Thermodynamic Coupled Modes in the Tropical Atmosphere–Ocean: An Analytical Solution

Faming Wang Institute of Oceanology, Chinese Academy of Sciences, Qingdao, Shandong, China

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Abstract

The present study provides a consistent and unified solution for the two types of thermodynamical coupled modes in the atmosphere–ocean climate system: the tropical meridional mode and the subtropical dipole mode. The solution is derived analytically from a linear model that couples a simple atmosphere to a slab ocean via the wind–evaporation–SST (WES) feedback. For a mean zonal wind, the results show that the wind (hence latent heat flux) anomaly and the SST anomaly differ in phase such that the tropical mode propagates downwind and the subtropical modes propagate upwind, with both modes being damped by the SST-driven component of latent heat flux. Despite the existence of positive WES feedback, the large-scale subtropical modes are always stable, while the tropical mode can become unstable only when the air–sea coupling is strong and the mean wind is easterly. Furthermore, the mean meridional winds break the equatorial symmetry and enable the coupled modes to intensify in the Southern (Northern) Hemisphere for a southerly (northerly) component. For realistic parameter values, these thermodynamical coupled modes have periods and damping time scales in years; hence, they may play important roles in the tropical interannual-to-decadal climate variability.

Corresponding author address: Faming Wang, Institute of Oceanology, Chinese Academy of Sciences, 7 Nanhai Rd., Qingdao, Shandong, China 266071. Email: faming_wang@ms.qdio.ac.cn

Abstract

The present study provides a consistent and unified solution for the two types of thermodynamical coupled modes in the atmosphere–ocean climate system: the tropical meridional mode and the subtropical dipole mode. The solution is derived analytically from a linear model that couples a simple atmosphere to a slab ocean via the wind–evaporation–SST (WES) feedback. For a mean zonal wind, the results show that the wind (hence latent heat flux) anomaly and the SST anomaly differ in phase such that the tropical mode propagates downwind and the subtropical modes propagate upwind, with both modes being damped by the SST-driven component of latent heat flux. Despite the existence of positive WES feedback, the large-scale subtropical modes are always stable, while the tropical mode can become unstable only when the air–sea coupling is strong and the mean wind is easterly. Furthermore, the mean meridional winds break the equatorial symmetry and enable the coupled modes to intensify in the Southern (Northern) Hemisphere for a southerly (northerly) component. For realistic parameter values, these thermodynamical coupled modes have periods and damping time scales in years; hence, they may play important roles in the tropical interannual-to-decadal climate variability.

Corresponding author address: Faming Wang, Institute of Oceanology, Chinese Academy of Sciences, 7 Nanhai Rd., Qingdao, Shandong, China 266071. Email: faming_wang@ms.qdio.ac.cn

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