNI C, et al. Sloshing-induced slamming in screen-equipped rectangular tanks in shallow-water conditions[J]. Physics of Fluids,2015,27(3): 03210.