def test_min_slope(self):
""" Check what is the min slope a flowline model can produce
"""
models = [KarthausModel, FluxBasedModel, MUSCLSuperBeeModel]
kwargs = [{'fixed_dt': 3 * SEC_IN_DAY}, {}, {}]
lens = []
surface_h = []
volume = []
min_slope = []
yrs = np.arange(1, 700, 2)
for model, kw in zip(models, kwargs):
fls = dummy_constant_bed_obstacle()
mb = LinearMassBalance(2600.)
model = model(fls, mb_model=mb, y0=0., glen_a=self.glen_a, **kw)
length = yrs * 0.
vol = yrs * 0.
slope = yrs * 0.
for i, y in enumerate(yrs):
model.run_until(y)
fl = fls[-1]
length[i] = fl.length_m
vol[i] = fl.volume_km3
hgt = np.where(fl.thick > 0, fl.surface_h, np.NaN)
sl = np.arctan(-np.gradient(hgt, fl.dx_meter))
slope[i] = np.rad2deg(np.nanmin(sl))
lens.append(length)
volume.append(vol)
min_slope.append(slope)
surface_h.append(fls[-1].surface_h.copy())
np.testing.assert_allclose(lens[0][-1], lens[1][-1], atol=101)
np.testing.assert_allclose(volume[0][-1], volume[2][-1], atol=2e-3)
np.testing.assert_allclose(volume[1][-1], volume[2][-1], atol=5e-3)
self.assertTrue(utils.rmsd(volume[0], volume[2]) < 1e-2)
self.assertTrue(utils.rmsd(volume[1], volume[2]) < 1e-2)
if do_plot: # pragma: no cover
plt.figure()
plt.plot(yrs, lens[0], 'r')
plt.plot(yrs, lens[1], 'b')
plt.plot(yrs, lens[2], 'g')
plt.title('Compare Length')
plt.xlabel('years')
plt.ylabel('[m]')
plt.legend(['Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=2)
plt.figure()
plt.plot(yrs, volume[0], 'r')
plt.plot(yrs, volume[1], 'b')
plt.plot(yrs, volume[2], 'g')
plt.title('Compare Volume')
plt.xlabel('years')
plt.ylabel('[km^3]')
plt.legend(['Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=2)
plt.figure()
plt.plot(yrs, min_slope[0], 'r')
plt.plot(yrs, min_slope[1], 'b')
plt.plot(yrs, min_slope[2], 'g')
plt.title('Compare min slope')
plt.xlabel('years')
plt.ylabel('[degrees]')
plt.legend(['Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=2)
plt.figure()
plt.plot(fls[-1].bed_h, 'k')
plt.plot(surface_h[0], 'r')
plt.plot(surface_h[1], 'b')
plt.plot(surface_h[2], 'g')
plt.title('Compare Shape')
plt.xlabel('[m]')
plt.ylabel('Elevation [m]')
plt.legend(['Bed', 'Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=3)
plt.show()
def test_min_slope(self):
""" Check what is the min slope a flowline model can produce
"""
models = [KarthausModel, FluxBasedModel, MUSCLSuperBeeModel]
kwargs = [{'fixed_dt': 3*SEC_IN_DAY}, {}, {}]
lens = []
surface_h = []
volume = []
min_slope = []
yrs = np.arange(1, 700, 2)
for model, kw in zip(models, kwargs):
fls = dummy_constant_bed_obstacle()
mb = LinearMassBalance(2600.)
model = model(fls, mb_model=mb, y0=0., glen_a=self.glen_a,
**kw)
length = yrs * 0.
vol = yrs * 0.
slope = yrs * 0.
for i, y in enumerate(yrs):
model.run_until(y)
fl = fls[-1]
length[i] = fl.length_m
vol[i] = fl.volume_km3
hgt = np.where(fl.thick > 0, fl.surface_h, np.NaN)
sl = np.arctan(-np.gradient(hgt, fl.dx_meter))
slope[i] = np.rad2deg(np.nanmin(sl))
lens.append(length)
volume.append(vol)
min_slope.append(slope)
surface_h.append(fls[-1].surface_h.copy())
np.testing.assert_allclose(lens[0][-1], lens[1][-1], atol=101)
np.testing.assert_allclose(volume[0][-1], volume[2][-1], atol=2e-3)
np.testing.assert_allclose(volume[1][-1], volume[2][-1], atol=5e-3)
self.assertTrue(utils.rmsd(volume[0], volume[2]) < 1e-2)
self.assertTrue(utils.rmsd(volume[1], volume[2]) < 1e-2)
if do_plot: # pragma: no cover
plt.figure()
plt.plot(yrs, lens[0], 'r')
plt.plot(yrs, lens[1], 'b')
plt.plot(yrs, lens[2], 'g')
plt.title('Compare Length')
plt.xlabel('years')
plt.ylabel('[m]')
plt.legend(['Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=2)
plt.figure()
plt.plot(yrs, volume[0], 'r')
plt.plot(yrs, volume[1], 'b')
plt.plot(yrs, volume[2], 'g')
plt.title('Compare Volume')
plt.xlabel('years')
plt.ylabel('[km^3]')
plt.legend(['Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=2)
plt.figure()
plt.plot(yrs, min_slope[0], 'r')
plt.plot(yrs, min_slope[1], 'b')
plt.plot(yrs, min_slope[2], 'g')
plt.title('Compare min slope')
plt.xlabel('years')
plt.ylabel('[degrees]')
plt.legend(['Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=2)
plt.figure()
plt.plot(fls[-1].bed_h, 'k')
plt.plot(surface_h[0], 'r')
plt.plot(surface_h[1], 'b')
plt.plot(surface_h[2], 'g')
plt.title('Compare Shape')
plt.xlabel('[m]')
plt.ylabel('Elevation [m]')
plt.legend(['Bed', 'Karthaus', 'Flux', 'MUSCL-SuperBee'], loc=3)
plt.show()
