摘要
根据湍流封闭理论,建立一种适用于正压浅海湍流运动的雷诺应力封闭模型(RSM),以代替目前三维浅海动力学模型中普遍采用的湍粘性系数的传统假设。通过直接建立并模化f—平面上正压海洋的雷诺应力传输方程,分别得到的微分形式和代数形式的RSM方程组。并讨论了进行数值计算所需要的边界条件。利用该模型可以进一步研究浅海潮流、风暴潮流及风海流等浅海流动的三维结构和湍流特性。
Based on the turbulence modelling theory,a Reynolds stress model (RSM) for the turbulence of barotropic shallow water is established in this paper.This model can replace the traditional hypothesis of eddy viscosity coefficient which is widely used for 3-D shallow water dynamics By establishing and modelling the Reynolds stress differential equations for the barotropic shallow seas on the f-plane,the RSM equations both in differentia] and algebraic forms are obtained.The boundary conditions for numerical calculation are discussed.This model can thoroughly discribe the 3-D current structure and turbulence properties in the shallow water,such as tidal currents,storm surge currents and wind-induced currents.
基金
国家自然科学基金(48970260)
关键词
浅海
正压
湍流
运动
雷诺应力
barotropic shallow water
3-D model
turbulence
Reynolds stress model
