Casimir cascades in two-dimensional turbulence
In addition to conserving energy and enstrophy, the nonlinear terms of the two-dimensional incompressible Navier–Stokes equation are well known to conserve the global integral of any continuously differentiable function of the scalar vorticity field. However, the phenomenological role of these addit...
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Published in | Journal of fluid mechanics Vol. 729; pp. 364 - 376 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Cambridge, UK
Cambridge University Press
25.08.2013
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Subjects | |
Online Access | Get full text |
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Summary: | In addition to conserving energy and enstrophy, the nonlinear terms of the two-dimensional incompressible Navier–Stokes equation are well known to conserve the global integral of any continuously differentiable function of the scalar vorticity field. However, the phenomenological role of these additional inviscid invariants, including the issue as to whether they cascade to large or small scales, is an open question. In this work, well-resolved implicitly dealiased pseudospectral simulations suggest that the fourth power of the vorticity cascades to small scales. |
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ISSN: | 0022-1120 1469-7645 |
DOI: | 10.1017/jfm.2013.308 |