A non-oscillatory balanced scheme for an idealized tropical climate model |
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Authors: | Boualem Khouider Andrew J Majda |
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Institution: | 1. Mathematics and Statistics, University of Victoria, PO BOX 3045 STN CSC, Victoria, B.C., V8W 3P4, Canada 2. Department of Mathematics and Center for Atmosphere/Ocean Sciences, Courant Institute, New York University, 251 Mercer Street, New York, NY, 10012, USA
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Abstract: | We use the non-oscillatory balanced numerical scheme developed in Part I to track the dynamics of a dry highly nonlinear barotropic/baroclinic
coupled solitary wave, as introduced by Biello and Majda (2004), and of the moisture fronts of Frierson et al. (2004) in the
presence of dry gravity waves, a barotropic trade wind, and the beta effect. It is demonstrated that, for the barotropic/baroclinic
solitary wave, except for a little numerical dissipation, the scheme utilized here preserves total energy despite the strong
interactions and exchange of energy between the baroclinic and barotropic components of the flow. After a short transient
period where the numerical solution stays close to the asymptotic predictions, the flow develops small scale eddies and ultimately
becomes highly turbulent. It is found here that the interaction of a dry gravity wave with a moisture front can either result
in a reflection of a fast moistening front or the pure extinction of the precipitation. The barotropic trade wind stretches
the precipitation patches and increases the lifetime of the moisture fronts which decay naturally by the effects of dissipation
through precipitation while the Coriolis effect makes the moving precipitation patches disappear and appear at other times
and places. |
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