Abstract: Smoothed particle hydrodynamics (SPH) is applied to simulate parametric sloshing in various shape aqueducts. Taking rectangular tank as an example, the first symmetric mode of sloshing were investigated, including free surface elevations and frequency relationship, which confirm characteristic of nonlinear parametric sloshing. And the first two anti-symmetric and symmetric mode of parametric sloshing for U-shaped and circular aqueducts were also studied and presented in detail. These results confirm validity of SPH method for simulations of parametrically excited sloshing motion.

Key words: parametric sloshing, smoothed particle hydrodynamics, various shape aqueducts, numerical simulation