[7884] | 1 | import os |
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| 2 | import random |
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| 3 | from math import sqrt, pow, pi ,sin, cos |
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| 4 | import numpy |
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| 5 | |
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| 6 | from anuga_1d.channel.channel_domain import * |
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| 7 | |
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| 8 | from anuga_1d.config import g, epsilon |
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| 9 | |
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| 10 | |
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| 11 | |
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| 12 | print "Variable Width Only Test" |
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| 13 | |
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| 14 | # Define functions for initial quantities |
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| 15 | def initial_stage(x): |
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| 16 | z_infty = 10.0 ## max equilibrium water depth at lowest point. |
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| 17 | L_x = 2500.0 ## width of channel |
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| 18 | A0 = 0.5*L_x ## determines amplitudes of oscillations |
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| 19 | omega = sqrt(2*g*z_infty)/L_x ## angular frequency of osccilation |
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| 20 | t=0.0 |
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| 21 | y = numpy.zeros(len(x),numpy.float) |
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| 22 | for i in range(len(x)): |
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| 23 | #y[i] = z_infty+2*A0*z_infty/L_x*cos(omega*t)*(x[i]/L_x-0.5*A0/(L_x)*cos(omega*t)) |
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| 24 | y[i] = 12.0 |
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| 25 | return y |
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| 26 | |
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| 27 | def bed(x): |
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| 28 | N = len(x) |
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| 29 | z_infty = 10.0 |
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| 30 | z = numpy.zeros(N,numpy.float) |
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| 31 | L_x = 2500.0 |
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| 32 | A0 = 0.5*L_x |
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| 33 | omega = sqrt(2*g*z_infty)/L_x |
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| 34 | for i in range(N): |
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| 35 | z[i] = z_infty*(x[i]**2/L_x**2) |
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| 36 | return z |
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| 37 | |
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| 38 | def initial_area(x): |
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| 39 | y = numpy.zeros(len(x),numpy.float) |
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| 40 | for i in range(len(x)): |
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| 41 | y[i]=initial_stage([x[i]])-bed([x[i]]) |
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| 42 | |
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| 43 | return y |
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| 44 | |
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| 45 | def width(x): |
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| 46 | return 1 |
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| 47 | |
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| 48 | import time |
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| 49 | |
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| 50 | |
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| 51 | |
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| 52 | # Set final time and yield time for simulation |
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| 53 | finaltime = 10.0 |
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| 54 | yieldstep = finaltime |
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| 55 | |
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| 56 | # Length of channel (m) |
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| 57 | L = 2500.0 |
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| 58 | # Define the number of cells |
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| 59 | number_of_cells = [50] |
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| 60 | |
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| 61 | # Define cells for finite volume and their size |
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| 62 | N = int(number_of_cells[0]) |
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| 63 | print "Evaluating domain with %d cells" %N |
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| 64 | cell_len = 4*L/N # Origin = 0.0 |
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| 65 | points = numpy.zeros(N+1,numpy.float) |
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| 66 | for i in range(N+1): |
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| 67 | points[i] = -2*L +i*cell_len |
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| 68 | |
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| 69 | |
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| 70 | |
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| 71 | # Create domain with centroid points as defined above |
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| 72 | domain = Domain(points) |
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| 73 | |
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| 74 | |
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| 75 | # Set initial values of quantities - default to zero |
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| 76 | domain.set_quantity('area', initial_area) |
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| 77 | domain.set_quantity('elevation',bed) |
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| 78 | domain.set_quantity('width',width) |
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| 79 | |
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| 80 | # Set boundry type, order, timestepping method and limiter |
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| 81 | domain.set_boundary({'exterior':Reflective_boundary(domain)}) |
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| 82 | domain.order = 2 |
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| 83 | domain.set_timestepping_method('euler') |
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| 84 | domain.set_CFL(1.0) |
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| 85 | domain.set_limiter("vanleer") |
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| 86 | #domain.h0=0.0001 |
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| 87 | |
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| 88 | # Start timer |
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| 89 | t0 = time.time() |
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| 90 | |
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| 91 | |
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| 92 | |
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| 93 | |
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| 94 | |
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| 95 | for t in domain.evolve(yieldstep = yieldstep, finaltime = finaltime): |
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| 96 | domain.write_time() |
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| 97 | |
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| 98 | N = float(N) |
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| 99 | HeightC = domain.quantities['height'].centroid_values |
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| 100 | DischargeC = domain.quantities['discharge'].centroid_values |
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| 101 | C = domain.centroids |
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| 102 | print 'That took %.2f seconds' %(time.time()-t0) |
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| 103 | X = domain.vertices |
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| 104 | HeightQ = domain.quantities['area'].vertex_values |
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| 105 | VelocityQ = domain.quantities['velocity'].vertex_values |
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| 106 | Z = domain.quantities['elevation'].vertex_values |
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| 107 | Stage = HeightQ + Z |
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| 108 | |
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| 109 | |
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| 110 | |
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| 111 | from pylab import plot,title,xlabel,ylabel,legend,savefig,show,hold,subplot |
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| 112 | |
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| 113 | hold(False) |
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| 114 | |
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| 115 | plot1 = subplot(211) |
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| 116 | plot(X.flat,Z.flat, X.flat,Stage.flat) |
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| 117 | |
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| 118 | plot1.set_ylim([-1,35]) |
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| 119 | xlabel('Position') |
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| 120 | ylabel('Stage') |
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| 121 | legend(('Analytical Solution', 'Numerical Solution'), |
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| 122 | 'upper right', shadow=True) |
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| 123 | plot2 = subplot(212) |
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| 124 | plot(X.flat,VelocityQ.flat) |
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| 125 | plot2.set_ylim([-10,10]) |
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| 126 | |
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| 127 | xlabel('Position') |
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| 128 | ylabel('Velocity') |
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| 129 | |
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| 130 | show() |
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