【摘要】 考虑涡流粘性,底部摩擦,Coriolis力和重力作用,以单层模型的竖直向积分建立二维流动的环流控制方程。用Galerkin加权余量法建立环流边值问题的弱形式。用有限元法和分裂时间法分别离散空间和时间进行数值近似计算。采用线性内插的“人工光滑”处理以消除短波长噪音干扰,而避免已有的大阻尼系数方法等缺陷。为节省计算内存容量,程序中建立稀疏矩阵的一维紧凑存贮格式,排除了全部“零”元素的容量要求。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, bottom friction and eddy viscosity, are integrated vertically. Using Galerkin weighted residual method, the weak variational formulation is derived for the finite element analysis. The split-time method is applied for the numerical integration instead of iteration for nonlinear terms. Moreover, an artificial smooth approach is proposed to suppress the the short wavelength noise.In order to save computer storage units, a dense storage scheme is formed, where all the zero elements in large scaled and sparce matrices are excluded.更多还原