TY - JOUR
T1 - On the Three Dimensional Mass-Weighted Isentropic Time Mean Equation for Rossby Waves
AU - Kinoshita, Takenari
AU - Takaya, Koutarou
AU - Iwasaki, Toshiki
N1 - Funding Information:
We would like to acknowledge Toshihiko Hirooka and anonymous reviewers for helpful suggestions and comments. The present work was partly supported by Grant-in-Aid for Young Scientists No. 18K13616, the Ministry of Education, Culture, Sports, Science and Technology.
Publisher Copyright:
© The Author(s) 2019. This is an open access article published by the Meteorological Society of Japan under a Creative Commons Attribution 4.0 International (CC BY 4.0) license (http://creativecommons.org/license/by/4.0).
PY - 2019
Y1 - 2019
N2 - The mass-weighted isentropic zonal mean (Z-MIM) equations derived by T. Iwasaki are powerful tools for diagnosing meridional circulation and wave-mean interaction, especially for the lower boundary and unstable waves. Recently, some studies have extended the equations to three dimensions by using the time mean instead of the zonal mean. However, the relation between wave activity flux and residual mean flow (not mass-weighed mean flow) is unclear. In the present study, we derive the threedimensional (3D) wave activity flux and residual mean flow for Rossby waves on the mass-weighted isentropic time mean equations. Next, we discuss the relation between the obtained formulae and 3D transformed Eulerian-mean (TEM) equations. (Citation: Kinoshita, T., K. Takaya, and T. Iwasaki, 2019: On the three dimensional mass-weighted isentropic time mean equation for Rossby waves. SOLA, 15, 193−197, doi:10.2151/sola. 2019-035.)
AB - The mass-weighted isentropic zonal mean (Z-MIM) equations derived by T. Iwasaki are powerful tools for diagnosing meridional circulation and wave-mean interaction, especially for the lower boundary and unstable waves. Recently, some studies have extended the equations to three dimensions by using the time mean instead of the zonal mean. However, the relation between wave activity flux and residual mean flow (not mass-weighed mean flow) is unclear. In the present study, we derive the threedimensional (3D) wave activity flux and residual mean flow for Rossby waves on the mass-weighted isentropic time mean equations. Next, we discuss the relation between the obtained formulae and 3D transformed Eulerian-mean (TEM) equations. (Citation: Kinoshita, T., K. Takaya, and T. Iwasaki, 2019: On the three dimensional mass-weighted isentropic time mean equation for Rossby waves. SOLA, 15, 193−197, doi:10.2151/sola. 2019-035.)
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U2 - 10.2151/sola.2019-035
DO - 10.2151/sola.2019-035
M3 - Article
AN - SCOPUS:85122440747
SN - 1349-6476
VL - 15
SP - 193
EP - 197
JO - Scientific Online Letters on the Atmosphere
JF - Scientific Online Letters on the Atmosphere
ER -