华南理工大学学报(自然科学版) ›› 2020, Vol. 48 ›› Issue (6): 41-49.doi: 10.12141/j.issn.1000-565X.190403

• 交通运输工程 • 上一篇    下一篇

基于两相湍流珊瑚礁地形的波浪数学模型

邹学锋 朱良生 张善举   

  1. 华南理工大学 土木与交通学院,广东 广州 510640
  • 收稿日期:2019-07-01 修回日期:2020-01-13 出版日期:2020-06-25 发布日期:2020-06-01
  • 通信作者: 朱良生(1963-),男,博士,教授,主要从事波浪理论研究。 E-mail:lszhu2000@vip.163.com
  • 作者简介:邹学锋(1990-),男,博士生,主要从事近海水动力研究。E-mail:ctxuefeng_zou@mail.scut.edu.cn
  • 基金资助:
    国家自然科学基金资助项目 (11572130)

Numerical Modeling of Two-Phase Turbulence Closure for Wave Transformation over a Coral Reef

ZOU Xuefeng ZHU Liangsheng ZHANG Shanju   

  1. School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China
  • Received:2019-07-01 Revised:2020-01-13 Online:2020-06-25 Published:2020-06-01
  • Contact: 朱良生(1963-),男,博士,教授,主要从事波浪理论研究。 E-mail:lszhu2000@vip.163.com
  • About author:邹学锋(1990-),男,博士生,主要从事近海水动力研究。E-mail:ctxuefeng_zou@mail.scut.edu.cn
  • Supported by:
    Supported by the National Natural Science Foundation of China (11572130)

摘要: 珊瑚礁地形的波浪非常复杂,礁坪破碎后的波浪对礁体、防波堤等影响很大。为了更好地了解珊瑚礁地形下规则波的传播变形特征,文中基于雷诺平均的纳维埃-斯托克斯方程建立了珊瑚礁地形上的波浪数学模型,其中湍流模型采用两相的 k-ω SST 方程,数值模拟在 OpenFOAM 开源工具中进行。本模型通过文献中的物理实验数据进行验证,分析了珊瑚礁地形上的波高、增水和波面形态变化,并与标准 k-ω SST 模型的结果进行比较,结果表明: 文中模型能有效减轻自由表面附近过度产生的湍流动能,波高和增水的模拟结果相比标准 k-ω SST 模型的更加准确; 波浪在珊瑚礁地形上破碎时破波区的湍流动能主要集中在波峰附近,波谷的湍流动能则很小; 在湍流动能的影响下,模型在破碎点处的波高减小、减水增大,破碎后的波能耗散增大。文中波浪数学模型可应用于珊瑚礁工程设计的波浪计算中。

关键词: 湍流动能, 波浪破碎, 珊瑚礁, OpenFOAM, 纳维埃-斯托克斯方程

Abstract: Wave transmission over a coral reef is very complex,and the wave breaking over the reef flat has signifi-cant impacts on the reefs and the breakwaters. In order to better understand the characteristics of regular waves propagating over the coral reefs,a wave numerical model based on Reynolds-Averaged Navier-Stokes equations was constructed. The turbulence model was designed with two-phase k-ω SST equations. The numerical simulation was carried out in open source library,OpenFOAM. The numerical model was validated with the experiments in the lite-rature. Wave heights,wave setups and surface elevations on the coral reef were analyzed and compared with the results of standard k-ω SST model. The results show that two-phase model can significantly weaken overproduction of turbulence energy near the free surface and provide better predictions of wave height and setup than standard model. Wave breaking in the surf zone causes large turbulence energy at the wave crest while little at the wave trough. Under the effects of turbulence energy,the wave height decreases and the wave setdown increases at the
breaking point,and the energy dissipation increases after the wave breaking. This numerical model can be used for calculating wave breaking in the design of harbor construction.

Key words: turbulence energy, wave breaking, coral reef, OpenFOAM, Navier-Stokes equation

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