An exact solution for ideal dam‐break floods on steep slopes
An exact solution for ideal dam‐break floods on steep slopes
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DOI：
10.1029/2007wr006353
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发表时间：
2008-01
影响因子：
5.4
通讯作者：
C. Ancey;R. M. Iverson;M. Rentschler;R. Denlinger
中科院分区：
文献类型：
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作者：
C. Ancey;R. M. Iverson;M. Rentschler;R. Denlinger
浅水方程被用来模拟由有限体积的无摩擦、不可压缩的流体沿着任意倾斜的均匀坡度突然释放所产生的流动。速度图变换和Riemann方法使得将控制方程转化为线性系统，然后推导出以易于计算的积分形式表示的精确解析解成为可能。虽然该解处理的是自然界中从未严格实现的理想化情况，但它特别适合于测试用于模拟陡坡上浅水流动的数值模型的稳健性和准确性。
The shallow‐water equations are used to model the flow resulting from the sudden release of a finite volume of frictionless, incompressible fluid down a uniform slope of arbitrary inclination. The hodograph transformation and Riemann's method make it possible to transform the governing equations into a linear system and then deduce an exact analytical solution expressed in terms of readily evaluated integrals. Although the solution treats an idealized case never strictly realized in nature, it is uniquely well‐suited for testing the robustness and accuracy of numerical models used to model shallow‐water flows on steep slopes.