# source:inundation/pyvolution/netherlands.py@1884

Last change on this file since 1884 was 1828, checked in by ole, 18 years ago

Nitnoi

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1"""Example of shallow water wave equation.
2
3This is called Netherlands because it shows a dam with a gap in it and
4stylised housed behind it and below the water surface.
5
6"""
7
8######################
9# Module imports
10#
11#import rpdb
12#rpdb.set_active()
13
14from shallow_water import Domain, Reflective_boundary, Dirichlet_boundary,\
15     Transmissive_boundary, Constant_height, Constant_stage
16
17from mesh_factory import rectangular
18from Numeric import array
19
20
21class Weir:
22    """Set a bathymetry for simple weir with a hole.
23    x,y are assumed to be in the unit square
24    """
25
26    def __init__(self, stage):
27        self.inflow_stage = stage
28
29    def __call__(self, x, y):
30        from Numeric import zeros, Float
31
32        N = len(x)
33        assert N == len(y)
34
35        z = zeros(N, Float)
36        for i in range(N):
37            z[i] = -x[i]/20  #General slope
38
39            #Flattish bit to the left
40            if x[i] <= 0.3:
41                #z[i] = -x[i]/5
42                z[i] = -x[i]/20
43
44
45            #Weir
46            if x[i] > 0.3 and x[i] < 0.4:
47                z[i] = -x[i]/20+1.2
48
49            #Dip
50            #if x[i] > 0.6 and x[i] < 0.9:
51            #    z[i] = -x[i]/20-0.5  #-y[i]/5
52
53            #Hole in weir
54            #if x[i] > 0.3 and x[i] < 0.4 and y[i] > 0.2 and y[i] < 0.4:
55            if x[i] > 0.3 and x[i] < 0.4 and y[i] > 0.4 and y[i] < 0.6:
56                #z[i] = -x[i]/5
57                z[i] = -x[i]/20
58
59            #Poles
60            #if x[i] > 0.65 and x[i] < 0.8 and y[i] > 0.55 and y[i] < 0.65 or\
61            #       x[i] > 0.75 and x[i] < 0.9 and y[i] > 0.35 and y[i] < 0.45:
62            #    z[i] = -x[i]/20+0.4
63
64            if (x[i] - 0.72)**2 + (y[i] - 0.6)**2 < 0.05**2:# or\
65                   #x[i] > 0.75 and x[i] < 0.9 and y[i] > 0.35 and y[i] < 0.45:
66                z[i] = -x[i]/20+0.4
67
68
69            #Wall
70            if x[i] > 0.995:
71                z[i] = -x[i]/20+0.3
72
73        return z/2
74
75
76
77######################
78# Domain
79#
80
81
82N = 150 #size = 45000
83N = 130 #size = 33800
84N = 600 #Size = 720000
85N = 50
86
87
88#N = 15
89
90print 'Creating domain'
91#Create basic mesh
92points, vertices, boundary = rectangular(N, N)
93
94#Create shallow water domain
95domain = Domain(points, vertices, boundary, use_inscribed_circle=True)
96
97domain.check_integrity()
98domain.default_order = 2
99#domain.beta_h=0
100
101#Output params
102domain.smooth = False
103domain.reduction = min  #Looks a lot better on top of steep slopes
104
105print "Number of triangles = ", len(domain)
106print "Extent = ", domain.get_extent()
107
108#Set bed-slope and friction
109inflow_stage = 0.1
110manning = 0.03
111Z = Weir(inflow_stage)
112
113if N > 150:
114    domain.visualise = False
115    domain.checkpoint = False
116    domain.store = True    #Store for visualisation purposes
117    domain.format = 'sww'   #Native netcdf visualisation format
118    import sys, os
119    #FIXME: This was os.path.splitext but caused weird filenames based on root
120    base = os.path.basename(sys.argv[0])
121    domain.filename, _ = os.path.splitext(base)
122else:
123    domain.initialise_visualiser(rect=[0.0,0.0,1.0,1.0])
124    #domain.initialise_visualiser()
125    #domain.visualiser.coloring['stage'] = False
126    domain.visualise_timer = True
127    domain.checkpoint = False
128    domain.store = False
129
130
131
132
133print 'Field values'
134domain.set_quantity('elevation', Z)
135domain.set_quantity('friction', manning)
136
137
138######################
139# Boundary conditions
140#
141print 'Boundaries'
142Br = Reflective_boundary(domain)
143Bt = Transmissive_boundary(domain)
144
145#Constant inflow
146Bd = Dirichlet_boundary([inflow_stage, 0.0, 0.0])
147
148
149#Set boundary conditions
150domain.set_boundary({'left': Bd, 'right': Br, 'bottom': Br, 'top': Br})
151
152
153######################
154#Initial condition
155#
156print 'Initial condition'
157#domain.set_quantity('stage', Constant_height(Z, 0.0))
158domain.set_quantity('stage', Constant_stage(inflow_stage/2.0))
159
160#Evolve
161import time
162t0 = time.time()
163
164
165#from realtime_visualisation_new import Visualiser
166#V = Visualiser(domain,title='netherlands')
167#V.update_quantity('stage')
168#V.update_quantity('elevation')
169
170for t in domain.evolve(yieldstep = 0.02, finaltime = 15.0):
171    domain.write_time()
172    domain.write_boundary()
173
174    print domain.quantities['stage'].get_values(location='centroids',
175                                                indices=[0])
176    #V.update_quantity('stage')
177    #rpdb.set_active()
178    #domain.visualiser.scale_z = 1.0
179    #domain.visualiser.update_quantity_color('xmomentum',scale_z = 4.0)
180    #integral_label.text='Integral=%10.5e'%domain.quantities['stage'].get_integral()
181
182
183print 'That took %.2f seconds' %(time.time()-t0)
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