【摘要】 本文在水平流速垂向分布表达式采用二次多项式的基础上,对二维浅水方程组中的动量方程进行修正,建立了风生环流的准三维数学模型.应用破开算子法求解考虑动量修正的深度平均方程,对破开后的两个分步分别采用隐式格式和预估-校正格式离散,得到了准三维数值解.验证计算表明该数值模式能用于模拟河口,水库和港湾内的风生环流,算法的稳定性好,收敛快.更多还原

【Abstract】 With vertical profiles of horizontal components of currernt described by second order polynomials,the momentum equations in the 2-D shallow water equation system are corrected and a quasi-3-D mathematical model of wind- -induced current is established.The operator-splitting technique is used to solve the depth-averaged equations considering momentum correction.The two stages split are discretized with implicit scheme and predictor-corrector scheme,respectively.Thus quasi-3-D numerical solutions are obtaind.Verifi- cation computations show that the present model can be used to solve wind- -induced currents in estuaries,reservoirs and bays,and the algorithm has good stability and a high rate of convergence.更多还原