Flood Simulation Using a Well-Balanced Shallow Flow Model
Flood Simulation Using a Well-Balanced Shallow Flow Model
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DOI：
10.1061/(asce)hy.1943-7900.0000219
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发表时间：
2010-09
影响因子：
2.4
通讯作者：
Q. Liang
中科院分区：
文献类型：
--
作者：
Q. Liang
这项工作扩展和改进了一维浅流模型到二维（2D）的现实世界的洪水模拟。该模型使用有限体积godunov型数值格式解决了包括摩擦源项在内的全二维浅水方程的预平衡公式。采用一种保证非负深度的重建方法，结合Harten、Lax和van Leer近似黎曼解算器，恢复接触波计算界面通量。提出了一种局部床层修正方法，以保持该算法在干湿模拟中的良好平衡性。利用有限斜率线性重建和龙格-库塔时间积分法实现了二阶精确格式。该模型适用于计算不同类型的洪波，从缓慢变化的洪水到极端和猛烈的洪水，在包括自然地形和密集城市地区在内的复杂区域传播。在对…
This work extends and improves a one-dimensional shallow flow model to two-dimensional (2D) for real-world flood simulations. The model solves a prebalanced formulation of the fully 2D shallow water equations, including friction source terms using a finite volume Godunov-type numerical scheme. A reconstruction method ensuring nonnegative depth is used along with a Harten, Lax, and van Leer approximate Riemann solver with the contact wave restored for calculation of interface fluxes. A local bed modification method is proposed to maintain the well-balanced property of the algorithm for simulations involving wetting and drying. Second-order accurate scheme is achieved by using the slope limited linear reconstruction together with a Runge-Kutta time integration method. The model is applicable to calculate different types of flood wave ranging from slow-varying inundations to extreme and violent floods, propagating over complex domains including natural terrains and dense urban areas. After validating against...