陡坡上孤立波爬高的数值模拟  

Numerical Simulation of Solitary Wave Run-Up on Steep Slope

作　　者：田文华[1] 董胜[1] 纪巧玲[1] 

机构地区：[1]中国海洋大学工程学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2012年第10期111-115,共5页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(51279186)资助

摘　　要：波浪爬高是海岸工程中重要的水动力学问题之一,其数值模拟方法通常是通过离散Navier-Stokes方程或Boussinesq方程实现的,其中基于光滑粒子流体动力学方法是近年发展起来的。本文应用该方法模拟相同水深下,不同波高的孤立波在45(°)陡坡上的爬高,模拟结果与理论计算结果及已有物理模型试验结果进行了对比,并模拟出孤立波激散破碎过程及粒子分布和速度场的变化过程。结果表明,对密度近似方程进行重新初始化保持了流场内的质量守恒,同时整个计算域内的压力分布更加规则,说明光滑粒子流体动力学法在波浪爬高计算中的有效性。Wave run-up is one of the important hydrodynamics problem in coastal engineering, Discrete Navier-Stokes equation or Boussinesq equation is frequently adopted in the numerical simulation proce-dure. Smoothed particle hydrodynamics method is a new developed approach in recent years. Based on this method, we simulated a wave run-up along 45 （°） steep slope for the solitary wave with different heights in the same water depth. The calculated results were compared with both theoretical and experi- mental values. Furthermore, particle distribution and flow field change process were also simulated in the surging-type breaking process. The numerical results show that re-initializing density approxinate equa-tion keeps the mass conservation of flow and makes the pressure distribution more regular in computation fields. Accordingly, Smoothed particle hydrodynamic method is effective in the calculation of wave run-up.

关 键 词：光滑粒子流体动力学 孤立波 爬高 数值模拟 

分 类 号：P751[交通运输工程—港口、海岸及近海工程]