# source:anuga_core/documentation/user_manual/examples/channel_3.py@3753

Last change on this file since 3753 was 3753, checked in by ole, 18 years ago

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1"""Simple water flow example using ANUGA
2
3Water flowing down a channel with more complex topography
4"""
5
6#------------------------------------------------------------------------------
7# Import necessary modules
8#------------------------------------------------------------------------------
9from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross
10from anuga.shallow_water import Domain
11from anuga.shallow_water import Reflective_boundary
12from anuga.shallow_water import Dirichlet_boundary
13from anuga.shallow_water import Time_boundary
14
15
16#------------------------------------------------------------------------------
17# Setup computational domain
18#------------------------------------------------------------------------------
19length = 40.
20width = 5.
21dx = dy = 1           # Resolution: Length of subdivisions on both axes
22#dx = dy = .1           # Resolution: Length of subdivisions on both axes
23
24points, vertices, boundary = rectangular_cross(int(length/dx), int(width/dy),
25                                               len1=length, len2=width)
26domain = Domain(points, vertices, boundary)
27domain.set_name('channel_3')                  # Output name
28
29
30#------------------------------------------------------------------------------
31# Setup initial conditions
32#------------------------------------------------------------------------------
33def topography(x,y):
34    """Complex topography defined by a function of vectors x and y
35    """
36
37    z = -x/10
38
39    N = len(x)
40    for i in range(N):
41
42        #Step
43        if 10 < x[i] < 12:
44            z[i] += 0.4 - 0.05*y[i]
45
46        #Constriction
47        if 27 < x[i] < 29 and y[i] > 3:
48            z[i] += 2
49
50        # Pole
51        if (x[i] - 34)**2 + (y[i] - 2)**2 < 0.4**2:
52            z[i] += 2
53
54    return z
55
56
57domain.set_quantity('elevation', topography)  # Use function for elevation
58domain.set_quantity('friction', 0.01)         # Constant friction
59domain.set_quantity('stage',
60                    expression='elevation')   # Dry initial condition
61
62
63#------------------------------------------------------------------------------
64# Setup boundary conditions
65#------------------------------------------------------------------------------
66Bi = Dirichlet_boundary([0.4, 0, 0])          # Inflow
67Br = Reflective_boundary(domain)              # Solid reflective wall
68Bo = Dirichlet_boundary([-5, 0, 0])           # Outflow
69
70domain.set_boundary({'left': Bi, 'right': Bo, 'top': Br, 'bottom': Br})
71
72
73#------------------------------------------------------------------------------
74# Evolve system through time
75#------------------------------------------------------------------------------
76for t in domain.evolve(yieldstep = 0.2, finaltime = 16.0):
77    domain.write_time()
78
79
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