English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In the context of two-dimensional (2D) turbulence, we apply the maximumentropy production principle (MEPP) by enforcing a local conservation ofenergy. This leads to an equation for the vorticity distribution that conservesall the Casimirs, the energy, and that increases monotonically the mixingentropy ($H$-theorem). Furthermore, the equation for the coarse-grainedvorticity dissipates monotonically all the generalized enstrophies. Theseequations may provide a parametrization of 2D turbulence. They do not generallyrelax towards the maximum entropy state. The vorticity current vanishes for anysteady state of the 2D Euler equation. Interestingly, the equation for thecoarse-grained vorticity obtained from the MEPP turns out to coincide, aftersome algebraic manipulations, with the one obtained with the anticipatedvorticity method. This shows a connection between these two approaches when theconservation of energy is treated locally. Furthermore, the newly derivedequation, which incorporates a diffusion term and a drift term, has a nicephysical interpretation in terms of a selective decay principle. This gives anew light to both the MEPP and the anticipated vorticity method.

A parametrization of two-dimensional turbulence based on a maximum entropy production principle with a local conservation of energy