Simulation of near-shore solitary wave mechanics by an incompressible SPH method
Simulation of near-shore solitary wave mechanics by an incompressible SPH method
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DOI：
10.1016/s0141-1187(03)00002-6
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发表时间：
2002-10-01
影响因子：
4.3
通讯作者：
Shao, SD
中科院分区：
文献类型：
--
作者：
Lo, EYM;Shao, SD
采用不可压缩光滑粒子流体力学（SPH）方法和大涡模拟（LES）方法对近岸孤立波力学进行了模拟。用两步分数法求解了拉格朗日形式的不可压缩Navier-Stokes方程。该方法首先在不强制不可压缩的情况下对速度场进行时间积分。由此产生的粒子密度偏差通过压力泊松方程投影到无散度空间以满足不可压缩性。采用SPH公式对相关梯度算子和散度算子进行离散化。LES方法的空间滤波产生亚粒子尺度的应力，用Smagorinsky模型处理。处理了单波撞击垂直壁面和沿平面斜坡向上运动的情况。波浪剖面与报道的实验数据或解析解很好地吻合。研究发现，除波浪破碎的最后阶段外，静水压力的假设几乎在任何地方都成立。动态黏度在断裂锋附近也最大。2003爱思唯尔科学有限公司版权所有。
An incompressible smoothed particle hydrodynamics (SPH) method together with a large eddy simulation (LES) approach is used to simulate the near-shore solitary wave mechanics. The incompressible Navier-Stokes equations in Lagrangian form are solved using a two-step fractional method. This method first integrates the velocity field in time without enforcing incompressibility. The resulting deviation in particle density is projected onto a divergence-free space to satisfy incompressibility through a pressure Poisson equation. SPH formulations are employed for discretization of relevant gradient and divergence operators. The spatial filtering of the LES approach produces sub-particle scale stresses, which are treated by the Smagorinsky model. The cases of a solitary wave against a vertical wall and running up a plane slope are treated. The wave profiles are,in good agreement with reported experimental data or analytical solutions. It is found that the assumption of hydrostatic pressure holds almost everywhere except during the last stages of wave breaking. The dynamic viscosity is also found to be a maximum near the breaking front. (C) 2003 Elsevier Science Ltd. All rights reserved.