1 | from dynamico import getargs |
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2 | getargs.add("--LAM", action='store_true') |
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3 | # Args for global mesh |
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4 | getargs.add("--grid", type=int, help='Number of hexagons', default=2562) |
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5 | # Args for LAM |
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6 | getargs.add("--nx", type=int, help='Zonal dimension of LAM mesh', default=100) |
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7 | getargs.add("--ny", type=int, help='Meridional dimension of LAM mesh', default=100) |
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8 | getargs.add("--dx", type=float, help='Resolution at center of LAM domain', default=1e5) |
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9 | getargs.add("--center_lat", type=float, help='Latitude in degrees of LAM center', default=0.) |
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10 | getargs.add("--Davies_N1", type=int, default=3) |
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11 | getargs.add("--Davies_N2", type=int, default=3) |
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12 | |
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13 | args = getargs.parse() |
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14 | |
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15 | log_master, log_world = getargs.getLogger() |
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16 | INFO, DEBUG, ERROR = log_master.info, log_master.debug, log_world.error |
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17 | |
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18 | INFO('Starting') |
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19 | |
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20 | from mpi4py import MPI |
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21 | comm = MPI.COMM_WORLD |
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22 | mpi_rank, mpi_size = comm.Get_rank(), comm.Get_size() |
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23 | INFO('%d/%d starting'%(mpi_rank,mpi_size)) |
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24 | prefix='fig_RSW2_MPAS_W02/%02d'%mpi_rank |
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25 | |
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26 | INFO('Loading DYNAMICO modules ...') |
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27 | from dynamico.dev import unstructured as unst |
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28 | from dynamico.dev.meshes import MPAS_Format, Unstructured_PMesh as PMesh, Local_Mesh as Mesh |
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29 | from dynamico.dev import meshes |
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30 | from dynamico import time_step |
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31 | from dynamico import maps |
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32 | from dynamico.LAM import Davies |
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33 | |
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34 | print '...Done' |
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35 | |
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36 | print 'Loading modules ...' |
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37 | import math as math |
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38 | import matplotlib.pyplot as plt |
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39 | import numpy as np |
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40 | print '...Done' |
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41 | |
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42 | #--------------------------- functions and classes ----------------------------- |
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43 | |
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44 | class myDavies(Davies): |
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45 | def mask(self,X,Y): |
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46 | # X and Y are coordinates in the reference domain (cell = unit square) |
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47 | # numerical domain extends from -nx/2 ... nx/2 and -ny/2 ... ny/2 |
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48 | # useful domain extends from -X0 ... X0 and -Y0 ... Y0 |
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49 | N3 = args.Davies_N1+args.Davies_N2 |
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50 | X0 = args.nx/2. - N3 |
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51 | Y0 = args.ny/2. - N3 |
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52 | mask = self.mask0( X,X0,1.) # Western boundary |
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53 | mask *= self.mask0(-X,X0,1.) # Eastern boundary |
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54 | mask *= self.mask0( Y,Y0,1.) # Northern boundary |
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55 | mask *= self.mask0(-Y,Y0,1.) # Southern boundary |
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56 | return mask |
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57 | |
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58 | #----------------------------- main program -------------------------------- |
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59 | |
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60 | llm, nqdyn = 1,1 # 2562, 10242, 40962 |
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61 | Omega, radius, g, gh0 = 2.*np.pi/86400., 6.4e6, 1., 2.94e4 |
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62 | N, T, courant = 40, 10400., 1.2 # simulation length = N*T |
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63 | |
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64 | print 'Omega, planetary PV', Omega, 2*Omega/gh0 |
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65 | |
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66 | if args.LAM: |
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67 | nx, ny = args.nx, args.ny |
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68 | filename = 'cart_%03d_%03d.nc'%(nx,ny) |
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69 | INFO('Reading Cartesian mesh ...') |
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70 | meshfile = meshes.DYNAMICO_Format(filename) |
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71 | pmesh = meshes.Unstructured_PMesh(comm,meshfile) |
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72 | pmesh.partition_curvilinear(args.mpi_ni,args.mpi_nj) |
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73 | planet = maps.PolarStereoMap(radius,Omega, args.dx, args.center_lat*np.pi/180.) |
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74 | else: |
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75 | planet = maps.SphereMap(radius, Omega) |
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76 | print 'Reading MPAS mesh ...' |
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77 | meshfile = MPAS_Format('grids/x1.%d.grid.nc'%args.grid) |
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78 | pmesh = PMesh(comm,meshfile) |
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79 | pmesh.partition_metis() |
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80 | |
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81 | mesh = Mesh(pmesh, llm, nqdyn, planet) |
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82 | |
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83 | print '...Done' |
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84 | lon, lat = mesh.lon_i, mesh.lat_i |
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85 | x,y,z = np.cos(lat)*np.cos(lon), np.cos(lat)*np.sin(lon), np.sin(lat) |
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86 | |
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87 | unst.setvar('g',g) |
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88 | |
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89 | c0 = math.sqrt(gh0) # phase speed of barotropic mode |
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90 | dx = mesh.de.min() |
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91 | dt = courant*dx/c0 |
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92 | print dx, dt |
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93 | nt = int(math.ceil(T/dt)) |
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94 | dt = T/nt |
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95 | print dx, dt, dt*c0/dx |
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96 | print T, nt |
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97 | |
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98 | scheme = time_step.RK4(None, dt) |
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99 | print dt, scheme.csjl, scheme.cfjl |
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100 | step = unst.caldyn_step_TRSW(mesh,scheme,1) |
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101 | |
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102 | u0 = Omega*radius/12. # cf Williamson (1991), p.13 |
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103 | gh1 = radius*Omega*u0+.5*u0**2 |
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104 | print 'Williamson (1991) test 2, u0=', u0 |
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105 | ulon = u0*np.cos(mesh.lat_e) |
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106 | |
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107 | gh_ini = gh0 - gh1*(np.sin(mesh.lat_i)**2) |
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108 | u_ini = mesh.ucov2D(ulon,0.*ulon) |
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109 | |
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110 | # unst.ker.dynamico_update_halo(mesh.com_edges.index, 1, u.shape[0], u) |
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111 | |
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112 | if args.LAM: |
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113 | davies = myDavies(args.Davies_N1, args.Davies_N2, |
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114 | mesh.ref_lon_i, mesh.ref_lat_i, mesh.ref_lon_e,mesh.ref_lat_e) |
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115 | def relax(): |
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116 | davies.relax_RSW(llm, step, (gh_ini, u_ini) ) |
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117 | else: |
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118 | def relax(): pass |
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119 | |
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120 | def next_flow(Phi, u): |
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121 | step.mass[:], step.theta_rhodz[:], step.u[:] = Phi, Phi, u |
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122 | for i in range(nt): |
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123 | step.next() |
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124 | relax() |
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125 | return step.mass.copy(), step.u.copy() |
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126 | |
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127 | gh, u = gh_ini, u_ini |
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128 | print gh.shape, gh.min(), gh.max(), u.min(), u.max() |
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129 | |
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130 | for i in range(20): |
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131 | if True: |
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132 | gh, u = next_flow(gh,u) |
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133 | # step.next() |
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134 | # gh,u = step.mass, step.u |
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135 | print i, gh.shape, gh.min(), gh.max(), u.min(), u.max() |
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136 | mesh.plot_i(gh-gh_ini) ; plt.title('err(gh)'); |
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137 | plt.savefig('%s_err_gh_%02d.png'%(prefix,i)) |
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138 | plt.close() |
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139 | else: |
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140 | # advance by one time step using dynamico_ARK |
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141 | gh,u = step.mass.copy(), step.u.copy() |
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142 | print i, gh.shape, gh.min(), gh.max(), u.min(), u.max() |
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143 | step.next() |
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144 | gh_now,u_now = step.mass.copy(), step.u.copy() |
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145 | dmass,dhs,du_slow,du_fast = step.drhodz[:], step.dtheta_rhodz[:], step.du_slow[:], step.du_fast[:] |
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146 | du=du_slow+du_fast |
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147 | |
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148 | # do the same using caldyn, obtain fast/slow tendencies first |
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149 | gh_ref, uref=flow |
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150 | junk, fast, slow = caldyn.bwd_fast_slow(flow,0.) |
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151 | dmass_ref, duslow_ref = slow |
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152 | junk, dufast_ref = fast |
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153 | du_ref = duslow_ref+dufast_ref |
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154 | flow=scheme.next(flow) |
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155 | gh_nowref, u_nowref=flow |
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156 | # mesh.plot_i(gh) ; plt.title('gh'); |
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157 | # mesh.plot_i(Phi0) ; plt.title('gh'); |
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158 | fig = plt.figure(figsize=(6, 8)) |
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159 | f, ((ax1, ax2), (ax3, ax4), (ax5,ax6), (ax7,ax8)) = plt.subplots(4,2) |
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160 | # mesh.plot_i(dmass-dhs) ; plt.title('dt*d(gh)/dt'); |
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161 | ax1.scatter(duslow_ref,du_slow-duslow_ref) ; ax1.set_title('du_slow'); |
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162 | ax2.scatter(dufast_ref,du_fast-dufast_ref) ; ax2.set_title('du_fast'); |
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163 | ax3.scatter(du_ref,du-du_ref) ; ax3.set_title('du'); |
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164 | ax4.scatter(gh_ref,gh-gh_ref) ; ax4.set_title('gh'); |
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165 | ax5.scatter(uref, u-uref) ; ax5.set_title('u'); |
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166 | ax6.scatter(dmass_ref,dmass-dmass_ref) ; ax6.set_title('dmass'); |
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167 | ax7.scatter(gh_nowref,gh_now-gh_nowref) ; ax7.set_title('gh_now'); |
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168 | ax8.scatter(u_nowref,u_now-u_nowref) ; ax8.set_title('u_now'); |
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169 | f.subplots_adjust(hspace=1.) |
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170 | plt.savefig('%s_scatter_%02d.png'%(prefix,i)) |
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171 | plt.close() |
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172 | |
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173 | print 'Time spent in DYNAMICO (s) : ', unst.getvar('elapsed') |
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