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Calculate the curl of a vector field in Python and plot it with Matplotlib
To calculate the curl of a vector field in Python and plot in with Matplotlib, we can use quiver() method and calculate the corresponding data.
Steps
- Set the figure size and adjust the padding between and around the subplots.
- Create a new figure or activate an existing figure using figure() method.
- Add a 3D axes to the figure as part of a subplot arrangement.
- Create x, y and z data points using numpy meshgrid.
- Create u, v and w data curl vector positions.
- Use quiver() method to get vectors.
- Turn off the axes.
- To display the figure, use show() method.
Example
import matplotlib.pyplot as plt import numpy as np plt.rcParams["figure.figsize"] = [7.50, 3.50] plt.rcParams["figure.autolayout"] = True fig = plt.figure() ax = fig.add_subplot(projection='3d') x, y, z = np.meshgrid(np.arange(-0.8, 1, 0.2), np.arange(-0.8, 1, 0.2), np.arange(-0.8, 1, 0.8)) u = 0 v = y**2 w = -2*y*z - y ax.quiver(x, y, z, u, v, w, length=0.1) ax.axis('off') plt.show()
Output
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