用光滑粒子流体动力学方法(SPH)对几种不同截面水槽内的流体参数晃动问题进行数值模拟.以二维矩形截面水槽为例,对其一阶正对称参数晃动过程进行分析,验证这一非线性晃动问题特征:包括水体波动特性,频率关系.对U形和圆形截面的前二阶反对称与正对称参数晃动过程进行数值模拟.结果表明:SPH方法可以有效地实现槽内流体在竖向谐振作用下的参数晃动过程.
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.