Super Toroid

Tetrahedralize a super toroid surface.

# sphinx_gallery_thumbnail_number = 2
import pyvista as pv
import tetgen

Create and tetrahedralize a super torid.

We merge the points here to make sure that the surface is manifold.

toroid = pv.ParametricSuperToroid(u_res=50, v_res=50, w_res=50).clean(tolerance=1e-9)
tet = tetgen.TetGen(toroid)
tet.tetrahedralize(order=1, mindihedral=20, minratio=1.5)
grid = tet.grid
grid.plot()

Plot the tessellated mesh.

# get cell centroids
cells = grid.cells.reshape(-1, 5)[:, 1:]
cell_center = grid.points[cells].mean(1)

# extract cells below the 0 xy plane
mask = cell_center[:, 2] < 0
cell_ind = mask.nonzero()[0]
subgrid = grid.extract_cells(cell_ind)

# advanced plotting
plotter = pv.Plotter()
plotter.add_mesh(subgrid, color="lightgrey", lighting=True, show_edges=True)
plotter.add_mesh(toroid, color="r", style="wireframe")
plotter.add_legend([[" Input Mesh ", "r"], [" Tessellated Mesh ", "black"]])
plotter.show()

Show the cell quality

cell_qual = subgrid.compute_cell_quality()["CellQuality"]
subgrid.plot(
    scalars=cell_qual,
    scalar_bar_args={"title": "Cell Quality"},
    cmap="bwr",
    clim=[0, 1],
    flip_scalars=True,
    show_edges=True,
)