# A Model of Atmospheric Circulation

A Model of Atmospheric Circulation

This Demonstration illustrates a mathematical model of atmospheric circulation, represented by the equations:

dx

dt

2

y

2

z

dy

dt

dz

dt

with initial conditions

x(0)=y(0)=z(0)=1

Here represents time, stands for the strength of the symmetric, globally averaged westerly wind current, and and are the cosine and sine phases of a chain of superposed waves transporting heat toward the poles. and are thermal forcings: is the symmetric cross-latitude heating contrast and accounts for the asymmetric heating contrast between oceans and continents; is the angular frequency. The parameters of interest are the thermal forcings and their angular frequency; the values of the parameters and are set to 20 and 18.

t

x

y

z

F

G

F

G

ω

a

b