Multiscales and cascading in isotropic turbulence |
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Authors: | Zheng Ran |
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Institution: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China |
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Abstract: | The explicit mapping method is used to analyze the nonlinear dynamical behavior for cascade in isotropic turbulence. This
deductive scale analysis is shown to provide the first visual evidence of the celebrated Richardson-Kolmogorv cascade, and
reveals in particular its multiscale character based on the statistical solutions of Navier-Stokes equations. The results
also indicate that the energy cascading process has remarkable similarities with the deterministic construction rules of the
logistic map. Cascade of period-doubling bifurcations have been seen in this isotropic turbulent system that exhibit chaotic
behavior. The “cascade” appears as an infinite sequence of period-doubling bifurcations. |
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Keywords: | isotropic turbulence multiscales cascade nonlinear bifurcation |
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