[751] | 1 | from dynamico.meshes import zeros |
---|
| 2 | import numpy as np |
---|
| 3 | import netCDF4 as cdf |
---|
| 4 | import argparse |
---|
| 5 | |
---|
| 6 | #----------------------- Cartesian mesh ----------------------- |
---|
| 7 | |
---|
| 8 | def concat(x,y): |
---|
| 9 | z = np.asarray([x,y]) |
---|
| 10 | return z.transpose() |
---|
| 11 | |
---|
| 12 | # arrays is a list of arrays |
---|
| 13 | # vals is a list of tuples |
---|
| 14 | # each tuple is stored in each array |
---|
| 15 | def put(ij, deg, arrays, vals): |
---|
| 16 | k=0 |
---|
| 17 | for vv in vals: # vv is a tuple of values to be stored in arrays |
---|
| 18 | for array,v in zip(arrays,vv): |
---|
| 19 | array[ij,k]=v |
---|
| 20 | k=k+1 |
---|
| 21 | deg[ij]=k |
---|
| 22 | |
---|
| 23 | class Cartesian_mesh: |
---|
| 24 | def __init__(self,nx,ny,llm,nqdyn,Lx,Ly): |
---|
| 25 | dx,dy = Lx/nx, Ly/ny |
---|
| 26 | self.dx, self.dy = dx,dy |
---|
| 27 | self.nx, self.ny, self.llm, self.nqdyn = nx,ny,llm,nqdyn |
---|
| 28 | self.field_z = self.field_mass |
---|
| 29 | # 1D coordinate arrays |
---|
| 30 | x=(np.arange(nx)-nx/2.)*Lx/nx |
---|
| 31 | y=(np.arange(ny)-ny/2.)*Ly/ny |
---|
| 32 | lev=np.arange(llm) |
---|
| 33 | levp1=np.arange(llm+1) |
---|
| 34 | self.x, self.y, self.lev, self.levp1 = x,y,lev,levp1 |
---|
| 35 | # 3D coordinate arrays |
---|
| 36 | self.xx,self.yy,self.ll = np.meshgrid(x,y,lev, indexing='ij') |
---|
| 37 | self.xxp1,self.yyp1,self.llp1 = np.meshgrid(x,y,levp1, indexing='ij') |
---|
| 38 | # beware conventions for indexing |
---|
| 39 | # Fortran order : llm,nx*ny,nqdyn / indices start at 1 |
---|
| 40 | # Python order : nqdyn,ny,nx,llm / indices start at 0 |
---|
| 41 | # indices below follow Fortran while x,y follow Python/C |
---|
| 42 | index=lambda x,y : ((x+(nx*(y+2*ny)))%(nx*ny))+1 |
---|
| 43 | indexu=lambda x,y : 2*index(x,y)-1 |
---|
| 44 | indexv=lambda x,y : 2*index(x,y) |
---|
| 45 | indices = lambda shape : np.zeros(shape,np.int32) |
---|
| 46 | |
---|
| 47 | primal_deg = indices(nx*ny) |
---|
| 48 | primal_edge = indices((nx*ny,4)) |
---|
| 49 | primal_ne = indices((nx*ny,4)) |
---|
| 50 | |
---|
| 51 | dual_deg = indices(nx*ny) |
---|
| 52 | dual_edge = indices((nx*ny,4)) |
---|
| 53 | dual_ne = indices((nx*ny,4)) |
---|
| 54 | primal_vertex = indices((nx*ny,4)) |
---|
| 55 | dual_vertex = indices((nx*ny,4)) |
---|
| 56 | Riv2 = np.zeros((nx*ny,4)) |
---|
| 57 | |
---|
| 58 | left = indices(2*nx*ny) |
---|
| 59 | right = indices(2*nx*ny) |
---|
| 60 | up = indices(2*nx*ny) |
---|
| 61 | down = indices(2*nx*ny) |
---|
| 62 | le_de = np.zeros(2*nx*ny) |
---|
| 63 | le = np.zeros(2*nx*ny) |
---|
| 64 | de = np.zeros(2*nx*ny) |
---|
| 65 | angle_e = np.zeros(2*nx*ny) |
---|
| 66 | |
---|
| 67 | trisk_deg = indices(2*nx*ny) |
---|
| 68 | trisk = indices((2*nx*ny,4)) # 4 TRiSK coefs per edge |
---|
| 69 | wee = np.zeros((2*nx*ny,4)) |
---|
| 70 | |
---|
| 71 | lon_i = indices(nx*ny) |
---|
| 72 | lon_v = indices(nx*ny) |
---|
| 73 | lon_e = indices(2*nx*ny) |
---|
| 74 | lat_i = indices(nx*ny) |
---|
| 75 | lat_v = indices(nx*ny) |
---|
| 76 | lat_e = indices(2*nx*ny) |
---|
| 77 | |
---|
| 78 | for x in range(nx): |
---|
| 79 | for y in range(ny): |
---|
| 80 | # NB : Fortran indices start at 1 |
---|
| 81 | # primal cells |
---|
| 82 | put(index(x,y)-1, primal_deg,(primal_edge,primal_vertex,primal_ne), |
---|
| 83 | ((indexu(x,y),index(x,y),1), |
---|
| 84 | (indexv(x,y),index(x-1,y),1), |
---|
| 85 | (indexu(x-1,y),index(x-1,y-1),-1), |
---|
| 86 | (indexv(x,y-1),index(x,y-1),-1) )) |
---|
| 87 | # dual cells |
---|
| 88 | put(index(x,y)-1,dual_deg,(dual_edge,dual_vertex,dual_ne,Riv2), |
---|
| 89 | ((indexv(x+1,y),index(x,y),1,.25), |
---|
| 90 | (indexu(x,y+1),index(x+1,y),-1,.25), |
---|
| 91 | (indexv(x,y),index(x+1,y+1),-1,.25), |
---|
| 92 | (indexu(x,y),index(x,y+1),1,.25) )) |
---|
| 93 | # edges : |
---|
| 94 | # left and right are adjacent primal cells |
---|
| 95 | # flux is positive when going from left to right |
---|
| 96 | # up and down are adjacent dual cells (vertices) |
---|
| 97 | # circulation is positive when going from down to up |
---|
| 98 | # u-points |
---|
| 99 | ij =indexu(x,y)-1 |
---|
| 100 | left[ij]=index(x,y) |
---|
| 101 | left[ij]=index(x,y) |
---|
| 102 | right[ij]=index(x+1,y) |
---|
| 103 | down[ij]=index(x,y-1) |
---|
| 104 | up[ij]=index(x,y) |
---|
| 105 | #le_de[ij]=dy/dx |
---|
| 106 | le[ij]=dy |
---|
| 107 | de[ij]=dx |
---|
| 108 | le_de[ij]=le[ij]/de[ij] |
---|
| 109 | angle_e[ij]=0. |
---|
| 110 | put(ij,trisk_deg,(trisk,wee),( |
---|
| 111 | (indexv(x,y),.25), |
---|
| 112 | (indexv(x+1,y),.25), |
---|
| 113 | (indexv(x,y-1),.25), |
---|
| 114 | (indexv(x+1,y-1),.25))) |
---|
| 115 | # v-points |
---|
| 116 | ij = indexv(x,y)-1 |
---|
| 117 | left[ij]=index(x,y) |
---|
| 118 | right[ij]=index(x,y+1) |
---|
| 119 | down[ij]=index(x,y) |
---|
| 120 | up[ij]=index(x-1,y) |
---|
| 121 | #le_de[ij]=dx/dy |
---|
| 122 | le[ij]=dx |
---|
| 123 | de[ij]=dy |
---|
| 124 | le_de[ij]=le[ij]/de[ij] |
---|
| 125 | angle_e[ij]=.5*np.pi |
---|
| 126 | put(ij,trisk_deg,(trisk,wee),( |
---|
| 127 | (indexu(x,y),-.25), |
---|
| 128 | (indexu(x-1,y),-.25), |
---|
| 129 | (indexu(x,y+1),-.25), |
---|
| 130 | (indexu(x-1,y+1),-.25))) |
---|
| 131 | ij = index(x,y)-1 |
---|
| 132 | lon_i[ij], lat_i[ij] = x, y |
---|
| 133 | ij = index(x,y)-1 |
---|
| 134 | lon_v[ij], lat_v[ij] = x+.5, y+.5 |
---|
| 135 | ij = indexu(x,y)-1 |
---|
| 136 | lon_e[ij], lat_e[ij] = x+.5, y |
---|
| 137 | ij = indexv(x,y)-1 |
---|
| 138 | lon_e[ij], lat_e[ij] = x, y+.5 |
---|
| 139 | |
---|
| 140 | Aiv=np.zeros(nx*ny)+dx*dy |
---|
| 141 | Ai=Av=np.zeros(nx*ny)+dx*dy |
---|
| 142 | |
---|
| 143 | self.llm=llm |
---|
| 144 | self.nqdyn=nqdyn |
---|
| 145 | self.nx=nx |
---|
| 146 | self.ny=ny |
---|
| 147 | self.primal_deg=primal_deg |
---|
| 148 | self.primal_edge=primal_edge |
---|
| 149 | self.primal_ne=primal_ne |
---|
| 150 | self.dual_deg=dual_deg |
---|
| 151 | self.dual_edge=dual_edge |
---|
| 152 | self.dual_ne=dual_ne |
---|
| 153 | self.dual_vertex=dual_vertex |
---|
| 154 | self.primal_vertex=primal_vertex |
---|
| 155 | self.left=left |
---|
| 156 | self.right=right |
---|
| 157 | self.down=down |
---|
| 158 | self.up=up |
---|
| 159 | self.trisk_deg=trisk_deg |
---|
| 160 | self.trisk=trisk |
---|
| 161 | self.Aiv=Aiv |
---|
| 162 | self.Ai=Ai |
---|
| 163 | self.Av=Av |
---|
| 164 | self.le=le |
---|
| 165 | self.de=de |
---|
| 166 | self.angle_e=angle_e |
---|
| 167 | self.Riv2=Riv2 |
---|
| 168 | self.wee=wee |
---|
| 169 | self.lon_i = lon_i |
---|
| 170 | self.lon_v = lon_v |
---|
| 171 | self.lon_e = lon_e |
---|
| 172 | #self.lon_ev = indices(2*nx*ny) |
---|
| 173 | self.lat_i = lat_i |
---|
| 174 | self.lat_v = lat_v |
---|
| 175 | self.lat_e = lat_e |
---|
| 176 | #self.lat_ev = indices(2*nx*ny) |
---|
| 177 | |
---|
| 178 | |
---|
| 179 | def field_theta(self,n=1): return zeros((n,self.nqdyn,self.ny,self.nx,self.llm)) |
---|
| 180 | def field_mass(self,n=1): return zeros((n,self.ny,self.nx,self.llm)) |
---|
| 181 | def field_z(self,n=1): return zeros((n,self.ny,self.nx,self.llm)) |
---|
| 182 | def field_w(self,n=1): return zeros((n,self.ny,self.nx,self.llm+1)) |
---|
| 183 | def field_u(self,n=1): |
---|
| 184 | if n==1: |
---|
| 185 | return np.zeros((self.ny,2*self.nx,self.llm)) |
---|
| 186 | else: |
---|
| 187 | return np.zeros((n,self.ny,2*self.nx,self.llm)) |
---|
| 188 | def field_ps(self,n=1): return zeros((n,self.ny,self.nx)) |
---|
| 189 | def ucomp(self,u): return u[:,range(0,2*self.nx,2),:] |
---|
| 190 | def set_ucomp(self,uv,u): uv[:,range(0,2*self.nx,2),:]=u |
---|
| 191 | def vcomp(self,u): return u[:,range(1,2*self.nx,2),:] |
---|
| 192 | |
---|
| 193 | |
---|
| 194 | #----------------------------WRITING MESH---------------------- |
---|
| 195 | def ncwrite(self, name): |
---|
| 196 | """The method writes Cartesian mesh on the disc. |
---|
| 197 | Args: Mesh parameters""" |
---|
| 198 | |
---|
| 199 | #----------------OPENING NETCDF OUTPUT FILE------------ |
---|
| 200 | |
---|
| 201 | try: |
---|
| 202 | f = cdf.Dataset(name, 'w', format='NETCDF4') |
---|
| 203 | except: |
---|
| 204 | print("CartesianMesh.ncwrite : Error occurred while opening new netCDF mesh file") |
---|
| 205 | raise |
---|
| 206 | |
---|
| 207 | #----------------DEFINING DIMENSIONS-------------------- |
---|
| 208 | |
---|
| 209 | for dimname, dimsize in [("primal_cell", self.primal_deg.size), |
---|
| 210 | ("dual_cell", self.dual_deg.size), |
---|
| 211 | ("edge", self.left.size), |
---|
| 212 | ("primal_edge_or_vertex", self.primal_edge.shape[1]), |
---|
| 213 | ("dual_edge_or_vertex", self.dual_edge.shape[1]), |
---|
| 214 | ("TWO", 2), |
---|
| 215 | ("trisk_edge", 4)]: |
---|
| 216 | f.createDimension(dimname,dimsize) |
---|
| 217 | |
---|
| 218 | #----------------DEFINING VARIABLES--------------------- |
---|
| 219 | |
---|
| 220 | f.description = "Cartesian_mesh" |
---|
| 221 | f.nx, f.ny = self.nx, self.ny |
---|
| 222 | |
---|
| 223 | def create_vars(dimname, info): |
---|
| 224 | for vname, vtype, vdata in info: |
---|
| 225 | # print('create_vars', dimname, vname, vdata.shape) |
---|
| 226 | var = f.createVariable(vname,vtype,dimname) |
---|
| 227 | var[:] = vdata |
---|
| 228 | |
---|
| 229 | create_vars("primal_cell", |
---|
| 230 | [("primal_deg","i4",self.primal_deg), |
---|
| 231 | ("Ai","f8",self.Aiv), |
---|
| 232 | ("lon_i","f8",self.lon_i), |
---|
| 233 | ("lat_i","f8",self.lat_i)] ) |
---|
| 234 | create_vars("dual_cell", |
---|
| 235 | [("dual_deg","i4",self.dual_deg), |
---|
| 236 | ("Av","f8",self.Aiv), |
---|
| 237 | ("lon_v","f8",self.lon_v), |
---|
| 238 | ("lat_v","f8",self.lat_v), |
---|
| 239 | ] ) |
---|
| 240 | |
---|
| 241 | create_vars( ("primal_cell","primal_edge_or_vertex"), |
---|
| 242 | [("primal_edge", "i4", self.primal_edge), |
---|
| 243 | ("primal_ne", "i4", self.primal_ne), |
---|
| 244 | ("primal_vertex", "i4", self.primal_vertex)] ) |
---|
| 245 | |
---|
| 246 | create_vars( ("dual_cell","dual_edge_or_vertex"), |
---|
| 247 | [("dual_edge", "i4", self.dual_edge), |
---|
| 248 | ("dual_vertex","i4",self.dual_vertex), |
---|
| 249 | ("dual_ne","i4",self.dual_ne), |
---|
| 250 | ("Riv2","f8",self.Riv2)] ) |
---|
| 251 | |
---|
| 252 | create_vars("edge", |
---|
| 253 | [("trisk_deg","i4",self.trisk_deg), |
---|
| 254 | ("le","f8",self.le), |
---|
| 255 | ("de","f8",self.de), |
---|
| 256 | ("lon_e","f8", self.lon_e), |
---|
| 257 | ("lat_e","f8", self.lat_e), |
---|
| 258 | ("angle_e","f8", self.angle_e)] ) |
---|
| 259 | |
---|
| 260 | create_vars( ("edge","TWO"), |
---|
| 261 | [("edge_left_right","i4", concat(self.left,self.right)), |
---|
| 262 | ("edge_down_up","i4", concat(self.down,self.up))] ) |
---|
| 263 | |
---|
| 264 | |
---|
| 265 | create_vars( ("edge","trisk_edge"), |
---|
| 266 | [("trisk","i4",self.trisk), |
---|
| 267 | ("wee","f8",self.wee)] ) |
---|
| 268 | |
---|
| 269 | f.close() |
---|
| 270 | |
---|
| 271 | |
---|
| 272 | #--------------------------------- Main program ------------------------------------- |
---|
| 273 | |
---|
| 274 | parser = argparse.ArgumentParser() |
---|
| 275 | |
---|
| 276 | parser.add_argument("-nx", type=int, |
---|
| 277 | default=128, choices=None, |
---|
| 278 | help="number of x points") |
---|
| 279 | parser.add_argument("-ny", type=int, |
---|
| 280 | default=128, choices=None, |
---|
| 281 | help="number of y points") |
---|
| 282 | parser.add_argument("-Lx", type=float, |
---|
| 283 | default=8., choices=None, |
---|
| 284 | help="Lx") |
---|
| 285 | parser.add_argument("-Ly", type=float, |
---|
| 286 | default=8., choices=None, |
---|
| 287 | help="Ly") |
---|
| 288 | parser.add_argument("-llm", type=int, |
---|
| 289 | default=1, choices=[1], |
---|
| 290 | help="number of vertical levels") |
---|
| 291 | args = parser.parse_args() |
---|
| 292 | nx, ny, Lx, Ly, llm, nqdyn = args.nx, args.ny,args.Lx, args.Ly, args.llm, 1 |
---|
| 293 | |
---|
| 294 | dx,dy=Lx/nx,Ly/ny |
---|
| 295 | mesh = Cartesian_mesh(nx,ny,llm,nqdyn,Lx,Ly) |
---|
| 296 | print('Successfully initialized Cartesian mesh') |
---|
| 297 | mesh.ncwrite('cart_'+str(nx)+'.nc') |
---|
| 298 | print('Successfully written Cartesian mesh to NetCDF File') |
---|