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A detailed analysis of deep-decoupling/deep-coupling oscillations in the Welander model
John Bailie1, Henk A Dijkstra2, Bernd Krauskopf1
1Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland 1010, New Zealand.
The Welander model shows oscillations between deep-water mixing and decoupling. Smooth switching functions reveal new oscillation types and transitions driven by freshwater influx, requiring faster switching for sustained deep-decoupling.
Area of Science:
- Oceanography
- Climate Science
- Geophysics
Background:
- The conceptual Welander model simulates ocean temperature and salinity evolution.
- It uses two vertically stacked boxes representing surface and deep water.
- Interactions occur via diffusion and convective adjustment.
Purpose of the Study:
- To comprehensively study oscillations in the Welander model with smooth, non-instantaneous switching.
- To identify and characterize different oscillation types based on diffusive and convective mixing phases.
- To investigate the impact of gradual freshwater influx on oscillation transitions.
Main Methods:
- Utilized a smooth, non-instantaneous switching function in the Welander model.
- Analyzed parameter space to identify regions for different oscillation types.
- Simulated the effects of gradual freshwater influx on model dynamics.
Main Results:
- Identified four distinct oscillation types based on mixing phases.
- Confirmed that characteristic Welander deep-(de)coupling oscillations persist but require faster switching.
- Demonstrated transitions between oscillation types induced by freshwater influx.
Conclusions:
- Smooth switching functions reveal complex oscillatory behaviors in the Welander model.
- Sustained deep-decoupling oscillations necessitate rapid switching dynamics.
- Freshwater forcing can dynamically alter ocean mixing regimes.
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