【摘要】 通过采用节点间断有限元方法对二维浅水方程进行离散,考虑了科氏力、风应力、底摩阻等作用,最终建立了一套高精度二维水动力模型。模型可采用任意四边形网格计算,并应用节点基函数和无积分数值离散方法,有效地减少了计算量。建立的模型通过理想算例对各源项求解、干湿与和谐性进行了验证。最后将模型应用于三亚市红塘湾实际潮流的模拟中,得到结果与全潮水文观测数据吻合良好。更多还原

【Abstract】 A two-dimensional hydrodynamic model was developed based on the nodal discontinuous Galerkin method. The 2 D shallow water equations were numerically solved in the model with the source terms including Coriolis force, wind stress and bottom friction. The arbitrary quadrilateral meshes were used and a quadrature-free scheme without solving the numerical solution and function value at the integral node, thus effectively reducing the amount of calculation, was adopted. Numerical examples were adopted to verify the ability of the algorithm for description of source terms, wetting and drying and the well-balanced property. Finally, the model was applied to simulate the tide flow of Hongtang bay in Sanya, and the simulation results are in good agreement with the observed data in field.更多还原