An Empirical Normal Mode Diagnostic Algorithm Applied to NCEP Reanalyses

Abstract A diagnostic algorithm, based on the empirical normal mode decomposition technique, is proposed as a diagnostic tool in studies of the atmospheric variability. It begins by analyzing the transient eddies in terms of empirical modes that are orthogonal with respect to wave activities. Time-dependent amplitudes together with wave activity spectra are used to classify the modes and compute their propagation properties. The algorithm is applied to a sequence of four Northern Hemisphere winters taken from the National Centers for Environmental Prediction reanalyses, with a focus on the upper troposphere and lower stratosphere, giving a set of empirical modes of wind, pressure, specific volume, and potential vorticity. Results indicate that most of the wave activity is carried by large-scale, eastward-propagating modes centered at middle and high latitudes. Some properties of the leading modes, such as their average phase speeds, are in good agreement with the predictions of linear dynamics. Characteri...

[1]  E. T. Eady,et al.  Long Waves and Cyclone Waves , 1949 .

[2]  J. S. A. Green,et al.  A problem in baroclinic stability , 1960 .

[3]  Michael Selwyn Longuet-Higgins,et al.  The eigenfunctions of Laplace's tidal equation over a sphere , 1968, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[4]  Brian J. Hoskins,et al.  The Steady Linear Response of a Spherical Atmosphere to Thermal and Orographic Forcing , 1981 .

[5]  A. E. Gill Atmosphere-Ocean Dynamics , 1982 .

[6]  Theodore G. Shepherd,et al.  Large-Scale Two-Dimensional Turbulence in the Atmosphere , 1983 .

[7]  David G. Andrews,et al.  A Finite-Amplitude Eliassen-Palm Theorem in Isentropic Coordinates , 1983 .

[8]  D. Andrews A Conservation Law for Small-Amplitude Quasi-Geostrophic Disturbances on a Zonally Asymmetric Basic Flow , 1983 .

[9]  G. North Empirical Orthogonal Functions and Normal Modes , 1984 .

[10]  P. Killworth,et al.  Do Rossby-wave critical layers absorb, reflect, or over-reflect? , 1985, Journal of Fluid Mechanics.

[11]  I. Held Pseudomomentum and the Orthogonality of Modes in Shear Flows , 1985 .

[12]  M. Yen,et al.  Dynamic aspects of the Southern-Hemisphere medium-scale waves during the southern summer season , 1987 .

[13]  Theodore G. Shepherd,et al.  An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems , 1987, Journal of Fluid Mechanics.

[14]  P. Haynes Forced, Dissipative Generalizations of Finite-Amplitude Wave-Activity Conservation Relations for Zonal and Nonzonal Basic Flows , 1988 .

[15]  C. Lin,et al.  Baroclinic instability and the summer southern hemisphere wavenumber 5 circulation , 1989 .

[16]  B. Farrell,et al.  Upper-Tropospheric Synoptic-Scale Waves. Part I: Maintenance as Eady Normal Modes. , 1992 .

[17]  Lawrence Sirovich,et al.  Management and Analysis of Large Scientific Datasets , 1992 .

[18]  Upper-Tropospheric Synoptic-Scale Waves. Part II: Maintenance and Excitation of Quasi Modes , 1992 .

[19]  Gilbert Brunet,et al.  Empirical normal-mode analysis of atmospheric data , 1994 .

[20]  G. Brunet,et al.  Low-Latitude Reflection of Rossby Wave Trains , 1996 .

[21]  Robert Vautard,et al.  Empirical Normal Modes versus Empirical Orthogonal Functions for Statistical Prediction , 1996 .

[22]  R. Vautard,et al.  On the maintenance of potential vorticity in isentropic coordinates , 1997 .

[23]  G. Brunet,et al.  Gravity Wave Diagnosis Using Empirical Normal Modes , 1999 .

[24]  P. Haynes,et al.  Reflection of Planetary Waves in Three-Dimensional Tropospheric Flows , 1999 .

[25]  A. Zadra,et al.  Empirical Normal Mode Diagnostic Study of the GEM Model's Dynamical Core , 2002 .