Fast and slow resonant triads in the two-layer rotating shallow water equations
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DOI: 10.1017/jfm.2018.468
Abstract: In this paper, we examine triad resonances in a rotating shallow water system when there are two free interfaces. This allows for an examination in a relatively simple model of the interplay between baroclinic and… read more here.
Keywords: rotating shallow; mode; layer rotating; shallow water ... See more keywords
Upscale transfer of waves in one-dimensional rotating shallow water
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2023.114
Abstract: Abstract We study the inverse flux of waves in one of the simplest geophysical fluid dynamics models: one-dimensional rotating shallow water equations. Based on direct numerical integration of the governing equations, we find that waves… read more here.
Keywords: transfer; shallow water; one dimensional; dimensional rotating ... See more keywords
Balance in non-hydrostatic rotating shallow-water flows
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DOI: 10.1063/5.0057707
Abstract: Unsteady nonlinear shallow-water flows typically emit inertia-gravity waves through a process called “spontaneous adjustment-emission.” This process has been studied extensively within the rotating shallow-water model, the simplest geophysical model having the required capability. Here, we… read more here.
Keywords: water flows; rotating shallow; water; layer ... See more keywords
The QG limit of magnetohydrodynamic rotating shallow water system
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DOI: 10.1063/5.0197052
Abstract: Magnetohydrodynamic rotating shallow water system (MRSW) is a proposed model for a thin layer of electrically conducting fluid, which plays an important role in astrophysical plasma studies. For the spatial periodic domain, a mathematically rigorous… read more here.
Keywords: shallow water; magnetohydrodynamic rotating; water system; rotating shallow ... See more keywords
Time periodicity of global classical solution to one-dimensional rotating shallow water system
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DOI: 10.1063/5.0240105
Abstract: In this paper, we first give the global stability of the steady flow of the one-dimensional rotating shallow water equations, by using wave decomposition and uniform prior estimates. Under the assumption that the boundary data… read more here.
Keywords: shallow water; dimensional rotating; rotating shallow; one dimensional ... See more keywords
Aeolus 2.0's thermal rotating shallow water model: A new paradigm for simulating extreme heatwaves, westerly jet intensification, and more
Sign Up to like & getrecommendations! Published in 2025 at "Physics of Fluids"
DOI: 10.1063/5.0244908
Abstract: In this study, we demonstrate the dynamical core and applicability of Aeolus 2.0, a moist-convective thermal rotating shallow water model of intermediate complexity, along with its novel bulk aerodynamic and moist-convective schemes, in capturing the… read more here.
Keywords: shallow water; thermal rotating; rotating shallow; increased radiative ... See more keywords