2D shallow-water simulation for urbanized areas
-
摘要: 城市地区存在密集的建筑,采用传统二维数值模拟方法模拟城市洪水,需要提取城市复杂的建筑物作为计算边界和加密计算网格,难以应用于大尺度城市洪水模拟。为此,引入容积率系数修改原始二维浅水方程,以反映建筑物对城市洪水演进的影响,并采用人工逆风通量向量分裂有限体积法构建数值计算模型,求解修改后的二维浅水方程。为了检验模型,采用两个算例进行验证,并对计算结果对比分析。研究表明,该模型不需要进行建筑边界提取和精细计算网格,精度上,完全能够满足大尺度城市洪水模拟精度要求。Abstract: Extracting urban features from dense building is essential to the simulation of urban flooding using classical twodimensional models.These urban complex structures are parts of boundaries in the simulation domain,where the mesh may be locally refined.As a result,the largescale urban flood simulation may not be feasible due to limited information in urban buildings.In this study,the classical twodimension shallow water equation is improved through the introduction of a plot ratio coefficient that can represent the building influence on urban flood simulation.The modified two dimension shallow water equation is solved by a finite volume method with artificial upstream flux vector splitting.The improved model is tested in two numerical case studies.The result shows that the model is able to simulate urban floods with an acceptable accuracy.At the same time,the requirement for urban feature extractions is significantly reduced.
-
Key words:
- hydrodynamics /
- finite volume method /
- numerical simulation /
- urban flood /
- shallow water equations
-
[1] 解以扬,李大鸣,李培彦,等.城市暴雨内涝数学模型的研究与应用[J].水科学进展,2005,16(3):384-390.(XIE Yi-yang,LI Da-ming,LI Pei-yan,et al.Research and application of the mathematical model for urban rainstorm water logging[J].Advances in Water Science,2005,16(3):384-390.(in Chinese)) [2] DEFINA A,D' ALPAOS L,MATTICHIO B.A new set of equations for very shallow water and partially dry areas suitable to 2D numerical domains[C]//Proceedings Specialty Conference:Modelling of Flood Propagation over Initially Dry Areas.Reston:American Society of Civil Engineers,1994. [3] HERVOUET J M,SAMIE R,MOREAU B.Modelling urban areas in dam-break flood-wave numerical simulations[C]//Proceedings of the International Seminar and Workshop on Rescue Actions Based on Dambreak Flow Analysis.Hoboken:John Wiley &Sons,2000. [4] GUINOT V,SOARES-FRAZAO S.Flux and source term discretization in two-dimensional shallow water models with porosity on unstructured grids[J].International Journal for Numerical Methods in Fluids,2006,50(3):309-345. [5] LHOMME J,SOARES-FRAZAO S,GUINOT V,et al.Large-scale urban floods modeling and two-dimensional shallow water models with porosity[C]//7th international conference on hydroinformatics.Singapore:Research Publishing Services,2006. [6] SOARES-FRAZAO S,LHOMME J,GUINOT V,et al.Two-dimensional shallow-water model with porosity for urban flood modeling[J].Journal of Hydraulic Research,2008,46(1):45-64. [7] 周浩澜,陈洋波,任启伟.不规则地形浅水模拟[J].水动力学研究与进展:A辑,2010,25(5):594-600.(ZHOU Hao-lan,CHEN Yang-bo,REN Qi-wei.The shallow-water simulation for irregular terrain[J].Chinese Journal of Hydrodynamics,2010,25(5):594-600.(in Chinese)) [8] AUDUSSE E,BOUCHUT F,BRISTEAU M,et al.A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows[J].SIAM Journal on Scientific Computing,2004,25(6):2050-2065. [9] 夏军强,王光谦,LIN Bin-liang,等.复杂边界及实际地形上溃坝洪水流动过程模拟[J].水科学进展,2010,21(3):289-298.(XIA Jun-qiang,WANG Guang-qian,LIN Bin-liang,et al.Two-dimensional modelling of dam-break floods over actual terrain with complex geometries using a finite volume method[J].Advances in Water Science,2010,21 (3):289-298.(in Chinese)) -
点击查看大图
计量
- 文章访问数: 14
- HTML全文浏览量: 2
- PDF下载量: 870
- 被引次数: 0
下载:
