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310/1749-9 ICTP-COST-CAWSES-INAF-INFN International Advanced School on Space Weather 2-19 May 2006 ��������������������������������������������������������������������� Introduction to Middle Atmospheric Dynamics Kevin Peardon HAMILTON Professor and Chair Department of Meteorology, and International Pacific Research Center (IPRC) University of Hawai`i at Manoa Honolulu, HI 96822 USA ___________________________________________________________________________ These lecture notes are intended only for distribution to participants

Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

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Page 1: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

310/1749-9

ICTP-COST-CAWSES-INAF-INFNInternational Advanced School

on Space Weather2-19 May 2006

���������������������������������������������������������������������

Introduction to Middle AtmosphericDynamics

Kevin Peardon HAMILTONProfessor and Chair

Department of Meteorology, andInternational Pacific Research Center (IPRC)

University of Hawai`i at ManoaHonolulu, HI 96822

USA

___________________________________________________________________________These lecture notes are intended only for distribution to participants

310/1749-9

ICTP-COST-CAWSES-INAF-INFNInternational Advanced School

on Space Weather2-19 May 2006

���������������������������������������������������������������������

Introduction to Middle AtmosphericDynamics

Kevin Peardon HAMILTONProfessor and Chair

Department of Meteorology, andInternational Pacific Research Center (IPRC)

University of Hawai`i at ManoaHonolulu, HI 96822

USA

___________________________________________________________________________These lecture notes are intended only for distribution to participants

Page 2: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Introduction to Middle Atmospheric Dynamics

Kevin HamiltonInternational Pacific Research Center, and

Department of MeteorologyUniversity of Hawaii at Manoa

Page 3: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 4: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 5: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 6: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 7: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 8: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Zonal Mean and Eddy Components

" Overall the strongest gradients in circulation are north-south rather than east-west

So we describe circulation as zonal-mean(average around latitude circles) plus eddy(deviations form zonal-mean) components

Zonal-mean circulation consists of generally strong zonal flow and much weaker overturning circulation in the meridional plane (mean meridional circulation, MMC)

Page 9: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Zonal Mean and Eddy Components

" Overall the strongest gradients in circulation are north-south rather than east-west

" So we describe circulation as zonal-mean(average around latitude circles) plus eddy(deviations form zonal-mean) components

Zonal-mean circulation consists of generally strong zonal flow and much weaker overturning circulation in the meridional plane (mean meridional circulation, MMC)

Page 10: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Zonal Mean and Eddy Components

" Overall the strongest gradients in circulation are north-south rather than east-west

" So we describe circulation as zonal-mean(average around latitude circles) plus eddy(deviations form zonal-mean) components

" Zonal-mean circulation consists of generally strong zonal flow and much weaker overturning circulation in the meridional plane (mean meridional circulation, MMC)

Page 11: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 12: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 13: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 14: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 15: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Dominant Balances Determining the MMC

� Write nonlinear advection in terms of eddy flux convergences

� Look for steady state� Consider only dominant terms for extratropical

region

Page 16: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 17: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

"Transformed-Eulerian" Equations

" Define a transformed MMC that is "forced" (mostly) by the diabatic heating

" Effects of eddy fluxes on the zonal mean takes the form of an "Eliassen-Palm (EP) flux divergence

" TE MMC is close to Lagrangian MMC

Page 18: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 19: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 20: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 21: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 22: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 23: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 24: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 25: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 26: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 27: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 28: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 29: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 30: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 31: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 32: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 33: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 34: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 35: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Tropical Middle Atmosphere

Quasi-biennial Oscillation

Semiannual Oscillation

Tropical Effects on Extratropics

Page 36: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 37: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 38: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 39: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 40: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 41: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 42: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Tropical Mean Flow DynamicsNear the equator the eddy forcing of zonal-

mean momentum (EP flux divergence) is not balanced by Coriolis torques, but directly forces mean flow accelerations

Sustained, but self-limiting eddy driven mean flow forcing comes from upward-propagating gravity waves (and related equatorial-planetary waves)

Page 43: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Tropical Mean Flow Dynamics

" Near the equator the eddy forcing of zonal-mean momentum (EP flux divergence) is not balanced by Coriolis torques, but directly forces mean flow accelerations

Sustained, but self-limiting eddy driven mean flow forcing comes from upward-propagating gravity waves (and related equatorial-planetary waves)

Page 44: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific

Tropical Mean Flow Dynamics

" Near the equator the eddy forcing of zonal-mean momentum (EP flux divergence) is not balanced by Coriolis torques, but directly forces mean flow accelerations

" Sustained, but self-limiting eddy driven mean flow forcing comes from upward-propagating gravity waves (and related equatorial-planetary waves)

Page 45: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 46: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 47: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 48: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 49: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 50: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 51: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 52: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific
Page 53: Introduction to Middle Atmospheric Dynamics.indico.ictp.it/.../contribution/73/material/0/1.pdf · Introduction to Middle Atmospheric Dynamics Kevin Hamilton International Pacific