1 | from dynamico.meshes import zeros |
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2 | import numpy as np |
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3 | import netCDF4 as cdf |
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4 | import argparse |
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5 | |
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6 | #----------------------- Cartesian mesh ----------------------- |
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7 | |
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8 | def concat(x,y): |
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9 | z = np.asarray([x,y]) |
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10 | return z.transpose() |
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11 | |
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12 | # arrays is a list of arrays |
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13 | # vals is a list of tuples |
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14 | # each tuple is stored in each array |
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15 | def put(ij, deg, arrays, vals): |
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16 | k=0 |
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17 | for vv in vals: # vv is a tuple of values to be stored in arrays |
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18 | for array,v in zip(arrays,vv): |
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19 | array[ij,k]=v |
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20 | k=k+1 |
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21 | deg[ij]=k |
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22 | |
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23 | class Cartesian_mesh: |
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24 | def __init__(self,nx,ny,llm,nqdyn,Lx,Ly): |
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25 | dx,dy = Lx/nx, Ly/ny |
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26 | self.dx, self.dy = dx,dy |
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27 | self.nx, self.ny, self.llm, self.nqdyn = nx,ny,llm,nqdyn |
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28 | self.field_z = self.field_mass |
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29 | # 1D coordinate arrays |
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30 | x=(np.arange(nx)-nx/2.)*Lx/nx |
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31 | y=(np.arange(ny)-ny/2.)*Ly/ny |
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32 | lev=np.arange(llm) |
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33 | levp1=np.arange(llm+1) |
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34 | self.x, self.y, self.lev, self.levp1 = x,y,lev,levp1 |
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35 | # 3D coordinate arrays |
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36 | self.xx,self.yy,self.ll = np.meshgrid(x,y,lev, indexing='ij') |
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37 | self.xxp1,self.yyp1,self.llp1 = np.meshgrid(x,y,levp1, indexing='ij') |
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38 | # beware conventions for indexing |
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39 | # Fortran order : llm,nx*ny,nqdyn / indices start at 1 |
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40 | # Python order : nqdyn,ny,nx,llm / indices start at 0 |
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41 | # indices below follow Fortran while x,y follow Python/C |
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42 | index=lambda x,y : ((x+(nx*(y+2*ny)))%(nx*ny))+1 |
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43 | indexu=lambda x,y : 2*index(x,y)-1 |
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44 | indexv=lambda x,y : 2*index(x,y) |
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45 | indices = lambda shape : np.zeros(shape,np.int32) |
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46 | |
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47 | primal_deg = indices(nx*ny) |
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48 | primal_edge = indices((nx*ny,4)) |
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49 | primal_ne = indices((nx*ny,4)) |
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50 | |
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51 | dual_deg = indices(nx*ny) |
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52 | dual_edge = indices((nx*ny,4)) |
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53 | dual_ne = indices((nx*ny,4)) |
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54 | primal_vertex = indices((nx*ny,4)) |
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55 | dual_vertex = indices((nx*ny,4)) |
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56 | Riv2 = np.zeros((nx*ny,4)) |
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57 | |
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58 | left = indices(2*nx*ny) |
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59 | right = indices(2*nx*ny) |
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60 | up = indices(2*nx*ny) |
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61 | down = indices(2*nx*ny) |
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62 | le_de = np.zeros(2*nx*ny) |
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63 | le = np.zeros(2*nx*ny) |
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64 | de = np.zeros(2*nx*ny) |
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65 | angle_e = np.zeros(2*nx*ny) |
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66 | |
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67 | trisk_deg = indices(2*nx*ny) |
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68 | trisk = indices((2*nx*ny,4)) # 4 TRiSK coefs per edge |
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69 | wee = np.zeros((2*nx*ny,4)) |
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70 | |
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71 | lon_i = indices(nx*ny) |
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72 | lon_v = indices(nx*ny) |
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73 | lon_e = indices(2*nx*ny) |
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74 | lat_i = indices(nx*ny) |
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75 | lat_v = indices(nx*ny) |
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76 | lat_e = indices(2*nx*ny) |
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77 | |
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78 | for x in range(nx): |
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79 | for y in range(ny): |
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80 | # NB : Fortran indices start at 1 |
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81 | # primal cells |
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82 | put(index(x,y)-1, primal_deg,(primal_edge,primal_vertex,primal_ne), |
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83 | ((indexu(x,y),index(x,y),1), |
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84 | (indexv(x,y),index(x-1,y),1), |
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85 | (indexu(x-1,y),index(x-1,y-1),-1), |
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86 | (indexv(x,y-1),index(x,y-1),-1) )) |
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87 | # dual cells |
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88 | put(index(x,y)-1,dual_deg,(dual_edge,dual_vertex,dual_ne,Riv2), |
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89 | ((indexv(x+1,y),index(x,y),1,.25), |
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90 | (indexu(x,y+1),index(x+1,y),-1,.25), |
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91 | (indexv(x,y),index(x+1,y+1),-1,.25), |
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92 | (indexu(x,y),index(x,y+1),1,.25) )) |
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93 | # edges : |
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94 | # left and right are adjacent primal cells |
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95 | # flux is positive when going from left to right |
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96 | # up and down are adjacent dual cells (vertices) |
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97 | # circulation is positive when going from down to up |
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98 | # u-points |
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99 | ij =indexu(x,y)-1 |
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100 | left[ij]=index(x,y) |
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101 | left[ij]=index(x,y) |
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102 | right[ij]=index(x+1,y) |
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103 | down[ij]=index(x,y-1) |
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104 | up[ij]=index(x,y) |
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105 | #le_de[ij]=dy/dx |
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106 | le[ij]=dy |
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107 | de[ij]=dx |
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108 | le_de[ij]=le[ij]/de[ij] |
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109 | angle_e[ij]=0. |
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110 | put(ij,trisk_deg,(trisk,wee),( |
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111 | (indexv(x,y),.25), |
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112 | (indexv(x+1,y),.25), |
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113 | (indexv(x,y-1),.25), |
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114 | (indexv(x+1,y-1),.25))) |
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115 | # v-points |
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116 | ij = indexv(x,y)-1 |
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117 | left[ij]=index(x,y) |
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118 | right[ij]=index(x,y+1) |
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119 | down[ij]=index(x,y) |
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120 | up[ij]=index(x-1,y) |
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121 | #le_de[ij]=dx/dy |
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122 | le[ij]=dx |
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123 | de[ij]=dy |
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124 | le_de[ij]=le[ij]/de[ij] |
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125 | angle_e[ij]=.5*np.pi |
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126 | put(ij,trisk_deg,(trisk,wee),( |
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127 | (indexu(x,y),-.25), |
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128 | (indexu(x-1,y),-.25), |
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129 | (indexu(x,y+1),-.25), |
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130 | (indexu(x-1,y+1),-.25))) |
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131 | ij = index(x,y)-1 |
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132 | lon_i[ij], lat_i[ij] = x, y |
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133 | ij = index(x,y)-1 |
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134 | lon_v[ij], lat_v[ij] = x+.5, y+.5 |
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135 | ij = indexu(x,y)-1 |
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136 | lon_e[ij], lat_e[ij] = x+.5, y |
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137 | ij = indexv(x,y)-1 |
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138 | lon_e[ij], lat_e[ij] = x, y+.5 |
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139 | |
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140 | Aiv=np.zeros(nx*ny)+dx*dy |
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141 | Ai=Av=np.zeros(nx*ny)+dx*dy |
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142 | |
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143 | self.llm=llm |
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144 | self.nqdyn=nqdyn |
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145 | self.nx=nx |
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146 | self.ny=ny |
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147 | self.primal_deg=primal_deg |
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148 | self.primal_edge=primal_edge |
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149 | self.primal_ne=primal_ne |
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150 | self.dual_deg=dual_deg |
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151 | self.dual_edge=dual_edge |
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152 | self.dual_ne=dual_ne |
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153 | self.dual_vertex=dual_vertex |
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154 | self.primal_vertex=primal_vertex |
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155 | self.left=left |
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156 | self.right=right |
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157 | self.down=down |
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158 | self.up=up |
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159 | self.trisk_deg=trisk_deg |
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160 | self.trisk=trisk |
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161 | self.Aiv=Aiv |
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162 | self.Ai=Ai |
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163 | self.Av=Av |
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164 | self.le=le |
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165 | self.de=de |
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166 | self.angle_e=angle_e |
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167 | self.Riv2=Riv2 |
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168 | self.wee=wee |
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169 | self.lon_i = lon_i |
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170 | self.lon_v = lon_v |
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171 | self.lon_e = lon_e |
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172 | #self.lon_ev = indices(2*nx*ny) |
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173 | self.lat_i = lat_i |
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174 | self.lat_v = lat_v |
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175 | self.lat_e = lat_e |
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176 | #self.lat_ev = indices(2*nx*ny) |
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177 | |
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178 | |
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179 | def field_theta(self,n=1): return zeros((n,self.nqdyn,self.ny,self.nx,self.llm)) |
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180 | def field_mass(self,n=1): return zeros((n,self.ny,self.nx,self.llm)) |
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181 | def field_z(self,n=1): return zeros((n,self.ny,self.nx,self.llm)) |
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182 | def field_w(self,n=1): return zeros((n,self.ny,self.nx,self.llm+1)) |
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183 | def field_u(self,n=1): |
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184 | if n==1: |
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185 | return np.zeros((self.ny,2*self.nx,self.llm)) |
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186 | else: |
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187 | return np.zeros((n,self.ny,2*self.nx,self.llm)) |
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188 | def field_ps(self,n=1): return zeros((n,self.ny,self.nx)) |
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189 | def ucomp(self,u): return u[:,range(0,2*self.nx,2),:] |
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190 | def set_ucomp(self,uv,u): uv[:,range(0,2*self.nx,2),:]=u |
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191 | def vcomp(self,u): return u[:,range(1,2*self.nx,2),:] |
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192 | |
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193 | |
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194 | #----------------------------WRITING MESH---------------------- |
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195 | def ncwrite(self, name): |
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196 | """The method writes Cartesian mesh on the disc. |
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197 | Args: Mesh parameters""" |
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198 | |
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199 | #----------------OPENING NETCDF OUTPUT FILE------------ |
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200 | |
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201 | try: |
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202 | f = cdf.Dataset(name, 'w', format='NETCDF4') |
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203 | except: |
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204 | print("CartesianMesh.ncwrite : Error occurred while opening new netCDF mesh file") |
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205 | raise |
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206 | |
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207 | #----------------DEFINING DIMENSIONS-------------------- |
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208 | |
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209 | for dimname, dimsize in [("primal_cell", self.primal_deg.size), |
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210 | ("dual_cell", self.dual_deg.size), |
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211 | ("edge", self.left.size), |
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212 | ("primal_edge_or_vertex", self.primal_edge.shape[1]), |
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213 | ("dual_edge_or_vertex", self.dual_edge.shape[1]), |
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214 | ("TWO", 2), |
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215 | ("trisk_edge", 4)]: |
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216 | f.createDimension(dimname,dimsize) |
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217 | |
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218 | #----------------DEFINING VARIABLES--------------------- |
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219 | |
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220 | f.description = "Cartesian_mesh" |
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221 | f.nx, f.ny = self.nx, self.ny |
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222 | |
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223 | def create_vars(dimname, info): |
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224 | for vname, vtype, vdata in info: |
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225 | # print('create_vars', dimname, vname, vdata.shape) |
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226 | var = f.createVariable(vname,vtype,dimname) |
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227 | var[:] = vdata |
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228 | |
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229 | create_vars("primal_cell", |
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230 | [("primal_deg","i4",self.primal_deg), |
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231 | ("Ai","f8",self.Aiv), |
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232 | ("lon_i","f8",self.lon_i), |
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233 | ("lat_i","f8",self.lat_i)] ) |
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234 | create_vars("dual_cell", |
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235 | [("dual_deg","i4",self.dual_deg), |
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236 | ("Av","f8",self.Aiv), |
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237 | ("lon_v","f8",self.lon_v), |
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238 | ("lat_v","f8",self.lat_v), |
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239 | ] ) |
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240 | |
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241 | create_vars( ("primal_cell","primal_edge_or_vertex"), |
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242 | [("primal_edge", "i4", self.primal_edge), |
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243 | ("primal_ne", "i4", self.primal_ne), |
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244 | ("primal_vertex", "i4", self.primal_vertex)] ) |
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245 | |
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246 | create_vars( ("dual_cell","dual_edge_or_vertex"), |
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247 | [("dual_edge", "i4", self.dual_edge), |
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248 | ("dual_vertex","i4",self.dual_vertex), |
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249 | ("dual_ne","i4",self.dual_ne), |
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250 | ("Riv2","f8",self.Riv2)] ) |
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251 | |
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252 | create_vars("edge", |
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253 | [("trisk_deg","i4",self.trisk_deg), |
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254 | ("le","f8",self.le), |
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255 | ("de","f8",self.de), |
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256 | ("lon_e","f8", self.lon_e), |
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257 | ("lat_e","f8", self.lat_e), |
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258 | ("angle_e","f8", self.angle_e)] ) |
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259 | |
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260 | create_vars( ("edge","TWO"), |
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261 | [("edge_left_right","i4", concat(self.left,self.right)), |
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262 | ("edge_down_up","i4", concat(self.down,self.up))] ) |
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263 | |
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264 | |
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265 | create_vars( ("edge","trisk_edge"), |
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266 | [("trisk","i4",self.trisk), |
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267 | ("wee","f8",self.wee)] ) |
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268 | |
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269 | f.close() |
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270 | |
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271 | |
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272 | #--------------------------------- Main program ------------------------------------- |
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273 | |
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274 | parser = argparse.ArgumentParser() |
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275 | |
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276 | parser.add_argument("-nx", type=int, |
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277 | default=128, choices=None, |
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278 | help="number of x points") |
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279 | parser.add_argument("-ny", type=int, |
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280 | default=128, choices=None, |
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281 | help="number of y points") |
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282 | parser.add_argument("-Lx", type=float, |
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283 | default=8., choices=None, |
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284 | help="Lx") |
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285 | parser.add_argument("-Ly", type=float, |
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286 | default=8., choices=None, |
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287 | help="Ly") |
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288 | parser.add_argument("-llm", type=int, |
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289 | default=1, choices=[1], |
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290 | help="number of vertical levels") |
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291 | args = parser.parse_args() |
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292 | nx, ny, Lx, Ly, llm, nqdyn = args.nx, args.ny,args.Lx, args.Ly, args.llm, 1 |
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293 | |
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294 | dx,dy=Lx/nx,Ly/ny |
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295 | mesh = Cartesian_mesh(nx,ny,llm,nqdyn,Lx,Ly) |
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296 | print('Successfully initialized Cartesian mesh') |
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297 | mesh.ncwrite('cart_'+str(nx)+'.nc') |
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298 | print('Successfully written Cartesian mesh to NetCDF File') |
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