黄河合理整治宽度研究的理论思考

水流及泥沙输运都遵循通用对流扩散微分方程。现有的研究表明,平面二维对称及非对称突扩层流运动存在多解性,圆柱及方柱绕流也存在多解性。河道沿深平均平面二维水流及泥沙输运微分方程亦应存在多解性。对此类问题理论分析、数值模拟乃至物理模拟都应该在对应的边界条件下及计算长度内进行。该边界条件及计算长度与多解性相适应,和通常的对应于唯一解的情形不同。据此分析可得出不同来水来沙条件下所对应的河道合理整治宽度。这为黄河在此方面的研究从理论上提供了新思路。

Discussion on the theory of research on regulation width of the Yellow River

Both of the water flow and sediment transport follow the general convection-diffusion differential equation.Present research shows that the plane 2D symmetric and non-symmetric sudden expansion laminar flows have multiple solutions and that the flows around cylinder and square cylinder have multiple solutions too.The depth-averaged 2D water flow and sediment transport differential equations also should have multiple solutions.The numerical simulation of the problem of multiple solutions corresponds to the pointed and different boundary conditions which isn't as same as usually.Thereby,the reasonable channel regulation width under the different conditions of incoming water and sediment can be obtained.It gives a new thought in theory for the research on the regulation width of the Yellow River.