1. Introduction
2. Physical concept
3. Dispersion relation (for shallow water system)
Rossby waves
Jin and Hoskins (1995)
Rossby waves
Stationary waves
Pacific North American (PNA) pattern from JISAO (U. Washington)
wave Source
Forced Rossby waves
Warm Arctic Cold Eurasian (WACE) Pattern
Kim et al. (2014)
Rossby waves
Stationary waves
(Charney and Eliasson, 1949 Tellus
figure from Held,1983 )
Rossby waves
Transient waves
Rossby waves
(From S. Sörlin 2015, A Tribute to the Memory of Carl-Gustaf Rossby, 1898-1957
Royal Swedish Academy of Engineering Sciences)
Physical concept
Topographic Rossby wave
Holton (2004)
D
Dt ( ζ + f
h ) = 0
Physical concept
High PV
Low
Physical concept
Physical concept
High PV
Low
Physical concept
When
dq/dy > 0
High PV
Low
Intrinsic phases speed is easterly when dq/dy > 0
Dispersion relation ω = ω(k, l, m)
For shallow water system, PV equation
Barotropic PV equation (in β-plane) D
Dt ( ζ + f
h ) = 0
D
Dt ( ζ + f ) = 0
(from Atmosphere, Weather and Climate)
High%PV%
Low%PV%
(,)%.ve%PV%anomaly%
% %=>%an.cyclonic%circ.%%
(+)%.ve%PV%anomaly%%
%=>%cyclonic%circ.%%
Wave%propaga.on%
Newly%displaced%parcels%
%by%induced%circula.on%
Dispersion relation ω = ω(k, l, m)
(from Atmosphere, Weather and Climate)
High%PV%
Low%PV%
(,)%.ve%PV%anomaly%
% %=>%an.cyclonic%circ.%%
(+)%.ve%PV%anomaly%%
%=>%cyclonic%circ.%%
Wave%propaga.on%
Newly%displaced%parcels%
%by%induced%circula.on%
