Simplified two-layer models of precipitating atmosphere and their properties

  title={Simplified two-layer models of precipitating atmosphere and their properties},
  author={Julien Lambaerts and Guillaume Lapeyre and Vladimir Zeitlin and François Bouchut},
  journal={Physics of Fluids},
We derive a two-layer rotating shallow-water model for a moist atmosphere with water vapor condensation and related diabatic heating. Moist convection is represented by additional mass exchanges between the layers, which are determined from the moist enthalpy conservation principle, and related to the precipitation. Various boundary conditions at the lower and upper boundaries may be used. We show that the model reproduces in appropriate limits the main simplified models used previously in the… 
Moist versus Dry Baroclinic Instability in a Simplified Two-Layer Atmospheric Model with Condensation and Latent Heat Release
AbstractThe authors undertake a detailed analysis of the influence of water vapor condensation and latent heat release upon the evolution of the baroclinic instability. The framework consists in a
Moist-convective thermal rotating shallow water model
We show how the moist-convective rotating shallow water model, where the moist convection and the related latent heat release are incorporated into the standard rotating shallow water model of the
Equatorial modons in dry and moist-convective shallow-water systems on a rotating sphere
Abstract The adjustment of equatorial pressure anomalies is studied using high-resolution numerical simulations within one- and two-layer shallow-water systems on a rotating sphere, which include a
Moist versus Dry Barotropic Instability in a Shallow-Water Model of the Atmosphere with Moist Convection
AbstractDynamical influence of moist convection upon development of the barotropic instability is studied in the rotating shallow-water model. First, an exhaustive linear “dry” stability analysis of
Influence of condensation and latent heat release upon barotropic and baroclinic instabilities of vortices in a rotating shallow water f-plane model
Analysis of the influence of condensation and related latent heat release upon developing barotropic and baroclinic instabilities of large-scale low Rossby-number shielded vortices on the f-plane is
Instabilities of low-latitude easterly jets in the presence of moist convection and topography and related cyclogenesis, in a simple atmospheric model
A simple two-layer model, the moist-convective rotating shallow water, which allows for low-cost high-resolution numerical simulations of the dynamics of the moist atmosphere in the presence of
Understanding dynamics of large-scale atmospheric vortices with moist-convective shallow water model
Atmospheric jets and vortices which, together with inertia-gravity waves, constitute the principal dynamical entities of large-scale atmospheric motions, are well described in the framework of one-
Eastward-moving equatorial modons in moist-convective shallow-water models
It is shown that steady large-scale slowly eastward-moving twin-cyclone coherent structures, the equatorial modons, exist in both one- and two layer versions of the rotating shallow water model on
Evolution, propagation and interactions with topography of hurricane-like vortices in a moist-convective rotating shallow-water model
Abstract The so-called moist-convective shallow-water model, which incorporates moist convection in a simple albeit self-consistent way is used to analyse how intense localized vortices, with
The quasi-geostrophic theory of the thermal shallow water equations
Abstract The thermal shallow water equations provide a depth-averaged description of motions in a fluid layer that permits horizontal variations in material properties. They typically arise through


Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection
We describe a shallow-water type atmospheric model which includes the transport of moisture as well as related precipitation and convection effects. The model combines hydrodynamic nonlinearity of
The Structure of Precipitation Fronts for Finite Relaxation Time
When convection is parameterized in an atmospheric circulation model, what types of waves are supported by the parameterization? Several studies have addressed this question by finding the linear
Precipitation fronts and the reflection and transmission of tropical disturbances
This paper investigates the interactions between precipitation and the circulation in an idealized model for the tropical atmosphere where convection is represented by a quasi‐equilibrium closure.
Moist versus Dry Barotropic Instability in a Shallow-Water Model of the Atmosphere with Moist Convection
AbstractDynamical influence of moist convection upon development of the barotropic instability is studied in the rotating shallow-water model. First, an exhaustive linear “dry” stability analysis of
Large Scale Dynamics of Precipitation Fronts in the Tropical Atmosphere: A Novel Relaxation Limit
A simplifled set of equations is derived systematically below for the interaction of large scale ∞ow flelds and precipitation in the tropical atmosphere. These equations, the Tropical Climate Model,
Studies of moisture effects in simple atmospheric models: The stable case
Abstract The shallow-water equations are supplemented by a moisture equation in order to model effects of latent heat release on the horizontal propagation of disturbances. Since latent heating in
Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. Part 2. Active lower layer
This paper is the second part of the work on linear and nonlinear stability of buoyancy-driven coastal currents. Part 1, concerning a passive lower layer, was presented in the companion paper Gula &
The role of moisture in the dynamics and energetics of turbulent baroclinic eddies
The effects of moisture on nonlinear baroclinic eddies are examined in the context of a horizontally homogeneous two-layer quasigeostrophic model. Using an explicit equation for moisture and a simple
Analytical and numerical results for flow and shock formation in two-layer gravity currents
  • P. J. Montgomery, T. Moodie
  • Environmental Science
    The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
  • 1998
Abstract Many gravity driven flows can be modelled as homogeneous layers of inviscid fluid with a hydrostatic pressure distribution. There are examples throughout oceanography, meteorology, and many
Atmospheric Frontogenesis Models: Mathematical Formulation and Solution
Abstract The approximation of geostrophic balance across a front is studied. Making this approximation, an analytic approach is made to a frontogenesis model based on the classic horizontal