The Russian mathematician Andrey Kolmogorov proposed the first statistical theory of turbulence, based on the aforementioned notion of the energy cascade ( an idea originally introduced by Richardson ) and the concept of self-similarity.
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In continuum mechanics, an "'energy cascade "'refers to the transfer of energy from large scales of motion to the small scales called a "'direct energy cascade " '.
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In continuum mechanics, an "'energy cascade "'refers to the transfer of energy from large scales of motion to the small scales called a "'direct energy cascade " '.
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The mean magnetic field plays an important role in MHD turbulence, for example it can make the turbulence anisotropic; suppress the turbulence by decreasing energy cascade etc . The earlier MHD turbulence models assumed isotropy of turbulence, while the later models have studied anisotropic aspects.
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Kolmogorov's idea was that in the Richardson's energy cascade this geometrical and directional information is lost, while the scale is reduced, so that the statistics of the small scales has a universal character : they are the same for all turbulent flows when the Reynolds number is sufficiently high.
