| Abstract: |
| One- (or multiple-) layer rotating shallow water (RSW) models are of routine use in geophysical fluid dynamics (V. Zeitlin 2018, ``Geophysical Fluid Dynamics: understanding (almost) everything with rotatingshallow-water models``, OUP) . The models allow for efficient high-resolution finite-volume numerical methods, and straightforward inclusion of bottom topography. Still, traditional RSW describes ``pure`` dynamics, and such crucial atmospheric phenomena as water-vapor condensation and ev
aporation, and related moist convection are not captured. The recently proposed ``moist- convective`` mcRSW models (J. Lambaerts
\textit{et al} 2011, Phys. Fluids, \textbf{23}, 046603) incorporate thermodynamics of the moist air in the shallow-water framework in a self-consistent way, and were shown to correctly reproduce dynamics of the moist atmosphere, including evolution of tropical storms. We demonstrate how the mcRSW models can be further improved to include precipitable water. The models, thus, become cloud-resolving, but keep minimal complexity, and are computationally friendly. A variant of the RSW allowing for variable temperature/density of the fluid is used to render the model even more realistic and couple it to sea-surface temperature.
We illustrate the capacities of the new models by simulating interactions of equatorial waves with maritime continent and Western-Pacific warm-pool in the context of Madden-Julian oscillation and tropical cyclogenesis in South-East Asia. |
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