Entropy Production in Turbulence Parameterizations

  • Almut GassmannEmail author
  • Richard Blender
Part of the Mathematics of Planet Earth book series (MPE, volume 1)


The atmosphere is a forced-dissipative system. It has to export more entropy than it imports in a steady state. Therefore, the entropy inflow and outflow have to be distinguished from the internal entropy production, which has to be positive in the mean on long timescales. This principle does not only hold for the whole atmosphere, but also for subsystems like individual grid boxes in a numerical model. However, the constraint of positive internal entropy production was not taken into account when developing contemporary subgrid-scale parameterization schemes for atmospheric models. Some of these schemes suit automatically into this framework; some do not. This article discusses the current understanding and scientific discussion of this topic and illustrates possible future development paths.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Leibniz-Institut für Atmosphärenphysik e.V.Universität RostockRostockGermany
  2. 2.Center for Earth System Research and Sustainability (CEN)Universität HamburgHamburgGermany

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