Abstract
The Hamiltonian particle method for incompressible fluid flows has been developed by authors and proved to have excellent properties in conservation of mechanical energy as well as linear and angular momenta. In this study, standing waves in a rectangular tank are simulated using this method. The result is compared to analytical solutions which are obtained from the Stokes perturbation expansion. Agreement between the numerical and the analytical solutions is fairly good at least in the initial two or three cycles. The numerical result is also compared to the one obtained using the moving-particle semi-implicit (MPS) method. The supremacy of the Hamiltonian particle method compared to the MPS method is confirmed.
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