摘要
建立了基于四叉树网格的二维水流数学模型,网格的生成通过以图像处理基本原理对种子点的循环划分得到,控制方程采用有限体积法对守恒变量进行离散,应用Godunov型通量差分裂格式计算边界上的法向数值通量.并进行了丁坝绕流数值试验,试验表明四叉树网格相对于传统矩形网格,具有良好的分辨率,数组容量经济,易于局部加密,用在复杂流动区域或强剪切流模拟中具有很高的效率,且实测与计算值对比令人满意,可以作为浅水流计算的一种模式.
Based on the quadtree mesh, a numerical model of 2D shallow water equations (SWEs) is established, in which the grids are generated by recursive subdivision of seed points. By use of the finite volume method, conservative variables are discretized by the governing equations, and the normal flux through boundaries is calculated by the Godunovtype flux difference splitting (FDS) scheme. The model is applied to simulation of the flow field in groin experiments, and the calculated values and observed data are in good agreement. The results indicate that the quadtree mesh is high in local resolution, economical in array size, and easy to be densified, and that the mesh is of high efficiency when applied to simulation of complex flow domains and strong shear flows. Therefore, it can be used as a numerical model to predict flow and concentration fields of actual shallow waters.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
北大核心
2002年第6期6-10,共5页
Journal of Hohai University(Natural Sciences)
基金
国家自然科学基金资助项目(50009001)
江苏省自然科学基金资助项目(BK2000004)
