基于SPH方法的立面二维涌浪数值模拟

Two-dimension numerical simulation of impulsive waves by SPH method

基于无网格SPH法模拟块体下滑所引起的涌浪流动过程,并将模拟得到的自由表面速度、高度变化结果与解析解以及VOF紊流模型计算结果进行比较。在此基础上,计算滑块下滑速度分别为0.2,0.6,1.0 m/s时的自由面变化。结果表明:滑块下滑引起水槽自由液面变化并形成卷碎波,并有水气混掺现象。自由面孤立波波形、水平速度与解析解以及VOF紊流模型计算结果吻合较好。下滑速度较慢时波形平坦,无卷碎波产生;滑速大时水气完全分离;涌浪形成的波峰峰值随滑块入水速度增大而增加。SPH方法可进一步用于模拟水体中由大型崩岸产生的高速远程滑坡涌浪或复杂的海啸模拟。

The meshless method of smoothed particle hydrodynamics （SPH） was used to simulate impulsive wave generated by a rectangular block falling inside water. The velocity and height change of free surface were contrasted with the analytical solution and V（）F turbulent flow model results. The free surface transition was calculated at slide falling speed of 0.2, 0.6 and 1.0 m/s, respectively. The results show that sliding block results in free surface transformation, scroll wave generation and mixture of liquid with air, The solitary wave profile and horizontal velocity agree well with the analytical solution and VOF results. The wave profile is flat with no scroll waves at slowly sliding speed; the water is separate from the air at high speed. The peak wave crest increases with the increase of the sliding speed. The SPH model can serve as useful model of Large-scale rock avalanches from steep cliffs near substantial bodies of water, or of complex tsunami prediction.