Building a simple Climate Model. Some relevant data.

Building a simple Climate Model

Some relevant data

A simple Earth

Heating rate

TE

A simple Earth

Heating rate

TE

Albedo

Absorbed solar

Complete the system diagram

• { INITIALIZATION EQUATIONS }• : s Surface_Temperature = 300• : c Albedo = .3• : f Solar_Energy_in = (1-Albedo)*1365/4• : f Cooling = 5.67e-8*Surface_Temperature^4• • { RUNTIME EQUATIONS }• : s Surface_Temperature(t) = Surface_Temperature(t - dt) +

(Solar_Energy_in - Cooling) * dt• : f Solar_Energy_in = (1-Albedo)*1365/4• : f Cooling = 5.67e-8*Surface_Temperature^4

What about time delay?

• { INITIALIZATION EQUATIONS }• : s Surface_Temperature = 300• : c specific_Heat_Capacity = 4186• : c depth = 100• : c density = 1020• : c Net_Heat_Capacity = specific_Heat_Capacity*depth*density/3.15e7• : c Albedo = .3• : f Solar_Energy_in = (1-Albedo)*1365/4/Net_Heat_Capacity• : f Cooling = 5.67e-8*Surface_Temperature^4/Net_Heat_Capacity• • { RUNTIME EQUATIONS }• : s Surface_Temperature(t) = Surface_Temperature(t - dt) + (Solar_Energy_in - Cooling) * dt• : c Net_Heat_Capacity = specific_Heat_Capacity*depth*density/3.15e7• : f Solar_Energy_in = (1-Albedo)*1365/4/Net_Heat_Capacity• : f Cooling = 5.67e-8*Surface_Temperature^4/Net_Heat_Capacity

The Moon (has no atmosphere nor ocean

The Moon{ INITIALIZATION EQUATIONS }: s Surface_Temperature = 300: c specific_Heat_Capacity = 1000: c depth = .2: c density = 3000: c Net_Heat_Capacity = specific_Heat_Capacity*depth*density/86400: c So = 1365*sin(2*pi*time/29.5): c Albedo = .00 ***** This may be Low ******: f Solar_Energy_in = if(So>0) then (1-Albedo)*So/Net_Heat_Capacity else 0: f Cooling = 5.67e-8*Surface_Temperature^4/Net_Heat_Capacity{ RUNTIME EQUATIONS }: s Surface_Temperature(t) = Surface_Temperature(t - dt) + (Solar_Energy_in - Cooling) * dt: c Net_Heat_Capacity = specific_Heat_Capacity*depth*density/86400: c So = 1365*sin(2*pi*time/29.5): f Solar_Energy_in = if(So>0) then (1-Albedo)*So/Net_Heat_Capacity else 0: f Cooling = 5.67e-8*Surface_Temperature^4/Net_Heat_Capacity

The Moon