基于SPH方法的二维矩形舱液体晃荡数值研究

储液舱内液体晃荡是当外激激励频率与容器内部液体自由液面的固有频率接近时,液体产生的剧烈共振运动.采用光滑粒子流体动力学(SPH)方法,在二维矩形舱低载液率横荡和横摇激励下,自由液面共振频率附近4个激励频率处开展数值研究.对比数值和对应实验中全局自由液面波形和冲击压力时程发现,SPH方法可以很好地模拟液体晃荡时的波形,如水跃、破碎波等自由液面的大变形运动.此外,该方法可用于模拟和评估非共振区域晃荡荷载的特性.建议采用两相流来模拟共振频率下液体剧烈的晃荡运动.

Numerical investigation of liquid sloshing in a 2D rectangular tank based on SPH method

When the forced frequency is close to the natural frequency of the free surface, liquid can cause violent motion in the tank. Based on smoothed particle hydrodynamics (SPH) method, numerical research on the liquid sloshing in a 2D rectangular tank under sway and roll excitations with shallow filling level is carried out at 4 forced frequencies near the resonant frequency of the free surface, respectively. Comparing the global free-surface profiles and the time histories of the slamming pressure for both numerical and experimental studies, it is found that SPH method can simulate the global free-surface scenarios, such as hydraulic jump, breaking wave and so on with large deformation motion. Furthermore, this numerical method can simulate and give a good prediction of the characteristics for the slamming pressure under non-resonant forced frequencies. It is suggested that two-phase simulation should be introduced in SPH method in order to simulate the violent liquid sloshing under resonant frequency.