A dual finite volume method scheme for catastrophic flash floods in channel networks
A dual finite volume method scheme for catastrophic flash floods in channel networks
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DOI：
10.1016/j.apm.2014.05.021
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发表时间：
2015
影响因子：
5
通讯作者：
H. Yoshioka;K. Unami;M. Fujihara
中科院分区：
文献类型：
--
作者：
H. Yoshioka;K. Unami;M. Fujihara
基于一维浅水波方程组，提出了一种新的求解山洪暴发的数值方法--对偶有限体积法（DFVM）。该方案采用基于交错网格的迎风空间离散方法，使多连通渠道网络中的流动得到一致的处理，而不需要在交汇处进行复杂的处理。首先，该计划是检查一系列的测试情况下，包括理想化和实验溃坝问题，以证明其准确性和通用性。该计划，然后应用于数值模拟的山洪灾害所造成的地震引起的完全在日本的大坝崩溃。从水库到下游河流的河道被模拟为一个多连接的河道网络，具有非棱柱形横截面、陡坡和弯道。计算结果与现场观测和目击者报告相吻合。并对可能出现的不同情况进行数值模拟，分析下游区域的潜在风险。
This paper develops a new numerical scheme for flash floods based on the one-dimensional shallow water equations in channel networks, referred to as the dual finite volume method (DFVM) scheme. The scheme uses an upwind spatial discretization based on staggered meshes so that the flows in multiply connected channel networks are consistently handled without complicated treatment at junctions. The scheme is firstly examined with a series of test cases including idealized and experimental dam break problems to demonstrate its accuracy and versatility. The scheme is then applied to numerical simulation of a flash flood resulting from an earthquake-induced complete dam failure in Japan. Channels from a reservoir to the downstream rivers are modelled as a multiply connected channel network with non-prismatic cross-sections, steep slopes, and bends. The computational results agree well with the field observations and eyewitness reports. Numerical simulation of alternative scenarios as possible cases is also performed to analyze potential risks of the downstream area.