diff --git a/PE_CBL.py b/PE_CBL.py index f87cf84c88bad6083e598e1cfed4fc1a6b6c4135..20daccf1c0418fd455ca9295594d42de5b1f68cc 100644 --- a/PE_CBL.py +++ b/PE_CBL.py @@ -19,6 +19,9 @@ if __name__ == '__main__': sigma_o_gn = 0.0 # set equal to sigma_o_as in experiments C and F sigma_o_as = 0.1 # increased by a factor 10 in experiments C and F + # Initiate a random number generator with preset seed, to ensure reproducibility + RNG = np.random.default_rng(seed=181612) + # Default CBL model settings default_cbl_settings ={ # Physical parameters @@ -49,14 +52,15 @@ if __name__ == '__main__': # Part 1: perturbation of initial state # perturbation_type can be "smooth", "random", "uniform" # the adjective refers to vertical variability + 'RNG' : RNG, 'perturb_ensemble_state' : True, - 'perturbations_type' : "uniform", + 'perturbations_type' : "smooth", 'perturbations_theta_amplitude' : sigma_b_init, 'perturbations_uv_amplitude' : 0.1, 'perturbations_smooth_number' : 11, 'perturbations_symmetric' : True, 'simulate_error_growth' : False, - 'error_growth_perturbations_amplitude' : 0.5, + 'error_growth_perturbations_amplitude' : 0.0, # Part 2: perturbation of parameters 'perturb_ensemble_parameters' : True, 'parameter_number' : 1, @@ -83,6 +87,7 @@ if __name__ == '__main__': 'nens' : nens, 'FILTER' : 'EAKF', 'inflation_rtps_alpha' : 0.2, + 'RNG' : RNG } # Safety check on time steps @@ -497,8 +502,10 @@ if __name__ == '__main__': cbl_settings_D['perturbations_theta_amplitude'] = sigma_b_init*10 cbl_settings_D['Hmax'] = 0.15 cbl_settings_D['is_cgrad'] = False + cbl_settings_D['simulate_error_growth'] = True + cbl_settings_D['error_growth_perturbations_amplitude'] = sigma_b_init*5 da_settings_D['cbl_settings'] = cbl_settings_D - da_settings_D['obs_error_sdev_generate'] = np.ones(nobs)*sigma_o_as*10 + da_settings_D['obs_error_sdev_generate'] = np.ones(nobs)*sigma_o_as*5 da_settings_D['obs_error_sdev_assimilate'] = np.ones(nobs)*sigma_o_as*10 # Run @@ -544,65 +551,6 @@ if __name__ == '__main__': if fig06: - # Create a copy of the default settings - cbl_settings_E = dict(default_cbl_settings) - da_settings_E = dict(default_da_settings) - - # Change settings as necessary - # Changes include generation of observations, so the existing nature run - # can't be reused. - cbl_settings_E['initial_perturbed_parameters'] = exp_A.da.initial_perturbed_parameters - cbl_settings_E['perturbations_theta_amplitude'] = sigma_b_init*10 - cbl_settings_E['Hmax'] = 0.15 - cbl_settings_E['simulate_error_growth'] = True - cbl_settings_E['is_cgrad'] = False - da_settings_E['cbl_settings'] = cbl_settings_E - da_settings_E['obs_error_sdev_generate'] = np.ones(nobs)*sigma_o_as*10 - da_settings_E['obs_error_sdev_assimilate'] = np.ones(nobs)*sigma_o_as*10 - - # Run - exp_E = experiment(da_settings_E) - setattr(exp_E,'label','E') - - # Run the corresponding experiment without parameter estimation - cbl_settings_E_noPE = dict(cbl_settings_E) - da_settings_E_noPE = dict(da_settings_E) - cbl_settings_E_noPE['do_parameter_estimation'] = False - da_settings_E_noPE['cbl_settings'] = cbl_settings_E_noPE - exp_E_noPE = experiment(da_settings_E_noPE) - - # Save experiments to disk - pickle.dump(exp_E, open('exp_E.pickle', 'wb')) - pickle.dump(exp_E_noPE, open('exp_E_noPE.pickle', 'wb')) - - # Make plots - fig, [[ax0, ax1],[ax2,ax3]] = p.subplots(2,2,constrained_layout=True) - fig.set_size_inches(6,6) - # - [ax0,ax1,ax2],c0,c1,c2 = plot_CBL_identifiability(exp_E,da_settings_E['obs_error_sdev_assimilate'][0],None,ax=[ax0,ax1,ax2]) - ax0.set_title(r'a) Exp. E, cov($p,y_b}$) (K)') - ax0.set_xlabel('Time (h)') - ax0.set_ylabel('Height (m)') - ax1.set_title(r'b) Exp. E, $\sigma^2_{y^b}}$ (K)') - ax1.set_xlabel('Time (h)') - ax1.set_ylabel('Height (m)') - ax2.set_title(r'c) Exp. E, $K_{p,y_b}$ (K$^{-1}$)') - ax2.set_xlabel('Time (h)') - ax2.set_ylabel('Height (m)') - ax3 = plot_CBL_PE(exp_E,None,ax=ax3) - ax3.set_title(r'd) Exp. E, evolution of $p$') - ax3.set_xlabel('Time (h)') - ax3.set_yticks([0,1,2,3,4,5]) - p.colorbar(c0,orientation='horizontal') - p.colorbar(c1,orientation='horizontal') - p.colorbar(c2,orientation='horizontal') - # - - fig.savefig('fig06.png',format='png',dpi=300) - p.close(fig) - - if fig07: - def plotfig(exprange,filename): fig, [ax1, ax2, ax3] = p.subplots(1,3,constrained_layout=True) fig.set_size_inches(8,3) @@ -653,15 +601,14 @@ if __name__ == '__main__': exp_C3_noPE = pickle.load(open("exp_C3_noPE.pickle", "rb")) exp_D_noPE = pickle.load(open("exp_D_noPE.pickle", "rb")) - experiments_1 = [exp_A,exp_B1,exp_B2,exp_B3,exp_C1,exp_C2,exp_C3,exp_D,exp_E] - experiments_2 = [exp_A_noPE,exp_B1_noPE,exp_B2_noPE,exp_B3_noPE,exp_C1_noPE,exp_C2_noPE,exp_C3_noPE,exp_D_noPE,exp_E_noPE] - labels = ["Exp. A","Exp. B1","Exp. B2","Exp. B3","Exp. C1","Exp. C2","Exp. C3", "Exp. D", "Exp. E"] + experiments_1 = [exp_A,exp_B1,exp_B2,exp_B3,exp_C1,exp_C2,exp_C3,exp_D] + experiments_2 = [exp_A_noPE,exp_B1_noPE,exp_B2_noPE,exp_B3_noPE,exp_C1_noPE,exp_C2_noPE,exp_C3_noPE,exp_D_noPE] + labels = ["Exp. A","Exp. B1","Exp. B2","Exp. B3","Exp. C1","Exp. C2","Exp. C3", "Exp. D"] linecolors = p.rcParams['axes.prop_cycle'].by_key()['color'] - plotfig(range(4), 'fig07a.png') - plotfig(range(4,9),'fig07b.png') + plotfig(range(4), 'fig06.png') - if fig08: + if fig07: exp_C2 = pickle.load(open("exp_C2.pickle", "rb")) exp_C3 = pickle.load(open("exp_C3.pickle", "rb")) @@ -687,7 +634,7 @@ if __name__ == '__main__': p.colorbar(c1,orientation='horizontal') p.colorbar(c2,orientation='horizontal') # - fig.savefig('fig08.png',format='png',dpi=300) + fig.savefig('fig07.png',format='png',dpi=300) p.close(fig) if opt01: