Large-scale amplitude liquid sloshing in container under pitching excitation is numerically studied in this paper.Firstly,the kinematics of the ALE description is introduced and the fluid dynamics equations are revise...Large-scale amplitude liquid sloshing in container under pitching excitation is numerically studied in this paper.Firstly,the kinematics of the ALE description is introduced and the fluid dynamics equations are revised in the ALE form.Secondly,the boundary condition about free-surface tension is represented in the form of weak integration that can be computed by the differential geometry method derived in the present paper and the normal vector on free surface is calculated using accurate formulas presented in this paper.Then the numerical discretized equations of fractional step finite element method are developed by Galerkin weighted residual method.Furthermore,the numerical simulation of large-scale amplitude sloshing of the liquid both in rectangular container and cylindrical container is carried out.The computed time evolution of the wave height,and free surface profiles at different time are obtained.Comparisons among the present numerical results with other published numerical results and experimental data confirm the effectiveness and validity of the method developed in this paper.展开更多
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 pu...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.展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos.10572022,10772022)
文摘Large-scale amplitude liquid sloshing in container under pitching excitation is numerically studied in this paper.Firstly,the kinematics of the ALE description is introduced and the fluid dynamics equations are revised in the ALE form.Secondly,the boundary condition about free-surface tension is represented in the form of weak integration that can be computed by the differential geometry method derived in the present paper and the normal vector on free surface is calculated using accurate formulas presented in this paper.Then the numerical discretized equations of fractional step finite element method are developed by Galerkin weighted residual method.Furthermore,the numerical simulation of large-scale amplitude sloshing of the liquid both in rectangular container and cylindrical container is carried out.The computed time evolution of the wave height,and free surface profiles at different time are obtained.Comparisons among the present numerical results with other published numerical results and experimental data confirm the effectiveness and validity of the method developed in this paper.
基金supported by the National Natural Science Foundation of China(Grant Nos.52131102,51909160 and 51879159)the National Key Research and Development Program of China(Grant No.2019YFB1704200).
文摘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.
