Three Dimensional Baroclinic Numerical Model for Simulating Fresh and Salt Water Mixing in the Yangtze Estuary

For simulating fresh and salt water mixing in estuaries, a three dimensional nonlinear baroclinic numerical model is developed, in which the gradients of horizontal pressure contain die gradient of barotropic pressure arising from the gradient of tidal level and the gradient of baroclinic pressure due to the gradient of salinity. The Eulerian-Lagrangian method is employed to descretize both the momentum equations of tidal motion and the equation of salt water diffusion so as to improve the computational stability and accuracy. The methods to provide the boundary conditions and the initial conditions are proposed, and the criterion for computational stability of the salinity fields is presented. The present model is used for modeling fresh and salt water mixing in the Yangtze Estuary. Computations show that the salinity distribution has the characteristics of partial mixing pattern, and that the present model is suitable for simulation of fresh and salt water mixing in the Yangtze Estuary.

长江河口盐淡水混合的数值模拟计算

建立了河口三维非线性斜压潮流盐度数学模型，数学模型中的水平压强梯度分为水位梯度的正压项和密度变化的斜压项，以反映河口盐淡水混合中的斜压现象。采用欧拉—拉格朗日法离散潮流运动方程中的对流项和盐度扩散方程，以提高计算稳定性和数值模拟精度。提出盐度边界条件、初始条件以及盐度场计算稳定标准的设置方法。针对长江河口水域的盐淡水混合情况进行模拟计算，结果反映了部分混合型河口盐度分布特征，表明所建立的河口三维非线性斜压潮流盐度数学模型能够较好地模拟长江河口盐淡水混合的时空分布。