#!/usr/bin/env python """ Double gyre, advection ====================== Illustrating the difference between Euler and Runge-Kutta propagation schemes, using an idealised (analytical) eddy current field. Double gyre current field from https://shaddenlab.berkeley.edu/uploads/LCS-tutorial/examples.html """ import numpy as np from datetime import datetime, timedelta from opendrift.readers import reader_double_gyre from opendrift.models.oceandrift import OceanDrift double_gyre = reader_double_gyre.Reader(epsilon=.25, omega=0.628, A=0.25) duration=timedelta(seconds=6) x = [.6] y = [.3] lon, lat = double_gyre.xy2lonlat(x, y) runs = [] leg = [] i = 0 for scheme in ['euler', 'runge-kutta', 'runge-kutta4']: for time_step in [0.01, 0.1]: leg.append(scheme + ', T=%.2fs' % time_step) print(leg[-1]) o = OceanDrift(loglevel=50) o.set_config('environment:fallback:land_binary_mask', 0) o.set_config('drift:advection_scheme', scheme) o.add_reader(double_gyre) o.seed_elements(lon, lat, time=double_gyre.initial_time) o.run(duration=duration, time_step=time_step) runs.append(o) i = i + 1 runs[0].plot(compare=runs[1:], legend=leg, buffer=0.000001, hide_landmask=True)