摘要
基于贴体坐标转换原理,建立了贴体坐标下的河道平面二维非恒定非均匀泥沙数学模型,然后应用ADI法对控制方程进行离散求解.在求解过程中,运用最小能耗率原理来确定河道在冲淤过程中的河宽变化及河岸摆动幅度,弥补了大多数泥沙数学模型只能计算固定河宽下的河床冲淤变化的缺陷.以黄河青铜峡水库为实例,对模型进行了验证计算.计算结果表明,模型能较好地反映库区的水流泥沙运动及河床冲淤变形情况.
A planar 2D mathematical model for nonuniform sediment transport in unsteady flow was established based on the orthogonal body-fitted coordinate transform. The control equations were solved by the ADI technique. The theory of minimum rate of energy dissipation was introduced into this mathematical model in order to ascertain the change direction of river width, which overcomes the defect that most mathematical models can only calculate the factors of flow and sediment under fixed river width. The model was verified by the measured data of the Qingtongxia reservoir on the Yellow River. The results show that the model can better reflect the movement of the reservoir flow and sediment, and deformation of the river erosion and deposition.
出处
《天津大学学报》
EI
CAS
CSCD
北大核心
2008年第8期991-995,共5页
Journal of Tianjin University(Science and Technology)
基金
国家自然科学基金资助项目(50679053)
关键词
平面二维模型
水流泥沙数学模型
贴体坐标变换
有限差分法
最小能耗率原理
planar 2D model
flow and sediment mathematical model
orthogonal body-fitted coordinate transform
finite difference method
the theory of minimum rate Of energy dissipation
