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REN Chunping,LIANG Rongrong,YU Chong,BAI Yuchuan. 2019. A numerical model with Stokes drift for pollutant transport within the surf zone on a plane beach. Acta Oceanologica Sinica, 38(9):102-112
A numerical model with Stokes drift for pollutant transport within the surf zone on a plane beach
平直斜坡上破波带内质量输移流对污染物输移影响的数值研究
Received:May 01, 2018??
DOI:10.1007/s13131-019-1478-9
Key words:nearshore current model??Stokes drift??advection diffusion??dye release??surf zone
中文关键词:??近岸流模型??质量输移流??对流扩散??污染物??破波带
基金项目:The Open Foundation of the State Key Laboratory of Hydraulic Engineering Simulation and Safety under contract No. HESS-1406; the National Science Foundation for Post-doctoral Scientists of China under contract No. 2013M541179; the Foundation of Taiyuan University of Technology under contract No. 2017MS07.
Author NameAffiliationE-mail
REN Chunping?College of Water Resource Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China
State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China?
chunpingren@163.com?
LIANG Rongrong?College of Water Resource Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China??
YU Chong?College of Water Resource Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China??
BAI Yuchuan?State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China??
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Abstract:
??????This study examines the effects of Stokes drift on pollutant transport within the surf zone on a plane beach both numerically and experimentally. Firstly, the numerical model is described. The wave-induced current is modeled using the concept of the radiation stress. The wave propagation model is based on the wave energy conservation equation. And the advective diffusion model including the Stokes drift is used to describe the pollutant transport in the surf zone. Model validation was achieved in this case versus an analytical solution for an instantaneous point source in a uniform horizontal flow. This study also describes a laboratory experiment on dye release in the surf zone over a plane beach. We examined the final inclination angle required by a continuously released pollutant plume to reach the shoreline under both cases, and transport velocities in the alongshore and cross-shore directions were estimated by linearly fitting the location of a dye-patch front at different time. Results show that this dye patch moved shoreward with an approximate speed of 0.05 m/s (0.017 m/s) between 10 s and 40 s and 0.001 m/s (0.011 m/s) after 40 s for Case 1 (2). This model was then used to simulate pollutant transport in the surf zone on a plane beach as reproduced in the current experiment. Comparisons between our dye transport experiment and numerical results were then also conducted; the data showed that the numerical results including Stokes drift agreed more closely with experimental results than those without it. The data showed that the pollutant was generally transported obviously shoreward in addition to its expected drift along the shore. We also suggest that Stokes drift plays an important role in pollutant movement in the surf zone, especially shoreward.
中文摘要:
??????破波带内外都有质量输移流存在,其对破波带内污染物输移有怎样的影响,需要进一步深入研究。本文基于实验以及考虑质量输移流的对流扩散数学模型研究了平直斜坡上破波带内质量输移流对污染物输移影响。数学模型包括波浪模型、近岸流模型以及对流扩散模型。首先建立了破波带内污染物输移数学模型,其中波浪场基于波能守恒方程来计算,波导流场基于Longuet-Higgins提出的辐射应力模拟,污染物对流扩散方程中考虑了质量输移流的影响,并利用算例验证该数学模型。其次简要介绍了平直斜坡上破波带内污染物输移实验,并分析了污染物输移特性。连续投放污染物会形成污染带,本文分析了两种波况下不同时刻污染带与岸线夹角的变化,以及污染物在垂直岸线和沿岸线方向的输移速度,结果表明对两种波况来说在初始10-40s污染团向岸线方向输移速度分别约为0.05m/s、0.017m/s,之后速度分别减小为0.001m/s、0.011m/s。数值模拟结果与实验结果比较表明:考虑质量输移流的模拟结果与实验更为吻合。因而,通过实验以及数模研究表明破波带内质量输移流对破波带内污染物在垂直岸线方向的输移有重要影响,而对沿岸方向的输移则影响较小。
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