|Título||Modeling velocity in gradient flows with coupled-map lattices with advection
Lind, Pedro Gonçalves
Corte-Real, João Alexandre Medina
Gallas, Jason Alfredo Carlson
|Abstract||We introduce a simple model to investigate large scale behavior of gradient flows based on a lattice of coupled maps which, in addition to the usual diffusive term, incorporates advection, as an asymmetry in the coupling between nearest neighbors. This diffusive-advective model predicts traveling patterns to have velocities obeying the same scaling as wind velocities in the atmosphere, regarding the advective parameter as a sort of geostrophic wind. In addition, the velocity and wavelength of traveling wave solutions are studied. In general, due to the presence of advection, two regimes are identified: for strong diffusion the velocity varies linearly with advection, while for weak diffusion a power law is found with a characteristic exponent proportional to the diffusion.
|Contido em||Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 66, no. 1 (July 2002), 016219, 6 p.
Dinâmica de fluidos computacional
Sistemas dinâmicos não-lineares
Teoria de redes
|Tipo||Artigo de periódico
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