1 | import os |
---|
2 | import time |
---|
3 | from math import sqrt, sin, cos, pi, exp |
---|
4 | from shallow_water_domain_suggestion2 import * |
---|
5 | from Numeric import zeros, Float |
---|
6 | from pylab import plot,title,xlabel,ylabel,legend,savefig,show,hold,subplot |
---|
7 | |
---|
8 | print "TEST 1D-SOLUTION I" |
---|
9 | L=2000.0 |
---|
10 | N=200 |
---|
11 | |
---|
12 | cell_len=L/N |
---|
13 | points=zeros(N+1, Float) |
---|
14 | for i in range(N+1): |
---|
15 | points[i]=i*cell_len |
---|
16 | |
---|
17 | domain=Domain(points) |
---|
18 | domain.order = 2 |
---|
19 | domain.set_timestepping_method('rk2') |
---|
20 | domain.cfl = 1.0 |
---|
21 | domain.limiter = "vanleer" |
---|
22 | |
---|
23 | def stage_flat(x): |
---|
24 | y=zeros(len(x), Float) |
---|
25 | for i in range(len(x)): |
---|
26 | y[i]=4.0 |
---|
27 | return y |
---|
28 | |
---|
29 | def elevation_arbitrary(x): |
---|
30 | y=zeros(len(x), Float) |
---|
31 | for i in range(len(x)): |
---|
32 | if 0 <= x[i] < 200.0: |
---|
33 | y[i] = -0.01*(x[i]-200) + 4.0 |
---|
34 | elif 200.0 <= x[i] < 300.0: |
---|
35 | y[i] = -0.02*(x[i]-200) + 4.0 |
---|
36 | elif 300.0 <= x[i] < 400.0: |
---|
37 | y[i] = -0.01*(x[i]-300) + 2.0 |
---|
38 | elif 400.0 <= x[i] < 550.0: |
---|
39 | y[i] = (-1/75.0)*(x[i]-400.0) + 2.0 |
---|
40 | elif 550.0 <= x[i] < 700.0: |
---|
41 | y[i] = (1/11250)*(x[i]-550)*(x[i]-550) |
---|
42 | elif 700.0 <= x[i] < 800.0: |
---|
43 | y[i] = 0.03*(x[i]-700) |
---|
44 | elif 800.0 <= x[i] < 900.0: |
---|
45 | y[i] = -0.03*(x[i]-800) + 3.0 |
---|
46 | elif 900.0 <= x[i] < 1000.0: |
---|
47 | y[i] = 6.0 |
---|
48 | elif 1000.0 <= x[i] < 1400.0: |
---|
49 | y[i] = (-1.0/20000)*(x[i]-1000)*(x[i]-1400) |
---|
50 | elif 1400.0 <= x[i] < 1500.0: |
---|
51 | y[i] = 0.0 |
---|
52 | elif 1500.0 <= x[i] < 1700.0: |
---|
53 | y[i] = 3.0 |
---|
54 | elif 1700.0 <= x[i] < 1800.0: |
---|
55 | y[i] = -0.03*(x[i]-1700) + 3.0 |
---|
56 | else: |
---|
57 | y[i] = (3.0/40000)*(x[i]-1800)*(x[i]-1800) + 2.0 |
---|
58 | return y |
---|
59 | |
---|
60 | def elevation_arbitrary1(x): |
---|
61 | y=zeros(len(x), Float) |
---|
62 | for i in range(len(x)): |
---|
63 | if 0 <= x[i] < 200.0: |
---|
64 | y[i] = -0.01*(x[i]-200) + 5.0 |
---|
65 | elif 200.0 <= x[i] < 900.0: |
---|
66 | y[i] = 0.0 |
---|
67 | elif 900.0 <= x[i] < 1000.0: # This is the island |
---|
68 | y[i] = 5.0 |
---|
69 | elif 1000.0 <= x[i] < 1800.0: |
---|
70 | y[i] = 0.0 |
---|
71 | else: |
---|
72 | y[i] = 0.03*(x[i]-1700) + 3.0 |
---|
73 | return y |
---|
74 | |
---|
75 | def elevation_arbitrary2(x): |
---|
76 | y=zeros(len(x), Float) |
---|
77 | for i in range(len(x)): |
---|
78 | if 0 <= x[i] < 1000.0: # This is the island |
---|
79 | y[i] = 5.0 |
---|
80 | else: |
---|
81 | y[i] = 0.0 |
---|
82 | return y |
---|
83 | |
---|
84 | domain.set_quantity('stage',stage_flat) |
---|
85 | domain.set_quantity('elevation',elevation_arbitrary) |
---|
86 | domain.set_boundary({'exterior':Reflective_boundary(domain)}) |
---|
87 | X=domain.vertices.flat |
---|
88 | C=domain.centroids.flat |
---|
89 | |
---|
90 | t0=time.time() |
---|
91 | yieldstep=finaltime=60.0 |
---|
92 | while finaltime < 60.2: |
---|
93 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
---|
94 | domain.write_time() |
---|
95 | print "t=",t |
---|
96 | print "integral", domain.quantities['height'].get_integral() |
---|
97 | StageQ=domain.quantities['stage'].vertex_values.flat |
---|
98 | MomentumQ=domain.quantities['xmomentum'].vertex_values.flat |
---|
99 | ElevationQ=domain.quantities['elevation'].vertex_values.flat |
---|
100 | VelocityQ=domain.quantities['velocity'].vertex_values.flat |
---|
101 | |
---|
102 | hold(False) |
---|
103 | plot1 = subplot(311) |
---|
104 | plot(X,StageQ, X,ElevationQ) |
---|
105 | plot1.set_ylim([-1.0,8.0]) |
---|
106 | xlabel('Position') |
---|
107 | ylabel('Stage') |
---|
108 | legend( ('Numerical Solution', 'Bed Elevation'), 'upper right', shadow=False) |
---|
109 | |
---|
110 | plot2 = subplot(312) |
---|
111 | plot(X,MomentumQ) |
---|
112 | #plot2.set_ylim([3.998,4.002]) |
---|
113 | legend( ('Numerical Solution', 'for momentum'), 'upper right', shadow=False) |
---|
114 | xlabel('Position') |
---|
115 | ylabel('Xmomentum') |
---|
116 | |
---|
117 | plot3 = subplot(313) |
---|
118 | plot(X,VelocityQ) |
---|
119 | #plot2.set_ylim([-5.0,30.0]) |
---|
120 | legend( ('Numerical Solution', 'for velocity'), 'upper right', shadow=False) |
---|
121 | xlabel('Position') |
---|
122 | ylabel('Velocity') |
---|
123 | |
---|
124 | file = "island_" |
---|
125 | file += str(finaltime) |
---|
126 | file += ".png" |
---|
127 | #savefig(file) |
---|
128 | show() |
---|
129 | |
---|
130 | print 'That took %.2f seconds'%(time.time()-t0) |
---|
131 | finaltime = finaltime + 10.0 |
---|
132 | raw_input("Press return key") |
---|