摘要
本文建立了一种广泛适用于大陆架浅海的三维环流模型。模型的支配方程是具有自由面的三维非线性瞬态Navier-Stokes方程。支配方程经σ坐标变换后与边界条件一起在空间交错网格系统上用差分法求解。为提高计算效率,基于问题的物理性质引入过程分裂概念没计了计算框架:将三维流动过程分成长重力波的传播(外模式)和速度的垂向剪变(内模式)两大组成部分,对每个部分分别选用最适宜各自物理特性和数值行为的数值方法求解。最后做为本模型的应用实例,计算了渤海三维潮流,获得了很好的结果。
Present paper intents to provide a three dimensional circulation model which is universally applicable for continental shelf. The governing equations which are the three -dimensional, time 'dependent and free surface, nonlinear Navier -Stokes equations are transformed into α,β,σ, t' coordinate system for increasing the resolution in vertical direction in shallow region and are solved together with their boundary conditions by finite difference technique. A space staggered grid system is employed for computation. For computational effeciency the model makes use of the concept on process -splitting which partition the fluid flow into two parts , and whereby the volume transport and vertical velocity shear are solved separately , The fast moving external gravity waves are treated by semi-implicit scheme (ADI )for advantage of great time -step and computational stability . An implicit scheme in vertical direction with leapfrog difference in time stepping is used to calculate the slow moving internal gravity waves . The finite difference equations can be demonstrated to by of second order accuracy in space and in time . The model has a good computational stability .To illustrate the application of present model to continental shelf sea, the tidal current in the Bohai Sea is computed. A good agreement of the computed results to the observed is achieved.
出处
《计算物理》
CSCD
北大核心
1993年第1期25-36,共12页
Chinese Journal of Computational Physics
关键词
三维环流模型
三维流动
环流
计算
3-D circultaion model, numerical prediction , tidal current
