Numerical simulation of liquid sloshing using arbitrary Lagrangian-Eulerian level set method

Liquid sloshing in an oscillating tank is simulated numerically as a fluid-structure interaction problem using the arbitrary Lagrangian-Eulerian and the level set coupled method, in which the computational grid points are moved with the velocity of the tank. It is shown by comparing the simulation results with the existing experimental results that the sloshing behavior of the free surface is predicted well by the present method. The simulation results are also compared with the case using the body force, in which the body force term is included in the fluid equations and the grid points are not moved. The difference between the moving grid method and the body force method is made clear both theoretically and numerically, and the limitation of the body force method is discussed.