Lagrangian finite element method for the analysis of two‐dimensional sloshing problems

Abstract

Abstract A new version of a numerical algorithm for the Lagrangian treatment of incompressible fluid flows with free surfaces is developed. The novel features of the present method are the adoptions of the Lagrangian finite element method and the velocity correction technique. The use of the velocity correction approach makes the computational scheme extremely simple in algorithmic structure. Hence, the present method is particularly attractive for large‐scale problems. The techniques discussed here are applied to some two‐dimensional sloshing problems, which may indicate the versatility and effectiveness of the present method.