Fujiwhara interaction of tropical cyclone scale vortices using a weighted residual collocation method |
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Authors: | Raymond P Walsh Jahrul M Alam |
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Institution: | Department of Mathematics and Statistics, Memorial University of Newfoundland, Newfoundland, Canada |
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Abstract: | The fundamental interaction between tropical cyclones was investigated through a series of water tank experiements by Fujiwhara 6 - 8 . However, a complete understanding of tropical cyclones remains an open research challenge although there have been numerous investigations through measurments with aircrafts/satellites, as well as with numerical simulations. This article presents a computational model for simulating the interaction between cyclones. The proposed numerical method is presented briefly, where the time integration is performed by projecting the discrete system onto a Krylov subspace. The method filters the large scale fluid dynamics using a multiresolution approximation, and the unresolved dynamics are modeled with a Smagorinsky type subgrid scale parameterization scheme. Numerical experiments with Fujiwhara interactions are considered to verify modeling accuracy. An excellent agreement between the present simulation and a reference simulation at has been demonstrated. At , the kinetic energy of cyclones is seen consolidated into larger scales with concurrent enstrophy cascade – suggesting a steady increase of energy containing scales – a phenomena that is typical in two‐dimensional turbulence theory. The primary results of this article suggest a novel avenue for addressing some of the computational challenges of mesoscale atmospheric circulations. Copyright © 2015 John Wiley & Sons, Ltd. |
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Keywords: | cyclone interaction interpolating wavelet scaling function dyadic refinement numerical simulation Navier‐Stokes |
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