Numerical Simulation Of Tank Sloshing Based On VOF Method

Liquid tank exists widely in liquid cargo ships and liquid fuel powered vehicles,liquid tank sloshing can influence the movement of vehicles and has impact on the structure of liquid tank,so it is necessary to study the tank sloshing and related problems.The two-phase flow problem related to the free surface is a common problem in scientific research and engineering practice,which has important research significance.At the same time,the liquid tank sloshing characteristics are numerically investigated,which has great practical value of engineering applications.The purpose of this paper is to establish a numerical model and program for the two-phase flow,so as to simulate and analyze the two-phase flow problem,such as the liquid tank sloshing.In this paper,a numerical model of immiscible and incompressible two-phase flow is established.The basic governing equations are given,and the discrete process of the governing equations based on the Finite Volume Method is presented.The processing method of each term in the governing equations is given.The discrete scheme of the convective term is studied emphatically,it is evaluated by Normalized Variable Diagram,and the appropriate discrete scheme is selected by comparison.The IDEAL algorithm for velocity-pressure coupling is adopted,and the implementation of IDEAL algorithm is described.The algebraic equation is solved by Bi-CGSTAB method.The VOF method is used to solve the two-phase flow problem,and several different examples are used to analyze the different VOF methods.Six different VOF methods are compared and analyzed in the translation,rotation and shear velocity fields in two-dimensional case.The results show that the PLIC method and the CICSAM method have high precision and high resolution,while the CICSAM method is easier to extend to three dimensions.The CICSAM method is applied to numerical simulation of two-dimensional and three-dimensional problems in this paper.The two-dimensional two-phase flow problems are numerically simulated and compared with the analytical solutions and the experimental data.The simple free liquid sloshing with no excitation and linear liquid sloshing are simulated,and the results are compared with the analytical solutions and experimental data.Then the tank sloshing is numerically simulated and compared with the experimental data.The results show the effectiveness of the method used in this paper.A preliminary study on the sloshing with different height baffles is carried out.The three-dimensional two-phase flow problems are numerically simulated and compared with the analytical solution and the experimental data.The dam-break problem with obstacle is simulated and compared with the experimental data.The numerical simulation of oblique sloshing is carried out and compared with the analytical solution.The numerical results show good agreement with the analytical solutions and the experimental data.Then the violent liquid sloshing with six degree of freedom excitations is simulated and analyzed.To sum up,the numerical results show that the numerical model established in this paper is an effective method to solve the complex two-phase flow problem,the method and program developed in this paper have certain research significance and application value.