A numerical nonlinear method of sloshing in tanks with two-dimensional flow

TLDR: In this article, a numerical method for the study of sloshing in tanks with two-dimensional flow is presented, which satisfies the exact nonlinear free-surface conditions, and artificial damping is introduced.

Abstract: A numerical method for the study of sloshing in tanks with two-dimensional flow is presented. The solution satisfies the exact nonlinear free-surface conditions. To avoid difficulties with transients, artificial damping is introduced. Comparison with a linear analytical solution, derived in this publication, shows that the numerical method gives reasonable results. Comparison with an approximate nonlinear analytical method, derived earlier by the author, indicates that the artificial damping leads to difficulties in special cases.