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

Authors

Lind,  P.G.
External Organizations;

Titz,  S.
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/persons/resource/till.kuhlbrodt

Kuhlbrodt,  Till
Potsdam Institute for Climate Impact Research;

Corte-Real,  J.A.
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/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

Gallas,  J.A.C.
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Feudel,  U.
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Citation

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


Cite as: https://publications.pik-potsdam.de/pubman/item/item_12159
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.