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陡坡上孤立波爬高的数值模拟
引用本文:田文华,董胜,纪巧玲.陡坡上孤立波爬高的数值模拟[J].中国海洋大学学报(自然科学版),2012(10):111-115.
作者姓名:田文华  董胜  纪巧玲
作者单位:中国海洋大学工程学院
基金项目: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。

关 键 词:光滑粒子流体动力学  孤立波  爬高  数值模拟

Numerical Simulation of Solitary Wave Run-Up on Steep Slope
TIAN Wen-Hua,DONG Sheng,JI Qiao-Ling.Numerical Simulation of Solitary Wave Run-Up on Steep Slope[J].Periodical of Ocean University of China,2012(10):111-115.
Authors:TIAN Wen-Hua  DONG Sheng  JI Qiao-Ling
Institution:(College of Engineering,Ocean University of China,Qingdao 266100,China)
Abstract: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 procedure.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 experimental 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 equation 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.
Keywords:smoothed particle hydrodynamics method  solitary wave  run-up  numerical simulation
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