Adaptive Lukovsky’s formulas for the resulting hydrodynamic force and moment owing to sloshing in an upright circular tank

Abstract

Lukovsky’s asymptotic formulas for the resulting hydrodynamic force and moment are derived as if they follow from the adaptive (infinite- dimensional) multimodal theory of the liquid sloshing dynamics in an upright circular base container. The result is given in a tensor form in- troduced in notations of the original paper by Faltinsen, Lukovsky and Timokha (2016).