A Formulation of Three Dimensional Wave Activity Flux Describing Wave Propagation on the Mass-Weighted Isentropic Time Mean Equation

• Kinoshita Takenari

  National Institute of Information and Communications Technology

• Iwasaki Toshiki

  Tohoku University

• Sato Kaoru

  The University of Tokyo

抄録

The Transformed Eulerian-Mean (TEM) equations derived by D. G. Andrews and M. E. McIntyre are powerful tools for diagnosing the meridional circulation and wave-mean interaction in the troposphere and/or middle atmosphere. However, the TEM equations cannot properly treat the lower boundary and unstable waves. The Mass-weighted Isentropic zonal Mean (MIM) equations derived by T. Iwasaki are the equations that overcome those problems and are recently used for analyzing polar cold air outbreak. On the other hand, the MIM equations have not been extended to three dimensions (3D), especially for wave activity flux, although the TEM equations have been extended by several studies. The present study formulates the 3D wave activity flux describing wave propagation in the mass-weighted isentropic time mean equations. A dispersion relation for inertia-gravity waves and Rossby waves on those equations is also derived and used to relate the 3D wave activity flux to the group velocity. Finally, we use the European Centre for Medium-Range Weather Forecasts (ECMWF) Interim Re-analysis (ERA-Interim) data and report the comparison result of 3D wave activity fluxes between TEM and mass-weighted isentropic time mean equations.

収録刊行物

• SOLA

  SOLA 12 (0), 198-202, 2016

  公益社団法人 日本気象学会

キーワード

• Atmospheric Science

詳細情報

• CRID: 1390001205222838016
• NII論文ID: 130005255018
• DOI: 10.2151/sola.2016-040
• ISSN: 13496476
• Web Site: https://www.jstage.jst.go.jp/article/sola/12/0/12_2016-040/_pdf
• 本文言語コード: en
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