In recent years,tuned liquid dampers(TLDs)have emerged as a focal point of research due to their remarkable potential for structural vibration mitigation.Yet,progress in this field remains constrained by an incomplete...In recent years,tuned liquid dampers(TLDs)have emerged as a focal point of research due to their remarkable potential for structural vibration mitigation.Yet,progress in this field remains constrained by an incomplete understanding of the fundamental mechanisms governing sloshing-induced loads in liquid-filled containers.Aqueducts present a distinctive case,as the capacity of their contained water to function effectively as a TLD remains uncertain.To address this gap,the present study investigates the generation mechanisms of sloshing loads under non-resonant cases through a two-dimensional(2D)computational fluid dynamics(CFD)model developed in ANSYS Fluent.The incompressible Reynolds-Averaged Navier–Stokes(RANS)equations are solved,while the Volume of Fluid(VOF)method captures the evolution of the air–water interface.Turbulent flow behavior is modeled using the RNG-approach.The ensuing results reveal the dynamic characteristics of the horizontal force(fℎ)and the fluctuating component of the vertical force(Fof).Fh is predominantly governed by the inertia of the deep-water region and its phase varies coherently with the aqueduct’s acceleration.With increasing excitation amplitude(A)and frequency(f),the contribution of deep-water inertia to𝐹ℎintensifies markedly,accounting for 82.6–92.1%of the total horizontal load at an excitation amplitude of 0.15 m and frequencies of 1.0–1.6 Hz.The extreme values of Fof arise primarily from asymmetric static pressures induced by free-surface fluctuations,which are further amplified when wall gaps appear at large amplitudes(A≥10 cm)and high frequencies(f≥1.4 Hz).Unlike resonant cases dominated by free-surface resonance,non-resonant sloshing loads are principally driven by deep-water inertia and motion-induced surface asymmetry.展开更多
The growing demand for ocean space has generated significant interest in multi-body floating systems,where gap resonance in confined regions plays a critical role in ensuring the safety of offshore operations.This stu...The growing demand for ocean space has generated significant interest in multi-body floating systems,where gap resonance in confined regions plays a critical role in ensuring the safety of offshore operations.This study develops a numerical tank model using the Smoothed Particle Hydrodynamics(SPH)method,implemented through the open-source code DualSPHysics,to investigate hydrodynamic resonance in a twin-floater system and to examine the influence of internal tank sloshing on its hydrodynamic characteristics.The hydrodynamic behavior of the gap flow between a fixed twin-floater system in the numerical tank is validated through systematic comparison with experimental data.Subsequently,the wave-induced motions and forces on a twin-floater system are compared with those on a single floater.Furthermore,the effects of internal tank sloshing on the hydrodynamic response of the twin-floater system are explored.A parametric study is conducted to analyze the influence of incident wave frequency on floater motion and tank sloshing dynamics.The results show that the presence of an internal tank can significantly reduce pitch motion and vertical forces on the floating body,while exerting minimal influence on heave motion and horizontal forces.The findings provide new insights into the hydrodynamic performance of twin-floater systems and their interaction with internal sloshing phenomena.展开更多
In recent years,tuned liquid dampers(TLDs)have attracted significant research interest;however,overall progress has been limited due to insufficient understanding of the mechanisms governing sloshing-induced loads.In ...In recent years,tuned liquid dampers(TLDs)have attracted significant research interest;however,overall progress has been limited due to insufficient understanding of the mechanisms governing sloshing-induced loads.In particular,it remains unclear whether the water in aqueducts—common water-diversion structures in many countries—can serve as an effective TLD.This study investigates the generation mechanisms of sloshing loads during the first-order transverse resonance of water in a U-shaped aqueduct using a two-dimensional(2D)numerical model.The results reveal that,at the equilibrium position,the free surface difference between the left and right walls,the horizontal force on the aqueduct,and the fluctuating component of the vertical force all reach their maxima,with energy predominantly stored as potential energy.At the maximum displacement position,the surface difference and horizontal force drop to zero,while the fluctuating vertical force attains its minimum and energy shifts primarily to kinetic form.At this stage,static pressure is governed solely by the vertical convective acceleration,whereas at equilibrium it is closely linked to both the free surface difference and vertical local acceleration of the water.This dynamic energy exchange generates vertical force oscillations even when the free surface appears nearly symmetric.展开更多
The coupling effect between ship motion and liquid sloshing in a beam sea is investigated,with a focus on the influence of liquid types,namely,water and liquefied natural gas(LNG),on the coupling dynamics.A hybrid num...The coupling effect between ship motion and liquid sloshing in a beam sea is investigated,with a focus on the influence of liquid types,namely,water and liquefied natural gas(LNG),on the coupling dynamics.A hybrid numerical model,combining a potential flow model and computational fluid dynamics methods,is employed to simulate these interactions.Numerical validation is performed using experimental data from water sloshing tests.Comparisons between water and LNG reveal that liquid type has minimal effects on the ship’s roll motion response in a beam sea,provided the total liquid masses are the same.Regarding sloshing impact pressure,although differences between LNG and water results are minor,substituting LNG with water in physical experiments is shown to yield reliable results.展开更多
This paper presents a numerical investigation of nonlinear sloshing in a prismatic tank.A three-dimensional,twophase flow model based on Cartesian grid is developed to simulate the phenomenon.The model solves incompre...This paper presents a numerical investigation of nonlinear sloshing in a prismatic tank.A three-dimensional,twophase flow model based on Cartesian grid is developed to simulate the phenomenon.The model solves incompressible Navier-Stokes equations,utilizing the fractional step method for velocity-pressure decoupling.The finite difference method discretizes spatial derivatives,with specific schemes implemented to enhance model robustness.Model validation involves simulating benchmark cases,and comparing wave profiles and pressure results with published experimental data and numerical findings.The model demonstrates robustness and accuracy in simulating violent sloshing.The validated model examines sloshing in a partially filled prismatic tank under combined surge and roll excitations.The study employs eight frequencies encompassing the natural frequencies of tank roll and surge motions.Roll motion excitation is fixed at 2°,while surge motion considers three excitation amplitudes(0.0 m,0.01 m,and 0.02m).Analysis reveals the effects of surge amplitude and excitation frequency on wave patterns,amplitudes,and pressure peaks.Results indicate the presence of multi-component waves,including transverse,diagonal,and longitudinal waves.Furthermore,the findings demonstrate a reduction in the natural frequency for surge motion through pressure peak analysis.展开更多
Base d on fluid velocity potential, an ALE finite element formulation for the analysi s of nonlinear sloshing problems has been developed. The ALE kinemat ical description is introduced to move the computational mesh...Base d on fluid velocity potential, an ALE finite element formulation for the analysi s of nonlinear sloshing problems has been developed. The ALE kinemat ical description is introduced to move the computational mesh independently of f luid motion, and the container fixed noninertial coordinate system is employed to establish the governing equations so that the mesh is needed to be updated in this coordinate system only. This leads to a very simple mesh moving algorithm which makes it easy to trace the motion of the moving boundaries and the free su rface without producing undesirable distortion of the computational mesh. The fi nite element method and finite difference method are used spacewise and timewise , respectively. A numerical example involving either forced horizontal oscillati on or forced pitching oscillation of the fluid filled container is presented to illustrate the effectiveness and the robustness of the method. In additi on, this work can be extended for the fluid structure interaction problems.展开更多
The analogy between the wave equation of liquid and the Navier equations of structural elasticity is examined in detail. By introducing appropriate parameters, the structural counterpart of the liquid sloshing model c...The analogy between the wave equation of liquid and the Navier equations of structural elasticity is examined in detail. By introducing appropriate parameters, the structural counterpart of the liquid sloshing model can be easily built. Therefore, the dynamic analysis of liquid sloshing can be reduced to that of structural elasticity, and the existing FEM structural analysis computer programs can be applied to liquid sloshing analysis without any modification. The present method also reveals the internal relationship between liquid sloshing and structural vibration. The effectiveness and reliability of the method is illustrated by the numerical example.展开更多
The performance of dual perforated floating plates in a rectangular tank is investigated based on the model tests under different external excitations for different filling rates.It is found that dual perforated float...The performance of dual perforated floating plates in a rectangular tank is investigated based on the model tests under different external excitations for different filling rates.It is found that dual perforated floating plates in the tank can remarkably mitigate violent resonant sloshing responses compared with the clean tank,especially when the external excitation frequency is in the vicinity of the first-order resonant frequency.Next,the parametric studies based on different filling rates and external excitation amplitudes are performed for the first-order resonant frequencies.The presence of dual perforated floating plates seldom shifts the sloshing natural frequencies.Further,dual perforated floating plates change the sloshing modes from the standing-wave mode in the clean tank to the Utube mode,which can arise from the sloshing reduction to some extent.展开更多
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 optimizatio...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.展开更多
A sloshing mitigation concept taking advantage of floating layers of solid foam elements is proposed in the present study. Physical experiments are carried out in a liquid tank to investigate the hydrodynamic mechanis...A sloshing mitigation concept taking advantage of floating layers of solid foam elements is proposed in the present study. Physical experiments are carried out in a liquid tank to investigate the hydrodynamic mechanism of this concept. Effects of the foam-layer thickness, excitation amplitude, and excitation frequency on the sloshing properties are analyzed in detail. It is found that the floating layers of solid foam elements do not evidently affect the fundamental natural sloshing frequency of the liquid tank evidently among the considered cases. At the resonant condition, the maximum wave height and dynamic pressure are greatly reduced as the foam-layer thickness increases. Higher-order pressure components on the tank side gradually vanish with the increase of the foam-layer thickness. Cases with different excitation amplitudes are also analyzed. The phenomenon is observed when the wave breaking in the tank can be suppressed by solid foam elements.展开更多
An approach based on equivalent mechanics theory and computational fluid dynamics （CFD） technology is proposed to estimate dynamical influence of propellant sloshing on the spacecraft. A mechanical model is estab- l...An approach based on equivalent mechanics theory and computational fluid dynamics （CFD） technology is proposed to estimate dynamical influence of propellant sloshing on the spacecraft. A mechanical model is estab- lished by using CFD technique and packed as a ＂sloshing＂ block used in spacecraft guidance navigation and control （GNC） simulation loop. The block takes motion characteristics of the spacecraft as inputs and outputs of pertur- bative force and torques induced by propellant sloshing, thus it is more convenient for analyzing coupling effect between propellant sloshing dynamic and spacecraft GNC than using CFD packages. An example demonstrates the accuracy and the superiority of the approach. Then, the deducing process is applied to practical cases, and simulation results validate that the proposed approach is efficient for identifying the problems induced by sloshing and evaluating effectiveness of several typical designs of sloshing suppression.展开更多
This paper aims at finding a proper way to estimate sloshing severity.First,the concept of sloshing severity RAO(SSR) is introduced,and the wave elevation on the liquid free surface is chosen as an initial index for t...This paper aims at finding a proper way to estimate sloshing severity.First,the concept of sloshing severity RAO(SSR) is introduced,and the wave elevation on the liquid free surface is chosen as an initial index for the rough prediction of sloshing severity.Then,compared with experimental data from a 3 D regular model test,this index is adjusted and a new index is generated.One step further,sloshing severity under irregular sea states can be achieved by nonlinear combinations of the new index.For validation,the same model tank is tested under a set of irregular sea conditions,and peak pressures and impulse areas are taken as comparison standards.It is found that both numerical and experimental results show a similar tendency of sloshing severity.As a real ship application on the new index,the sloshing severity of a liquefied natural gas floating production storage and offloading(LNG-FPSO) is predicted under a low filling condition.Besides,the ship motion responses with and without sloshing effects are considered for the calculation of severity.From the present observation,this proposed methodology and generated new index is expected to be applicable to the selection of severe sea states for sloshing loads analysis.展开更多
A meshless numerical simulation method, the moving-particle semi-implicit method （MPS） is presented in this paper to study the sloshing phenomenon in ocean and naval engineering. As a meshless method, MPS uses parti...A meshless numerical simulation method, the moving-particle semi-implicit method （MPS） is presented in this paper to study the sloshing phenomenon in ocean and naval engineering. As a meshless method, MPS uses particles to replace the mesh in traditional methods, the governing equations are discretized by virtue of the relationship of particles, and the Poisson equation of pressure is solved by incomplete Cholesky conjugate gradient method （ICCG）, the free surface is tracked by the change of numerical density. A numerical experiment of viscous liquid sloshing tank was presented and compared with the result got by the difference method with the VOF, and an additional modification step was added to make the simulation more stable. The results show that the MPS method is suitable for the simulation of viscous liquid sloshing, with the advantage in arranging the particles easily, especially on some complex curved surface.展开更多
A liquid sloshing experimental rig driven by a wave-maker is designed and built to study liquid sloshing problems in a rectangular liquid tank with perforated baffle. A series of experiments are conducted in this expe...A liquid sloshing experimental rig driven by a wave-maker is designed and built to study liquid sloshing problems in a rectangular liquid tank with perforated baffle. A series of experiments are conducted in this experimental rig to estimate the free surface fluctuation and pressure distribution by changing external excitation frequency of the shaking table. An in-house CFD code is also used in this study to simulate the liquid sloshing in three-dimensional （3D） rectangular tank with perforated baffle. Good agreements of free surface elevation and pressure between the numerical results and the experimental data are obtained and presented. Spectral analysis of the time history of free surface elevation is conducted by using the fast Fourier transformation.展开更多
Fluid-structure interaction (FSI) problems caused by fluid impact loads are com- monly existent in naval architectures and ocean engineering fields. For instance, the impact loads due to non-linear fluid motion in a l...Fluid-structure interaction (FSI) problems caused by fluid impact loads are com- monly existent in naval architectures and ocean engineering fields. For instance, the impact loads due to non-linear fluid motion in a liquid sloshing tank potentially affect the structural safety of cargo tanks or vessels. The challenges of numerical study on FSI problems involve not only multidisciplinary features, but also accurate description of non-linear free surface. A fully Lagrangian particle-based method , the moving particle semi-implicit and finite element coupled method ( MPS-FEM), is developed to numerically study the FSI problems. Taking into account the advantage of the Lagrangian method for large deformations of both fluid and solid bounda- ties, the MPS method is used to simulate the fluid field while the finite element method(FEM) to calculate the structure field. Besides, the partitioning strategy is employed to couple the MPS and FEM modules. To validate accuracy of the proposed algorithm, a benchmark case is numer- ically investigated. Both the patterns of free surface and the deflections of the elastic structures are in good agreement with the experimental data. Then, the present FSI solver is applied to the comparative study of the mitigating effects of rigid baffles and elastic baffles on the sloshing motions and impact loads.展开更多
Liquid sloshing is a common phenomenon in the liquid tanks transportation. Liquid waves lead to fluctuating forces on the tank wall. Uncontrolled fluctuations lead to large forces and momentums. Baffles can control th...Liquid sloshing is a common phenomenon in the liquid tanks transportation. Liquid waves lead to fluctuating forces on the tank wall. Uncontrolled fluctuations lead to large forces and momentums. Baffles can control these fluctuations. A numerical method, which has been widely used to model this phenomenon, is Smoothed Particle Hydrodynamics(SPH). The Lagrangian nature of this method makes it suitable for simulating free surface flows. In the present study, an accurate Incompressible Smoothed Particle Hydrodynamics(ISPH) method is developed and improved using the kernel gradient correction tensors, particle shifting algorithms, k–ε turbulence model, and free surface particle detectors. Comparisons with the experimental data approve the ability of the present algorithm for simulating shallow water sloshing. The main aim of this study is to investigate the effects of the vertical baffle on the damping of liquid sloshing. Results show that baffles number has a major role in sloshing fluctuation damping.展开更多
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 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.展开更多
The fluid motion in partially filled tanks with internal baffles has wide engineering applications. The installation of baffles is expected to reduce the effect of sloshing as well as the consequent environmental dama...The fluid motion in partially filled tanks with internal baffles has wide engineering applications. The installation of baffles is expected to reduce the effect of sloshing as well as the consequent environmental damages. In the present study, a series of experimental tests are performed to investigate the sloshing phenomenon in a baffled rectangular storage tank. In addition, the sloshing phenomenon is also modeled by using Open Foam. Based on the experimental and numerical studies, optimization of the geometric parameters of the tank is performed based on some criteria such as tank area, entropy generation, and the horizontal force exerted on the tank area due to the sloshing phenomenon.The optimization is also carried out based on the entropy generation minimization analysis. It is noted that the optimum baffle height is in the range of h_b/h_w=0.5-0.75 in the present study(where h_b and h_w are the baffle height and water depth, respectively). Based on the results, the optimal design of the tank is achieved with R_A= 0.9-1.0(where R_A=L/W, L and W are the length and width of the tank, respectively). The results also show that the increase of h_b can lead to a decrease of the maximum pressure and horizontal force exerted on the tank. It is also noted that the horizontal force exerted on the tank firstly continues to increase as the sway motion amplitude increases.However, as the normalized motion amplitude parameter, a/L(The parameter a is the motion amplitude), exceeds0.067, the effect of motion amplitude on the force is not obvious. The same optimization is also performed in the multiple-variable-baffled tank and prismatic storage tank.展开更多
In this paper, numerical simulations of FPSO ship motion coupled with LNG tank sloshing with low-filling ratios are conducted. The fully coupled problem is addressed with our own unsteady RANS solver: naoe-FOAM-SJTU d...In this paper, numerical simulations of FPSO ship motion coupled with LNG tank sloshing with low-filling ratios are conducted. The fully coupled problem is addressed with our own unsteady RANS solver: naoe-FOAM-SJTU developed based on the open source tool librar- ies of OpenFOAM. The internal tank sloshing and external wave flow are solved simultaneously. The FPSO model includes 2 LNG tanks. For the ship 3-DOFs are released in the regular beam waves. The filling ratios of the 2 tanks are 20% - 20%, lower than the external free surface. This kind of low-filling condition reduces ship roll motion significantly, and produces complex free surface shapes in tanks. 4 different incident wave frequencies are considered in the simulation in comparison with the existing experimental data. The comparison shows that the numerical re- sults are in good agreement with the experimental data, proving the reliability of the proposed method. The filling conditions with large wave amplitudes are studied further, and due to the coupling effect, violent sloshing occurs in tanks and impulsive pressure forms on bulkhead.展开更多
A finite difference model for solving Navier Stokes viscous liquid sloshing-wave interaction with baffles in a tank. equations with turbulence taken into accotmt is used to investigate The volume-of-fluid and virtual ...A finite difference model for solving Navier Stokes viscous liquid sloshing-wave interaction with baffles in a tank. equations with turbulence taken into accotmt is used to investigate The volume-of-fluid and virtual boundary force methods are employed to simulate free surface flow interaction with structures. A liquid sloshing experimental apparatus was established to evaluate the accuracy of the proposed model, as well as to study nonlinear sloshing in a prismatic tank with the baffles. Damping effects of sloshing in a rectangular tank with bottom-mounted vertical baffles and vertical baffles touching the free surface are studied numerically and experimentally. Good agreement is obtained between the present numerical results and experimental data. The numerical results match well with the current experimental data for strong nonlinear sloshing with large free surface slopes. The reduction in sloshing-wave elevation and impact pressure induced by the bottom-mounted vertical baffle and the vertical baffle touching the free surface is estimated by varying the external excitation frequency and the location and height of the vertical baffle under horizontal excitation.展开更多
基金supported by Science and Technology Planning Project of Sichuan Province with Grant No.2023YFS0429supported by Science and Technology Project of China Road and Bridge Corporation with Grant No.P2220447+1 种基金supported by Foundation of Xinjiang Institute of Engineering 2024(Grant No.2024xgy072605)also supported by Sichuan Natural Science Foundation Project(Grant No.2024NSFSC0162).
文摘In recent years,tuned liquid dampers(TLDs)have emerged as a focal point of research due to their remarkable potential for structural vibration mitigation.Yet,progress in this field remains constrained by an incomplete understanding of the fundamental mechanisms governing sloshing-induced loads in liquid-filled containers.Aqueducts present a distinctive case,as the capacity of their contained water to function effectively as a TLD remains uncertain.To address this gap,the present study investigates the generation mechanisms of sloshing loads under non-resonant cases through a two-dimensional(2D)computational fluid dynamics(CFD)model developed in ANSYS Fluent.The incompressible Reynolds-Averaged Navier–Stokes(RANS)equations are solved,while the Volume of Fluid(VOF)method captures the evolution of the air–water interface.Turbulent flow behavior is modeled using the RNG-approach.The ensuing results reveal the dynamic characteristics of the horizontal force(fℎ)and the fluctuating component of the vertical force(Fof).Fh is predominantly governed by the inertia of the deep-water region and its phase varies coherently with the aqueduct’s acceleration.With increasing excitation amplitude(A)and frequency(f),the contribution of deep-water inertia to𝐹ℎintensifies markedly,accounting for 82.6–92.1%of the total horizontal load at an excitation amplitude of 0.15 m and frequencies of 1.0–1.6 Hz.The extreme values of Fof arise primarily from asymmetric static pressures induced by free-surface fluctuations,which are further amplified when wall gaps appear at large amplitudes(A≥10 cm)and high frequencies(f≥1.4 Hz).Unlike resonant cases dominated by free-surface resonance,non-resonant sloshing loads are principally driven by deep-water inertia and motion-induced surface asymmetry.
基金supported by the National Natural Science Foundation of China(Nos.52271316 and 12302314)the Science and Technology Project in Guangzhou(No.2024A04J9886).
文摘The growing demand for ocean space has generated significant interest in multi-body floating systems,where gap resonance in confined regions plays a critical role in ensuring the safety of offshore operations.This study develops a numerical tank model using the Smoothed Particle Hydrodynamics(SPH)method,implemented through the open-source code DualSPHysics,to investigate hydrodynamic resonance in a twin-floater system and to examine the influence of internal tank sloshing on its hydrodynamic characteristics.The hydrodynamic behavior of the gap flow between a fixed twin-floater system in the numerical tank is validated through systematic comparison with experimental data.Subsequently,the wave-induced motions and forces on a twin-floater system are compared with those on a single floater.Furthermore,the effects of internal tank sloshing on the hydrodynamic response of the twin-floater system are explored.A parametric study is conducted to analyze the influence of incident wave frequency on floater motion and tank sloshing dynamics.The results show that the presence of an internal tank can significantly reduce pitch motion and vertical forces on the floating body,while exerting minimal influence on heave motion and horizontal forces.The findings provide new insights into the hydrodynamic performance of twin-floater systems and their interaction with internal sloshing phenomena.
基金Science and Technology Planning Project of Sichuan Province with Grant No.2023YFS0429supported by Science and Technology Project of China Road and Bridge Corporation with Grant No.P2220447+1 种基金supported by Foundation of Xinjiang Institute of Engineering 2024(Grant No.2024xgy072605)supported by Sichuan Natural Science Foundation Project(Grant No.2024NSFSC0162).The numerical calculations in this study have been done on Hefei advanced computing center.
文摘In recent years,tuned liquid dampers(TLDs)have attracted significant research interest;however,overall progress has been limited due to insufficient understanding of the mechanisms governing sloshing-induced loads.In particular,it remains unclear whether the water in aqueducts—common water-diversion structures in many countries—can serve as an effective TLD.This study investigates the generation mechanisms of sloshing loads during the first-order transverse resonance of water in a U-shaped aqueduct using a two-dimensional(2D)numerical model.The results reveal that,at the equilibrium position,the free surface difference between the left and right walls,the horizontal force on the aqueduct,and the fluctuating component of the vertical force all reach their maxima,with energy predominantly stored as potential energy.At the maximum displacement position,the surface difference and horizontal force drop to zero,while the fluctuating vertical force attains its minimum and energy shifts primarily to kinetic form.At this stage,static pressure is governed solely by the vertical convective acceleration,whereas at equilibrium it is closely linked to both the free surface difference and vertical local acceleration of the water.This dynamic energy exchange generates vertical force oscillations even when the free surface appears nearly symmetric.
基金supported by the Natural Science Foundation of China with Grant Nos.52371267 and 52171250。
文摘The coupling effect between ship motion and liquid sloshing in a beam sea is investigated,with a focus on the influence of liquid types,namely,water and liquefied natural gas(LNG),on the coupling dynamics.A hybrid numerical model,combining a potential flow model and computational fluid dynamics methods,is employed to simulate these interactions.Numerical validation is performed using experimental data from water sloshing tests.Comparisons between water and LNG reveal that liquid type has minimal effects on the ship’s roll motion response in a beam sea,provided the total liquid masses are the same.Regarding sloshing impact pressure,although differences between LNG and water results are minor,substituting LNG with water in physical experiments is shown to yield reliable results.
基金financially supported by the Shandong Provincial Natural Science Foundation(Grant No.ZR2023QE063)。
文摘This paper presents a numerical investigation of nonlinear sloshing in a prismatic tank.A three-dimensional,twophase flow model based on Cartesian grid is developed to simulate the phenomenon.The model solves incompressible Navier-Stokes equations,utilizing the fractional step method for velocity-pressure decoupling.The finite difference method discretizes spatial derivatives,with specific schemes implemented to enhance model robustness.Model validation involves simulating benchmark cases,and comparing wave profiles and pressure results with published experimental data and numerical findings.The model demonstrates robustness and accuracy in simulating violent sloshing.The validated model examines sloshing in a partially filled prismatic tank under combined surge and roll excitations.The study employs eight frequencies encompassing the natural frequencies of tank roll and surge motions.Roll motion excitation is fixed at 2°,while surge motion considers three excitation amplitudes(0.0 m,0.01 m,and 0.02m).Analysis reveals the effects of surge amplitude and excitation frequency on wave patterns,amplitudes,and pressure peaks.Results indicate the presence of multi-component waves,including transverse,diagonal,and longitudinal waves.Furthermore,the findings demonstrate a reduction in the natural frequency for surge motion through pressure peak analysis.
文摘Base d on fluid velocity potential, an ALE finite element formulation for the analysi s of nonlinear sloshing problems has been developed. The ALE kinemat ical description is introduced to move the computational mesh independently of f luid motion, and the container fixed noninertial coordinate system is employed to establish the governing equations so that the mesh is needed to be updated in this coordinate system only. This leads to a very simple mesh moving algorithm which makes it easy to trace the motion of the moving boundaries and the free su rface without producing undesirable distortion of the computational mesh. The fi nite element method and finite difference method are used spacewise and timewise , respectively. A numerical example involving either forced horizontal oscillati on or forced pitching oscillation of the fluid filled container is presented to illustrate the effectiveness and the robustness of the method. In additi on, this work can be extended for the fluid structure interaction problems.
文摘The analogy between the wave equation of liquid and the Navier equations of structural elasticity is examined in detail. By introducing appropriate parameters, the structural counterpart of the liquid sloshing model can be easily built. Therefore, the dynamic analysis of liquid sloshing can be reduced to that of structural elasticity, and the existing FEM structural analysis computer programs can be applied to liquid sloshing analysis without any modification. The present method also reveals the internal relationship between liquid sloshing and structural vibration. The effectiveness and reliability of the method is illustrated by the numerical example.
基金This study is financially supported by Hainan Provincial Natural Science Foundation of China(Grant No.519MS026)Scientific Research Foundation of Hainan University(Grant No.KYQD(ZR)1878).
文摘The performance of dual perforated floating plates in a rectangular tank is investigated based on the model tests under different external excitations for different filling rates.It is found that dual perforated floating plates in the tank can remarkably mitigate violent resonant sloshing responses compared with the clean tank,especially when the external excitation frequency is in the vicinity of the first-order resonant frequency.Next,the parametric studies based on different filling rates and external excitation amplitudes are performed for the first-order resonant frequencies.The presence of dual perforated floating plates seldom shifts the sloshing natural frequencies.Further,dual perforated floating plates change the sloshing modes from the standing-wave mode in the clean tank to the Utube mode,which can arise from the sloshing reduction to some extent.
基金Project supported by the National Natural Science Foundation of China(Nos.11572350,11372068,and 11602051)the National Key Basic Research and Development Program of China(No.2014CB744104)
文摘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.
基金financially supported by the National Natural Science Foundation of China(Grant Nos.51709038,51679036 and51739010)the Project funded by China Postdoctoral Science Foundation(Grant No.2018M630289)the Open Foundation of State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering(Grant No.2016490111)
文摘A sloshing mitigation concept taking advantage of floating layers of solid foam elements is proposed in the present study. Physical experiments are carried out in a liquid tank to investigate the hydrodynamic mechanism of this concept. Effects of the foam-layer thickness, excitation amplitude, and excitation frequency on the sloshing properties are analyzed in detail. It is found that the floating layers of solid foam elements do not evidently affect the fundamental natural sloshing frequency of the liquid tank evidently among the considered cases. At the resonant condition, the maximum wave height and dynamic pressure are greatly reduced as the foam-layer thickness increases. Higher-order pressure components on the tank side gradually vanish with the increase of the foam-layer thickness. Cases with different excitation amplitudes are also analyzed. The phenomenon is observed when the wave breaking in the tank can be suppressed by solid foam elements.
基金Innovation Foundation of Aerospace Science and Technology(CASC200902)~~
文摘An approach based on equivalent mechanics theory and computational fluid dynamics （CFD） technology is proposed to estimate dynamical influence of propellant sloshing on the spacecraft. A mechanical model is estab- lished by using CFD technique and packed as a ＂sloshing＂ block used in spacecraft guidance navigation and control （GNC） simulation loop. The block takes motion characteristics of the spacecraft as inputs and outputs of pertur- bative force and torques induced by propellant sloshing, thus it is more convenient for analyzing coupling effect between propellant sloshing dynamic and spacecraft GNC than using CFD packages. An example demonstrates the accuracy and the superiority of the approach. Then, the deducing process is applied to practical cases, and simulation results validate that the proposed approach is efficient for identifying the problems induced by sloshing and evaluating effectiveness of several typical designs of sloshing suppression.
文摘This paper aims at finding a proper way to estimate sloshing severity.First,the concept of sloshing severity RAO(SSR) is introduced,and the wave elevation on the liquid free surface is chosen as an initial index for the rough prediction of sloshing severity.Then,compared with experimental data from a 3 D regular model test,this index is adjusted and a new index is generated.One step further,sloshing severity under irregular sea states can be achieved by nonlinear combinations of the new index.For validation,the same model tank is tested under a set of irregular sea conditions,and peak pressures and impulse areas are taken as comparison standards.It is found that both numerical and experimental results show a similar tendency of sloshing severity.As a real ship application on the new index,the sloshing severity of a liquefied natural gas floating production storage and offloading(LNG-FPSO) is predicted under a low filling condition.Besides,the ship motion responses with and without sloshing effects are considered for the calculation of severity.From the present observation,this proposed methodology and generated new index is expected to be applicable to the selection of severe sea states for sloshing loads analysis.
基金the National Natural Science Foundation under Grant No.50579035
文摘A meshless numerical simulation method, the moving-particle semi-implicit method （MPS） is presented in this paper to study the sloshing phenomenon in ocean and naval engineering. As a meshless method, MPS uses particles to replace the mesh in traditional methods, the governing equations are discretized by virtue of the relationship of particles, and the Poisson equation of pressure is solved by incomplete Cholesky conjugate gradient method （ICCG）, the free surface is tracked by the change of numerical density. A numerical experiment of viscous liquid sloshing tank was presented and compared with the result got by the difference method with the VOF, and an additional modification step was added to make the simulation more stable. The results show that the MPS method is suitable for the simulation of viscous liquid sloshing, with the advantage in arranging the particles easily, especially on some complex curved surface.
基金supported by the China Postdoctoral Science Foundation(Grant No.2012M511192)the National Natural Science Foundation of China(Grant Nos.51209080 and 51061130547+5 种基金Open Fund of State Key Laboratory of Coastaland Off shore Engineering(Grant No.LP1207the Open Fund of State Key Laboratory of Hydraulics and Mountain River Engineering(Grant No.1213)Qing Lan Project and 333 Project of Jiangsu Province(Grant No.BRA2012130)the Fundamental Research Funds for the Central Universities(Hohai University,Grant No.2012B06514the 111 Project(Grant No.B12032)Research Fund for the Doctoral Program of Higher Education of China(Grant No.20120181110084)
文摘A liquid sloshing experimental rig driven by a wave-maker is designed and built to study liquid sloshing problems in a rectangular liquid tank with perforated baffle. A series of experiments are conducted in this experimental rig to estimate the free surface fluctuation and pressure distribution by changing external excitation frequency of the shaking table. An in-house CFD code is also used in this study to simulate the liquid sloshing in three-dimensional （3D） rectangular tank with perforated baffle. Good agreements of free surface elevation and pressure between the numerical results and the experimental data are obtained and presented. Spectral analysis of the time history of free surface elevation is conducted by using the fast Fourier transformation.
文摘Fluid-structure interaction (FSI) problems caused by fluid impact loads are com- monly existent in naval architectures and ocean engineering fields. For instance, the impact loads due to non-linear fluid motion in a liquid sloshing tank potentially affect the structural safety of cargo tanks or vessels. The challenges of numerical study on FSI problems involve not only multidisciplinary features, but also accurate description of non-linear free surface. A fully Lagrangian particle-based method , the moving particle semi-implicit and finite element coupled method ( MPS-FEM), is developed to numerically study the FSI problems. Taking into account the advantage of the Lagrangian method for large deformations of both fluid and solid bounda- ties, the MPS method is used to simulate the fluid field while the finite element method(FEM) to calculate the structure field. Besides, the partitioning strategy is employed to couple the MPS and FEM modules. To validate accuracy of the proposed algorithm, a benchmark case is numer- ically investigated. Both the patterns of free surface and the deflections of the elastic structures are in good agreement with the experimental data. Then, the present FSI solver is applied to the comparative study of the mitigating effects of rigid baffles and elastic baffles on the sloshing motions and impact loads.
文摘Liquid sloshing is a common phenomenon in the liquid tanks transportation. Liquid waves lead to fluctuating forces on the tank wall. Uncontrolled fluctuations lead to large forces and momentums. Baffles can control these fluctuations. A numerical method, which has been widely used to model this phenomenon, is Smoothed Particle Hydrodynamics(SPH). The Lagrangian nature of this method makes it suitable for simulating free surface flows. In the present study, an accurate Incompressible Smoothed Particle Hydrodynamics(ISPH) method is developed and improved using the kernel gradient correction tensors, particle shifting algorithms, k–ε turbulence model, and free surface particle detectors. Comparisons with the experimental data approve the ability of the present algorithm for simulating shallow water sloshing. The main aim of this study is to investigate the effects of the vertical baffle on the damping of liquid sloshing. Results show that baffles number has a major role in sloshing fluctuation damping.
文摘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.
基金inancially supported by the National Natural Science Foundation of China (Grant No. 51761135011)Joint supported by NSFC and Royal Society (Grant No. 52011530183)。
文摘The fluid motion in partially filled tanks with internal baffles has wide engineering applications. The installation of baffles is expected to reduce the effect of sloshing as well as the consequent environmental damages. In the present study, a series of experimental tests are performed to investigate the sloshing phenomenon in a baffled rectangular storage tank. In addition, the sloshing phenomenon is also modeled by using Open Foam. Based on the experimental and numerical studies, optimization of the geometric parameters of the tank is performed based on some criteria such as tank area, entropy generation, and the horizontal force exerted on the tank area due to the sloshing phenomenon.The optimization is also carried out based on the entropy generation minimization analysis. It is noted that the optimum baffle height is in the range of h_b/h_w=0.5-0.75 in the present study(where h_b and h_w are the baffle height and water depth, respectively). Based on the results, the optimal design of the tank is achieved with R_A= 0.9-1.0(where R_A=L/W, L and W are the length and width of the tank, respectively). The results also show that the increase of h_b can lead to a decrease of the maximum pressure and horizontal force exerted on the tank. It is also noted that the horizontal force exerted on the tank firstly continues to increase as the sway motion amplitude increases.However, as the normalized motion amplitude parameter, a/L(The parameter a is the motion amplitude), exceeds0.067, the effect of motion amplitude on the force is not obvious. The same optimization is also performed in the multiple-variable-baffled tank and prismatic storage tank.
文摘In this paper, numerical simulations of FPSO ship motion coupled with LNG tank sloshing with low-filling ratios are conducted. The fully coupled problem is addressed with our own unsteady RANS solver: naoe-FOAM-SJTU developed based on the open source tool librar- ies of OpenFOAM. The internal tank sloshing and external wave flow are solved simultaneously. The FPSO model includes 2 LNG tanks. For the ship 3-DOFs are released in the regular beam waves. The filling ratios of the 2 tanks are 20% - 20%, lower than the external free surface. This kind of low-filling condition reduces ship roll motion significantly, and produces complex free surface shapes in tanks. 4 different incident wave frequencies are considered in the simulation in comparison with the existing experimental data. The comparison shows that the numerical re- sults are in good agreement with the experimental data, proving the reliability of the proposed method. The filling conditions with large wave amplitudes are studied further, and due to the coupling effect, violent sloshing occurs in tanks and impulsive pressure forms on bulkhead.
基金supported by the National Natural Science Foundation of China(Nos.51679079 and 51209080)the Fundamental Research Funds for the Central Universities(No.2014B17314)+3 种基金the Program for Excellent Innovative Talents of Hohai Universitythe Open Fund of State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University(HESS-1703)the Open Fund Program of Key Laboratory of Water & Sediment Science and Water Hazard Prevention,Changsha University of Science & Technology(2015SS03)the 111 Project(B12032)
文摘A finite difference model for solving Navier Stokes viscous liquid sloshing-wave interaction with baffles in a tank. equations with turbulence taken into accotmt is used to investigate The volume-of-fluid and virtual boundary force methods are employed to simulate free surface flow interaction with structures. A liquid sloshing experimental apparatus was established to evaluate the accuracy of the proposed model, as well as to study nonlinear sloshing in a prismatic tank with the baffles. Damping effects of sloshing in a rectangular tank with bottom-mounted vertical baffles and vertical baffles touching the free surface are studied numerically and experimentally. Good agreement is obtained between the present numerical results and experimental data. The numerical results match well with the current experimental data for strong nonlinear sloshing with large free surface slopes. The reduction in sloshing-wave elevation and impact pressure induced by the bottom-mounted vertical baffle and the vertical baffle touching the free surface is estimated by varying the external excitation frequency and the location and height of the vertical baffle under horizontal excitation.
