source: inundation/pyvolution/test_advection.py @ 1794

Last change on this file since 1794 was 1753, checked in by ole, 19 years ago

Embedded caching functionality within quantity.set_values and modified validation example lwru2.py to illustrate the advantages that can be gained from supervised caching.

File size: 4.6 KB
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1import sys
2from os import sep
3sys.path.append('..'+sep+'pyvolution')
4
5import unittest
6from math import sqrt, pi
7
8from config import g, epsilon
9from Numeric import allclose, array, zeros, ones, Float
10from advection import *
11
12
13class Test_Advection(unittest.TestCase):
14    def setUp(self):
15        pass
16
17    def tearDown(self):
18        pass
19
20    def test_init(self):
21        a = [0.0, 0.0]
22        b = [0.0, 2.0]
23        c = [2.0,0.0]
24        d = [0.0, 4.0]
25        e = [2.0, 2.0]
26        f = [4.0,0.0]
27
28        points = [a, b, c, d, e, f]
29        #bac, bce, ecf, dbe, daf, dae
30        vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]]
31
32        domain = Domain(points, vertices)
33        domain.check_integrity()
34
35        assert domain.quantities.has_key('stage')
36
37        assert domain.get_conserved_quantities(0, edge=1) == 0.
38
39
40    def test_flux_1_triangle0(self):
41        a = [0.0, 0.5]
42        b = [0.0, 0.0]
43        c = [0.5, 0.5]
44
45        points = [a, b, c]
46        vertices = [ [0,1,2] ]
47        domain = Domain(points, vertices)
48        domain.check_integrity()
49
50
51        #Populate boundary array with dirichlet conditions.
52        domain.neighbours = array([[-1,-2,-3]])
53        domain.quantities['stage'].boundary_values[:] = 1.0
54
55        domain.order = 1
56
57        domain.distribute_to_vertices_and_edges() #Use first order default
58
59        domain.check_integrity()
60
61        domain.compute_fluxes()
62        U = -domain.quantities['stage'].explicit_update
63        R = -0.5/domain.areas[0]
64
65        assert U==R, '%s %s' %(U, R)
66
67
68    def test_flux_1_triangle1(self):
69
70        a = [0.0, 0.5]
71        b = [0.0, 0.0]
72        c = [0.5, 0.5]
73
74        points = [a, b, c]
75        vertices = [ [0,1,2] ]
76        domain = Domain(points, vertices)
77        domain.check_integrity()
78
79        domain.set_quantity('stage', [1.0], location='centroids')
80
81        domain.distribute_to_vertices_and_edges()
82        domain.check_integrity()
83
84
85        domain.compute_fluxes()
86        U = -domain.quantities['stage'].explicit_update
87        R = 0.5/domain.areas[0]
88
89        assert U==R, '%s %s' %(U, R)
90
91
92
93    def test_flux_1_triangle2(self):
94
95        a = [0.0, 0.5]
96        b = [0.0, 0.0]
97        c = [0.5, 0.5]
98
99        points = [a, b, c]
100        vertices = [ [0,1,2] ]
101        domain = Domain(points, vertices)
102        domain.check_integrity()
103
104
105        #Populate boundary array with dirichlet conditions.
106        domain.neighbours = array([[-1,-2,-3]])
107        domain.quantities['stage'].boundary_values[0] = 1.0
108
109        domain.distribute_to_vertices_and_edges() #Use first order default
110
111        domain.check_integrity()
112
113        domain.compute_fluxes()
114        U = domain.quantities['stage'].explicit_update
115        assert allclose(U, 0)
116
117
118
119
120    def test_flux_2_triangles(self):
121        """Flow between two triangles
122        Check that fluxes have opposite signs
123        """
124
125        a = [0.0, 0.5]
126        b = [0.0, 0.0]
127        c = [0.5, 0.5]
128        d = [0.5, 0.0]
129
130        points = [a, b, c, d]
131        vertices = [ [0,1,2], [3,2,1] ]
132        domain = Domain(points, vertices)
133        domain.check_integrity()
134
135
136        #Populate boundary array with dirichlet conditions.
137        domain.neighbours = array([[1,-1,-2], [0,-3,-4]])
138        domain.set_quantity('stage', [1.0, 0.0], location='centroids')
139        domain.distribute_to_vertices_and_edges()
140
141        domain.compute_fluxes()
142
143        X = domain.quantities['stage'].explicit_update
144        assert X[0] == -X[1]
145
146
147    def test_advection_example(self):
148        #Test that system can evolve
149
150        from mesh_factory import rectangular
151
152        points, vertices, boundary = rectangular(6, 6)
153
154        #Create advection domain with direction (1,-1)
155        domain = Domain(points, vertices, boundary, velocity=[1.0, -1.0])
156
157        # Initial condition is zero by default
158
159        #Boundaries
160        T = Transmissive_boundary(domain)
161        D = Dirichlet_boundary(array([3.1415]))
162
163        domain.set_boundary( {'left': D, 'right': T, 'bottom': T, 'top': T} )
164        domain.check_integrity()
165
166        #Check that the boundary value gets propagated to all elements
167        for t in domain.evolve(yieldstep = 0.05, finaltime = 10):
168            if allclose(domain.quantities['stage'].centroid_values, 3.1415):
169                break
170
171        assert allclose(domain.quantities['stage'].centroid_values, 3.1415)
172
173
174#-------------------------------------------------------------
175if __name__ == "__main__":
176    suite = unittest.makeSuite(Test_Advection,'test')
177    runner = unittest.TextTestRunner()
178    runner.run(suite)
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