1 | print 'Loading DYNAMICO modules ...' |
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2 | from dynamico import unstructured as unst |
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3 | from dynamico.precision import asnum |
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4 | from dynamico.meshes import MPAS_Format, Unstructured_Mesh |
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5 | from dynamico import time_step |
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6 | print '...Done' |
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7 | |
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8 | print 'Loading modules ...' |
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9 | import math as math |
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10 | import matplotlib.pyplot as plt |
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11 | import numpy as np |
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12 | print '...Done' |
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13 | |
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14 | grid, llm, nqdyn = 10242, 1,1 # 2562, 10242, 40962 |
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15 | Omega, radius, g, gh0 = 2.*np.pi/86400., 6.4e6, 1., 2.94e4 |
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16 | N, T, courant = 40, 10800., 1.2 # simulation length = N*T |
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17 | |
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18 | print 'Omega, planetary PV', Omega, 2*Omega/gh0 |
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19 | |
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20 | def f(lon,lat): return 2*Omega*np.sin(lat) # Coriolis parameter |
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21 | print 'Reading MPAS mesh ...' |
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22 | meshfile = MPAS_Format('grids/x1.%d.grid.nc'%grid) |
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23 | mesh=Unstructured_Mesh(meshfile, llm, nqdyn, radius, f) |
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24 | print '...Done' |
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25 | lon, lat = mesh.lon_i, mesh.lat_i |
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26 | x,y,z = np.cos(lat)*np.cos(lon), np.cos(lat)*np.sin(lon), np.sin(lat) |
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27 | |
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28 | unst.setvar('g',g) |
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29 | caldyn = unst.Caldyn_RSW(mesh) |
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30 | |
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31 | c0 = math.sqrt(gh0) # phase speed of barotropic mode |
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32 | dx = mesh.de.min() |
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33 | dt = courant*dx/c0 |
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34 | nt = int(math.ceil(T/dt)) |
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35 | dt = T/nt |
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36 | #scheme = time_step.RKn_simple(1,caldyn.bwd_fast_slow, dt) |
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37 | scheme = time_step.RK4(caldyn.bwd_fast_slow, dt, precision=unst.np_num) |
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38 | |
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39 | print dx, dt, dt*c0/dx |
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40 | print T, nt |
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41 | |
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42 | #mesh.plot_e(mesh.le_de) ; plt.title('le/de') ; plt.show() |
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43 | #mesh.plot_i(mesh.Ai) ; plt.title('Ai') ; plt.show() |
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44 | |
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45 | #Phi0 = gh0*(1+0.1*np.exp(-2000.*(y+1.)**2)) |
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46 | #flow = (Phi0,mesh.field_u()) |
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47 | #for i in range(N): |
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48 | # h,u=flow |
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49 | # plot_i(h) ; plt.title('h'); plt.show() |
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50 | # junk, fast, slow = caldyn.bwd_fast_slow(flow,0.) |
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51 | # print i |
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52 | # flow = scheme.advance(flow, nt) |
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53 | |
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54 | u0 = Omega*radius/12. # cf Williamson (1991), p.13 |
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55 | gh1 = radius*Omega*u0+.5*u0**2 |
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56 | print 'Williamson (1991) test 2, u0=', u0 |
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57 | ulon = u0*np.cos(mesh.lat_e) |
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58 | Phi0 = gh0 - gh1*(np.sin(mesh.lat_i)**2) |
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59 | zeta0 = (2*u0/radius+2*Omega)*np.sin(mesh.lat_v) |
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60 | Phi0v = gh0 - (radius*Omega*u0+.5*u0**2)*(np.sin(mesh.lat_v)**2) |
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61 | q0 = zeta0/Phi0v |
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62 | fu_perp = mesh.ucov2D(0.*ulon,2*Omega*np.sin(mesh.lat_e)*ulon) |
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63 | |
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64 | flow = asnum([Phi0, mesh.ucov2D(ulon,0.*ulon)]) |
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65 | print 'type of Phi0,u0 : ', flow[0].dtype, flow[1].dtype |
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66 | |
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67 | for i in range(N): |
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68 | h,u=flow |
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69 | mesh.plot_i(h-Phi0) ; plt.title('err(gh)'); |
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70 | plt.savefig('fig_RSW_MPAS_W02/err_gh_%02d.png'%i) |
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71 | plt.close() |
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72 | # junk, fast, slow = caldyn.bwd_fast_slow(flow,0.) |
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73 | # plot_i(slow[0]) ; plt.title('dh/dt'); plt.show() |
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74 | # plot_e(slow[1]+fast[1]) ; plt.title('du/dt'); plt.show() |
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75 | # plt.figure(); plt.plot(fu_perp,slow[1],'.'); |
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76 | # plt.xlabel('fu_perp'); plt.ylabel('u_slow'); plt.show() |
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77 | # plt.figure(); plt.plot(fu_perp,fast[1],'.'); |
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78 | # plt.xlabel('fu_perp'); plt.ylabel('u_fast'); plt.show() |
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79 | # plot_e(fast[1]) ; plt.title('u_fast'); plt.show() |
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80 | # plot_e(slow[1]) ; plt.title('u_slow'); plt.show() |
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81 | # plt.figure(); plt.plot(q0,caldyn.qv,'.'); |
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82 | # plt.xlabel('q0'); plt.ylabel('qv'); plt.show() |
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83 | print i, h.min(), h.max() |
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84 | flow = scheme.advance(flow, nt) |
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85 | |
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86 | print 'Time spent in DYNAMICO (s) : ', unst.getvar('elapsed') |
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