Changing Coriolis force

Let's do a thought experiment: What if Earth would rotate slower, such that the deflection of airflow would be reduced? With a 24 h day, tropical air can flow out to 30 degrees latitude before it is effectively stopped and moves eastward. As the day lengthens and rotation slows, the latitude to which it could reach increases. Eventually we can imagine a situation in which warm tropical air can flow all the way to the pole, cool there and sink to the surface, to move to the tropics close to the ground - we would have a single cell convection.

Of course, once the rotation of the planet is too slow, the day/night temperature variation in longitude become as large as the irradiation-angle driven variations in latitude and the situation changes yet again, but at least the north/south circulation in the atmosphere of Venus seems to exemplify a single Hadley cell transport.

If we on the other hand imagine speeding up the rotation such that days get shorter, the polewards flow would not even reach to 30 degrees latitude. What might conceivably happen then is that a pattern of multiple zones and belts emerges - in essence direct convection cells where the stable Hadley cell can fit in and meandering jet streams where and unstable Farrel cell would be. This seems to be exemplified by the gas giant atmospheres - with the obvious caveat that these do not show airflow over a solid surface, instead they have an unseen deep circulation. Nevertheless, this is what the simulation assumes.

Controlling the circulation model

Based on planet size and rotation speed, the simulation tries to determine a circulation model. The chosen model is announced at weather init as

Weather initialized with 3 convection cells per hemisphere.
Average number of cyclones per band is 4.000
Average cyclone size is 2502. km

but if the user does not agree with this choice, a different model can be selected. Currently available are (all numbers per Hemisphere):

1: convective transport only with a single Hadley cell
2: Earth-like circulation with a Hadley and Polar cell and jetstream transport between
3: Three Hadley-like cells with two jetstreams separating them
4: Four Hadley-like cells with three jetstreams separating them
In addition there are circulation models that apply to the situation where the equator is not the most irradiated region of a planet, such as a high axis tilt angle or a Helliconia-type binary star system.

An alternative Earth

Let's imagine an alternative version of Earth that rotates at different speed - what would we see? The following config file sets the rotation period to 10 h, enough to produce a different weather pattern with five convection cells.

config
materials materials_earth.cfg
random_seed 1346

input

star
name Sun
mass 1.0
T_surf 5778.0

planet
name Earth
mass 1.0
radius 1.0
semimajor_au 1.0
eccentricity 0.03
inclination 22.0
dec_offset 270.0
rot_period_h 10.0
mean_albedo 0.35
materials_file material_map_earth_hires.cfg
internal_heat 0.86
elements_lat 18
elements_lon 36

atmosphere
h2o 0.5
ch4 0.00018
o3 0.00006
n2 78.08
o2 20.95
ar 0.934
co2 0.04
surface_pressure 1.0

atmosphere_basic
infrared_blocking 0.4275
transport_coeff 1.0

hydrosphere_basic
transport_coeff 1.0
ice_buildup_factor 1.0

weather
mid_cloudlevel_min 0.0
mid_cloudlevel_max 0.4
high_cloudlevel_min 0.0
high_cloudlevel_max 0.4
precipitation_factor 1.0

evolution
evolve_a 2.05
timestep 1000.0

record_global
npoints 100
delay_a 1.0
file earth_Tav_10h.dat
var_x years
var_y temperature

plot_surface
file earth_clouds_10h.dat
var_z low_cloud_cover

end

The resulting low cloud structure shows now two alleys of cyclones per hemisphere and a somewhat different subtropical ridge:

Cloud systems for a multiple-band circulation pattern

An interesting thing happens when we look at the average temperature of the planet - it turns out that in the simulation, a faster rotation of Earth leads to a higher temperature. This is very pronouced at 1.4 years (corresponding to the transition to a different circulation pattern) but already happens at a 15 h rotation period which has the same circulation pattern as the real Earth.

Average temperature as a function of rotation period

On some level this should not be overly surprising, as we have noted earlier that convective clouds tend to cool a planet as they form and increase albedo when irradiation is high but disappear and let IR radiation pass into space when irradiation is low. When the planet rotates faster, the total amount of radiation reaching every spot of the planet is not really changed, but the time is usually no longer sufficient to form convective clouds, so the apparent heating of the planet is chiefly driven by the lack of strong convective cloud development.

Let us now consider another ingredient in weather and circulation as we know it - the existence of the low Troposphere, bounded above by a very stable Stratosphere.

Continue with Vertical atmosphere structure.


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