深水湖泊水库水温数值计算模型研究

本文针对深水湖泊水库三维温度场计算量较大的特点提出了一种计算快捷的湖泊水库三维温度计算模型。该模型根据控制方程中各物理过程的变化特点采用算子分裂法求解，快过程采用隐式求解，慢过程采用显式求解，协调了不同物理过程模拟的时间步长；文中对σ坐标系下的斜压梯度力和水平扩散项的表达式采用z平面均值扣除法进行处理，提高了二者的计算精度，更加适合于湖泊水库的应用。文章最后采用两个算例对模型进行了验证，表明了模型的有效性和实用性。

Study on water temperature simulation model for deep lake and reservoir

A simple and convenient 3-D temperature simulation model is developed to deal with the large amount of CPU time in this paper. The control equations are solved with the arithmetic operator splitting technique according to the characteristic of each physical process. That is, the implicit scheme is used in fast physical processes while the explicit scheme is used in slow physical processes. The baroclinic pressure gradient expression and horizontal diffusion expression in sigma coordinate are treated by the removal of z-plane mean value. At last, the model is applied in two examples cases, which show the model is reliable and efficient.