Topographically Forced Three-Wave Quasi-Resonant and Non-Resonant Interactions among Barotropic Rossby Waves on an Infinite Beta-Plane

Luo Dehai

doi:10.1007/s00376-998-0020-x

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Volume 15 Issue 1

Jan. 1998

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Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1998 > 15(1): 83-98

Topographically Forced Three-Wave Quasi-Resonant and Non-Resonant Interactions among Barotropic Rossby Waves on an Infinite Beta-Plane

Luo Dehai

1.
Chengdu Institute of Meteorology, Chengdu, 610041

Luo Dehai

doi: 10.1007/s00376-998-0020-x

Abstract
References
Related papers
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Abstract:
In this paper, we first apply the assumption h=εh` of topographic variation (h is the nondimensional topographic height and is a small parameter) to obtain nonlinear equations describing three-wave quasi-resonant and non-resonant interactions among Rossby waves for zonal wavenumbers 1-3 over a wavenumber-two bottom topography (WTBT). Some numerical calculations are made with the fourth-order Rung-Kutta Scheme. It is found that for the case without topographic forcing, the period of three-wave quasi-resonance (TWQR) is found to be in-dependent of the zonal basic westerly wind, but dependent on the meridional wavenumber and the initial amplitudes. For the fixed initial data, when the frequency mismatch is smaller and the meridional wavelength is moderate, its pe-riod will belong to the 30-60-day period band. However, when the wavenumber-two topography is included, the pe-riods of the forced quasi-resonant Rossby waves are also found to be strongly dependent on the setting of the zonal basic westerly wind. Under the same conditions, only when the zonal basic westerly wind reaches a moderate extent, intraseasonal oscillations in the 30-60-day period band can be found for zonal wavenumbers 1-3. On the other hand, if three Rossby waves considered have the same meridional wavenumber, three-wave non-resonant interaction over a WTBT can occur in this case. When the WTBT vanishes, the amplitudes of these Rossby waves are conserved. But in the presence of a WTBT, the three Rossby waves oscillate with the identical period. The period, over a moder-ate range of the zonal basic westerly wind, is in the intraseasonal, 30-60-day range.
- Three-wave quasi-resonant,
- Non-resonant interactions
References

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Manuscript History

Manuscript received: 10 January 1998

Manuscript revised: 10 January 1998

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Topographically Forced Three-Wave Quasi-Resonant and Non-Resonant Interactions among Barotropic Rossby Waves on an Infinite Beta-Plane

Luo Dehai

1. Chengdu Institute of Meteorology, Chengdu, 610041

Manuscript received: 1998-01-10
Manuscript revised: 1998-01-10

Abstract: In this paper, we first apply the assumption h=εh` of topographic variation (h is the nondimensional topographic height and is a small parameter) to obtain nonlinear equations describing three-wave quasi-resonant and non-resonant interactions among Rossby waves for zonal wavenumbers 1-3 over a wavenumber-two bottom topography (WTBT). Some numerical calculations are made with the fourth-order Rung-Kutta Scheme. It is found that for the case without topographic forcing, the period of three-wave quasi-resonance (TWQR) is found to be in-dependent of the zonal basic westerly wind, but dependent on the meridional wavenumber and the initial amplitudes. For the fixed initial data, when the frequency mismatch is smaller and the meridional wavelength is moderate, its pe-riod will belong to the 30-60-day period band. However, when the wavenumber-two topography is included, the pe-riods of the forced quasi-resonant Rossby waves are also found to be strongly dependent on the setting of the zonal basic westerly wind. Under the same conditions, only when the zonal basic westerly wind reaches a moderate extent, intraseasonal oscillations in the 30-60-day period band can be found for zonal wavenumbers 1-3. On the other hand, if three Rossby waves considered have the same meridional wavenumber, three-wave non-resonant interaction over a WTBT can occur in this case. When the WTBT vanishes, the amplitudes of these Rossby waves are conserved. But in the presence of a WTBT, the three Rossby waves oscillate with the identical period. The period, over a moder-ate range of the zonal basic westerly wind, is in the intraseasonal, 30-60-day range.

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