Note
Go to the end to download the full example code.
Runge-Kutta scheme on Norkyst model
Illustrating the difference between Euler and Runge-Kutta propagation schemes, using a “real” current fields from the NorKyst800 model
from opendrift.readers import reader_global_landmask
from opendrift.readers import reader_netCDF_CF_generic
from opendrift.models.oceandrift import OceanDrift
o = OceanDrift(loglevel=20) # Set loglevel to 0 for debug information
reader_norkyst = reader_netCDF_CF_generic.Reader(o.test_data_folder() +
'16Nov2015_NorKyst_z_surface/norkyst800_subset_16Nov2015.nc')
time = reader_norkyst.start_time
reader_landmask = reader_global_landmask.Reader()
o.add_reader([reader_norkyst, reader_landmask])
lon = 4.5; lat = 60.0;
20:19:34 INFO opendrift.models.basemodel:515: OpenDriftSimulation initialised (version 1.12.0 / v1.12.0-26-g390e945)
20:19:34 INFO opendrift.readers:58: Opening file with xr.open_dataset
20:19:34 INFO opendrift.readers.reader_netCDF_CF_generic:337: Detected dimensions: {'x': 'X', 'y': 'Y', 'z': 'depth', 'time': 'time'}
First run, with Euler scheme:
o.set_config('drift:advection_scheme', 'euler')
o.seed_elements(lon, lat, radius=0, number=1, time=time)
o.run(steps=66*2, time_step=1800)
20:19:37 INFO opendrift.models.basemodel.environment:245: Fallback values will be used for the following variables which have no readers:
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_height: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: x_wind: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: y_wind: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: upward_sea_water_velocity: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: ocean_vertical_diffusivity: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_significant_height: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_stokes_drift_x_velocity: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_stokes_drift_y_velocity: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_period_at_variance_spectral_density_maximum: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_mean_period_from_variance_spectral_density_second_frequency_moment: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_swell_wave_to_direction: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_swell_wave_peak_period_from_variance_spectral_density: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_swell_wave_significant_height: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wind_wave_to_direction: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wind_wave_mean_period: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_surface_wind_wave_significant_height: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: surface_downward_x_stress: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: surface_downward_y_stress: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: turbulent_kinetic_energy: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: turbulent_generic_length_scale: 0.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: ocean_mixed_layer_thickness: 50.000000
20:19:37 INFO opendrift.models.basemodel.environment:248: sea_floor_depth_below_sea_level: 10000.000000
20:19:38 INFO opendrift.models.basemodel:935: Using existing reader for land_binary_mask
20:19:38 INFO opendrift.models.basemodel:946: All points are in ocean
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Second run, with Runge-Kutta scheme:
o2 = OceanDrift(loglevel=20) # Set loglevel to 0 for debug information
o2.add_reader([reader_norkyst, reader_landmask])
o2.set_config('drift:advection_scheme', 'runge-kutta')
o2.seed_elements(lon, lat, radius=0, number=1, time=time)
o2.run(steps=66*2, time_step=1800)
20:19:41 INFO opendrift.models.basemodel:515: OpenDriftSimulation initialised (version 1.12.0 / v1.12.0-26-g390e945)
20:19:41 INFO opendrift.models.basemodel.environment:245: Fallback values will be used for the following variables which have no readers:
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_height: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: x_wind: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: y_wind: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: upward_sea_water_velocity: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: ocean_vertical_diffusivity: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_significant_height: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_stokes_drift_x_velocity: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_stokes_drift_y_velocity: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_period_at_variance_spectral_density_maximum: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wave_mean_period_from_variance_spectral_density_second_frequency_moment: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_swell_wave_to_direction: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_swell_wave_peak_period_from_variance_spectral_density: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_swell_wave_significant_height: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wind_wave_to_direction: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wind_wave_mean_period: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_surface_wind_wave_significant_height: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: surface_downward_x_stress: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: surface_downward_y_stress: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: turbulent_kinetic_energy: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: turbulent_generic_length_scale: 0.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: ocean_mixed_layer_thickness: 50.000000
20:19:41 INFO opendrift.models.basemodel.environment:248: sea_floor_depth_below_sea_level: 10000.000000
20:19:41 INFO opendrift.models.basemodel:935: Using existing reader for land_binary_mask
20:19:41 INFO opendrift.models.basemodel:946: All points are in ocean
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Animate and compare the two runs
o.animation(compare=o2, legend=['Euler scheme', 'Runge-Kutta scheme'], fast=True)
20:19:46 WARNING opendrift.models.basemodel:2410: Plotting fast. This will make your plots less accurate.
/opt/conda/envs/opendrift/lib/python3.11/site-packages/cartopy/mpl/geoaxes.py:1692: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored
result = super().scatter(*args, **kwargs)
20:19:49 INFO opendrift.models.basemodel:4613: Saving animation to /root/project/docs/source/gallery/animations/example_rungekutta_norkyst_0.gif...
20:21:19 INFO opendrift.models.basemodel:3037: Time to make animation: 0:01:32.730487
Total running time of the script: (1 minutes 48.599 seconds)