Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection

DOI10.1063/1.3265970zbMath1183.76106OpenAlexW2022885828WikidataQ57964639 ScholiaQ57964639MaRDI QIDQ5304920

Guillaume Lapeyre, Julien Lambaerts, Vladimir Zeitlin, François Bouchut

Publication date: 18 March 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6e0c4325348a61f68485f09c9ff353102360f08d

zbMATH Keywords

convectionfinite volume methodsshock waveshydrodynamicsmoisturerotational flowatmospheric humidityatmospheric precipitation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10)

Related Items (9)

Influence of condensation and latent heat release upon barotropic and baroclinic instabilities of vortices in a rotating shallow water f-plane model ⋮ Eastward-moving equatorial modons in moist-convective shallow-water models ⋮ Thermal shallow water models of geostrophic turbulence in Jovian atmospheres ⋮ Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations ⋮ The quasi-geostrophic theory of the thermal shallow water equations ⋮ Evolution, propagation and interactions with topography of hurricane-like vortices in a moist-convective rotating shallow-water model ⋮ Equatorial modons in dry and moist-convective shallow-water systems on a rotating sphere ⋮ Instabilities of low-latitude easterly jets in the presence of moist convection and topography and related cyclogenesis, in a simple atmospheric model ⋮ Discontinuous Fronts as Exact Solutions to Precipitating Quasi-geostrophic Equations

Cites Work

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• Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit
• Studies of moisture effects in simple atmospheric models: The stable case
• Frontal geostrophic adjustment, slow manifold and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 1. Theory
• Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 2. High-resolution numerical simulations
• On improving a one-layer ocean model with thermodynamics
• Nonlinear adjustment of a front over escarpment

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