Thermal instability in rotating shallow water with horizontal temperature/density gradients
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In this paper, a specific instability of vortices is found in rotating shallow water equations with horizontal density/temperature gradients, which is used for modelling atmospheric and oceanic mixed layers.Abstract:
A specific instability of vortices is found in rotating shallow water equations with horizontal density/temperature gradients, which is used for modelling atmospheric and oceanic mixed layers. The model is re-interpreted as dynamics of rotating non-isentropic two-dimensional gas. The instability, which was not reported previously, develops in a way suggesting its convective character. It appears when anomaly of buoyancy at the center of the vortex and the vorticity have opposite signs (for positive Coriolis parameters), and coexists with the standard barotropic instability, having higher growth rates in a wide range of parameters and leading to efficient mixing at a nonlinear stage.read more
Citations
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Moist-convective thermal rotating shallow water model
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A well-balanced central-upwind scheme for the thermal rotating shallow water equations
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A Quasi-Hamiltonian Discretization of the Thermal Shallow Water Equations
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Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme
TL;DR: In this paper, a well-balanced central-upwind scheme for two-dimensional rotating shallow water equations with horizontal temperature/density gradients is proposed, based on thermal rotating shallow.
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Numerical dissipation switch for two-dimensional central-upwind schemes
TL;DR: In this article, a numerical dissipation switch is proposed to control the amount of dissipation present in central-upwind schemes without risking oscillations, which is achieved with the help of a more accurate estimate of the local propagation speeds in the parts of the computational domain.
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