| 1 | #!/usr/bin/env python |
|---|
| 2 | |
|---|
| 3 | import unittest |
|---|
| 4 | from math import sqrt, pi |
|---|
| 5 | |
|---|
| 6 | |
|---|
| 7 | from sww_domain import * |
|---|
| 8 | import sww_python |
|---|
| 9 | |
|---|
| 10 | |
|---|
| 11 | import numpy |
|---|
| 12 | |
|---|
| 13 | |
|---|
| 14 | class Test_Shallow_Water(unittest.TestCase): |
|---|
| 15 | def setUp(self): |
|---|
| 16 | self.points = [0.0, 1.0, 2.0, 3.0] |
|---|
| 17 | self.vertex_values = [[1.0,2.0],[4.0,5.0],[-1.0,2.0]] |
|---|
| 18 | self.points2 = [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0] |
|---|
| 19 | |
|---|
| 20 | def tearDown(self): |
|---|
| 21 | pass |
|---|
| 22 | #print " Tearing down" |
|---|
| 23 | |
|---|
| 24 | |
|---|
| 25 | def test_creation(self): |
|---|
| 26 | domain = Domain(self.points) |
|---|
| 27 | assert numpy.allclose(domain.centroids, [0.5, 1.5, 2.5]) |
|---|
| 28 | |
|---|
| 29 | def test_compute_fluxes(self): |
|---|
| 30 | """ |
|---|
| 31 | Compare shallow_water_domain flux calculation against a previous |
|---|
| 32 | Python implementation (defined in this file) |
|---|
| 33 | """ |
|---|
| 34 | domain = Domain(self.points) |
|---|
| 35 | domain.set_quantity('stage',2.0) |
|---|
| 36 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
|---|
| 37 | |
|---|
| 38 | stage_ud, xmom_ud = sww_python.compute_fluxes(domain) |
|---|
| 39 | |
|---|
| 40 | domain.distribute_to_vertices_and_edges() |
|---|
| 41 | domain.compute_fluxes() |
|---|
| 42 | |
|---|
| 43 | assert numpy.allclose( domain.quantities['stage'].explicit_update, stage_ud ) |
|---|
| 44 | assert numpy.allclose( domain.quantities['xmomentum'].explicit_update, xmom_ud ) |
|---|
| 45 | |
|---|
| 46 | |
|---|
| 47 | def test_sww_python_flux_function(self): |
|---|
| 48 | normal = 1.0 |
|---|
| 49 | ql = numpy.array([1.0, 2.0],numpy.float) |
|---|
| 50 | qr = numpy.array([1.0, 2.0],numpy.float) |
|---|
| 51 | zl = 0.0 |
|---|
| 52 | zr = 0.0 |
|---|
| 53 | |
|---|
| 54 | #This assumes h0 = 1.0e-3!! |
|---|
| 55 | edgeflux, maxspeed = sww_python.flux_function(normal, ql,qr,zl,zr) |
|---|
| 56 | #print maxspeed |
|---|
| 57 | #print edgeflux |
|---|
| 58 | |
|---|
| 59 | assert numpy.allclose([2.0, 8.9], edgeflux, rtol=1.0e-005) |
|---|
| 60 | assert numpy.allclose(5.1305, maxspeed, rtol=1.0e-005) |
|---|
| 61 | |
|---|
| 62 | normal = -1.0 |
|---|
| 63 | ql = numpy.array([1.0, 2.0],numpy.float) |
|---|
| 64 | qr = numpy.array([1.0, 2.0],numpy.float) |
|---|
| 65 | zl = 0.0 |
|---|
| 66 | zr = 0.0 |
|---|
| 67 | |
|---|
| 68 | edgeflux, maxspeed = sww_python.flux_function(normal, ql,qr,zl,zr) |
|---|
| 69 | |
|---|
| 70 | |
|---|
| 71 | #print maxspeed |
|---|
| 72 | #print edgeflux |
|---|
| 73 | |
|---|
| 74 | assert numpy.allclose([-2.0, -8.9], edgeflux, rtol=1.0e-005) |
|---|
| 75 | assert numpy.allclose(5.1305, maxspeed, rtol=1.0e-005) |
|---|
| 76 | |
|---|
| 77 | |
|---|
| 78 | |
|---|
| 79 | def test_gravity_for_loops(self): |
|---|
| 80 | """ |
|---|
| 81 | Compare shallow_water_domain gravity calculation |
|---|
| 82 | """ |
|---|
| 83 | |
|---|
| 84 | def slope_one(x): |
|---|
| 85 | return x |
|---|
| 86 | |
|---|
| 87 | domain = Domain(self.points) |
|---|
| 88 | domain.set_quantity('stage',4.0) |
|---|
| 89 | domain.set_quantity('elevation',slope_one) |
|---|
| 90 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
|---|
| 91 | |
|---|
| 92 | domain.set_spatial_order(1) |
|---|
| 93 | domain.distribute_to_vertices_and_edges() |
|---|
| 94 | |
|---|
| 95 | gravity_for_loops(domain) |
|---|
| 96 | |
|---|
| 97 | assert numpy.allclose( [-34.3, -24.5, -14.7], domain.quantities['xmomentum'].explicit_update ) |
|---|
| 98 | |
|---|
| 99 | |
|---|
| 100 | def test_gravity(self): |
|---|
| 101 | """ |
|---|
| 102 | Compare shallow_water_domain gravity calculation |
|---|
| 103 | """ |
|---|
| 104 | |
|---|
| 105 | def slope_one(x): |
|---|
| 106 | return x |
|---|
| 107 | |
|---|
| 108 | domain = Domain(self.points) |
|---|
| 109 | domain.set_quantity('stage',4.0) |
|---|
| 110 | domain.set_quantity('elevation',slope_one) |
|---|
| 111 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
|---|
| 112 | |
|---|
| 113 | |
|---|
| 114 | domain.set_spatial_order(1) |
|---|
| 115 | domain.distribute_to_vertices_and_edges() |
|---|
| 116 | |
|---|
| 117 | gravity(domain) |
|---|
| 118 | |
|---|
| 119 | assert numpy.allclose( [-34.3, -24.5, -14.7], domain.quantities['xmomentum'].explicit_update ) |
|---|
| 120 | |
|---|
| 121 | |
|---|
| 122 | def test_evolve_first_order(self): |
|---|
| 123 | """ |
|---|
| 124 | Compare still lake solution for various versions of shallow_water_domain |
|---|
| 125 | """ |
|---|
| 126 | |
|---|
| 127 | def slope_square(x): |
|---|
| 128 | return numpy.maximum(4.0-(x-5.0)*(x-5.0), 0.0) |
|---|
| 129 | |
|---|
| 130 | domain = Domain(self.points2) |
|---|
| 131 | domain.set_quantity('stage',10.0) |
|---|
| 132 | domain.set_quantity('elevation',slope_square) |
|---|
| 133 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
|---|
| 134 | |
|---|
| 135 | domain.default_order = 1 |
|---|
| 136 | domain.set_timestepping_method('euler') |
|---|
| 137 | |
|---|
| 138 | yieldstep=1.0 |
|---|
| 139 | finaltime=1.0 |
|---|
| 140 | |
|---|
| 141 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
|---|
| 142 | pass |
|---|
| 143 | |
|---|
| 144 | |
|---|
| 145 | assert numpy.allclose( 10.0*numpy.ones(10), domain.quantities['stage'].centroid_values ) |
|---|
| 146 | assert numpy.allclose( numpy.zeros(10), domain.quantities['xmomentum'].centroid_values ) |
|---|
| 147 | |
|---|
| 148 | |
|---|
| 149 | def test_evolve_euler_second_order_space(self): |
|---|
| 150 | """ |
|---|
| 151 | Compare still lake solution for various versions of shallow_water_domain |
|---|
| 152 | """ |
|---|
| 153 | |
|---|
| 154 | def slope_square(x): |
|---|
| 155 | return numpy.maximum(4.0-(x-5.0)*(x-5.0), 0.0) |
|---|
| 156 | |
|---|
| 157 | domain = Domain(self.points2) |
|---|
| 158 | domain.set_quantity('stage',10.0) |
|---|
| 159 | domain.set_quantity('elevation',slope_square) |
|---|
| 160 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
|---|
| 161 | |
|---|
| 162 | domain.default_order = 2 |
|---|
| 163 | domain.set_timestepping_method('rk2') |
|---|
| 164 | yieldstep=1.0 |
|---|
| 165 | finaltime=1.0 |
|---|
| 166 | |
|---|
| 167 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
|---|
| 168 | pass |
|---|
| 169 | |
|---|
| 170 | assert numpy.allclose( 10.0*numpy.ones(10), domain.quantities['stage'].centroid_values ) |
|---|
| 171 | assert numpy.allclose( numpy.zeros(10), domain.quantities['xmomentum'].centroid_values ) |
|---|
| 172 | |
|---|
| 173 | def test_evolve_second_order_space_time(self): |
|---|
| 174 | """ |
|---|
| 175 | Compare still lake solution for various versions of shallow_water_domain |
|---|
| 176 | """ |
|---|
| 177 | |
|---|
| 178 | def slope_square(x): |
|---|
| 179 | return numpy.maximum(4.0-(x-5.0)*(x-5.0), 0.0) |
|---|
| 180 | |
|---|
| 181 | domain = Domain(self.points2) |
|---|
| 182 | domain.set_quantity('stage',10.0) |
|---|
| 183 | domain.set_quantity('elevation',slope_square) |
|---|
| 184 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
|---|
| 185 | |
|---|
| 186 | domain.default_order = 2 |
|---|
| 187 | domain.set_timestepping_method('rk3') |
|---|
| 188 | |
|---|
| 189 | yieldstep=1.0 |
|---|
| 190 | finaltime=1.0 |
|---|
| 191 | |
|---|
| 192 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
|---|
| 193 | pass |
|---|
| 194 | |
|---|
| 195 | assert numpy.allclose( 10.0*numpy.ones(10), domain.quantities['stage'].centroid_values ) |
|---|
| 196 | assert numpy.allclose( numpy.zeros(10), domain.quantities['xmomentum'].centroid_values ) |
|---|
| 197 | |
|---|
| 198 | |
|---|
| 199 | |
|---|
| 200 | #============================================================================== |
|---|
| 201 | |
|---|
| 202 | if __name__ == "__main__": |
|---|
| 203 | suite = unittest.makeSuite(Test_Shallow_Water, 'test_gravity') |
|---|
| 204 | #suite = unittest.makeSuite(Test_Shallow_Water, 'test_evolve_first_order') |
|---|
| 205 | |
|---|
| 206 | |
|---|
| 207 | runner = unittest.TextTestRunner() |
|---|
| 208 | runner.run(suite) |
|---|
