File:Gliese 12 b temperature if fast rotating ocean planet 1.png
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editDescriptionGliese 12 b temperature if fast rotating ocean planet 1.png |
English: Gliese 12 b temperature if fast rotating ocean planet |
Date | |
Source | Own work |
Author | Merikanto |
This image is based on Climlab.
https://github.com/climlab/climlab
https://climlab.readthedocs.io/en/latest/
Python3 Climlab source code
import math
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import cm
import climlab
from climlab import constants as const
from climlab.process.diagnostic import DiagnosticProcess
from climlab.domain.field import Field, global_mean
from scipy.interpolate import griddata
from skimage.transform import resize
numyears=30 ##n no function
numlat=18
numlev=6
plotvar=0 ## 1,2,3 lot temp, ice, mean albedo
waterdepth=20
- S1=1365.2*1
au1=1.00
Sk=1/math.pow(au1,2) ## relative sun constant to Earth now
Sk=1.65
S1=1361.5*Sk
- ecc=0.0167643,
- long_peri=280.32687
- obliquity=23.459277
ecc=0.2
long_peri=0
obliquity=0
- co2=280 ##co2 amount ppmv
co2=280
diffu1=0.3 # meridional diffusivity in m**2/s
albedo0=0.28
- orbit={'ecc': 0.0167643, 'long_peri': 280.32687, 'obliquity': 23.459277, 'S0':S1}
orbit={'ecc': ecc, 'long_peri': long_peri, 'obliquity': obliquity, 'S0':S1}
class tanalbedo(DiagnosticProcess):
def __init__(self, **kwargs):
super(tanalbedo, self).__init__(**kwargs)
self.add_diagnostic('albedo')
Ts = self.state['Ts']
self._compute_fixed()
def _compute_fixed(self):
Ts = self.state['Ts']
try:
lon, lat = np.meshgrid(self.lon, self.lat)
except:
lat = self.lat
phi = lat
try:
albedo=np.zeros(len(phi));
albedo=0.42-0.20*np.tanh(0.052*(Ts-3))
except:
albedo = np.zeros_like(phi)
dom = next(iter(self.domains.values()))
self.albedo = Field(albedo, domain=dom)
def _compute(self):
self._compute_fixed()
return {}
- creating EBM model
- ebm= climlab.EBM(CO2=co2,orbit={'ecc': 0.0167643, 'long_peri': 280.32687, 'obliquity': 23.459277, 'S0':S1})
- ebm0= climlab.EBM_seasonal(water_depth=10.0, a0=0.3, num_lat=90, lum_lon=None, num_lev=10,num_lon=None
- , orbit=orbit)
ebm0= climlab.EBM_seasonal(water_depth=waterdepth, a0=albedo0, num_lat=numlat, lum_lon=None, num_lev=numlev,num_lon=None
, orb=orbit)
ebm=climlab.process_like(ebm0)
- ebm.step_forward()
- print(ebm.diagnostics)
- quit(-1)
surface = ebm.domains['Ts']
- define new insolation and SW process
ebm.remove_subprocess('insolation')
insolation = climlab.radiation.DailyInsolation(domains=surface, **ebm.param)
insolation.S0=S1
- sun = climlab.radiation.DailyInsolation(domains=model.Ts.domain)
ebm.add_subprocess('insolation', insolation)
- ebm.step_forward()
- print(insolation.diagnostics)
- print (insolation.insolation)
- print (np.max(insolation.insolation))
- print(insolation.S0)
- quit(-1)
ebm.remove_subprocess('albedo')
alb = climlab.surface.albedo.StepFunctionAlbedo(state=ebm.state, Tf=-10, **ebm.param)
- alb = climlab.surface.albedo.StepFunctionAlbedo(state=ebm.state, Tf=-20, **ebm.param)
- alb = climlab.surface.albedo.ConstantAlbedo(domains=surface, **ebm.param)
- alb = tanalbedo(state=ebm.state, **ebm.param)
ebm.add_subprocess('albedo', alb)
ebm.remove_subprocess('SW')
SW = climlab.radiation.absorbed_shorwave.SimpleAbsorbedShortwave(insolation=insolation.insolation, state = ebm.state, albedo = alb.albedo, **ebm.param)
ebm.add_subprocess('SW', SW)
ebm.remove_subprocess('LW')
LW = climlab.radiation.aplusbt.AplusBT_CO2(CO2=co2,state=ebm.state, **ebm.param)
ebm.add_subprocess('LW', LW)
- print(SW.diagnostics)
- quit(-1)
- ebm.CO2=co2
ebm.remove_subprocess('diffusion')
D=diffu1
- meridional diffusivity in m**2/s
- K = D / ebm.Tatm.domain.heat_capacity * const.a**2
K= D/ 700* const.a**2
diff = climlab.dynamics.MeridionalMoistDiffusion(state=ebm.state, timestep=ebm.timestep)
ebm.add_subprocess('diffusion', diff)
- print (ebm)
ebm.step_forward()
- ebm.diagnostics
- ebm.integrate_years(numyears)
- ebm.integrate_years(1)
ebm.integrate_converge()
- print(ebm.Ts)
- plt.plot(ebm.Ts)
- plt.show()
num_steps_per_year = int(ebm.time['num_steps_per_year'])
mean_year = np.empty(num_steps_per_year)
for m in range(num_steps_per_year):
ebm.step_forward()
mean_year[m] = ebm.global_mean_temperature()
Tmean_year = np.mean(mean_year)
print(round(Tmean_year,2))
if(plotvar==0):
num_steps_per_year = int(ebm.time['num_steps_per_year'])
Tyear = np.empty((ebm.lat.size, num_steps_per_year))
for m in range(num_steps_per_year):
ebm.step_forward()
Tyear[:,m] = np.squeeze(ebm.Ts)
Tmin=round(np.min(Tyear),1)
Tmax=round(np.max(Tyear),1)
#Tmean=round( np.mean(Tyear),1)
tmeans1=np.mean(Tyear, axis=1)
#print (ebm.lat)
latrads1=np.radians(ebm.lat)
latcoeffs1=np.power(np.cos(latrads1),2)
tmeans2=tmeans1*latcoeffs1
Tmean=np.mean(tmeans2)
#print (np.shape(tmeans1))
#quit(-1)
fig = plt.figure(figsize=(5,5))
ax = fig.add_subplot(111)
factor = 365. / num_steps_per_year
cmap1=plt.cm.seismic
cmap1=plt.cm.winter
cmap1=plt.cm.coolwarm
#cmap1=plt.cm.cool_r
#cmap1=plt.cm.cool
#cmap1=cmap1.reversed()
#levels1=[-80,-70,-60,-50,-40,-30]
levels2=[-200,-150,-120,-100,-70,-60,-50,-40,-30,-20,-10,0,5,10,15,20,25,30,35,40,45,50,60,70,80,90,100,105, 110, 115, 120,150,300]
Tyear2 = resize(Tyear, (Tyear.shape[0] *3, Tyear.shape[1]*2),anti_aliasing=True)
ax.imshow(Tyear, origin="lower", extent=[0,360,-90,90], cmap=cmap1, interpolation="bicubic")
#cax = ax.contourf(factor * np.arange(num_steps_per_year),
# ebm.lat, Tyear[:,:],
# cmap=cmap1, vmin=Tmin, vmax=Tmax, antialiased=False, levels=levels2)
cs1 = ax.contour(factor * np.arange(num_steps_per_year), ebm.lat,Tyear[:,:],
origin="lower", extent=[0,360,-90,90], alpha=0.5,
colors='#00005f', vmin=Tmin, vmax=Tmax, levels=levels2)
ax.clabel(cs1, cs1.levels, inline=True, fontsize=14)
#cbar1 = plt.colorbar(cax)
title1='Temperatures degC of planet, if ecc='+str(round(ecc,3))++str(round(long_peri,2))+' and obliquity='+str(round(obliquity,2))+' deg \n if S0= '+ str(round(S1,1)) +' W m-2 , pressure of CO2= '+str(round(co2,2))+' ppm volume'
title2="\nTemperature deg C: min "+str(round(Tmin,2))+" max "+str(round(Tmax,2))+" mean "+str(round(Tmean,2))
#ax.set_suptitle(title1, fontsize=12)
ax.set_title(title1+title2, fontsize=11)
ax.tick_params(axis='x', labelsize=12)
ax.tick_params(axis='y', labelsize=12)
ax.set_xlabel('Days of year', fontsize=13)
ax.set_ylabel('Latitude', fontsize=13)
plt.savefig('1000dpi.svg', dpi=1000)
if(plotvar==1):
if 'Tf' in ebm.subprocess['albedo'].param.keys():
Tf = ebm.subprocess['albedo'].param['Tf']
else:
print('No ice considered in this model. Can not plot.')
num_steps_per_year = int(ebm.time['num_steps_per_year'])
ice_year = np.empty((ebm.lat.size, num_steps_per_year))
for m in range(num_steps_per_year):
ebm.step_forward()
ice_year[:,m] = np.where(np.squeeze(ebm.Ts) <= Tf, 0, 1)
fig = plt.figure(figsize=(5,5))
ax = fig.add_subplot(111)
factor = 365. / num_steps_per_year
cax = ax.contourf(factor * np.arange(num_steps_per_year),
ebm.lat, ice_year[:,:],
cmap=plt.cm.seismic, vmin=0, vmax=1, levels=2)
cbar1 = plt.colorbar(cax)
ax.set_title('Ice throughout the year', fontsize=14)
ax.set_xlabel('Days of year', fontsize=14)
ax.set_ylabel('Latitude', fontsize=14)
if(plotvar==2):
fig = plt.figure(figsize=(7.5,5))
# Temperature plot
ax2 = fig.add_subplot(111)
ax2.plot(ebm.lat,ebm.albedo)
ax2.set_title('Albedo', fontsize=14)
ax2.set_xlabel('latitude', fontsize=10)
ax2.set_ylabel(, fontsize=12)
ax2.set_xticks([-120,-100,-90,-60,-30,0,30,60,90,100,105,110, 120,150])
ax2.set_xlim([-90,90])
ax2.set_ylim([0,1])
ax2.grid()
plt.show()
plt.suptitle("Gliese-12 b")
plt.title("Temperature deg C")
plt.legend()
plt.show()
Licensing
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