Abstract
This paper presents a new Arbitrary Lagrangian-Eulerian (ALE) finite element method for the calculation of a large amplitude sloshing wave in a tank with roofs and/or chamfers. For the analytical procedure, a new fractional step method to satisfy the free surface boundary condition has been applied, and the treatment of a free surface flow on the multi-sloped wall boundary has been advanced. Compared to experimental results, this method has proved to be sufficiently accurate to follow the free surface position and to obtain the velocity and pressure distributions. Furthermore, numerical examples show the validity to calculate large amplitude sloshing waves whose configuration of the free surface is double-valued function.
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