Mesh update algorithm in ale finite method within free surface flow

The arbitrary Lagrange-Euler method affords tracking themotion of free interface in liquid slosh problems through defining the nodalvelocities of reference frame. Based on reviewing the three elementaryalgorithms applied in mesh updating, the method that computational nodes canmove more than one direction is used in special numerical example. Thisachievement demonstrates that the ALE method is available for more complexgeometrical boundaries. The nodal velocities and mesh configurations duringthe sloshing in horizontal cylinder are illustrated at the section ofnuemerical example.