F. Solaas et Om. Faltinsen, COMBINED NUMERICAL AND ANALYTICAL SOLUTION FOR SLOSHING IN 2-DIMENSIONAL TANKS OF GENERAL SHAPE, Journal of ship research, 41(2), 1997, pp. 118-129
Moiseev's procedure (1958) is used to derive a combined numerical and
analytical method for sloshing in a general two-dimensional tank with
vertical sides at the mean waterline. It is shown that the latter rest
riction follows from conservation of fluid mass. A low-order panel met
hod based on Green's second identity is used as part of the solution.
The method is verified by comparison with the analytical solution by F
altinsen (1974) for a rectangular tank shape. It is demonstrated that
more than 100 elements may be needed to describe the free surface in t
he panel method.