[5535] | 1 | import os |
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| 2 | from math import sqrt |
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| 3 | from shallow_water_h import * |
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| 4 | from Numeric import zeros, Float |
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| 5 | from analytic_dam_sudi import AnalyticDam |
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| 6 | |
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| 7 | h0=5.0 |
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| 8 | h1=10.0 |
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| 9 | |
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| 10 | analytical_sol=AnalyticDam(h0,h1) |
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| 11 | |
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| 12 | """ |
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| 13 | def newLinePlot(title='Simple Plot'): |
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| 14 | import Gnuplot |
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| 15 | gg=Gnuplot.Gnuplot(persist=0) |
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| 16 | gg.title(title) |
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| 17 | gg('set data style linespoints') |
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| 18 | gg.xlabel('x') |
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| 19 | gg.ylabel('y') |
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| 20 | return gg |
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| 21 | |
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| 22 | def linePlot(gg, x1, y1, x2, y2): |
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| 23 | import Gnuplot |
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| 24 | plot1=Gnuplot.PlotItems.Data(x1.flat, y1.flat, with="linespoints") |
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| 25 | plot2=Gnuplot.PlotItems.Data(x2.flat, y2.flat, with="lines 3") |
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| 26 | gg.plot(plot1, plot2) |
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| 27 | """ |
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| 28 | |
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| 29 | |
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| 30 | print "TEST 1D-SOLUTION I" |
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| 31 | |
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| 32 | L=2000.0 |
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| 33 | N=100 |
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| 34 | |
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| 35 | cell_len=L/N |
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| 36 | |
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| 37 | points=zeros(N+1, Float) |
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| 38 | for i in range(N+1): |
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| 39 | points[i]=i*cell_len |
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| 40 | |
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| 41 | domain=Domain(points) |
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| 42 | |
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| 43 | domain.default_order = 1 |
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| 44 | domain.default_time_order = 1 |
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| 45 | #domain.cfl = 1.0 |
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| 46 | #domain.limiter = "minmod" |
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| 47 | |
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| 48 | |
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| 49 | |
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| 50 | |
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| 51 | |
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| 52 | |
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| 53 | |
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| 54 | def height(x): |
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| 55 | y=zeros(len(x), Float) |
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| 56 | for i in range (len(x)): |
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| 57 | if x[i]<=L/4.0: |
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| 58 | y[i]=0.0 #h0 |
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| 59 | elif x[i]<=3*L/4.0: |
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| 60 | y[i]=h1 |
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| 61 | else: |
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| 62 | y[i]=h0 |
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| 63 | return y |
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| 64 | |
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| 65 | domain.set_quantity('height', height) |
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| 66 | domain.order=domain.default_order |
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| 67 | print "domain order", domain.order |
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| 68 | |
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| 69 | domain.set_boundary({'exterior':Reflective_boundary(domain)}) |
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| 70 | |
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| 71 | X=domain.vertices |
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| 72 | C=domain.centroids |
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| 73 | #plot1x=newLinePlot("Height") |
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| 74 | #plot2x=newLinePlot("Momentum") |
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| 75 | |
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| 76 | |
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| 77 | import time |
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| 78 | t0=time.time() |
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| 79 | yieldstep=30.0 |
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| 80 | finaltime=30.0 |
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| 81 | print "integral", domain.quantities['height'].get_integral() |
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| 82 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
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| 83 | domain.write_time() |
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| 84 | print "integral", domain.quantities['height'].get_integral() |
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| 85 | if t>0.0: |
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| 86 | HeightQ=domain.quantities['height'].vertex_values |
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| 87 | MomentumQ=domain.quantities['xmomentum'].vertex_values |
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| 88 | h, uh=analytical_sol(X.flat, domain.time) |
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| 89 | #linePlot(plot1x, X, HeightQ, X, h) |
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| 90 | #linePlot(plot2x, X, MomentumQ, X, uh) |
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| 91 | #print "press return" |
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| 92 | #pass |
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| 93 | |
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| 94 | from pylab import plot,title,xlabel,ylabel,legend,savefig,show,hold,subplot |
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| 95 | #print 'Test1' |
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| 96 | hold(False) |
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| 97 | #print 'test 2' |
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| 98 | plot1 = subplot(211) |
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| 99 | #print 'test 3' |
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| 100 | |
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| 101 | plot(X,h,X,HeightQ) |
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| 102 | #print 'Test4' |
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| 103 | plot1.set_ylim([0,11]) |
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| 104 | xlabel('Position') |
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| 105 | ylabel('Stage') |
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| 106 | #legend(('Analytical Solution', 'Numerical Solution'), |
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| 107 | # 'lower right', shadow=False) |
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| 108 | plot2 = subplot(212) |
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| 109 | plot(X,uh,X,MomentumQ) |
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| 110 | #plot2.set_ylim([-5,35]) |
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| 111 | legend(('Analytical Solution', 'Numerical Solution'), |
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| 112 | 'lower right', shadow=False) |
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| 113 | |
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| 114 | xlabel('Position') |
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| 115 | ylabel('Xmomentum') |
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| 116 | |
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| 117 | file = "dam_h_" |
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| 118 | #file += str(number_of_cells[i]) |
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| 119 | file += ".eps" |
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| 120 | #savefig(file) |
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| 121 | show() |
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| 122 | |
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| 123 | print 'That took %.2f seconds'%(time.time()-t0) |
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