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Advective Time Lags in Box Models

Advective Time Lags in Box Models A box model of the thermohaline circulation with mixed boundary conditions in which advective processes are incorporated via an explicit time delay mechanism is considered. The pipes that connect the subtropical and subpolar boxes have a finite volume and do not interact with the atmosphere or with the rest of the ocean except for channeling fluxes between the subtropical and subpolar regions. The configuration can be reduced to a two-box model, which, unlike the traditional Stommel model, incorporates finite-time advective processes. It is found that including a time lag leaves the haline dominant steady state stable, but the thermally dominant steady state, which is stable in Stommel's model, can have an oscillatory instability. However, this instability does not lead to sustained oscillations. Instead, it simply makes the circulation cross over to the stable haline dominant pattern. Even in part of the parameter range for which the thermally dominant state remains linearly stable, the time lag leads to a finite-amplitude instability so that a relatively small——but not infinitesimal——perturbation about the thermal state can switch the circulation to the haline state. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Physical Oceanography American Meteorological Society

Advective Time Lags in Box Models

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Publisher
American Meteorological Society
Copyright
Copyright © 2000 American Meteorological Society
ISSN
1520-0485
DOI
10.1175/1520-0485(2001)031<1828:ATLIBM>2.0.CO;2
Publisher site
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Abstract

A box model of the thermohaline circulation with mixed boundary conditions in which advective processes are incorporated via an explicit time delay mechanism is considered. The pipes that connect the subtropical and subpolar boxes have a finite volume and do not interact with the atmosphere or with the rest of the ocean except for channeling fluxes between the subtropical and subpolar regions. The configuration can be reduced to a two-box model, which, unlike the traditional Stommel model, incorporates finite-time advective processes. It is found that including a time lag leaves the haline dominant steady state stable, but the thermally dominant steady state, which is stable in Stommel's model, can have an oscillatory instability. However, this instability does not lead to sustained oscillations. Instead, it simply makes the circulation cross over to the stable haline dominant pattern. Even in part of the parameter range for which the thermally dominant state remains linearly stable, the time lag leads to a finite-amplitude instability so that a relatively small——but not infinitesimal——perturbation about the thermal state can switch the circulation to the haline state.

Journal

Journal of Physical Oceanography – American Meteorological Society

Published: Jan 14, 2000

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