[719] | 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 | |
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| 5 | #----------------------- Cartesian mesh ----------------------- |
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| 6 | |
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| 7 | def concat(x,y): |
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| 8 | z = np.asarray([x,y]) |
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| 9 | return z.transpose() |
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| 10 | |
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| 11 | # arrays is a list of arrays |
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| 12 | # vals is a list of tuples |
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| 13 | # each tuple is stored in each array |
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| 14 | def put(ij, deg, arrays, vals): |
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| 15 | k=0 |
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| 16 | for vv in vals: # vv is a tuple of values to be stored in arrays |
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| 17 | for array,v in zip(arrays,vv): |
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| 18 | array[ij,k]=v |
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| 19 | k=k+1 |
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| 20 | deg[ij]=k |
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| 21 | |
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| 22 | class Cartesian_mesh: |
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| 23 | def __init__(self,nx,ny,llm,nqdyn,Lx,Ly): |
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| 24 | dx,dy = Lx/nx, Ly/ny |
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| 25 | self.dx, self.dy = dx,dy |
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| 26 | self.nx, self.ny, self.llm, self.nqdyn = nx,ny,llm,nqdyn |
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| 27 | self.field_z = self.field_mass |
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| 28 | # 1D coordinate arrays |
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| 29 | x=(np.arange(nx)-nx/2.)*Lx/nx |
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| 30 | y=(np.arange(ny)-ny/2.)*Ly/ny |
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| 31 | lev=np.arange(llm) |
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| 32 | levp1=np.arange(llm+1) |
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| 33 | self.x, self.y, self.lev, self.levp1 = x,y,lev,levp1 |
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| 34 | # 3D coordinate arrays |
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| 35 | self.xx,self.yy,self.ll = np.meshgrid(x,y,lev, indexing='ij') |
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| 36 | self.xxp1,self.yyp1,self.llp1 = np.meshgrid(x,y,levp1, indexing='ij') |
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| 37 | # beware conventions for indexing |
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| 38 | # Fortran order : llm,nx*ny,nqdyn / indices start at 1 |
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| 39 | # Python order : nqdyn,ny,nx,llm / indices start at 0 |
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| 40 | # indices below follow Fortran while x,y follow Python/C |
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| 41 | index=lambda x,y : ((x+(nx*(y+2*ny)))%(nx*ny))+1 |
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| 42 | indexu=lambda x,y : 2*index(x,y)-1 |
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| 43 | indexv=lambda x,y : 2*index(x,y) |
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| 44 | indices = lambda shape : np.zeros(shape,np.int32) |
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| 45 | |
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| 46 | primal_deg = indices(nx*ny) |
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| 47 | primal_edge = indices((nx*ny,4)) |
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| 48 | primal_ne = indices((nx*ny,4)) |
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| 49 | |
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| 50 | dual_deg = indices(nx*ny) |
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| 51 | dual_edge = indices((nx*ny,4)) |
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| 52 | dual_ne = indices((nx*ny,4)) |
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| 53 | primal_vertex = indices((nx*ny,4)) |
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| 54 | dual_vertex = indices((nx*ny,4)) |
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| 55 | Riv2 = np.zeros((nx*ny,4)) |
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| 56 | |
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| 57 | left = indices(2*nx*ny) |
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| 58 | right = indices(2*nx*ny) |
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| 59 | up = indices(2*nx*ny) |
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| 60 | down = indices(2*nx*ny) |
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| 61 | le_de = np.zeros(2*nx*ny) |
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| 62 | le = np.zeros(2*nx*ny) |
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| 63 | de = np.zeros(2*nx*ny) |
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| 64 | angle_e = np.zeros(2*nx*ny) |
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| 65 | |
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| 66 | trisk_deg = indices(2*nx*ny) |
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| 67 | trisk = indices((2*nx*ny,4)) # 4 TRiSK coefs per edge |
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| 68 | wee = np.zeros((2*nx*ny,4)) |
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| 69 | |
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| 70 | lon_i = indices(nx*ny) |
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| 71 | lon_v = indices(nx*ny) |
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| 72 | lon_e = indices(2*nx*ny) |
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| 73 | lat_i = indices(nx*ny) |
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| 74 | lat_v = indices(nx*ny) |
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| 75 | lat_e = indices(2*nx*ny) |
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| 76 | |
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| 77 | for x in range(nx): |
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| 78 | for y in range(ny): |
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| 79 | # NB : Fortran indices start at 1 |
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| 80 | # primal cells |
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| 81 | put(index(x,y)-1, primal_deg,(primal_edge,primal_vertex,primal_ne), |
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| 82 | ((indexu(x,y),index(x,y),1), |
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| 83 | (indexv(x,y),index(x-1,y),1), |
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| 84 | (indexu(x-1,y),index(x-1,y-1),-1), |
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| 85 | (indexv(x,y-1),index(x,y-1),-1) )) |
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| 86 | # dual cells |
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| 87 | put(index(x,y)-1,dual_deg,(dual_edge,dual_vertex,dual_ne,Riv2), |
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| 88 | ((indexv(x+1,y),index(x,y),1,.25), |
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| 89 | (indexu(x,y+1),index(x+1,y),-1,.25), |
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| 90 | (indexv(x,y),index(x+1,y+1),-1,.25), |
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| 91 | (indexu(x,y),index(x,y+1),1,.25) )) |
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| 92 | # edges : |
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| 93 | # left and right are adjacent primal cells |
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| 94 | # flux is positive when going from left to right |
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| 95 | # up and down are adjacent dual cells (vertices) |
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| 96 | # circulation is positive when going from down to up |
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| 97 | # u-points |
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| 98 | ij =indexu(x,y)-1 |
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| 99 | left[ij]=index(x,y) |
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| 100 | right[ij]=index(x+1,y) |
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| 101 | down[ij]=index(x,y-1) |
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| 102 | up[ij]=index(x,y) |
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| 103 | #le_de[ij]=dy/dx |
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| 104 | le[ij]=dy |
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| 105 | de[ij]=dx |
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| 106 | le_de[ij]=le[ij]/de[ij] |
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| 107 | angle_e[ij]=0. |
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| 108 | put(ij,trisk_deg,(trisk,wee),( |
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| 109 | (indexv(x,y),.25), |
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| 110 | (indexv(x+1,y),.25), |
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| 111 | (indexv(x,y-1),.25), |
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| 112 | (indexv(x+1,y-1),.25))) |
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| 113 | # v-points |
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| 114 | ij = indexv(x,y)-1 |
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| 115 | left[ij]=index(x,y) |
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| 116 | right[ij]=index(x,y+1) |
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| 117 | down[ij]=index(x,y) |
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| 118 | up[ij]=index(x-1,y) |
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| 119 | #le_de[ij]=dx/dy |
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| 120 | le[ij]=dx |
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| 121 | de[ij]=dy |
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| 122 | le_de[ij]=le[ij]/de[ij] |
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| 123 | angle_e[ij]=.5*np.pi |
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| 124 | put(ij,trisk_deg,(trisk,wee),( |
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| 125 | (indexu(x,y),-.25), |
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| 126 | (indexu(x-1,y),-.25), |
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| 127 | (indexu(x,y+1),-.25), |
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| 128 | (indexu(x-1,y+1),-.25))) |
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| 129 | ij = index(x,y)-1 |
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| 130 | lon_i[ij], lat_i[ij] = x, y |
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| 131 | ij = index(x,y)-1 |
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| 132 | lon_v[ij], lat_v[ij] = x+.5, y+.5 |
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| 133 | ij = indexu(x,y)-1 |
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| 134 | lon_e[ij], lat_e[ij] = x+.5, y |
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| 135 | ij = indexv(x,y)-1 |
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| 136 | lon_e[ij], lat_e[ij] = x, y+.5 |
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| 137 | |
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| 138 | Aiv=np.zeros(nx*ny)+dx*dy |
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| 139 | Ai=Av=np.zeros(nx*ny)+dx*dy |
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| 140 | |
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| 141 | self.llm=llm |
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| 142 | self.nqdyn=nqdyn |
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| 143 | self.nx=nx |
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| 144 | self.ny=ny |
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| 145 | self.primal_deg=primal_deg |
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| 146 | self.primal_edge=primal_edge |
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| 147 | self.primal_ne=primal_ne |
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| 148 | self.dual_deg=dual_deg |
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| 149 | self.dual_edge=dual_edge |
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| 150 | self.dual_ne=dual_ne |
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| 151 | self.dual_vertex=dual_vertex |
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| 152 | self.primal_vertex=primal_vertex |
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| 153 | self.left=left |
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| 154 | self.right=right |
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| 155 | self.down=down |
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| 156 | self.up=up |
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| 157 | self.trisk_deg=trisk_deg |
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| 158 | self.trisk=trisk |
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| 159 | self.Aiv=Aiv |
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| 160 | self.Ai=Ai |
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| 161 | self.Av=Av |
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| 162 | self.le=le |
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| 163 | self.de=de |
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| 164 | self.angle_e=angle_e |
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| 165 | self.Riv2=Riv2 |
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| 166 | self.wee=wee |
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| 167 | self.lon_i = lon_i |
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| 168 | self.lon_v = lon_v |
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| 169 | self.lon_e = lon_e |
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| 170 | #self.lon_ev = indices(2*nx*ny) |
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| 171 | self.lat_i = lat_i |
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| 172 | self.lat_v = lat_v |
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| 173 | self.lat_e = lat_e |
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| 174 | #self.lat_ev = indices(2*nx*ny) |
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| 175 | |
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| 176 | |
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| 177 | def field_theta(self,n=1): return zeros((n,self.nqdyn,self.ny,self.nx,self.llm)) |
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| 178 | def field_mass(self,n=1): return zeros((n,self.ny,self.nx,self.llm)) |
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| 179 | def field_z(self,n=1): return zeros((n,self.ny,self.nx,self.llm)) |
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| 180 | def field_w(self,n=1): return zeros((n,self.ny,self.nx,self.llm+1)) |
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| 181 | def field_u(self,n=1): |
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| 182 | if n==1: |
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| 183 | return np.zeros((self.ny,2*self.nx,self.llm)) |
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| 184 | else: |
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| 185 | return np.zeros((n,self.ny,2*self.nx,self.llm)) |
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| 186 | def field_ps(self,n=1): return zeros((n,self.ny,self.nx)) |
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| 187 | def ucomp(self,u): return u[:,range(0,2*self.nx,2),:] |
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| 188 | def set_ucomp(self,uv,u): uv[:,range(0,2*self.nx,2),:]=u |
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| 189 | def vcomp(self,u): return u[:,range(1,2*self.nx,2),:] |
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| 190 | |
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| 191 | print('#NC4: Successfully initialized Cartesian mesh') |
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| 192 | |
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| 193 | #----------------------------WRITING MESH---------------------- |
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| 194 | def ncwrite(self, name): |
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| 195 | """The method writes Cartesian mesh on the disc. |
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| 196 | Args: Mesh parameters""" |
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| 197 | |
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| 198 | #----------------OPENING NETCDF OUTPUT FILE------------ |
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| 199 | |
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| 200 | try: |
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| 201 | f = cdf.Dataset(name, 'w', format='NETCDF4') |
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| 202 | except: |
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| 203 | print("CartesianMesh.ncwrite : Error occurred while opening new netCDF mesh file") |
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| 204 | help(self.ncwrite) |
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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 | nx,ny,llm,nqdyn=128,128,1,1 |
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| 275 | Lx,Ly = 8.,8. |
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| 276 | dx,dy=Lx/nx,Ly/ny |
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| 277 | mesh = Cartesian_mesh(nx,ny,llm,nqdyn,Lx,Ly) |
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| 278 | mesh.ncwrite('cart128.nc') |
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