A BOUNDARY ELEMENT METHOD FOR SMALL-AMPLITUDE VISCOUS FLUID SLOSHING IN COUPLE WITH STRUCTURAL VIBRATION

A boundary element method is presented for the coupled motionanalysis of structural vibration with small-amplitude fluid sloshingin two-dimensional space. The linearized Navier-Stokes equations areconsidered in frequency domain and transformed into boundary integralequations. An appropriate fundamental solution for the Helmholtzequation with pure imaginary constant is found. The condition ofzero-stress is imposed on the free surface, and non-slip condition offluid particles is Imposed on the walls of the container. For rigidmotion models, the expressions for added mass and Added damping tothe structural motion equations are obtained. Some typical numericalexamples are Presented.

A SPH simulation on large-amplitude sloshing for fluids in a two-dimensional tank

Smoothed particle hydrodynamics（SPH） is a mesh-free adaptive Lagrangian particle method with attractive features for dealing with the free surface flow.This paper applies the SPH method to simulate the large-amplitude lateral sloshing both with and without a floating body,and the vertical parametrically-excited sloshing in a two-dimensional tank.The numerical results show that the SPH approach has an obvious advantage over conventional mesh-based methods in handling nonlinear sloshing problems such as violent fluid-solid interaction,and flow separation and wave-breaking on the free fluid surface.The SPH method provides a new alternative and an effective way to solve these special strong nonlinear sloshing problems.

Motion stability dynamics for spacecraft coupled with partially filled liquid container

This paper presents a canonical Hamiltonian model of liquid sloshing for the container coupled with spacecraft. Elliptical shape of rigid body is considered as spacecraft structure. Hamiltonian system is an important form of mechanical system. It mostly used to stabilize the potential shaping of dynamical system. Free surface movement of liquid inside the container is called sloshing. If there is uncontrolled resonance between the motion of tank and liquid-frequency inside the tank then such sloshing can be a reason of attitude disturbance or structural damage of spacecraft. Equivalent mechanical model of simple pendulum or mass attached with spring for sloshing is used by many researchers. Mass attached with spring is used as an equivalent model of sloshing to derive the mathematical equations in terms of Hamiltonian model. Analytical method of Lyapunov function with Casimir energy function is used to find the stability for spacecraft dynamics. Vertical axial rotation is taken as the major axial steady rotation for the moving rigid body.

A review on liquid sloshing hydrodynamics

Liquid sloshing in tanks is a very complex nonlinear free surface fluid flow problem,which must be considered in most of the marine engineering problems such as naval architecture,offshore engineering and so on.Violent liquid sloshing in large containers can damage the tank structure due to the direct liquid impacting action.Sloshing also affects the capsizing process of the liquid cargo ship.Some works on mitigating sloshing by using all kinds of the baffles were thus followed with interests.Oil layers with thinner thickness were shown to reduce the sloshing load of water in tanks.The sloshing characteristics in tanks with different sizes were different,therefore,scaling effect of sloshing should also be considered.Sloshing in a tank can also be used as tuned liquid dampers(TLDs)to dampen wind,wave and flow-induced motions of floating or fixed marine platforms.This paper present an overview on recent advances of liquid sloshing hydrodynamics including sloshing mitigation by using anti-sloshing baffle,layered fluids sloshing,scaling effect of sloshing and TLDs.