[719] | 1 | from dynamico import meshes |
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| 2 | from dynamico import unstructured as unst |
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| 3 | from dynamico import time_step |
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[756] | 4 | from dynamico import precision as prec |
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[719] | 5 | |
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| 6 | import math as math |
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| 7 | import matplotlib.pyplot as plt |
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| 8 | import numpy as np |
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| 9 | import netCDF4 as cdf |
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| 10 | |
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| 11 | #--------------------------------- Main program ----------------------------- |
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| 12 | |
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| 13 | nx,ny,llm,nqdyn=128,128,1,1 |
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| 14 | Lx,Ly,g,f = 8.,8.,1.,1. |
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| 15 | dx,dy=Lx/nx,Ly/ny |
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| 16 | |
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[759] | 17 | filename, llm, nqdyn, g, f, radius = 'cart_%03d_%03d.nc'%(nx,ny), 1, 1, 1., 1., None |
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[719] | 18 | unst.setvar('g',g) |
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| 19 | |
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| 20 | print 'Reading Cartesian mesh ...' |
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[756] | 21 | meshfile = meshes.DYNAMICO_Format(filename) |
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[719] | 22 | |
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| 23 | def coriolis(lon,lat): |
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| 24 | return f+0.*lon |
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| 25 | |
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| 26 | mesh=meshes.Unstructured_Mesh(meshfile, llm, nqdyn, radius, coriolis) |
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| 27 | caldyn = unst.Caldyn_RSW(mesh) |
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| 28 | |
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[776] | 29 | xx,yy = mesh.lon_i, mesh.lat_i |
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[719] | 30 | |
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| 31 | x1,x2,yy = xx-1., xx+1., yy |
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[747] | 32 | u0 = mesh.field_u() # flow initally at rest |
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[719] | 33 | h0 = 1+0.1*(np.exp(-2.*(x1*x1+yy*yy))+ |
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| 34 | np.exp(-2.*(x2*x2+yy*yy))) |
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[773] | 35 | #h0 = 1+0.1*(np.exp(-5.*yy*yy)) |
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| 36 | |
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[756] | 37 | flow0=prec.asnum([h0,u0]) |
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[719] | 38 | |
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| 39 | cfl = .8 |
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| 40 | dt = cfl/math.sqrt((nx/Lx)**2+(ny/Ly)**2) |
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| 41 | |
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[773] | 42 | T=10. |
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[719] | 43 | N=int(T/dt)+1 |
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| 44 | dt=T/N |
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| 45 | print N,dt,Lx/nx |
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[747] | 46 | #scheme = time_step.ARK2(caldyn.bwd_fast_slow, dt, precision=unst.np_num) |
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| 47 | scheme = time_step.RK4(caldyn.bwd_fast_slow, dt, precision=unst.np_num) |
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[719] | 48 | |
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| 49 | flow=flow0 |
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| 50 | |
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| 51 | def minmax(name, x): print('Min/max %s :'%name, x.min(), x.max() ) |
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| 52 | def reshape(data): return data.reshape((nx,ny)) |
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| 53 | |
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| 54 | x, y = map(reshape, (xx,yy) ) |
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| 55 | |
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| 56 | for i in range(10): |
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| 57 | h,u=flow |
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[756] | 58 | flow, fast, slow = caldyn.bwd_fast_slow(flow, prec.zero) |
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[719] | 59 | junk, du_fast = fast |
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| 60 | dh, du_slow = slow |
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| 61 | # minmax('lon',mesh.lon_i) |
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| 62 | # minmax('lat',mesh.lat_i) |
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| 63 | # minmax('x',xx) |
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| 64 | # minmax('y',yy) |
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| 65 | minmax('PV', caldyn.qv-1.) |
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| 66 | # minmax('geopot', caldyn.geopot) |
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| 67 | # minmax('du_fast', du_fast) |
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| 68 | plt.figure(); plt.pcolor(x,y,reshape(caldyn.qv)) |
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| 69 | plt.colorbar(); plt.title('potential vorticity') |
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[747] | 70 | plt.savefig('fig_RSW_2D_mesh/%03d.png'%i) |
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| 71 | plt.close() |
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[719] | 72 | # plt.figure(); plt.pcolor(mesh.x,mesh.y,h) |
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| 73 | # plt.colorbar(); plt.title('h') |
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| 74 | # plt.show() |
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| 75 | # plt.pcolor(x,y,vcomp(u)/dx) |
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| 76 | # plt.colorbar(); plt.title('v') |
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| 77 | # plt.show() |
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| 78 | for j in range(5): |
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| 79 | unst.elapsed=0. |
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| 80 | flow = scheme.advance(flow,N) |
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[747] | 81 | # flow = scheme.advance(flow,5) |
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[719] | 82 | # flops |
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| 83 | # mass flux : 1add+1mul per edge => 4 |
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| 84 | # div U : 4 add per cell => 4 |
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| 85 | # KE : 4*(2add+1mul) per cell => 12 |
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| 86 | # grad KE : 1 add per edge => 2 |
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| 87 | # grad h : 1 add per edge => 2 |
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| 88 | # qv : 4+4+1 add +4mul + 1div per cell => 10 |
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| 89 | # qu : 1add+1mul per edge => 4 |
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| 90 | # TrisK : 4add+4mul+4add+1add per edge => 26 |
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| 91 | # Total : 64 FLOPS/cell |
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| 92 | print i,j, unst.elapsed, 100.*(1.-unst.getvar('elapsed')/unst.elapsed) |
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| 93 | print 'GFlops', 64*(N*nx*ny)/unst.elapsed/1e9 |
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| 94 | unst.setvar('elapsed',0.) |
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