摘要
通过Poisson方程迭代求解压力场的SPH方法,建立了模拟水波动力学问题的数值模型,将亚格子湍流模式加入方程中,更加精确地描述了波浪破碎时的湍流特性。针对SPH方法中粒子靠近边界处由于粒子缺失导致核函数的截断而引起计算误差,将核函数梯度修正引入了数值计算模型中。同时提出一种新的边界压力计算方法,改善了边界压力计算的精度。对孤立波及椭余波在斜坡上的爬坡破碎过程进行了数值模拟,数值结果与实验结果吻合较好。表明该方法在对复杂水波动力问题的数值模拟上是行之有效的。
This paper presents a numerical wave model based on enhanced smoothed particle hydrodynamics method with pressure solver through Poisson equation.In order to describe the turbulence characteristics of wave breaking accurately,the sub-particle scaling is added to the model.Particles near boundaries have a kernel smoothing functions truncated due to the absence of neighboring particles,thus the kernel gradient correction is added to the model.A new estimation method is also presented for predicting the pressure on the boundary,which improves the accuracy of the simulation pressure.The accuracy and capability of the PSPH method is verified by simulating the solitary wave and cnoidal wave breaking on slope.The numerical results agree with the experimental data.The simulating results show that the present PSPH method is applicable for solving complex free surface problem.
出处
《水运工程》
北大核心
2011年第2期1-6,共6页
Port & Waterway Engineering
