S. Dostoglou, R.R. Gastler and Stephen Montgomery-Smith, Negative longitudinal correlation for isotropic flows.
Preprint.
Examples of physically reasonable homogeneous, isotropic, three-dimensional divergence-free vector fields with longitudinal correlation negative on some interval are presented.
The negativity of the longitudinal correlation persists in the Galerkin approximation of the hydrodynamic equations at least for some time. Both the outline of
the mathematical arguments and the numerical implementation are included.
(pdf.)
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