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.)

UR - http://www.scopus.com/inward/record.url?scp=85122440747&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85122440747&partnerID=8YFLogxK

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 -