闫圣,邹志利.波浪场中浓度输移扩散 Stokes 漂移效应的欧拉描述[J].海洋通报,2017,36(4):416-423
波浪场中浓度输移扩散 Stokes 漂移效应的欧拉描述
Eulerian description of wave-induced Stokes drift effect on the advective diffusion of tracer concentration
投稿时间:2015-12-17  最后修改时间:2016-03-31
DOI:10.11840/j.issn.1001-6392.2017.04.008
中文关键词:  Stokes 漂移速度  浓度输移扩散  线性波浪  Taylor 离散系数  欧拉法
英文关键词:Stokes drift velocity  concentration advective diffusion equation  linear wave  Taylor dispersion  Eulerian description
基金项目:国家自然科学基金 (11272078;51221961)
作者单位
闫圣 大连理工大学海岸和近海工程国家重点实验室辽宁大连116024 
邹志利 大连理工大学海岸和近海工程国家重点实验室辽宁大连116024 
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中文摘要:
      为了说明波浪场中浓度输移扩散 Stokes 漂移效应的欧拉描述方法,采用欧拉方法推导了波浪场中波浪周期平均的浓度输移扩散方程,其对流项是由波浪速度的波动和物质浓度的波动相互作用而产生,所含的对流速度恰是 Stokes 漂移速度。由此说明,波浪场中浓度扩散问题的 Stokes 漂移效应可以自动的由欧拉法来考虑,所得到的 Stokes 漂移效应与拉格朗日描述的结果是等价的。为了进一步说明这一问题,将粒子追踪法的拉格朗日描述的 Stokes 漂移速度与欧拉法的结果进行了对比,二者是一致的。研究中也数值求解了线性波浪场中 σ 坐标下浓度扩散方程,将浓度的 Stokes 漂移、浓度分布和粒子追踪法的结果进行了对比,以证明欧拉描述和拉格朗日描述两种方法的等价性。研究中也根据实验结果对实际波浪场中 Stokes 漂移效应所引起的浓度漂移进行了讨论,解释了物理模型实验中的观察到的波浪场中浓度漂移现象。
英文摘要:
      The Eulerian description of wave-induced Stokes drift effect on the advective diffusion of tracer concentration is studied showing that this effect can be automatically accounted for in the wave-averaged advection-diffusion equation of concentration in linear wave field, as the advection velocity of the equation is just the Stokes drift velocity. The equivalence of this Eulerian description to the Lagrangian description is verified by comparing the numerical results of vertical distribution of Stokes drift velocity by the particle tracking method with the Eulerian results, with the former one being a Lagrantian type description. The Eulerian description of Stokes drift effect is also illustrated numerically by solving the advection-diffusion equation in σ -coordinates, which shows the drift of concentration driven by Stokes drift. The observed wave -induced concentration drift in the laboratory experiments is also presented to show the drift of concentration in practical wave field.
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