Atmospheric undular bores
نویسندگان
چکیده
Abstract We show that a recently-derived model for the propagation of nonlinear waves in atmosphere admits undular bores as travelling-wave solutions. These solutions represent consisting damped oscillation behind front is preceded by uniform breeze-type flow. The generation such wave profiles requires jump heat source across leading wave, feature consistent with observations.
منابع مشابه
Integrable Shallow-Water Equations and Undular Bores
On the basis of the integrable Kaup–Boussinesq version of the shallow-water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.
متن کاملA dispersive model for undular bores
In this article, consideration is given to weak bores in free-surface flows. The energy loss in the shallow-water theory for an undular bore is thought to be due to upstream oscillations that carry away the energy lost at the front of the bore. Using a higher-order dispersive model equation, this expectation is confirmed through a quantitative study which shows that there is no energy loss if d...
متن کاملGeneration of internal undular bores by transcritical flow over topography
In both the ocean and the atmosphere, the interaction of a density stratified flow with topography can generate large-amplitude, horizontally propagating internal solitary waves. Often these waves appear as a wave-train, or undular bore. In this article we focus on the situation when the flow is critical, that is, the flow speed is close to that of a linear long wave mode. In the weakly nonline...
متن کاملEnvironmental Impact of Undular Tidal Bores in Tropical Rivers
A tidal bore impacts significantly on the estuarine ecosystem, although little is known on the flow field, mixing and sediment motion beneath tidal bores. In the absence of detailed systematic field measurements, a quasi-steady flow analogy was applied to investigate undular tidal bores with inflow Froude numbers between 1.25 and 1.6. Experimental results indicated that rapid flow redistributio...
متن کاملKorteweg – de Vries equation: solitons and undular bores
The Korteweg – de Vries (KdV) equation is a fundamental mathematical model for the description of weakly nonlinear long wave propagation in dispersive media. It is known to possess a number of families of exact analytic solutions. Two of them: solitons and nonlinear periodic travelling waves – are of particular interest from the viewpoint of fluid dynamics applications as they occur as typical ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2023
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-023-02624-8