【摘要】 本文以垂直方向积分平均的二维连续方程和运动方程为基础，考虑了Ｃｏｒｉｏｌｉｓ效应、底部摩擦和涡动粘性、应用伽勒金加权余量法建立问题的弱描述，用有限元法进行空间离散，用分裂时间法作数值积分以取代解非线性方程常用的叠代法。而且，采用“人工光滑”处理以消除短波长噪音干扰。更多还原

【Abstract】 This paper presents a finite element method to solve the shallow water circulation problem numerically. The continuity equation and momentum equation, considering the coriolis effect, bcttom friction and eddy viscosity, are integrated vertically. Using Galerkin weighted residual method, the weak yariational formulation is derived for the finite element analysis. The split-time method is applied for the nume- rical integration instead of iteration for nonlinear terms. Moreoyer, an arti- ficial smooth approach is proposed to suppress the short wavelength noise. In order to save computer storage units, a dense store scheme is formed, where all the"zero" elements in large scaled and sparce matrices are excluded.更多还原