[7559] | 1 | #!/usr/bin/env python |
---|
| 2 | |
---|
| 3 | import unittest, os |
---|
| 4 | import os.path |
---|
| 5 | from math import pi, sqrt |
---|
| 6 | import tempfile |
---|
| 7 | |
---|
| 8 | from anuga.config import g, epsilon |
---|
| 9 | from anuga.config import netcdf_mode_r, netcdf_mode_w, netcdf_mode_a |
---|
| 10 | from anuga.utilities.numerical_tools import mean |
---|
| 11 | from anuga.utilities.polygon import is_inside_polygon |
---|
| 12 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
---|
| 13 | from anuga.abstract_2d_finite_volumes.quantity import Quantity |
---|
| 14 | from anuga.geospatial_data.geospatial_data import Geospatial_data |
---|
| 15 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
---|
| 16 | |
---|
| 17 | from anuga.utilities.system_tools import get_pathname_from_package |
---|
| 18 | from swb_domain import * |
---|
| 19 | |
---|
| 20 | import numpy as num |
---|
| 21 | |
---|
| 22 | # Get gateway to C implementation of flux function for direct testing |
---|
| 23 | from shallow_water_ext import flux_function_central as flux_function |
---|
| 24 | |
---|
| 25 | |
---|
| 26 | |
---|
| 27 | |
---|
| 28 | class Test_swb_conservation(unittest.TestCase): |
---|
| 29 | def setUp(self): |
---|
| 30 | pass |
---|
| 31 | |
---|
| 32 | def tearDown(self): |
---|
| 33 | pass |
---|
| 34 | |
---|
| 35 | |
---|
| 36 | def test_conservation_1(self): |
---|
| 37 | """Test that stage is conserved globally |
---|
| 38 | |
---|
| 39 | This one uses a flat bed, reflective bdries and a suitable |
---|
| 40 | initial condition |
---|
| 41 | """ |
---|
| 42 | |
---|
| 43 | from mesh_factory import rectangular |
---|
| 44 | |
---|
| 45 | # Create basic mesh |
---|
| 46 | points, vertices, boundary = rectangular(6, 6) |
---|
| 47 | |
---|
| 48 | # Create shallow water domain |
---|
| 49 | domain = Domain(points, vertices, boundary) |
---|
| 50 | domain.smooth = False |
---|
| 51 | domain.default_order = 2 |
---|
| 52 | |
---|
| 53 | # IC |
---|
| 54 | def x_slope(x, y): |
---|
| 55 | return x/3 |
---|
| 56 | |
---|
| 57 | domain.set_quantity('elevation', 0) |
---|
| 58 | domain.set_quantity('friction', 0) |
---|
| 59 | domain.set_quantity('stage', x_slope) |
---|
| 60 | |
---|
| 61 | # Boundary conditions (reflective everywhere) |
---|
| 62 | Br = Reflective_boundary(domain) |
---|
| 63 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 64 | |
---|
| 65 | domain.check_integrity() |
---|
| 66 | |
---|
| 67 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 68 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 69 | |
---|
| 70 | # Evolution |
---|
| 71 | for t in domain.evolve(yieldstep=0.05, finaltime=5.0): |
---|
| 72 | volume = domain.quantities['stage'].get_integral() |
---|
| 73 | assert num.allclose(volume, initial_volume) |
---|
| 74 | |
---|
| 75 | #I don't believe that the total momentum should be the same |
---|
| 76 | #It starts with zero and ends with zero though |
---|
| 77 | #xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 78 | #print xmom |
---|
| 79 | #assert allclose (xmom, initial_xmom) |
---|
| 80 | |
---|
| 81 | os.remove(domain.get_name() + '.sww') |
---|
| 82 | |
---|
| 83 | def test_conservation_2(self): |
---|
| 84 | """Test that stage is conserved globally |
---|
| 85 | |
---|
| 86 | This one uses a slopy bed, reflective bdries and a suitable |
---|
| 87 | initial condition |
---|
| 88 | """ |
---|
| 89 | |
---|
| 90 | from mesh_factory import rectangular |
---|
| 91 | |
---|
| 92 | # Create basic mesh |
---|
| 93 | points, vertices, boundary = rectangular(6, 6) |
---|
| 94 | |
---|
| 95 | # Create shallow water domain |
---|
| 96 | domain = Domain(points, vertices, boundary) |
---|
| 97 | domain.smooth = False |
---|
| 98 | domain.default_order = 2 |
---|
| 99 | |
---|
| 100 | # IC |
---|
| 101 | def x_slope(x, y): |
---|
| 102 | return x/3 |
---|
| 103 | |
---|
| 104 | domain.set_quantity('elevation', x_slope) |
---|
| 105 | domain.set_quantity('friction', 0) |
---|
| 106 | domain.set_quantity('stage', 0.4) # Steady |
---|
| 107 | |
---|
| 108 | # Boundary conditions (reflective everywhere) |
---|
| 109 | Br = Reflective_boundary(domain) |
---|
| 110 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 111 | |
---|
| 112 | domain.check_integrity() |
---|
| 113 | |
---|
| 114 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 115 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 116 | |
---|
| 117 | # Evolution |
---|
| 118 | for t in domain.evolve(yieldstep=0.05, finaltime=5.0): |
---|
| 119 | volume = domain.quantities['stage'].get_integral() |
---|
| 120 | assert num.allclose(volume, initial_volume) |
---|
| 121 | |
---|
| 122 | #FIXME: What would we expect from momentum |
---|
| 123 | #xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 124 | #print xmom |
---|
| 125 | #assert allclose (xmom, initial_xmom) |
---|
| 126 | |
---|
| 127 | os.remove(domain.get_name() + '.sww') |
---|
| 128 | |
---|
| 129 | def test_conservation_3(self): |
---|
| 130 | """Test that stage is conserved globally |
---|
| 131 | |
---|
| 132 | This one uses a larger grid, convoluted bed, reflective boundaries |
---|
| 133 | and a suitable initial condition |
---|
| 134 | """ |
---|
| 135 | |
---|
| 136 | from mesh_factory import rectangular |
---|
| 137 | |
---|
| 138 | # Create basic mesh |
---|
| 139 | points, vertices, boundary = rectangular(2, 1) |
---|
| 140 | |
---|
| 141 | # Create shallow water domain |
---|
| 142 | domain = Domain(points, vertices, boundary) |
---|
| 143 | domain.smooth = False |
---|
| 144 | |
---|
| 145 | |
---|
| 146 | # IC |
---|
| 147 | def x_slope(x, y): |
---|
| 148 | z = 0*x |
---|
| 149 | for i in range(len(x)): |
---|
| 150 | if x[i] < 0.3: |
---|
| 151 | z[i] = x[i]/3 |
---|
| 152 | if 0.3 <= x[i] < 0.5: |
---|
| 153 | z[i] = -0.5 |
---|
| 154 | if 0.5 <= x[i] < 0.7: |
---|
| 155 | z[i] = 0.39 |
---|
| 156 | if 0.7 <= x[i]: |
---|
| 157 | z[i] = x[i]/3 |
---|
| 158 | return z |
---|
| 159 | |
---|
| 160 | domain.set_quantity('elevation', x_slope) |
---|
| 161 | domain.set_quantity('friction', 0) |
---|
| 162 | domain.set_quantity('stage', 0.4) #Steady |
---|
| 163 | |
---|
| 164 | # Boundary conditions (reflective everywhere) |
---|
| 165 | Br = Reflective_boundary(domain) |
---|
| 166 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 167 | |
---|
| 168 | domain.check_integrity() |
---|
| 169 | |
---|
| 170 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 171 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 172 | |
---|
| 173 | import copy |
---|
| 174 | |
---|
| 175 | ref_centroid_values = copy.copy(domain.quantities['stage'].\ |
---|
| 176 | centroid_values) |
---|
| 177 | |
---|
| 178 | domain.distribute_to_vertices_and_edges() |
---|
| 179 | |
---|
| 180 | assert num.allclose(domain.quantities['stage'].centroid_values, |
---|
| 181 | ref_centroid_values) |
---|
| 182 | |
---|
| 183 | # Check that initial limiter doesn't violate cons quan |
---|
| 184 | assert num.allclose(domain.quantities['stage'].get_integral(), |
---|
| 185 | initial_volume) |
---|
| 186 | |
---|
| 187 | # Evolution |
---|
| 188 | for t in domain.evolve(yieldstep=0.05, finaltime=10): |
---|
| 189 | volume = domain.quantities['stage'].get_integral() |
---|
[7573] | 190 | |
---|
[7559] | 191 | assert num.allclose (volume, initial_volume) |
---|
| 192 | |
---|
| 193 | os.remove(domain.get_name() + '.sww') |
---|
| 194 | |
---|
| 195 | def test_conservation_4(self): |
---|
| 196 | """Test that stage is conserved globally |
---|
| 197 | |
---|
| 198 | This one uses a larger grid, convoluted bed, reflective boundaries |
---|
| 199 | and a suitable initial condition |
---|
| 200 | """ |
---|
| 201 | |
---|
| 202 | from mesh_factory import rectangular |
---|
| 203 | |
---|
| 204 | # Create basic mesh |
---|
| 205 | points, vertices, boundary = rectangular(6, 6) |
---|
| 206 | |
---|
| 207 | # Create shallow water domain |
---|
| 208 | domain = Domain(points, vertices, boundary) |
---|
| 209 | domain.smooth = False |
---|
| 210 | domain.default_order = 2 |
---|
| 211 | |
---|
| 212 | # IC |
---|
| 213 | def x_slope(x, y): |
---|
| 214 | z = 0*x |
---|
| 215 | for i in range(len(x)): |
---|
| 216 | if x[i] < 0.3: |
---|
| 217 | z[i] = x[i]/3 |
---|
| 218 | if 0.3 <= x[i] < 0.5: |
---|
| 219 | z[i] = -0.5 |
---|
| 220 | if 0.5 <= x[i] < 0.7: |
---|
| 221 | #z[i] = 0.3 # OK with beta == 0.2 |
---|
| 222 | z[i] = 0.34 # OK with beta == 0.0 |
---|
| 223 | #z[i] = 0.35 # Fails after 80 timesteps with an error |
---|
| 224 | # of the order 1.0e-5 |
---|
| 225 | if 0.7 <= x[i]: |
---|
| 226 | z[i] = x[i]/3 |
---|
| 227 | return z |
---|
| 228 | |
---|
| 229 | domain.set_quantity('elevation', x_slope) |
---|
| 230 | domain.set_quantity('friction', 0) |
---|
| 231 | domain.set_quantity('stage', 0.4) #Steady |
---|
| 232 | |
---|
| 233 | # Boundary conditions (reflective everywhere) |
---|
| 234 | Br = Reflective_boundary(domain) |
---|
| 235 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 236 | |
---|
| 237 | domain.check_integrity() |
---|
| 238 | |
---|
[7573] | 239 | |
---|
[7559] | 240 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 241 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 242 | |
---|
| 243 | import copy |
---|
| 244 | |
---|
| 245 | ref_centroid_values = copy.copy(domain.quantities['stage'].\ |
---|
| 246 | centroid_values) |
---|
| 247 | |
---|
| 248 | # Test limiter by itself |
---|
| 249 | domain.distribute_to_vertices_and_edges() |
---|
| 250 | |
---|
| 251 | # Check that initial limiter doesn't violate cons quan |
---|
| 252 | assert num.allclose(domain.quantities['stage'].get_integral(), |
---|
| 253 | initial_volume) |
---|
| 254 | # NOTE: This would fail if any initial stage was less than the |
---|
| 255 | # corresponding bed elevation - but that is reasonable. |
---|
| 256 | |
---|
| 257 | #Evolution |
---|
[7573] | 258 | #print domain.get_time(), initial_volume |
---|
[7559] | 259 | for t in domain.evolve(yieldstep=0.05, finaltime=10.0): |
---|
| 260 | volume = domain.quantities['stage'].get_integral() |
---|
[7573] | 261 | |
---|
| 262 | #print domain.get_time(), volume |
---|
[7559] | 263 | assert num.allclose (volume, initial_volume) |
---|
| 264 | |
---|
| 265 | os.remove(domain.get_name() + '.sww') |
---|
| 266 | |
---|
| 267 | def test_conservation_5(self): |
---|
| 268 | """Test that momentum is conserved globally in steady state scenario |
---|
| 269 | |
---|
| 270 | This one uses a slopy bed, dirichlet and reflective bdries |
---|
| 271 | """ |
---|
| 272 | |
---|
| 273 | from mesh_factory import rectangular |
---|
| 274 | |
---|
| 275 | # Create basic mesh |
---|
| 276 | points, vertices, boundary = rectangular(6, 6) |
---|
| 277 | |
---|
| 278 | # Create shallow water domain |
---|
| 279 | domain = Domain(points, vertices, boundary) |
---|
| 280 | domain.smooth = False |
---|
| 281 | domain.default_order = 2 |
---|
| 282 | |
---|
| 283 | # IC |
---|
| 284 | def x_slope(x, y): |
---|
| 285 | return x/3 |
---|
| 286 | |
---|
| 287 | domain.set_quantity('elevation', x_slope) |
---|
| 288 | domain.set_quantity('friction', 0) |
---|
| 289 | domain.set_quantity('stage', 0.4) # Steady |
---|
| 290 | |
---|
| 291 | # Boundary conditions (reflective everywhere) |
---|
| 292 | Br = Reflective_boundary(domain) |
---|
| 293 | Bleft = Dirichlet_boundary([0.5, 0, 0]) |
---|
| 294 | Bright = Dirichlet_boundary([0.1, 0, 0]) |
---|
| 295 | domain.set_boundary({'left': Bleft, 'right': Bright, |
---|
| 296 | 'top': Br, 'bottom': Br}) |
---|
| 297 | |
---|
| 298 | domain.check_integrity() |
---|
| 299 | |
---|
| 300 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 301 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 302 | |
---|
| 303 | # Evolution |
---|
| 304 | for t in domain.evolve(yieldstep=0.05, finaltime=15.0): |
---|
| 305 | stage = domain.quantities['stage'].get_integral() |
---|
| 306 | xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 307 | ymom = domain.quantities['ymomentum'].get_integral() |
---|
| 308 | |
---|
| 309 | if num.allclose(t, 10): # Steady state reached |
---|
| 310 | steady_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 311 | steady_ymom = domain.quantities['ymomentum'].get_integral() |
---|
| 312 | steady_stage = domain.quantities['stage'].get_integral() |
---|
| 313 | |
---|
| 314 | if t > 10: |
---|
| 315 | msg = 'time=%.2f, xmom=%.10f, steady_xmom=%.10f' % (t, xmom, steady_xmom) |
---|
[7573] | 316 | assert num.allclose(xmom, steady_xmom,atol=1.0e-4), msg |
---|
[7559] | 317 | |
---|
[7573] | 318 | msg = 'time=%.2f, ymom=%.10f, steady_ymom=%.10f' % (t, ymom, steady_ymom) |
---|
| 319 | assert num.allclose(ymom, steady_ymom,atol=1.0e-4), msg |
---|
| 320 | |
---|
| 321 | msg = 'time=%.2f, stage=%.10f, steady_stage=%.10f' % (t, stage, steady_stage) |
---|
| 322 | assert num.allclose(stage, steady_stage,atol=1.0e-4) |
---|
| 323 | |
---|
[7559] | 324 | os.remove(domain.get_name() + '.sww') |
---|
| 325 | |
---|
| 326 | def test_conservation_real(self): |
---|
| 327 | """Test that momentum is conserved globally |
---|
| 328 | |
---|
| 329 | Stephen finally made a test that revealed the problem. |
---|
| 330 | This test failed with code prior to 25 July 2005 |
---|
| 331 | """ |
---|
| 332 | |
---|
| 333 | import sys |
---|
| 334 | import os.path |
---|
| 335 | sys.path.append(os.path.join('..', 'abstract_2d_finite_volumes')) |
---|
| 336 | from mesh_factory import rectangular |
---|
| 337 | |
---|
| 338 | yieldstep = 0.01 |
---|
| 339 | finaltime = 0.05 |
---|
| 340 | min_depth = 1.0e-2 |
---|
| 341 | |
---|
| 342 | #Create shallow water domain |
---|
| 343 | points, vertices, boundary = rectangular(10, 10, len1=500, len2=500) |
---|
| 344 | domain = Domain(points, vertices, boundary) |
---|
| 345 | domain.smooth = False |
---|
| 346 | domain.default_order = 1 |
---|
| 347 | domain.minimum_allowed_height = min_depth |
---|
| 348 | |
---|
| 349 | # Set initial condition |
---|
| 350 | class Set_IC: |
---|
| 351 | """Set an initial condition with a constant value, for x0<x<x1""" |
---|
| 352 | |
---|
| 353 | def __init__(self, x0=0.25, x1=0.5, h=1.0): |
---|
| 354 | self.x0 = x0 |
---|
| 355 | self.x1 = x1 |
---|
| 356 | self.h = h |
---|
| 357 | |
---|
| 358 | def __call__(self, x, y): |
---|
| 359 | return self.h*((x > self.x0) & (x < self.x1)) |
---|
| 360 | |
---|
| 361 | domain.set_quantity('stage', Set_IC(200.0, 300.0, 5.0)) |
---|
| 362 | |
---|
| 363 | # Boundaries |
---|
| 364 | R = Reflective_boundary(domain) |
---|
| 365 | domain.set_boundary({'left': R, 'right': R, 'top':R, 'bottom': R}) |
---|
| 366 | |
---|
| 367 | ref = domain.quantities['stage'].get_integral() |
---|
| 368 | |
---|
| 369 | # Evolution |
---|
| 370 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
---|
| 371 | pass |
---|
| 372 | |
---|
| 373 | now = domain.quantities['stage'].get_integral() |
---|
| 374 | |
---|
| 375 | msg = 'Stage not conserved: was %f, now %f' % (ref, now) |
---|
| 376 | assert num.allclose(ref, now), msg |
---|
| 377 | |
---|
| 378 | os.remove(domain.get_name() + '.sww') |
---|
| 379 | |
---|
| 380 | |
---|
| 381 | def test_total_volume(self): |
---|
| 382 | """test_total_volume |
---|
| 383 | |
---|
| 384 | Test that total volume can be computed correctly |
---|
| 385 | """ |
---|
| 386 | |
---|
| 387 | #---------------------------------------------------------------------- |
---|
| 388 | # Import necessary modules |
---|
| 389 | #---------------------------------------------------------------------- |
---|
| 390 | from anuga.abstract_2d_finite_volumes.mesh_factory \ |
---|
| 391 | import rectangular_cross |
---|
| 392 | from anuga.shallow_water import Domain |
---|
| 393 | |
---|
| 394 | #---------------------------------------------------------------------- |
---|
| 395 | # Setup computational domain |
---|
| 396 | #---------------------------------------------------------------------- |
---|
| 397 | |
---|
| 398 | length = 100. |
---|
| 399 | width = 20. |
---|
| 400 | dx = dy = 5 # Resolution: of grid on both axes |
---|
| 401 | |
---|
| 402 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
| 403 | int(width/dy), |
---|
| 404 | len1=length, |
---|
| 405 | len2=width) |
---|
| 406 | domain = Domain(points, vertices, boundary) |
---|
| 407 | |
---|
| 408 | #---------------------------------------------------------------------- |
---|
| 409 | # Simple flat bottom bathtub |
---|
| 410 | #---------------------------------------------------------------------- |
---|
| 411 | |
---|
| 412 | d = 1.0 |
---|
| 413 | domain.set_quantity('elevation', 0.0) |
---|
| 414 | domain.set_quantity('stage', d) |
---|
| 415 | |
---|
| 416 | assert num.allclose(domain.compute_total_volume(), length*width*d) |
---|
| 417 | |
---|
| 418 | #---------------------------------------------------------------------- |
---|
| 419 | # Slope |
---|
| 420 | #---------------------------------------------------------------------- |
---|
| 421 | |
---|
| 422 | slope = 1.0/10 # RHS drops to -10m |
---|
| 423 | def topography(x, y): |
---|
| 424 | return -x * slope |
---|
| 425 | |
---|
| 426 | domain.set_quantity('elevation', topography) |
---|
| 427 | domain.set_quantity('stage', 0.0) # Domain full |
---|
| 428 | |
---|
| 429 | V = domain.compute_total_volume() |
---|
| 430 | assert num.allclose(V, length*width*10/2) |
---|
| 431 | |
---|
| 432 | domain.set_quantity('stage', -5.0) # Domain 'half' full |
---|
| 433 | |
---|
| 434 | # IMPORTANT: Adjust stage to match elevation |
---|
| 435 | domain.distribute_to_vertices_and_edges() |
---|
| 436 | |
---|
| 437 | V = domain.compute_total_volume() |
---|
| 438 | assert num.allclose(V, width*(length/2)*5.0/2) |
---|
| 439 | |
---|
| 440 | |
---|
| 441 | def test_volumetric_balance_computation(self): |
---|
| 442 | """test_volumetric_balance_computation |
---|
| 443 | |
---|
| 444 | Test that total in and out flows are computed correctly |
---|
| 445 | in a steady state situation |
---|
| 446 | """ |
---|
| 447 | |
---|
| 448 | # Set to True if volumetric output is sought |
---|
| 449 | verbose = False |
---|
| 450 | |
---|
| 451 | #---------------------------------------------------------------------- |
---|
| 452 | # Import necessary modules |
---|
| 453 | #---------------------------------------------------------------------- |
---|
| 454 | |
---|
| 455 | from anuga.abstract_2d_finite_volumes.mesh_factory \ |
---|
| 456 | import rectangular_cross |
---|
| 457 | from anuga.shallow_water import Domain |
---|
| 458 | from anuga.shallow_water.shallow_water_domain import Reflective_boundary |
---|
| 459 | from anuga.shallow_water.shallow_water_domain import Dirichlet_boundary |
---|
| 460 | from anuga.shallow_water.shallow_water_domain import Inflow |
---|
| 461 | from anuga.shallow_water.data_manager \ |
---|
| 462 | import get_flow_through_cross_section |
---|
| 463 | |
---|
| 464 | #---------------------------------------------------------------------- |
---|
| 465 | # Setup computational domain |
---|
| 466 | #---------------------------------------------------------------------- |
---|
| 467 | |
---|
| 468 | finaltime = 500.0 |
---|
| 469 | length = 300. |
---|
| 470 | width = 20. |
---|
| 471 | dx = dy = 5 # Resolution: of grid on both axes |
---|
| 472 | |
---|
| 473 | # Input parameters |
---|
| 474 | uh = 1.0 |
---|
| 475 | vh = 0.0 |
---|
| 476 | d = 1.0 |
---|
| 477 | |
---|
| 478 | # 20 m^3/s in the x direction across entire domain |
---|
| 479 | ref_flow = uh*d*width |
---|
| 480 | |
---|
| 481 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
| 482 | int(width/dy), |
---|
| 483 | len1=length, |
---|
| 484 | len2=width) |
---|
| 485 | |
---|
| 486 | domain = Domain(points, vertices, boundary) |
---|
| 487 | domain.set_name('Inflow_flowline_test') # Output name |
---|
| 488 | |
---|
| 489 | #---------------------------------------------------------------------- |
---|
| 490 | # Setup initial conditions |
---|
| 491 | #---------------------------------------------------------------------- |
---|
| 492 | |
---|
| 493 | domain.set_quantity('elevation', 0.0) # Flat bed |
---|
| 494 | domain.set_quantity('friction', 0.0) # Constant zero friction |
---|
| 495 | |
---|
| 496 | domain.set_quantity('stage', expression='elevation + %d' % d) |
---|
| 497 | |
---|
| 498 | #---------------------------------------------------------------------- |
---|
| 499 | # Setup boundary conditions |
---|
| 500 | #---------------------------------------------------------------------- |
---|
| 501 | |
---|
| 502 | Br = Reflective_boundary(domain) # Solid reflective wall |
---|
| 503 | |
---|
| 504 | # Constant flow in and out of domain |
---|
| 505 | # Depth = 1m, uh=1 m/s, i.e. a flow of 20 m^3/s |
---|
| 506 | Bi = Dirichlet_boundary([d, uh, vh]) |
---|
| 507 | Bo = Dirichlet_boundary([d, uh, vh]) |
---|
| 508 | |
---|
| 509 | domain.set_boundary({'left': Bi, 'right': Bo, 'top': Br, 'bottom': Br}) |
---|
| 510 | |
---|
| 511 | #---------------------------------------------------------------------- |
---|
| 512 | # Evolve system through time |
---|
| 513 | #---------------------------------------------------------------------- |
---|
| 514 | |
---|
| 515 | for t in domain.evolve(yieldstep=50.0, finaltime=finaltime): |
---|
| 516 | S = domain.volumetric_balance_statistics() |
---|
| 517 | if verbose : |
---|
| 518 | print domain.timestepping_statistics() |
---|
| 519 | print S |
---|
| 520 | |
---|
| 521 | if t > 300: |
---|
| 522 | # Steady state reached |
---|
| 523 | |
---|
| 524 | # Square on flowline at 200m |
---|
| 525 | q = domain.get_flow_through_cross_section([[200.0, 0.0], |
---|
| 526 | [200.0, 20.0]]) |
---|
| 527 | |
---|
| 528 | assert num.allclose(q, ref_flow) |
---|
| 529 | |
---|
| 530 | os.remove('Inflow_flowline_test.sww') |
---|
| 531 | |
---|
| 532 | def test_volume_conservation_inflow(self): |
---|
| 533 | """test_volume_conservation |
---|
| 534 | |
---|
| 535 | Test that total volume in domain is as expected, based on questions |
---|
| 536 | raised by Petar Milevski in May 2009. |
---|
| 537 | |
---|
| 538 | This test adds inflow at a known rate and verifies that the total |
---|
| 539 | terminal volume is as expected. |
---|
| 540 | |
---|
| 541 | """ |
---|
| 542 | |
---|
| 543 | verbose = False |
---|
| 544 | |
---|
| 545 | |
---|
| 546 | #--------------------------------------------------------------------- |
---|
| 547 | # Import necessary modules |
---|
| 548 | #--------------------------------------------------------------------- |
---|
| 549 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
---|
| 550 | from anuga.shallow_water import Domain |
---|
| 551 | from anuga.shallow_water.shallow_water_domain import Reflective_boundary |
---|
| 552 | from anuga.shallow_water.shallow_water_domain import Dirichlet_boundary |
---|
| 553 | from anuga.shallow_water.shallow_water_domain import Inflow |
---|
| 554 | from anuga.shallow_water.data_manager import get_flow_through_cross_section |
---|
| 555 | |
---|
| 556 | #---------------------------------------------------------------------- |
---|
| 557 | # Setup computational domain |
---|
| 558 | #---------------------------------------------------------------------- |
---|
| 559 | finaltime = 200.0 |
---|
| 560 | |
---|
| 561 | length = 300. |
---|
| 562 | width = 20. |
---|
| 563 | dx = dy = 5 # Resolution: of grid on both axes |
---|
| 564 | |
---|
| 565 | |
---|
| 566 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
| 567 | int(width/dy), |
---|
| 568 | len1=length, len2=width) |
---|
| 569 | |
---|
| 570 | |
---|
| 571 | domain = Domain(points, vertices, boundary) |
---|
| 572 | domain.set_name('Inflow_volume_test') # Output name |
---|
| 573 | |
---|
| 574 | |
---|
| 575 | #---------------------------------------------------------------------- |
---|
| 576 | # Setup initial conditions |
---|
| 577 | #---------------------------------------------------------------------- |
---|
| 578 | slope = 0.0 |
---|
| 579 | def topography(x, y): |
---|
| 580 | z=-x * slope |
---|
| 581 | return z |
---|
| 582 | |
---|
| 583 | domain.set_quantity('elevation', topography) # Use function for elevation |
---|
| 584 | domain.set_quantity('friction', 0.0) # Constant friction |
---|
| 585 | |
---|
| 586 | domain.set_quantity('stage', |
---|
| 587 | expression='elevation') # Dry initially |
---|
| 588 | |
---|
| 589 | |
---|
| 590 | #-------------------------------------------------------------- |
---|
| 591 | # Setup Inflow |
---|
| 592 | #-------------------------------------------------------------- |
---|
| 593 | |
---|
| 594 | # Fixed Flowrate onto Area |
---|
| 595 | fixed_inflow = Inflow(domain, |
---|
| 596 | center=(10.0, 10.0), |
---|
| 597 | radius=5.00, |
---|
| 598 | rate=10.00) |
---|
| 599 | |
---|
| 600 | domain.forcing_terms.append(fixed_inflow) |
---|
| 601 | |
---|
| 602 | #---------------------------------------------------------------------- |
---|
| 603 | # Setup boundary conditions |
---|
| 604 | #---------------------------------------------------------------------- |
---|
| 605 | |
---|
| 606 | Br = Reflective_boundary(domain) # Solid reflective wall |
---|
| 607 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 608 | |
---|
| 609 | |
---|
| 610 | #---------------------------------------------------------------------- |
---|
| 611 | # Evolve system through time |
---|
| 612 | #---------------------------------------------------------------------- |
---|
| 613 | ref_volume = 0.0 |
---|
| 614 | ys = 10.0 # Yieldstep |
---|
| 615 | for t in domain.evolve(yieldstep=ys, finaltime=finaltime): |
---|
| 616 | |
---|
| 617 | # Check volume |
---|
| 618 | assert num.allclose(domain.compute_total_volume(), ref_volume) |
---|
| 619 | |
---|
| 620 | if verbose : |
---|
| 621 | print domain.timestepping_statistics() |
---|
| 622 | print domain.volumetric_balance_statistics() |
---|
| 623 | print 'reference volume', ref_volume |
---|
| 624 | |
---|
| 625 | |
---|
| 626 | # Update reference volume |
---|
| 627 | ref_volume += ys * fixed_inflow.rate |
---|
| 628 | |
---|
| 629 | |
---|
| 630 | os.remove('Inflow_volume_test.sww') |
---|
| 631 | |
---|
| 632 | |
---|
| 633 | |
---|
| 634 | def test_volume_conservation_rain(self): |
---|
| 635 | """test_volume_conservation |
---|
| 636 | |
---|
| 637 | Test that total volume in domain is as expected, based on questions |
---|
| 638 | raised by Petar Milevski in May 2009. |
---|
| 639 | |
---|
| 640 | This test adds rain at a known rate and verifies that the total |
---|
| 641 | terminal volume is as expected. |
---|
| 642 | |
---|
| 643 | """ |
---|
| 644 | |
---|
| 645 | verbose = False |
---|
| 646 | |
---|
| 647 | |
---|
| 648 | #--------------------------------------------------------------------- |
---|
| 649 | # Import necessary modules |
---|
| 650 | #--------------------------------------------------------------------- |
---|
| 651 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
---|
| 652 | from anuga.shallow_water import Domain |
---|
| 653 | from anuga.shallow_water.shallow_water_domain import Reflective_boundary |
---|
| 654 | from anuga.shallow_water.shallow_water_domain import Dirichlet_boundary |
---|
| 655 | from anuga.shallow_water.shallow_water_domain import Rainfall |
---|
| 656 | from anuga.shallow_water.data_manager import get_flow_through_cross_section |
---|
| 657 | |
---|
| 658 | #---------------------------------------------------------------------- |
---|
| 659 | # Setup computational domain |
---|
| 660 | #---------------------------------------------------------------------- |
---|
| 661 | finaltime = 200.0 |
---|
| 662 | |
---|
| 663 | length = 300. |
---|
| 664 | width = 20. |
---|
| 665 | dx = dy = 5 # Resolution: of grid on both axes |
---|
| 666 | |
---|
| 667 | |
---|
| 668 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
| 669 | int(width/dy), |
---|
| 670 | len1=length, len2=width) |
---|
| 671 | |
---|
| 672 | |
---|
| 673 | domain = Domain(points, vertices, boundary) |
---|
| 674 | domain.set_name('Rain_volume_test') # Output name |
---|
| 675 | |
---|
| 676 | |
---|
| 677 | #---------------------------------------------------------------------- |
---|
| 678 | # Setup initial conditions |
---|
| 679 | #---------------------------------------------------------------------- |
---|
| 680 | slope = 0.0 |
---|
| 681 | def topography(x, y): |
---|
| 682 | z=-x * slope |
---|
| 683 | return z |
---|
| 684 | |
---|
| 685 | domain.set_quantity('elevation', topography) # Use function for elevation |
---|
| 686 | domain.set_quantity('friction', 0.0) # Constant friction |
---|
| 687 | |
---|
| 688 | domain.set_quantity('stage', |
---|
| 689 | expression='elevation') # Dry initially |
---|
| 690 | |
---|
| 691 | |
---|
| 692 | #-------------------------------------------------------------- |
---|
| 693 | # Setup rain |
---|
| 694 | #-------------------------------------------------------------- |
---|
| 695 | |
---|
| 696 | # Fixed rain onto small circular area |
---|
| 697 | fixed_rain = Rainfall(domain, |
---|
| 698 | center=(10.0, 10.0), |
---|
| 699 | radius=5.00, |
---|
| 700 | rate=10.00) # 10 mm/s |
---|
| 701 | |
---|
| 702 | domain.forcing_terms.append(fixed_rain) |
---|
| 703 | |
---|
| 704 | #---------------------------------------------------------------------- |
---|
| 705 | # Setup boundary conditions |
---|
| 706 | #---------------------------------------------------------------------- |
---|
| 707 | |
---|
| 708 | Br = Reflective_boundary(domain) # Solid reflective wall |
---|
| 709 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 710 | |
---|
| 711 | |
---|
| 712 | #---------------------------------------------------------------------- |
---|
| 713 | # Evolve system through time |
---|
| 714 | #---------------------------------------------------------------------- |
---|
| 715 | ref_volume = 0.0 |
---|
| 716 | ys = 10.0 # Yieldstep |
---|
| 717 | for t in domain.evolve(yieldstep=ys, finaltime=finaltime): |
---|
| 718 | |
---|
| 719 | # Check volume |
---|
| 720 | V = domain.compute_total_volume() |
---|
| 721 | msg = 'V = %e, Ref = %e' % (V, ref_volume) |
---|
| 722 | assert num.allclose(V, ref_volume), msg |
---|
| 723 | |
---|
| 724 | if verbose : |
---|
| 725 | print domain.timestepping_statistics() |
---|
| 726 | print domain.volumetric_balance_statistics() |
---|
| 727 | print 'reference volume', ref_volume |
---|
| 728 | print V |
---|
| 729 | |
---|
| 730 | |
---|
| 731 | # Update reference volume. |
---|
| 732 | # FIXME: Note that rate has now been redefined |
---|
| 733 | # as m/s internally. This is a little confusing |
---|
| 734 | # when it was specfied as mm/s. |
---|
| 735 | |
---|
| 736 | delta_V = fixed_rain.rate*fixed_rain.exchange_area |
---|
| 737 | ref_volume += ys * delta_V |
---|
| 738 | |
---|
| 739 | os.remove('Rain_volume_test.sww') |
---|
| 740 | |
---|
| 741 | def Xtest_rain_conservation_and_runoff(self): |
---|
| 742 | """test_rain_conservation_and_runoff |
---|
| 743 | |
---|
| 744 | Test that total volume in domain is as expected, based on questions |
---|
| 745 | raised by Petar Milevski in May 2009. |
---|
| 746 | |
---|
| 747 | This test adds rain at a known rate and verifies that the total |
---|
| 748 | volume and outflows are as expected. |
---|
| 749 | |
---|
| 750 | """ |
---|
| 751 | |
---|
| 752 | # FIXME (Ole): Does not work yet. Investigate boundary flows |
---|
| 753 | |
---|
| 754 | verbose = True #False |
---|
| 755 | |
---|
| 756 | |
---|
| 757 | #--------------------------------------------------------------------- |
---|
| 758 | # Import necessary modules |
---|
| 759 | #--------------------------------------------------------------------- |
---|
| 760 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
---|
| 761 | from anuga.shallow_water import Domain |
---|
| 762 | from anuga.shallow_water.shallow_water_domain import Reflective_boundary |
---|
| 763 | from anuga.shallow_water.shallow_water_domain import Dirichlet_boundary |
---|
| 764 | from anuga.shallow_water.shallow_water_domain import Rainfall |
---|
| 765 | from anuga.shallow_water.data_manager import get_flow_through_cross_section |
---|
| 766 | |
---|
| 767 | #---------------------------------------------------------------------- |
---|
| 768 | # Setup computational domain |
---|
| 769 | #---------------------------------------------------------------------- |
---|
| 770 | finaltime = 500.0 |
---|
| 771 | |
---|
| 772 | length = 300. |
---|
| 773 | width = 20. |
---|
| 774 | dx = dy = 5 # Resolution: of grid on both axes |
---|
| 775 | |
---|
| 776 | |
---|
| 777 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
| 778 | int(width/dy), |
---|
| 779 | len1=length, len2=width) |
---|
| 780 | |
---|
| 781 | |
---|
| 782 | domain = Domain(points, vertices, boundary) |
---|
| 783 | domain.set_name('Rain_volume_runoff_test') # Output name |
---|
| 784 | |
---|
| 785 | |
---|
| 786 | #---------------------------------------------------------------------- |
---|
| 787 | # Setup initial conditions |
---|
| 788 | #---------------------------------------------------------------------- |
---|
| 789 | slope = 0.0 |
---|
| 790 | def topography(x, y): |
---|
| 791 | z=-x * slope |
---|
| 792 | return z |
---|
| 793 | |
---|
| 794 | domain.set_quantity('elevation', topography) # Use function for elevation |
---|
| 795 | domain.set_quantity('friction', 0.0) # Constant friction |
---|
| 796 | |
---|
| 797 | domain.set_quantity('stage', |
---|
| 798 | expression='elevation') # Dry initially |
---|
| 799 | |
---|
| 800 | |
---|
| 801 | #-------------------------------------------------------------- |
---|
| 802 | # Setup rain |
---|
| 803 | #-------------------------------------------------------------- |
---|
| 804 | |
---|
| 805 | # Fixed rain onto small circular area |
---|
| 806 | fixed_rain = Rainfall(domain, |
---|
| 807 | center=(10.0, 10.0), |
---|
| 808 | radius=5.00, |
---|
| 809 | rate=10.00) # 10 mm/s |
---|
| 810 | |
---|
| 811 | domain.forcing_terms.append(fixed_rain) |
---|
| 812 | |
---|
| 813 | #---------------------------------------------------------------------- |
---|
| 814 | # Setup boundary conditions |
---|
| 815 | #---------------------------------------------------------------------- |
---|
| 816 | |
---|
| 817 | Br = Reflective_boundary(domain) # Solid reflective wall |
---|
| 818 | Bt = Transmissive_stage_zero_momentum_boundary(domain) |
---|
| 819 | Bd = Dirichlet_boundary([-10, 0, 0]) |
---|
| 820 | domain.set_boundary({'left': Bt, 'right': Bd, 'top': Bt, 'bottom': Bt}) |
---|
| 821 | |
---|
| 822 | |
---|
| 823 | #---------------------------------------------------------------------- |
---|
| 824 | # Evolve system through time |
---|
| 825 | #---------------------------------------------------------------------- |
---|
| 826 | ref_volume = 0.0 |
---|
| 827 | ys = 10.0 # Yieldstep |
---|
| 828 | for t in domain.evolve(yieldstep=ys, finaltime=finaltime): |
---|
| 829 | |
---|
| 830 | # Check volume |
---|
| 831 | V = domain.compute_total_volume() |
---|
| 832 | msg = 'V = %e, Ref = %e' % (V, ref_volume) |
---|
| 833 | #assert num.allclose(V, ref_volume) or V < ref_volume, msg |
---|
| 834 | |
---|
| 835 | if verbose: |
---|
| 836 | print domain.timestepping_statistics() |
---|
| 837 | print domain.volumetric_balance_statistics() |
---|
| 838 | print 'reference volume', ref_volume |
---|
| 839 | print V |
---|
| 840 | |
---|
| 841 | |
---|
| 842 | # Update reference volume. |
---|
| 843 | # FIXME: Note that rate has now been redefined |
---|
| 844 | # as m/s internally. This is a little confusing |
---|
| 845 | # when it was specfied as mm/s. |
---|
| 846 | |
---|
| 847 | delta_V = fixed_rain.rate*fixed_rain.exchange_area |
---|
| 848 | ref_volume += ys * delta_V |
---|
| 849 | |
---|
| 850 | # Compute outflow at right hand downstream boundary |
---|
| 851 | boundary_flows, inflow , outflow = domain.compute_boundary_flows() |
---|
| 852 | net_outflow = outflow - inflow |
---|
| 853 | |
---|
| 854 | outflow = boundary_flows['right'] |
---|
| 855 | if verbose: |
---|
| 856 | print 'Outflow', outflow |
---|
| 857 | print 'Net outflow', net_outflow |
---|
| 858 | |
---|
| 859 | # Update reference volume |
---|
| 860 | ref_volume += ys * outflow |
---|
| 861 | |
---|
| 862 | |
---|
| 863 | |
---|
| 864 | ################################################################################# |
---|
| 865 | |
---|
| 866 | if __name__ == "__main__": |
---|
| 867 | suite = unittest.makeSuite(Test_swb_conservation, 'test') |
---|
| 868 | runner = unittest.TextTestRunner(verbosity=1) |
---|
| 869 | runner.run(suite) |
---|