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
The Nontraditional Coriolis Terms and Tropical Convective Clouds
The full, three-dimensional Coriolis force includes the familiar sine-of-latitude terms as well as frequently dropped cosine-of-latitude terms [nontraditional Coriolis terms (NCT)]. The latter areExpand
Linear effects of nontraditional Coriolis terms on intertropical convergence zone forced large‐scale flow
  • H. Ong, P. Roundy
  • Geology, Physics
  • Quarterly Journal of the Royal Meteorological Society
  • 2019
This paper promotes a measure to validate the hydrostatic approximation via scaling the nontraditional Coriolis term (NCT) in the zonal momentum equation. To demonstrate the scaling, this studyExpand
Nontraditional hypsometric equation
This study corrects the hypsometric equation by restoring the nontraditional terms to relax the hydrostatic approximation. The nontraditional terms include one Coriolis term and two metric terms inExpand
Anelastic equatorial waves with the complete Coriolis terms
This study derives a complete set of equatorially confined wave solutions from an anelastic equation set with the complete Coriolis terms, which include both the vertical and meridional planetaryExpand
Symmetric and asymmetric inertial instability of zonal jets on the $f$ -plane with complete Coriolis force
Symmetric and asymmetric inertial instability of the westerly mid-latitude barotropic Bickley jet is analysed without the traditional approximation which neglects the vertical component of theExpand
A Fully Compressible Nonhydrostatic Deep-Atmosphere Equations Solver for MPAS
A solver for the nonhydrostatic deep-atmosphere equations of motion is described that extends the capabilities of the Model for Prediction Across Scales-Atmosphere (MPAS-A) beyond the existingExpand
Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography
Abstract Consistent shallow-water equations are derived on the rotating sphere with topography retaining the Coriolis force due to the horizontal component of the planetary angular velocity. UnlikeExpand
A New Mechanism of the Slow Eastward Propagation of Unstable Disturbances with Convection in the Tropics: Implications for the MJO
AbstractTo understand the slow eastward propagation of the Madden–Julian oscillation (MJO), the authors propose a new mechanism of slow eastward propagation of an unstable disturbance [slowExpand
Dynamically consistent shallow‐atmosphere equations with a complete Coriolis force
Shallow-atmosphere equations retaining both the vertical and horizontal components of the Coriolis force (the latter being neglected in the traditional approximation) are obtained. The derivationExpand
Energy-conserving finite-difference schemes for quasi-hydrostatic equations
The pressure-based hydrostatic primitive equations model LMD-Z is extended to solve the quasi-hydrostatic deep-atmosphere as well as the non-traditional shallow-atmosphere equations (with a completeExpand
...
1
2
...

References

SHOWING 1-10 OF 28 REFERENCES
Dynamically consistent, quasi-hydrostatic equations for global models with a complete representation of the Coriolis force
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 termsExpand
On the Nonhydrostatic Atmospheric Models with Inclusion of the Horizontal Component of the Earth’s Angular Velocity
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 theExpand
Nonlinear effects on heat‐induced circulation of the tropical atmosphere
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 nonlinearExpand
Geophysical and astrophysical fluid dynamics beyond the traditional approximation
[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, theExpand
Consistent approximate models of the global atmosphere: shallow, deep, hydrostatic, quasi-hydrostatic and non-hydrostatic
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 sphericalExpand
Description of Global-Scale Circulation Cells in the Tropics with a 40–50 Day Period
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 spatialExpand
Effect of SST Distribution and Radiative Feedbacks on the Simulation of Intraseasonal Variability in
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 aExpand
Intraseasonal Variability in an Aquaplanet General Circulation Model
[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 withExpand
Madden‐Julian Oscillation
[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 atmosphericExpand
Symmetric Stability of Zonal Flow under Full-Component Coriolis Force —Effect of the Horizontal Component of the Planetary Vorticity—
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 shownExpand
...
1
2
3
...