[5845] | 1 | import os |
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| 2 | from math import sqrt, pi |
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| 3 | from shallow_water_vel_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 | |
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| 8 | h1 = 10.0 |
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| 9 | h0 = 0.0 |
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| 10 | |
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| 11 | def analytical_sol(C,t): |
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| 12 | |
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| 13 | #t = 0.0 # time (s) |
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| 14 | # gravity (m/s^2) |
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| 15 | #h1 = 10.0 # depth upstream (m) |
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| 16 | #h0 = 0.0 # depth downstream (m) |
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| 17 | L = 2000.0 # length of stream/domain (m) |
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| 18 | n = len(C) # number of cells |
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| 19 | |
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| 20 | u = zeros(n,Float) |
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| 21 | h = zeros(n,Float) |
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| 22 | x = C-3*L/4.0 |
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| 23 | |
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| 24 | |
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| 25 | for i in range(n): |
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| 26 | # Calculate Analytical Solution at time t > 0 |
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| 27 | u3 = 2.0/3.0*(sqrt(g*h1)+x[i]/t) |
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| 28 | 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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| 29 | u3_ = 2.0/3.0*((x[i]+L/2.0)/t-sqrt(g*h1)) |
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| 30 | h3_ = 1.0/(9.0*g)*((x[i]+L/2.0)/t+2*sqrt(g*h1))*((x[i]+L/2.0)/t+2*sqrt(g*h1)) |
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| 31 | |
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| 32 | if ( x[i] <= -1*L/2.0+2*(-sqrt(g*h1)*t)): |
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| 33 | u[i] = 0.0 |
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| 34 | h[i] = h0 |
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| 35 | elif ( x[i] <= -1*L/2.0-(-sqrt(g*h1)*t)): |
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| 36 | u[i] = u3_ |
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| 37 | h[i] = h3_ |
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| 38 | |
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| 39 | elif ( x[i] <= -t*sqrt(g*h1) ): |
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| 40 | u[i] = 0.0 |
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| 41 | h[i] = h1 |
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| 42 | elif ( x[i] <= 2.0*t*sqrt(g*h1) ): |
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| 43 | u[i] = u3 |
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| 44 | h[i] = h3 |
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| 45 | else: |
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| 46 | u[i] = 0.0 |
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| 47 | h[i] = h0 |
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| 48 | |
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| 49 | return h , u*h, u |
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| 50 | |
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| 51 | print "TEST 1D-SOLUTION III -- DRY BED" |
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| 52 | |
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| 53 | def stage(x): |
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| 54 | y = zeros(len(x),Float) |
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| 55 | for i in range(len(x)): |
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| 56 | if x[i]<=L/4.0: |
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| 57 | y[i] = h0 |
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| 58 | elif x[i]<=3*L/4.0: |
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| 59 | y[i] = h1 |
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| 60 | else: |
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| 61 | y[i] = h0 |
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| 62 | return y |
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| 63 | |
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| 64 | |
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| 65 | import time |
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| 66 | |
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[6042] | 67 | finaltime = 2.0 |
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| 68 | yieldstep = 0.1 |
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[5845] | 69 | L = 2000.0 # Length of channel (m) |
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[6042] | 70 | |
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[5845] | 71 | k = 0 |
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[6042] | 72 | |
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| 73 | N = 800 |
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| 74 | print "Evaluating domain with %d cells" %N |
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| 75 | cell_len = L/N # Origin = 0.0 |
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| 76 | points = zeros(N+1,Float) |
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| 77 | |
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| 78 | for j in range(N+1): |
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| 79 | points[j] = j*cell_len |
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[6453] | 80 | |
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| 81 | domain = Domain(points) |
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| 82 | |
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[6042] | 83 | domain.set_quantity('stage', stage) |
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[6453] | 84 | domain.set_boundary({'exterior': Reflective_boundary(domain)}) |
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[6042] | 85 | domain.order = 2 |
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| 86 | domain.set_timestepping_method('euler') |
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| 87 | domain.set_CFL(1.0) |
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| 88 | domain.set_limiter("vanleer") |
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| 89 | #domain.h0=0.0001 |
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[5845] | 90 | |
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[6042] | 91 | t0 = time.time() |
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[5845] | 92 | |
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[6042] | 93 | for t in domain.evolve(yieldstep = yieldstep, finaltime = finaltime): |
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| 94 | domain.write_time() |
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[5845] | 95 | |
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[6042] | 96 | print 'end' |
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| 97 | |
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| 98 | |
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