Influence of the condensate and inverse cascade on the direct cascade in wave turbulence
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چکیده
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Robustness of the inverse cascade in two-dimensional turbulence.
We study quasisteady inverse cascades in unbounded and bounded two-dimensional turbulence driven by time-independent injection and dissipated by molecular viscosity. It is shown that an inverse cascade that carries only a fraction r of the energy input to the largest scales requires the enstrophy-range energy spectrum to be steeper than k(-5) (ruling out a direct cascade) unless 1-r<<1. A direc...
متن کاملField theory of the inverse cascade in two-dimensional turbulence.
A two-dimensional fluid, stirred at high wave numbers and damped by both viscosity and linear friction, is modeled by a statistical field theory. The fluid's long-distance behavior is studied using renormalization-group (RG) methods, as begun by Forster, Nelson, and Stephen [Phys. Rev. A 16, 732 (1977)]. With friction, which dissipates energy at low wave numbers, one expects a stationary invers...
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ژورنال
عنوان ژورنال: Mathematics and Computers in Simulation
سال: 2012
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2010.07.009