Scaled Boundary FEM Solution of 3D Liquid Sloshing in Containers with Complex Axisymmetric Geometry

摘要

The scaled boundary finite-element method (SBFEM) is a novel semianalyticalmethod developed in the elasto-statics and elastodynamicsareas that has the advantages of combining the finite-element methodwith the boundary-element method, and has also unique properties ofits own. The SBFEM method weakens the governing differentialequation in the circumferential direction and solves the weakenedequation analytically in the radial direction, so the simulation precisionof this method is high. A weighted residual approach and coordinatetransformation between scaled and Cartesian coordinate is used toderive the scaled boundary finite element equations for the threedimensionalsloshing problems based on Laplace equation and linearpotential flow theory. The formulation of calculation of potential is alsoobtained. Numerical experiment is carried out and compared withanalytical solution. The results show that the present method yieldsexcellent results, quick convergence and less amount of computationtime. Furthermore, the sloshing of several containers with complexgeometry has also been analyzed.