# The Importance of the Nontraditional Coriolis Terms in Large-Scale Motions in the Tropics Forced by Prescribed Cumulus Heating

@article{Hayashi2012TheIO, title={The Importance of the Nontraditional Coriolis Terms in Large-Scale Motions in the Tropics Forced by Prescribed Cumulus Heating}, author={Michiya Hayashi and Hisanori Itoh}, journal={Journal of the Atmospheric Sciences}, year={2012}, volume={69}, pages={2699-2716} }

AbstractIn meteorological dynamics, the shallow-atmosphere approximation is generally used in the momentum equation, together with the “traditional approximation.” In the traditional approximation, two cosine Coriolis terms [hereafter called nontraditional Coriolis terms (NCTs)] and some metric terms are omitted. However, some studies have suggested that the omission of the NCTs may not be appropriate for conditions near the equator. Therefore, this paper investigates the effect of the NCTs on… Expand

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#### References

SHOWING 1-10 OF 28 REFERENCES

Dynamically consistent, quasi-hydrostatic equations for global models with a complete representation of the Coriolis force

- Mathematics
- 1995

The spherical polar components of the Coriolis force consist of terms in sin ϕ and terms in cos ϕ, where ϕ is latitude (referred to the frame-rotation vector as polar axis). The cos ϕ Coriolis terms… Expand

On the Nonhydrostatic Atmospheric Models with Inclusion of the Horizontal Component of the Earth’s Angular Velocity

- Physics
- 2003

Two nonhydrostatic effects that have been neglected traditionally in the hydrostatic primitiveequation models are studied in this article. One such effect is due to the vertical acceleration in the… Expand

Nonlinear effects on heat‐induced circulation of the tropical atmosphere

- Physics
- 1986

A nonlinear model of the atmospheric response to an isolated region of heating centred on the equator is constructed by expanding in a small amplitude parameter. In order to emphasize nonlinear… Expand

Geophysical and astrophysical fluid dynamics beyond the traditional approximation

- Physics
- 2008

[1] In studies on geophysical fluid dynamics, it is common practice to take the Coriolis force only partially into account by neglecting the components proportional to the cosine of latitude, the… Expand

Consistent approximate models of the global atmosphere: shallow, deep, hydrostatic, quasi-hydrostatic and non-hydrostatic

- Physics
- 2005

We study global atmosphere models that are at least as accurate as the hydrostatic primitive equations (HPEs), reviewing known results and reporting some new ones. The HPEs make spherical… Expand

Description of Global-Scale Circulation Cells in the Tropics with a 40–50 Day Period

- Geology
- 1972

Abstract Long time series (5–10 years) of station pressure and upper air data from stations located in the tropics are subjected to spectral and cross-spectral analysis to investigate the spatial… Expand

Effect of SST Distribution and Radiative Feedbacks on the Simulation of Intraseasonal Variability in

- Environmental Science
- 2011

An aquaplanet atmospheric general circulation model with prescribed sea surface temperatures (SST) is used to provide insight on tropical intraseasonal variability. Previous work showed that a… Expand

Intraseasonal Variability in an Aquaplanet General Circulation Model

- Environmental Science
- 2010

[1] An aquaplanet atmospheric general circulation model simulation with a robust intraseasonal oscillation is analyzed. The SST boundary condition resembles the observed December-April average with… Expand

Madden‐Julian Oscillation

- Environmental Science
- 2005

[1] The Madden-Julian Oscillation (MJO) is the dominant component of the intraseasonal (30–90 days) variability in the tropical atmosphere. It consists of large-scale coupled patterns in atmospheric… Expand

Symmetric Stability of Zonal Flow under Full-Component Coriolis Force —Effect of the Horizontal Component of the Planetary Vorticity—

- Physics
- 2009

The effect of the horizontal component fH of the planetary vorticity on the symmetric stability of zonal flow is investigated using the linearized Boussinesq equations on the f -plane. It is shown… Expand