[5565] | 1 | import os |
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| 2 | from math import sqrt, pi |
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| 3 | from shallow_water_domain import * |
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| 4 | from Numeric import allclose, array, zeros, ones, Float, take, sqrt |
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| 5 | from config import g, epsilon |
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| 6 | |
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| 7 | def analytical_sol(C,t): |
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| 8 | |
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| 9 | #t = 0.0 # time (s) |
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| 10 | g = 9.81 # gravity (m/s^2) |
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| 11 | h1 = 10.0 # depth upstream (m) |
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| 12 | h0 = 0.0 # depth downstream (m) |
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| 13 | L = 2000.0 # length of stream/domain (m) |
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| 14 | n = len(C) # number of cells |
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| 15 | |
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| 16 | u = zeros(n,Float) |
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| 17 | h = zeros(n,Float) |
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| 18 | x = C-3*L/4.0 |
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| 19 | |
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| 20 | |
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| 21 | for i in range(n): |
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| 22 | # Calculate Analytical Solution at time t > 0 |
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| 23 | u3 = 2.0/3.0*(sqrt(g*h1)+x[i]/t) |
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| 24 | h3 = 4.0/(9.0*g)*(sqrt(g*h1)-x[i]/(2.0*t))*(sqrt(g*h1)-x[i]/(2.0*t)) |
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| 25 | |
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| 26 | if ( x[i] <= -t*sqrt(g*h1) ): |
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| 27 | u[i] = 0.0 |
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| 28 | h[i] = h1 |
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| 29 | elif ( x[i] <= 2.0*t*sqrt(g*h1) ): |
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| 30 | u[i] = u3 |
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| 31 | h[i] = h3 |
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| 32 | else: |
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| 33 | u[i] = 0.0 |
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| 34 | h[i] = h0 |
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| 35 | |
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| 36 | return h , u*h |
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| 37 | |
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| 38 | #def newLinePlot(title='Simple Plot'): |
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| 39 | # import Gnuplot |
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| 40 | # gg = Gnuplot.Gnuplot(persist=0) |
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| 41 | # gg.terminal(postscript) |
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| 42 | # gg.title(title) |
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| 43 | # gg('set data style linespoints') |
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| 44 | # gg.xlabel('x') |
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| 45 | # gg.ylabel('y') |
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| 46 | # return gg |
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| 47 | |
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| 48 | #def linePlot(gg,x1,y1,x2,y2): |
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| 49 | # import Gnuplot |
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| 50 | # plot1 = Gnuplot.PlotItems.Data(x1.flat,y1.flat,with="linespoints") |
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| 51 | # plot2 = Gnuplot.PlotItems.Data(x2.flat,y2.flat, with="lines 3") |
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| 52 | # g.plot(plot1,plot2) |
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| 53 | |
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| 54 | |
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| 55 | |
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| 56 | print "TEST 1D-SOLUTION III -- DRY BED" |
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| 57 | |
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| 58 | L = 2000.0 # Length of channel (m) |
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[5588] | 59 | N = 800 # Number of compuational cells |
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[5565] | 60 | cell_len = L/N # Origin = 0.0 |
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| 61 | |
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| 62 | points = zeros(N+1,Float) |
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| 63 | for i in range(N+1): |
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| 64 | points[i] = i*cell_len |
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| 65 | |
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| 66 | domain = Domain(points) |
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| 67 | |
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| 68 | def stage(x): |
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| 69 | h1 = 10.0 |
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| 70 | h0 = 0.0 |
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| 71 | y = zeros(len(x),Float) |
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| 72 | for i in range(len(x)): |
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| 73 | if x[i]<=L/4.0: |
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| 74 | y[i] = h0 |
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| 75 | elif x[i]<=3*L/4.0: |
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| 76 | y[i] = h1 |
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| 77 | else: |
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| 78 | y[i] = h0 |
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| 79 | return y |
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| 80 | |
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| 81 | |
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| 82 | import time |
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| 83 | |
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| 84 | finaltime = 20.0 |
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| 85 | yieldstep = 1.0 |
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| 86 | L = 2000.0 # Length of channel (m) |
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| 87 | k = 0 |
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| 88 | |
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| 89 | print "Evaluating domain with %d cells" %N |
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| 90 | cell_len = L/N # Origin = 0.0 |
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| 91 | points = zeros(N+1,Float) |
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| 92 | for j in range(N+1): |
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| 93 | points[j] = j*cell_len |
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| 94 | |
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| 95 | domain = Domain(points) |
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| 96 | |
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| 97 | domain.set_quantity('stage', stage) |
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| 98 | domain.set_boundary({'exterior': Reflective_boundary(domain)}) |
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| 99 | domain.default_order = 2 |
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| 100 | domain.default_time_order = 1 |
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| 101 | domain.cfl = 1.0 |
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| 102 | domain.limiter = "vanleer" |
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| 103 | |
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| 104 | t0 = time.time() |
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| 105 | |
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| 106 | s = 'for t in domain.evolve(yieldstep = yieldstep, finaltime = finaltime): domain.write_time()' |
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| 107 | |
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| 108 | import profile, pstats |
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| 109 | FN = 'profile.dat' |
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| 110 | |
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| 111 | profile.run(s, FN) |
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| 112 | |
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| 113 | #print 'That took %.2f seconds' %(time.time()-t0) |
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| 114 | |
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| 115 | S = pstats.Stats(FN) |
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[5587] | 116 | s = S.sort_stats('cumulative').print_stats(30) |
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[5565] | 117 | |
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| 118 | print s |
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| 119 | |
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| 120 | N = float(N) |
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| 121 | StageC = domain.quantities['stage'].centroid_values |
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| 122 | XmomC = domain.quantities['xmomentum'].centroid_values |
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| 123 | C = domain.centroids |
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| 124 | h, uh = analytical_sol(C,domain.time) |
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| 125 | h_error = 1.0/(N)*sum(abs(h-StageC)) |
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| 126 | uh_error = 1.0/(N)*sum(abs(uh-XmomC)) |
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| 127 | print "h_error %.10f" %(h_error) |
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| 128 | print "uh_error %.10f"% (uh_error) |
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| 129 | |
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| 130 | print 'That took %.2f seconds' %(time.time()-t0) |
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| 131 | |
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