[617] | 1 | import sys |
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| 2 | print 'Loading modules ...' |
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| 3 | sys.stdout.flush() |
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| 4 | |
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| 5 | import math as math |
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| 6 | # select non-interactive backend, cf http://stackoverflow.com/questions/4931376/generating-matplotlib-graphs-without-a-running-x-server |
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| 7 | import matplotlib |
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| 8 | matplotlib.use('Agg') |
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| 9 | import matplotlib.pyplot as plt |
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| 10 | import numpy as np |
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| 11 | |
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| 12 | print 'Loading DYNAMICO modules ...' |
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| 13 | sys.stdout.flush() |
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| 14 | from dynamico import unstructured as unst |
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| 15 | from dynamico import time_step |
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| 16 | print '...Done' |
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| 17 | sys.stdout.flush() |
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| 18 | |
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| 19 | grid, llm, nqdyn = 10242, 1,1 # 2562, 10242, 40962 |
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| 20 | Omega, radius, g, gh0 = 2.*np.pi/86400., 6.4e6, 1., 2.94e4 |
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| 21 | N, T, courant = 40, 10800., 1.2 # simulation length = N*T |
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| 22 | |
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| 23 | print 'Omega, planetary PV', Omega, 2*Omega/gh0 |
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| 24 | sys.stdout.flush() |
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| 25 | |
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| 26 | def f(lon,lat): return 2*Omega*np.sin(lat) # Coriolis parameter |
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| 27 | print 'Reading MPAS mesh ...' |
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| 28 | sys.stdout.flush() |
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| 29 | mesh = unst.MPAS_Mesh('grids/x1.%d.grid.nc'%grid, llm, nqdyn, radius, f) |
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| 30 | print '...Done' |
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| 31 | sys.stdout.flush() |
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| 32 | lon, lat = mesh.lon_i, mesh.lat_i |
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| 33 | x,y,z = np.cos(lat)*np.cos(lon), np.cos(lat)*np.sin(lon), np.sin(lat) |
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| 34 | |
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| 35 | unst.setvar('g',g) |
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| 36 | caldyn = unst.Caldyn_RSW(mesh) |
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| 37 | |
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| 38 | c0 = math.sqrt(gh0) # phase speed of barotropic mode |
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| 39 | dx = mesh.de.min() |
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| 40 | dt = courant*dx/c0 |
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| 41 | nt = int(math.ceil(T/dt)) |
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| 42 | dt = T/nt |
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| 43 | #scheme = time_step.RKn_simple(1,caldyn.bwd_fast_slow, dt) |
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| 44 | scheme = time_step.RK4(caldyn.bwd_fast_slow, dt) |
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| 45 | |
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| 46 | print dx, dt, dt*c0/dx |
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| 47 | print T, nt |
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| 48 | |
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| 49 | #mesh.plot_e(mesh.le_de) ; plt.title('le/de') ; plt.show() |
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| 50 | #mesh.plot_i(mesh.Ai) ; plt.title('Ai') ; plt.show() |
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| 51 | |
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| 52 | #Phi0 = gh0*(1+0.1*np.exp(-2000.*(y+1.)**2)) |
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| 53 | #flow = (Phi0,mesh.field_u()) |
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| 54 | #for i in range(N): |
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| 55 | # h,u=flow |
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| 56 | # plot_i(h) ; plt.title('h'); plt.show() |
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| 57 | # junk, fast, slow = caldyn.bwd_fast_slow(flow,0.) |
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| 58 | # print i |
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| 59 | # flow = scheme.advance(flow, nt) |
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| 60 | |
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| 61 | u0 = Omega*radius/12. # cf Williamson (1991), p.13 |
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| 62 | gh1 = radius*Omega*u0+.5*u0**2 |
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| 63 | print 'Williamson (1991) test 2, u0=', u0 |
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| 64 | ulon = u0*np.cos(mesh.lat_e) |
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| 65 | Phi0 = gh0 - gh1*(np.sin(mesh.lat_i)**2) |
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| 66 | zeta0 = (2*u0/radius+2*Omega)*np.sin(mesh.lat_v) |
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| 67 | Phi0v = gh0 - (radius*Omega*u0+.5*u0**2)*(np.sin(mesh.lat_v)**2) |
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| 68 | q0 = zeta0/Phi0v |
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| 69 | fu_perp = mesh.ucov2D(0.*ulon,2*Omega*np.sin(mesh.lat_e)*ulon) |
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| 70 | |
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| 71 | flow = (Phi0,mesh.ucov2D(ulon,0.*ulon)) |
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| 72 | for i in range(N): |
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| 73 | h,u=flow |
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| 74 | mesh.plot_i(h-Phi0) ; plt.title('err(gh)'); |
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| 75 | plt.savefig('fig_RSW_MPAS_W02/err_gh_%02d.png'%i) |
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| 76 | plt.close() |
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| 77 | # junk, fast, slow = caldyn.bwd_fast_slow(flow,0.) |
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| 78 | # plot_i(slow[0]) ; plt.title('dh/dt'); plt.show() |
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| 79 | # plot_e(slow[1]+fast[1]) ; plt.title('du/dt'); plt.show() |
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| 80 | # plt.figure(); plt.plot(fu_perp,slow[1],'.'); |
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| 81 | # plt.xlabel('fu_perp'); plt.ylabel('u_slow'); plt.show() |
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| 82 | # plt.figure(); plt.plot(fu_perp,fast[1],'.'); |
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| 83 | # plt.xlabel('fu_perp'); plt.ylabel('u_fast'); plt.show() |
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| 84 | # plot_e(fast[1]) ; plt.title('u_fast'); plt.show() |
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| 85 | # plot_e(slow[1]) ; plt.title('u_slow'); plt.show() |
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| 86 | # plt.figure(); plt.plot(q0,caldyn.qv,'.'); |
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| 87 | # plt.xlabel('q0'); plt.ylabel('qv'); plt.show() |
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| 88 | print i, h.min(), h.max() |
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| 89 | flow = scheme.advance(flow, nt) |
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