正交曲线坐标下一种有效的弯道河流数值模型  

An efficient numerical model for meandering rivers in the orthogonal curvilinear coordinates

作　　者：黄新丽[1] 周晓阳[1] 程攀[1] 

机构地区：[1]华中科技大学数学系,武汉430074

出　　处：《水动力学研究与进展（A辑）》2007年第3期286-292,共7页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金(70271069)

摘　　要：选取跟踪河道中心线走向的正交曲线坐标系,提出此坐标下的BGK Boltzmann方程,由明渠水流中微、宏观变量之间的基本关系建立了一种有效的弯道河流数值模型。通过对弯道水槽试验进行数值模拟,结果表明模型有较好的模拟弯道水流的能力。BGK Boltzmann equation based on orthogonal curvilinear coordinates following the alignment of the river is deduced. Using basic relationships between the detailed velocity distribution and macroscopic variables sets up an efficient numerical model for meandering rivers. Applying this model, a numerical simulation of a model test of bend-flow was carried out and it shows that the proposed model has the capabilities to simulate meandering flow.

关 键 词：正交曲线坐标系 BGK BOLTZMANN方程 弯道河流 水流控制方程 

分 类 号：TV131[水利工程—水力学及河流动力学]