Geostrophic Shock Waves
Geostrophic Shock Waves
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地转冲击波
DOI：
10.1175/1520-0485(1986)016
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
D. Nof
中科院分区：
文献类型：
--
作者：
D. Nof
摘要 涉及陡峭和耗散之间平衡的有组织的深度不连续性通常称为冲击波。分析“诱导重力”模型用于检查一种特殊的冲击波。所研究的波是与通道中超临界流和亚临界流之间的过渡相关的深度不连续性。尽管波浪本身是高度非线性的，但相邻的上游和下游场在横流方向上完全是地转的。因此，我们将这种波称为地转冲击波。我们关注静止冲击波，其水平投影是垂直于侧壁的直线。整个领域的解决方案是使用幂级数展开式和相当于所谓的朗肯-于格尼奥约束的冲击条件来分析构建的。研究发现，对于特定的上游条件，如果粒子速度超过表面重力波速度（即流...
Abstract Organized depth discontinuities involving a balance between steepening and dissipation are usually referred to as shock waves. An analytical “educed gravity” model is used to examine a special kind of shock wave. The wave under study is a depth discontinuity associated with a transition between a supercritical and subcritical flow in a channel. Even though the wave itself is highly nonlinear, the adjacent upstream and downstream fields are exactly geostrophic in the cross-stream direction. For this reason we term the wave a geostrophic shock wave. We focus on a stationary shock wave whose horizontal projection is a straight line perpendicular to the side walls. Solutions for the entire field are constructed analytically using power series expansions and shock conditions equivalent to the so-called Rankine-Hugoniot constraints. It is found that, for particular upstream conditions, a geostrophic shock wave can be formed if the particle speed exceeds the surface gravity wave speed (i.e., the flow is...