组合式阶梯溜槽的建模与分析
Modeling and analysis of pooled stepped chutes
摘要：
我们考虑一个应用程序的汇集阶梯滑槽中的运输在每个汇集步骤所描述的浅水方程。这种系统可以在例如大型水坝处找到，以便释放溢出的水。我们从工程文献中分析了不同斜槽之间的流动耦合的数学条件。我们给出了一个大范围的黎曼问题的解，并给出了耦合问题的一个适定性结果。最后，我们报告了一些数值实验。
英文摘要：
We consider an application of pooled stepped chutes where the transport in each pooled step is described by the shallow--water equations. Such systems can be found for example at large dams in order to release overflowing water. We analyze the mathematical conditions coupling the flows between different chutes taken from the engineering literature. We present the solution to a Riemann problem in the large and also a well--posedness result for the coupled problem. We finally report on some numerical experiments.
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