该文提出了由自适应三维网格和固定矩形网格组合的“双网格”方法来模拟非均匀边界条件控制下河道演变的思路。自适应三维网格在平面和立面上分别采用正交网格和σ网格。实现了能够根据自由水面、河岸和床面地形变化作出实时调整的三维自适网格的生成。为了记忆河道演变可能涉及的外围区域的地形、地质和泥沙级配等信息,采用固定不变的矩形网格来存储相关数据。两套网格之间的数据插值转化采用双线性插值方法。“双网格”方法和相应的算法为非均匀边界条件控制下河道演变的数值模拟提供了保证。最后给出了网格生成和应用的3个实例。
A dual grid, consisted of an adaptive 3-D grid and a stationary 2-D rectangular grid, is employed to model the fluvial processes under the control of non-uniform boundary conditions. In the adaptive 3-D grid, an orthogonal grid and a vertical σ grid are used in the horizontal and vertical planes, respectively, and these grids are generated and adjusted according to the continuous variations of the water surface, river channel bank and bed level. In order to record accurately the topography, geology, sediment grading and other related data in the region which the river channel may wander through, a stationary rectangular grid is used. The bi-linear interpolation method is used to transform information between the two types of grid. The dual grid method can provide a useful tool for numerically simulating the fluvial processes with non-uniform boundary conditions. Three examples are given to illustrate the capability of the model.