Abstract
A brief summary of the results of numerical modeling undertaken to substantiate the action of the turbulent vortex dynamo (TVD) in the atmosphere is presented. Two series of numerical experiments are discussed. The first of them was aimed at examining a mathematical model of TVD formulated as the mean-field equations, which describe the dynamo-effect in a non-uniformly heated medium. To simulate and demonstrate the main peculiarities of the new large-scale instability in turbulence, an ingenious statement of the problem for numerical analysis was produced, namely, within a simpler framework – the Rayleigh-Bénard problem on laminar thermal convection in an extended horizontal layer. Within the second series, our developed numerical approach, used and tested in the initial series as well as obtained results therein allowed applying the TVD theory to diagnosis of tropical cyclogenesis. To this purpose, the Russian-American collaboration was initiated and the most advanced to that date tools of atmospheric analysis were utilized. Tropical cyclone formation was examined through the analysis of the American data of near-cloud-resolving (2-3 km horizontal grid spacing) atmospheric numerical simulation.
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