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China Ocean Engineering 2022年第6期36卷 922-932页

作者： GU Zheng-hua WANG Ting-hui WU Tie-cheng LI Yu-long College of Civil Engineering and Architecture Zhejiang UniversityHangzhou 310058China Technology Centre for Offshore and Marine Singapore(TCOMS)Singapore Southern Marine Science and Engineering Guangdong Laboratory(Zhuhai) Zhuhai 519000China

The density and viscosity ratios on partially liquid-filled sloshing with baffle have been investigated numerically in this study.As the key to success in the present simulation,the Coupled Level Set and the Volume of Fluid(CLSVOF)method and the Immersed Boundary(IB)method are used to capture gas/liquid and fluid/structure interfaces,respectively.Within the CLSVOF method,surface normal in weighting factors is calculated by the level set function,resulting in a more accurate solution.Furthermore,the Tangent of Hyperbola for INterface Capturing(THINC)coupled with the Weighted Linear Interface Calculation(WLIC)scheme is used for capturing moving interface.As a standard practice,we first validate the code by comparing it with experimental results of liquid sloshing,which involves large deformation of interface.In addition to the validation study of the present method,the problems of liquid sloshing with baffle are investigated to understand kinematics and dynamics behaviors under different density and viscosity ratios.

关键词： liquid sloshing CLSVOF immersed boundary interface density ratio

THE EQUIVALENT MECHANICAL MODELS OF liquid sloshing IN A SPHERICAL TANK WITH SPACER UNDER LOW GRAVITY

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Journal of Hydrodynamics 2005年第1期17卷 110-116页

作者： CHENGXu-duo HUMei-zhu WENJi-hua SchoolofFoodScienceandEngineering NanjingUniversityofFinanceandEconomics.Nanjing210003China／／DepartmentofPhysicsAnqingTeachersCollegeAnqing246011China SchoolofFoodScienceandEngineering NanjingUniversityofFinanceandEconomicsNanjing210003China

The dynamics of liquid sloshing in a spherical tank with spacer under low gravity was investigated. By extending the characteristic functions, the frequencies of liquid free sloshing, reaction force and moments on the wall of tank were obtained. By mechanical equivalent principle, the equivalent models of spring vibrator damper of liquid sloshing were given. The numerical results obtained show when a spacer is inserted in the tank, the sloshing frequency of liquid and the sloshing mass of liquid will decrease.

关键词： low gravity liquid sloshing equivalent mechanical models

DYNAMIC CHARACTERISTICS OF liquid sloshing IN A RECTANGULAR TANK UNDER LOW GRAVITY

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Journal of Hydrodynamics 2006年第2期18卷 170-176页

作者： CHENG Xu-duo HU Mei-zhu LIU Zhi-yun School of Food Science and Engineering Nanjing University of Finance and Economics Nanjing 210003 China Department of Physics Anqing Teachers College Anqing 246011 China School of Food Science and Engineering Nanjing University of Finance and Economics Nanjing 210003 China

In this paper, the dynamics of liquid sloshing in a rectangular tank under low gravity was investigated. The basic frequencies and the velocity potentials of sloshing of liquid were obtained by expansion of the Fourier series. The characteristics of force and moment of the liquid acting on a rectangular tank were analyzed. The equivalent mechanical models of spring-vibrator-damper of sloshing of liquid were established with mechanical equivalent principle and numerical results were given. The numerical results show that the equivalent sloshing mass increases with the increase of gravity, and that the basic frequency and the equivalent sloshing mass increase with the increase of the liquid depth.

关键词： low gravity liquid sloshing equivalent mechanical model

Influence of baffle position on liquid sloshing during braking and turning of a tank truck

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2010年第5期11卷 317-324页

作者： Ning KANG Kui LIU School of Transportation Science and Engineering University of A eronautics and Asttvnautics Beijing 100191 China

The influence of baffle position on liquid sloshing during the braking and turning of a tank truck was studied using a volume of fluid (VOF) model. The forces,their positions and weight distribution during braking and the forces and rolling moment during turning were calculated. The reliability of the calculation method was validated by comparisons with experimental results. The results showed that during braking,liquid splashes in the tank and the maximum forces and G (the ratio of weight acting on the front axle to the rear axle) are large when A (the ratio of the arch area above the baffle to the area of cross section)≤0.1. When A≥0.2,as the position of the baffle is lowered,the maximum of Fx (the force in direction x) first decreases then increases,and the maximum of Fy (the force in direction y) and G increase. During turning,liquid splashes in the tank and the maximum forces and M (the rolling moment) are large when D (the ratio of the arch area above the baffle to the area of cross section)≤0.2. When D≥0.3,as the position of the baffle is lowered,the maximums of Fy,Fz (the force in direction z) and M increase.

关键词： Tank truck Volume of fluid (VOF) method liquid sloshing Two phase flow Baffle

Numerical simulations of multi-layer-liquid sloshing by multiphase MPS method

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Journal of Hydrodynamics 2021年第5期33卷 938-949页

作者： Xiao Wen Wei-wen Zhao De-cheng Wan Computational Marine Hydrodynamics Lab(CMHL) School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai 200240China

In this paper,a multiphase moving particle semi-implicit(MPS)method is developed by introduction of various multiphase models into the original MPS method for single-phase flows,and is then applied to the numerical simulations of two-layer-liquid and three-layer-liquid sloshing in a 2-D rectangular tank under different external excitations.To validate the accuracy of the present multiphase MPS method,the qualitative and quantitative results,including wave profiles,interface elevations and impact pressures,are compared with experimental data and other numerical results,which show a good agreement.In particular,the evolutions of free surface and phase interfaces are compared and an obvious discrepancy is found,indicating that the phase interfaces may suffer from complex deformations while the free surface keeps relatively quiet.Moreover,the different modes of phase interface are observed under different excitation frequencies.Then,the violent sloshing of a three-layer-liquid system is simulated and the phenomenon of internal wave breaking is well captured,which mainly benefitted from the Lagrangian basis of MPS method and its advantage in multiphase flows with complex interfaces.Finally,the three-layer-liquid sloshing with a vertical baffle are simulated to investigate the suppressing effect of baffle on multi-layer-liquid sloshing.

关键词： Moving particle semi-implicit(MPS) multiphase flows multi-layer-liquid liquid sloshing

Laboratory investigation of the hydroelastic effect on liquid sloshing in rectangular tanks

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Journal of Hydrodynamics 2014年第5期26卷 751-761页

作者：蒋梅荣任冰王国玉王永学 State Key Laboratory of Coastal and Offshore Engineering Dalian University of Technology

A sloshing experiment is conducted to study the hydroelastic effect in an elastic tank. For this purpose, a translational harmonic excitation is applied to a 2-D rectangular tank model. The lowest-order natural frequencies of the liquid in the tank are determined through the sweep test. The wave elevation and the sloshing pressure are obtained by changing the excitation frequency and the liquid depth. Then the characteristics and the variation of the elevation and the pressure are discussed. The results are compared with the experimental results and the theoretical calculations in a rigid tank. Our analysis indicates that, in the non- resonant cases, the elastic results, the rigid experimental results and the theoretical values are all close to each other. In contrast, under the resonant condition, the elastic experimental result is slightly smaller than the rigid one. Also, the theoretical values are smaller than the experimental results at the resonant frequency.

关键词： liquid sloshing elastic tank wave elevation sloshing pressure

FORCES AND MOMENTS OF THE liquid FINITE AMPLITUDE sloshing IN A liquid-SOLID COUPLED SYSTEM

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Applied Mathematics and Mechanics(English Edition) 2001年第5期22卷 528-540页

作者：苟兴宇李铁寿马兴瑞王本利 Beijing Institute of Control Engineering Beijing 100080 P R China China Aerospace Science and Technology Group Beijing 100830 P R China Harbin Institute of Technology Harbin 150001 P R China

Nonlinear coupling dynamics between a spring-mass system and a finite amplitude sloshing system with liquid in a cylindrical tank is investigated. Based on a group of nonlinear coupling equations of six degrees of freedoms, analytical formulae of forces and moments of the liquid large amplitude sloshing were obtained. Nonlinearity of the forces and moments of the sloshing was induced by integrating on final configuration of liquid sloshing and the nonlinear terms in the liquid pressure formula. The symmetry between the formula of Ox and Oy direction proves that the derivation is correct. According to the coupled mechanism, the formulae are available in other liquid-solid coupled systems. Simulations and corresponding experimental results arecompared. It is shown that the forces and moments formulae by integrating on the final sloshing configuration are more reasonable. The omitted high-dimensional modal bases and high-order nonlinear terms and the complexity of sloshing damping are main sources of errors.

关键词： liquid sloshing force moment liquid-solid coupled system

Coupling Frequency of the liquid sloshing in a Cylindrical Tank with a Flexible Baffle

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Journal of Beijing Institute of Technology 2006年第1期15卷 1-4页

作者：岳宝增 School of Science Beijing Institute of Technology Beijing 100081 China

The coupling oscillation of a liquid in a cylindrical tank with an elastic slosh baffle is investigated. Free surface conditions are considered in the study. The complexity of the coupled boundary-value problem for the liquid and elastic damping spacer results in significant analytical difficulties. Two different velocity potential functions are respectively used in the liquid domain above, or below the damping spacer. A coupled frequency equation is obtained by using the pair of velocity potential functions. The numerical and theoretical analysis show that the natural frequency changes according to the location and stiffness of the spacer. Results indicate that the frequency coupling between damping spacer and sloshing liquid is obvious near the free liquid surface. It is shown that the coupling frequency increases with the increase of damping baffle rigidity.

关键词： liquid sloshing coupled frequency liquid-filled spacecraft

Time-Independent Finite Difference and Ghost Cell Method to Study sloshing liquid in 2D and 3D Tanks with Internal Structures

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Communications in Computational Physics 2013年第3期13卷 780-800页

作者： C.H.Wu O.M.Faltinsen B.F.Chen Department of Marine Environment and Engineering National Sun Yat-Sen UniversityKaohsiung 804Taiwan Certre for Ships and Ocean Structures&Department of Marine Technology NTNUTrondheim 7491Norway

A finite difference scheme with ghost cell technique is used to study viscous fluid sloshing in 2D and 3D tanks with internal structures.The Navier-Stokes equations in a moving coordinate system are derived and they are mapped onto a time-independent and stretched domain.The staggered grid is used and the revised SIMPLEC iteration algorithm is performed.The developed numerical model is rigorously validated by extensive comparisons with reported analytical,numerical and experimental results.The present numerical results were also validated through an experiment setup with a tank excited by an inclined horizontal excitation or a tank mounted by a vertical baffle.The method is then applied to a number of problems including sloshing fluid in a 2D tank with a bottom-mounted baffle and in a 3D tank with a vertical plate.The phenomena of diagonal sloshing waves affected by a vertical plate are investigated in detail in this work.The effects of internal structures on the resonant frequency of a tank with liquid are discussed and the present developed numerical method can successfully analyze the sloshing phenomenon in 2D or 3D tanks with internal structures.

关键词： liquid sloshing baffle plate time-independent finite difference ghost cell

Numerical simulations of sloshing waves in vertically excited square tank by improved MPS method

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Journal of Hydrodynamics 2022年第1期34卷 76-84页

作者： Guan-yu Zhang Wei-wen Zhao De-cheng Wan Computational Marine Hydrodynamics Lab(CMHL) School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai200240China

Faraday wave is a phenomenon of sloshing due to a heave motion of a partially filled tank,which is also called parametric instability or parametric resonance.In the present paper,the phenomenon of faraday wave in a pure heave excited square tank is numerically simulated through the moving particle semi-implicit(MPS)method.The surface tension effect and a new Dirichlet boundary condition for the pressure Poisson equation are considered to avert unphysical fragmentation and clustering of particles in splash simulation.In the numerical simulation,the evolution of wave motion,and the non-linearity together with breaking phenomenon of faraday wave can be observed.The agreement is good in general,both amplitude and phase.Besides,the parameter studies including the excitation frequency and the forcing amplitude are carried out to analyses the mechanism of resonances response.

关键词： liquid sloshing faraday wave moving particle semi-implicit(MPS)method surface tension MLParticle-SJTU solver