On simple waves and weak shock theory for the equations of alluvials river hydraulics

On simple waves and weak shock theory for the equations of alluvials river hydraulics
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DOI：
10.1098/rsta.1996.0137
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发表时间：
1996-12
期刊：
Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子：
--
通讯作者：
D. D. L. Zanré-D.;D. Needham
D. D. L. Zanré-D.;D. Needham
中科院分区：
其他
文献类型：
--
作者：
D. D. L. Zanré-D.;D. Needham

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本文考虑了控制冲积河动力学的水力方程。 Needham & Hey (1991) 描述并全面分析了该系统的冲击波类别。本文确定了互补扩展波类别。此外，还考虑了更一般的简单波并建立了弱激波理论。这用于考虑几个实际例子，包括疏浚河段的动态、沉积物的传播以及沉积物阻塞和提取的影响。
This paper considers the hydraulic equations governing alluvial river dynamics. The shock-wave classes for this system were described and fully analysed by Needham & Hey (1991). The complementary expansion wave classes are determined in this paper. In addition, more general simple waves are considered and a weak-shock theory is established. This is used to consider several practical examples, including the dynamics of dredged river sections, the propagation of sediment slugs and the effects of sediment blocking and extraction.