Abstract
A linear anelastic-vortex model is derived using assumptions appropriate to waves on vortices with scales similar to tropical cyclones. The equation set is derived through application of a multiple-scaling technique, such that the radial variations of the thermodynamic fields are incorporated into the reference state. The primary assumption required for the model is that the horizontal variations in the thermodynamic variables describing the reference state are appreciably longer than the waves on the vortex. This new version of the anelastic system makes no approximation to the requirements for hydrostatic and gradient wind balance, or the buoyancy frequency, in the core of the vortex. A small but measurable improvement in the performance of the new equation is demonstrated through simulations of gravity waves and vortex-Rossby waves in a baroclinic vortex.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2947-2959 |
| Number of pages | 13 |
| Journal | Journal of the Atmospheric Sciences |
| Volume | 64 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2007 |
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ASJC Scopus subject areas
- Atmospheric Science
Cite this
Linear anelastic equations for atmospheric vortices. / Hodyss, Daniel; Nolan, David S.
In: Journal of the Atmospheric Sciences, Vol. 64, No. 8, 08.2007, p. 2947-2959.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Linear anelastic equations for atmospheric vortices
AU - Hodyss, Daniel
AU - Nolan, David S
PY - 2007/8
Y1 - 2007/8
N2 - A linear anelastic-vortex model is derived using assumptions appropriate to waves on vortices with scales similar to tropical cyclones. The equation set is derived through application of a multiple-scaling technique, such that the radial variations of the thermodynamic fields are incorporated into the reference state. The primary assumption required for the model is that the horizontal variations in the thermodynamic variables describing the reference state are appreciably longer than the waves on the vortex. This new version of the anelastic system makes no approximation to the requirements for hydrostatic and gradient wind balance, or the buoyancy frequency, in the core of the vortex. A small but measurable improvement in the performance of the new equation is demonstrated through simulations of gravity waves and vortex-Rossby waves in a baroclinic vortex.
AB - A linear anelastic-vortex model is derived using assumptions appropriate to waves on vortices with scales similar to tropical cyclones. The equation set is derived through application of a multiple-scaling technique, such that the radial variations of the thermodynamic fields are incorporated into the reference state. The primary assumption required for the model is that the horizontal variations in the thermodynamic variables describing the reference state are appreciably longer than the waves on the vortex. This new version of the anelastic system makes no approximation to the requirements for hydrostatic and gradient wind balance, or the buoyancy frequency, in the core of the vortex. A small but measurable improvement in the performance of the new equation is demonstrated through simulations of gravity waves and vortex-Rossby waves in a baroclinic vortex.
UR - http://www.scopus.com/inward/record.url?scp=34548181396&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34548181396&partnerID=8YFLogxK
U2 - 10.1175/JAS3991.1
DO - 10.1175/JAS3991.1
M3 - Article
VL - 64
SP - 2947
EP - 2959
JO - Journals of the Atmospheric Sciences
JF - Journals of the Atmospheric Sciences
SN - 0022-4928
IS - 8
ER -