https://doi.org/10.5281/zenodo.3716321
qgs_maooam.py
#!/usr/bin/env python
# coding: utf-8
# ## Coupled ocean-atmosphere model version
# This model version is a 2-layer channel QG atmosphere truncated at wavenumber 2 coupled, both by friction
# and heat exchange, to a shallow water ocean with 8 modes.
#
# More detail can be found in the articles:
#
# * Vannitsem, S., Demaeyer, J., De Cruz, L., & Ghil, M. (2015). Low-frequency variability and heat
# transport in a low-order nonlinear coupled ocean–atmosphere model. Physica D: Nonlinear Phenomena, 309, 71-85.
# * De Cruz, L., Demaeyer, J., and Vannitsem, S.: The Modular Arbitrary-Order Ocean-Atmosphere Model:
# MAOOAM v1.0, Geosci. Model Dev., 9, 2793–2808, 2016.
#
# ## Modules import
import numpy as np
import sys
import time
from multiprocessing import freeze_support, get_start_method
# Importing the model's modules
from qgs.params.params import QgParams
from qgs.integrators.integrator import RungeKuttaIntegrator
from qgs.functions.tendencies import create_tendencies
# Initializing the random number generator (for reproducibility). -- Disable if needed.
np.random.seed(21217)
if __name__ == "__main__":
if get_start_method() == "spawn":
freeze_support()
print_parameters = True
def print_progress(p):
sys.stdout.write('Progress {:.2%} \r'.format(p))
sys.stdout.flush()
class Bcolors:
"""to color the instructions in the console"""
HEADER = '\033[95m'
OKBLUE = '\033[94m'
OKGREEN = '\033[92m'
WARNING = '\033[93m'
FAIL = '\033[91m'
ENDC = '\033[0m'
BOLD = '\033[1m'
UNDERLINE = '\033[4m'
print("\n" + Bcolors.HEADER + Bcolors.BOLD + "Model qgs v1.0.0 (Atmosphere + ocean (MAOOAM) configuration)" + Bcolors.ENDC)
print(Bcolors.HEADER + "============================================================" + Bcolors.ENDC + "\n")
print(Bcolors.OKBLUE + "Initialization ..." + Bcolors.ENDC)
# ## Systems definition
# General parameters
# Time parameters
dt = 0.1
# Saving the model state n steps
write_steps = 100
# transient time to attractor
transient_time = 3.e6
# integration time on the attractor
integration_time = 5.e5
# file where to write the output
filename = "evol_fields.dat"
T = time.process_time()
# Setting some model parameters
# Model parameters instantiation with default specs
model_parameters = QgParams()
# Mode truncation at the wavenumber 2 in both x and y spatial coordinate
model_parameters.set_atmospheric_channel_fourier_modes(2, 2)
# Mode truncation at the wavenumber 2 in the x and at the
# wavenumber 4 in the y spatial coordinates for the ocean
model_parameters.set_oceanic_basin_fourier_modes(2, 4)
# Setting MAOOAM parameters according to the publication linked above
model_parameters.set_params({'kd': 0.0290, 'kdp': 0.0290, 'n': 1.5, 'r': 1.e-7,
'h': 136.5, 'd': 1.1e-7})
model_parameters.atemperature_params.set_params({'eps': 0.7, 'T0': 289.3, 'hlambda': 15.06, })
model_parameters.gotemperature_params.set_params({'gamma': 5.6e8, 'T0': 301.46})
model_parameters.atemperature_params.set_insolation(103.3333, 0)
model_parameters.gotemperature_params.set_insolation(310., 0)
if print_parameters:
print("")
# Printing the model's parameters
model_parameters.print_params()
# Creating the tendencies functions
f, Df = create_tendencies(model_parameters)
# ## Time integration
# Defining an integrator
integrator = RungeKuttaIntegrator()
integrator.set_func(f)
# Start on a random initial condition
ic = np.random.rand(model_parameters.ndim)*0.01
# Integrate over a transient time to obtain an initial condition on the attractors
print(Bcolors.OKBLUE + "Starting a transient time integration..." + Bcolors.ENDC)
ws = 10000
y = ic
total_time = 0.
t_up = ws * dt / integration_time * 100
while total_time < transient_time:
integrator.integrate(0., ws * dt, dt, ic=y, write_steps=0)
t, y = integrator.get_trajectories()
total_time += t
if total_time/transient_time * 100 % 0.1 < t_up:
print_progress(total_time/transient_time)
# Now integrate to obtain a trajectory on the attractor
total_time = 0.
traj = np.insert(y, 0, total_time)
traj = traj[np.newaxis, ...]
t_up = write_steps * dt / integration_time * 100
print(Bcolors.OKBLUE + "Starting the time evolution ..." + Bcolors.ENDC)
while total_time < integration_time:
integrator.integrate(0., write_steps * dt, dt, ic=y, write_steps=0)
t, y = integrator.get_trajectories()
total_time += t
ty = np.insert(y, 0, total_time)
traj = np.concatenate((traj, ty[np.newaxis, ...]))
if total_time/integration_time*100 % 0.1 < t_up:
print_progress(total_time/integration_time)
print(Bcolors.OKGREEN + "Evolution finished, writing to file " + filename + Bcolors.ENDC)
np.savetxt(filename, traj)
print(Bcolors.OKGREEN + "Time clock :" + Bcolors.ENDC)
print(str(time.process_time()-T)+' seconds')