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 restriction follows from conservation of fluid mass. A low-order panel method based on Green's second identity is used as part of the solution. The method is verified by comparison with the analytical solution by Faltinsen (1974) for a rectangular tank shape. It is demonstrated that more than 100 elements may be needed to describe the free surface in the panel method.
Combined Numerical and Analytical Solution for Sloshing in Two-Dimensional Tanks of General Shape
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Solaas, Fr?ydis, and Odd M. Faltinsen. "Combined Numerical and Analytical Solution for Sloshing in Two-Dimensional Tanks of General Shape." J Ship Res 41 (1997): 118–129. doi: https://doi.org/10.5957/jsr.1918.104.22.168
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