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A Model of Atmospheric Circulation

​
time t
10.
cross-latitude heating contrast F
7.
ocean-continents heating contrast G
4.
angular frequency ω
0.1
This Demonstration illustrates a mathematical model of atmospheric circulation, represented by the equations:
dx
dt
=-
2
y
-
2
z
-ax+aFcos(ωt)
,
dy
dt
=xy-bxz-y+bGcos(ωt)
,
dz
dt
=bxy+xz-z
,
with initial conditions
x(0)=y(0)=z(0)=1
,
Here
t
represents time,
x
stands for the strength of the symmetric, globally averaged westerly wind current, and
y
and
z
are the cosine and sine phases of a chain of superposed waves transporting heat toward the poles.
F
and
G
are thermal forcings:
F
is the symmetric cross-latitude heating contrast and
G
accounts for the asymmetric heating contrast between oceans and continents;
ω
is the angular frequency. The parameters of interest are the thermal forcings and their angular frequency; the values of the parameters
a
and
b
are set to 20 and 18.
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