Double gyre iLE

Compute the iLE field for the double gyre.

# Author: ajarvis

import numpy as np
import matplotlib.pyplot as plt
from numbacs.flows import get_predefined_callable
from numbacs.diagnostics import ile_2D_func

Get flow

Set the initial time, retrieve a jit-callable for the flow, and set up domain.

# set time at which to compute iLE
t0 = 0.0

# retrieve function pointer, parameters, and domain for double gyre flow.
vel_func, domain = get_predefined_callable("double_gyre")

# set up domain
nx, ny = 401, 201
x = np.linspace(domain[0][0], domain[0][1], nx)
y = np.linspace(domain[1][0], domain[1][1], ny)
dx = x[1] - x[0]
dy = y[1] - y[0]

iLE

Compute iLE from velocity function at t = t0.

ile = ile_2D_func(vel_func, x, y, t0=t0)

Plot

Plot the results.

fig, ax = plt.subplots(dpi=200)
ax.contourf(x, y, ile.T, levels=80)
ax.set_aspect("equal")
plt.show()