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为了进行复杂地形条件下的水流计算,该文以四边形网格为基础,对任意位置不满足变形控制条件的四边形网格加密为三角形网格来构建全混合的非结构网格,再采用有限体积法对浅水方程进行求解。模型利用混合流算例进行了静水、缓流以及混合流的计算;通过非平底溃坝水流算例对模型稳定性和处理地形干湿变化能力进行了验证,采用三角形网格计算用时为四边形网格的1.81,全混合网格则只有1.12。最后将检验后的模型对松花江哈尔滨主城区河段松浦退堤问题进行了模拟。结果表明:模型能较好模拟复杂地形条件下的水流运动,具有较高的计算效率和复杂边界适应性,可以为实际工程计算提供参考依据。
In order to calculate the water flow under complex terrain conditions, based on the quadrilateral meshes, the quadrilateral meshes, which do not satisfy the requirements of deformation control at any position, are encrypted into a triangular meshes to construct a fully mixed unstructured meshes. Then, a finite volume Law to solve the shallow water equation. The model uses the mixed flow case to calculate the hydrostatic, slow flow and mixed flow. The non-flat-case dam flow model is used to verify the stability of the model and the ability to deal with the variation of the wet and dry terrain. The triangular grid is used to calculate the time- The grid of 1.81, full hybrid grid is only 1.12. Finally, the model was tested to simulate the dredging of Songpu in Songhua River in the main urban area of Harbin. The results show that the model can simulate the water flow under complex terrain well, and has high computational efficiency and complex boundary adaptability, which can provide a reference for practical engineering calculation.