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  Coupled bistable maps: A tool to study convection parametrization in ocean models

Lind, P., Titz, S., Kuhlbrodt, T., Corte-Real, J., Kurths, J., Gallas, J., Feudel, U. (2004): Coupled bistable maps: A tool to study convection parametrization in ocean models. - International Journal of Bifurcation and Chaos, 14, 3, 999-1015.
https://doi.org/10.1142/S0218127404009648

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 Creators:
Lind, P.G.1, Author
Titz, S.1, Author
Kuhlbrodt, Till2, Author              
Corte-Real, J.A.1, Author
Kurths, Jürgen2, Author              
Gallas, J.A.C.1, Author
Feudel, U.1, Author
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1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: We present a study of ocean convection parameterization based on a novel approach which includes both eddy diffusion and advection and consists of a two-dimensional lattice of bistable maps. This approach retains important features of usual grid models and allows to assess the relative roles of diffusion and advection in the spreading of convective cells. For large diffusion our model exhibits a phase transition from convective patterns to a homogeneous state over the entire lattice. In hysteresis experiments we find staircase behavior depending on stability thresholds of local convection patterns. This nonphysical behavior is suspected to induce spurious abrupt changes in the spreading of convection in ocean models. The final steady state of convective cells depends not only on the magnitude of the advective velocity but also on its direction, implying a possible bias in the development of convective patterns. Such bias points to the need for an appropriate choice of grid geometry in ocean modeling.

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 Dates: 2004
 Publication Status: Finally published
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 Rev. Type: -
 Identifiers: DOI: 10.1142/S0218127404009648
eDoc: 1989
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Title: International Journal of Bifurcation and Chaos
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 14 (3) Sequence Number: - Start / End Page: 999 - 1015 Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/journals216