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A
way to know whether a velocity field is
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smooth
or rough, is to inspect the energy
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spectrum
E(k)
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![](slide0049_image011.gif) |
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If b < 3 then the field
is rough
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If b > 3 then the field
is smooth
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This is equivalent to
examining the velocity structure function,
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![](slide0049_image012.gif) |
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For which the boundary
between rough and smooth is a=1
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