The shallow water equation and the vorticity equation for a change in height of the topography
| Autor: | BingLu Shen, Jian Song, PengCheng Yan, Chaojiu Da, DeShan Ma |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Atmospheric Science
Rain Velocity lcsh:Medicine Geometry 01 natural sciences Systems Science Physics::Fluid Dynamics Fluid dynamics Atmospheric Dynamics lcsh:Science 010301 acoustics Physics::Atmospheric and Oceanic Physics Multidisciplinary Geography Physics Classical Mechanics Geophysics Physical Sciences Compressibility Geology Research Article Shallow Water Computer and Information Sciences Fluid Mechanics Continuum Mechanics Physics::Geophysics Motion Meteorology Vorticity equation Potential vorticity 0103 physical sciences Boundary value problem 010306 general physics Shallow water equations Fluid Flow Omega equation Atmosphere lcsh:R Water Fluid Dynamics Vorticity Models Theoretical Atmospheric Physics Physical Geography Earth Sciences lcsh:Q Hydrology Nonlinear Systems Mathematics |
| Zdroj: | PLoS ONE PLoS ONE, Vol 12, Iss 6, p e0178184 (2017) |
| ISSN: | 1932-6203 |
| Popis: | We consider the shallow water equation and the vorticity equations for a variable height of topography. On the assumptions that the atmosphere is incompressible and a constant density, we simplify the coupled dynamic equations. The change in topographic height is handled as the sum of the inherent and changing topography using the perturbation method, together with appropriate boundary conditions of the atmosphere, to obtain the relationship between the relative height of the flow, the inherent topography and the changing topography. We generalize the conservation of the function of relative position, and quantify the relationship between the height of the topography and the relative position of a fluid element. If the height of the topography increases (decreases), the relative position of a fluid element descends (ascends). On this basis, we also study the relationship between the vorticity and the topography to find the vorticity decreasing (increasing) for an increasing (decreasing) height of the topography. |
| Databáze: | OpenAIRE |
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