{
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    {
      "cell_type": "markdown",
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      "source": [
        "\n# Advection schemes\nIllustrating the difference between Euler and Runge-Kutta propagation\nschemes, using an idealised (analytical) eddy current field.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "from datetime import datetime, timedelta\nfrom opendrift.readers import reader_ArtificialOceanEddy\nfrom opendrift.models.oceandrift import OceanDrift\n\nfake_eddy = reader_ArtificialOceanEddy.Reader(2, 62)\n\nruns = []\nleg = []\nfor scheme in ['euler', 'runge-kutta', 'runge-kutta4']:\n    for time_step  in [1800, 3600*3]:\n        leg.append(scheme + ', T=%.1fh' % (time_step/3600.))\n        print(leg[-1])\n        o = OceanDrift(loglevel=50)\n        o.set_config('environment:fallback:land_binary_mask', 0)\n        o.set_config('drift:advection_scheme', scheme)\n        o.set_config('drift:vertical_mixing', False)\n        o.add_reader(fake_eddy)\n        o.seed_elements(lon=2.0, lat=63.0, time=datetime.utcnow())\n        o.run(duration=timedelta(days=9), time_step=time_step)\n        runs.append(o)\n\nruns[0].plot(compare=runs[1:], legend=leg, fast=True, buffer=.3)"
      ]
    }
  ],
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