四阶带参Hermite河道重建方法及应用研究  

Quartic Hermite spline with parameter for river channel reconstruction and application research

作　　者：支再兴 李占斌[1,2] 侯精明 高海东[1] 于坤霞[1] ZHI Zai-xing;LI Zhan-bin;HOU Jing-ming;GAO Hai-dong;YU Kun-xia(State Key Laboratory Base of Eco-hydraulic Engineering in Arid Area,Xi＇an University of Technology,Xi＇an 710048,China;State Key Laboratory of Soil Erosion and Dry-land Farming on the Loess Plateau,Institute of Soil and Water Conservation,Chinese Academy of Sciences and Ministry of Water Resources,Yangling,Shaanxi 712100,China)

机构地区：[1]西安理工大学西北旱区生态水利工程国家重点实验室培育基地,西安710048 [2]中科院水利部水土保持研究所黄土高原与旱地农业国家重点实验室,杨凌712100

出　　处：《水动力学研究与进展（A辑）》2018年第4期500-507,共8页Chinese Journal of Hydrodynamics

基　　金：国家重点研发计划(2016YFC0402704);国家重点研发计划(2016YFC0402407);国家重点研发计划(2016YFC0402404)~~

摘　　要：二维洪水演进模拟需要高精度地形资料来提高计算的准确性,但河道水下地形不易获取。为解决此难题,该文提出一种利用有限河道断面地形资料来构建整体河道地形的方法。四阶Hermite带参插值通过对参数的调节使相邻插值断面间河道走势更接近原始流域,并用该法构建了王茂沟流域沟道地形,对三百年一遇的场次洪水过程进行了模拟。通过对比四阶Hermite带参插值和已有的三阶Hermite插值构建地形的误差和水动力学模型对应的模拟结果,表明四阶Hermite带参插值的地形精度可提高15%,洪水模拟结果精度至少能提高18.5%,证实了所提出的方法能更为合理地进行河道地形的构建,对研究资料短缺地区的水文水动力过程有着重要的意义。Numerical modeling of flood routing demands accurate topography to build computational mesh.The high-resolution topography is crucial to ensure the precision.However,the submerged river bed topography is difficult to obtain.To resolve the terrain data deficiency problems in rivers,the QHSP（Quartic Hermite Spline with Parameter） algorithm used for river channel interpolation is presented in this work to adjust the river tendency of the adjacent cross-sections.The river channel in Wangmaogou catchment is simulated with net rainfall in a returning period of 300 years to contrast the feasibility and adaptability of the proposed interpolation approach.The results were compared between the QHSP and the existing Cubic Hermite Spline（CHS）in terms of the reconstructed river bed and flood process simulated by the 2D shallow water model,the accuracy of interpolated river channel is improved by 15%,the precision of flood simulation is increased by at least 18.5%,indicating that the QHSP is more suitable for the river terrain reconstruction than the CHS.The proposed method is significant to investigate hydrologic and hydrodynamic process in the regions without sufficient topography data.

关 键 词：四阶Hermite带参插值 地形构建 水动力数值模拟 洪水演进 

分 类 号：TV91[水利工程—水利水电工程]