Numerical and experimental study on the nonlinear liquid sloshing in ellipsoidal tanks

IF 2.3 3区工程技术 Q2 MECHANICS Acta Mechanica Pub Date : 2024-06-28 DOI:10.1007/s00707-024-04002-0

Bole Ma, Baozeng Yue, Yu Lu, Bailong Hao

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Abstract

Liquid sloshing within partially filled tanks of large liquid cargo ships has been a major concern in marine engineering. An arbitrary Lagrangian–Eulerian (ALE) finite element (FE) method is proposed to simulate three-dimension large-amplitude liquid sloshing in ellipsoidal tanks, and its effectiveness is verified by experiments. Firstly, a scheme of the fractional step algorithm for solving the Navier–Stokes (NS) equations, combining with the characteristic-based split (CBS), in the ALE framework is constructed. Then a deft and effective mesh moving and update strategy is designed for large-amplitude liquid sloshing in ellipsoidal tanks. Subsequently, computer programming and numerical simulation are carried out and the obtained results show excellent agreements with the experiments. Finally, the nonlinear phenomena for large amplitude liquid sloshing in ellipsoidal tanks under the external excitations are investigated and the multi-modal characteristics of liquid nonlinear sloshing is revealed through a combination of numerical simulations and the ground physical experiment.

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椭圆形水槽中非线性液体荡动的数值和实验研究

大型液货船部分填充舱内的液体荡动一直是海洋工程中的一个主要问题。本文提出了一种任意拉格朗日-欧勒（ALE）有限元（FE）方法来模拟椭球形储罐内的三维大振幅液体荡动，并通过实验验证了该方法的有效性。首先，在 ALE 框架下构建了一个结合基于特征的拆分（CBS）的分步算法方案，用于求解纳维-斯托克斯（NS）方程。然后，针对椭圆形水槽中的大振幅液体荡动，设计了一种灵巧有效的网格移动和更新策略。随后，进行了计算机编程和数值模拟，得到的结果与实验结果非常吻合。最后，通过数值模拟和地面物理实验相结合的方法，研究了外部激励下椭球形水槽中大振幅液体滑动的非线性现象，揭示了液体非线性滑动的多模态特征。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.