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;

57:46 INFO    opendrift.models.basemodel:515: OpenDriftSimulation initialised (version 1.11.13 / v1.11.13-99-gd2132d3)
57:46 INFO    opendrift.readers.reader_netCDF_CF_generic:102: Opening dataset: /root/project/tests/test_data/16Nov2015_NorKyst_z_surface/norkyst800_subset_16Nov2015.nc
57:47 INFO    opendrift.readers.reader_netCDF_CF_generic:325: 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)

57:50 INFO    opendrift.models.basemodel.environment:245: Fallback values will be used for the following variables which have no readers:
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_height: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    x_wind: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    y_wind: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    upward_sea_water_velocity: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    ocean_vertical_diffusivity: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_significant_height: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_x_velocity: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_y_velocity: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_period_at_variance_spectral_density_maximum: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_mean_period_from_variance_spectral_density_second_frequency_moment: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_to_direction: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_peak_period_from_variance_spectral_density: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_significant_height: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_to_direction: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_mean_period: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_significant_height: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    surface_downward_x_stress: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    surface_downward_y_stress: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    turbulent_kinetic_energy: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    turbulent_generic_length_scale: 0.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    ocean_mixed_layer_thickness: 50.000000
57:50 INFO    opendrift.models.basemodel.environment:248:    sea_floor_depth_below_sea_level: 10000.000000
57:51 INFO    opendrift.models.basemodel:936: Using existing reader for land_binary_mask
57:51 INFO    opendrift.models.basemodel:947: 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)

57:53 INFO    opendrift.models.basemodel:515: OpenDriftSimulation initialised (version 1.11.13 / v1.11.13-99-gd2132d3)
57:53 INFO    opendrift.models.basemodel.environment:245: Fallback values will be used for the following variables which have no readers:
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_height: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    x_wind: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    y_wind: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    upward_sea_water_velocity: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    ocean_vertical_diffusivity: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_significant_height: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_x_velocity: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_y_velocity: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_period_at_variance_spectral_density_maximum: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_mean_period_from_variance_spectral_density_second_frequency_moment: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_to_direction: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_peak_period_from_variance_spectral_density: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_significant_height: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_to_direction: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_mean_period: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_significant_height: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    surface_downward_x_stress: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    surface_downward_y_stress: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    turbulent_kinetic_energy: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    turbulent_generic_length_scale: 0.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    ocean_mixed_layer_thickness: 50.000000
57:53 INFO    opendrift.models.basemodel.environment:248:    sea_floor_depth_below_sea_level: 10000.000000
57:53 INFO    opendrift.models.basemodel:936: Using existing reader for land_binary_mask
57:53 INFO    opendrift.models.basemodel:947: All points are in ocean
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/root/project/opendrift/readers/interpolation/interpolators.py:17: RuntimeWarning: overflow encountered in cast
  data[mask] = np.finfo(np.float64).min
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Animate and compare the two runs

o.animation(compare=o2, legend=['Euler scheme', 'Runge-Kutta scheme'], fast=True)

12:57:58 WARNING opendrift.models.basemodel:2411: 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)
12:58:01 INFO    opendrift.models.basemodel:4613: Saving animation to /root/project/docs/source/gallery/animations/example_rungekutta_norkyst_0.gif...
12:59:27 INFO    opendrift.models.basemodel:3037: Time to make animation: 0:01:28.879000

../_images/example_rungekutta_norkyst_0.gif

Total running time of the script: (1 minutes 45.162 seconds)

Gallery generated by Sphinx-Gallery