An adaptive multimodal approach to nonlinear sloshing in a rectangular tank (Q2718408)

The irrotational two-dimensional motion of incompressible fluid with is studied in a rectangular tank in the case of infinite tank roof height and in the absence of overturning waves. Under sinusoidal external excitation, the author analyse surge-excited resonant sloshing, pitch-excited resonant sloshing, and sloshing in a tank with different fluid depths. The theoretical study is based on a variational method applied to the corresponding free-surface boundary problem, which reduces to an infinite-dimensional system of ordinary differential equations with fifth-order polynomial nonlinearity. Finally, the theoretical results are verified in many experiments described in the paper.