plot_outflow_eddies_streamlines.ipynb

Kernel: Python 3 (system-wide)

import k3d
import scipy.io as sio
import numpy as np
from k3d import matplotlib_color_maps

j_values = [47, 54, 71, 105, 130]  # Values of j to process
green_dot_positions = [39, 53, 93, 197, 298]  # Corresponding green dot positions

for j, gdot in zip(j_values, green_dot_positions):
    filename = f'eddy_isosurf_stream_j_{j:03d}.mat'
    temp1 = sio.loadmat(filename)
    
    a = temp1['streamlineArray1']  # Extract the 3D array
    n1, n2, n3 = a.shape

    indices = temp1['indices1']
    vertices = temp1['vertices1']
    c = temp1['faceColor1']
    plt_mesh = k3d.mesh(vertices, indices,
                        color_map=matplotlib_color_maps.PiYG_r,
                        attribute=c,
                        color_range=[-0.1, 0.1], side='double')

    green_dot = k3d.points(positions=np.array([[0, 0, gdot]], dtype=np.float32), 
                            point_size=5.0, 
                            color=0x00FF00)

    plot = k3d.plot(grid=(-600, -200, 0, 600, 200, 300),
                   axes=['z^+', 'x^+', 'y^+'])
    plot.camera_auto_fit = True

    plot += plt_mesh
    plot += green_dot

    # Loop to add streamlines
    for i in range(n3):  
        x = a[:, 0, i]  # Extract x-coordinates for streamline i
        y = a[:, 1, i]  # Extract y-coordinates for streamline i
        z = a[:, 2, i]  # Extract z-coordinates for streamline i

        # Ensure x, y, z have the same length
        if len(x) == len(y) == len(z):  
            streamline = np.column_stack((x, y, z))  # Stack into (N,3) format
            plot += k3d.line(streamline, width=2.0, color=0x000000)  # Black streamline
        else:
            print(f"Skipping streamline {i} in j={j} due to inconsistent dimensions: x={len(x)}, y={len(y)}, z={len(z)}")

    # Save snapshot
    output_filename = f'eddy_streamline_outflow_yplus_{gdot:03d}.html'
    with open(output_filename, 'w') as fp:
        fp.write(plot.get_snapshot())

    print(f"Saved plot for j={j} with green dot at {gdot} to {output_filename}")

Saved plot for j=47 with green dot at 39 to eddy_streamline_outflow_yplus_039.html
Saved plot for j=54 with green dot at 53 to eddy_streamline_outflow_yplus_053.html
Saved plot for j=71 with green dot at 93 to eddy_streamline_outflow_yplus_093.html
Saved plot for j=105 with green dot at 197 to eddy_streamline_outflow_yplus_197.html
Saved plot for j=130 with green dot at 298 to eddy_streamline_outflow_yplus_298.html