Stretching field

Stretching field

In applied mathematics, stretching fields provide the local deformation of an infinitesimal circular fluid element over a finite time interval ∆"t". The logarithm of the stretching (after first dividing by ∆"t") gives the finite-time Lyapunov exponent λ for separation of nearby fluid elements at each point in a flow. For periodic two-dimensional flows, stretching fields have been shown to be closely related to the mixing of a passive scalar concentration field. Until recently, however, the extension of these ideas to systems that are non-periodic or weakly turbulent has been possible only in numerical simulations.


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