Source code for sfepy.postprocess.plot_dofs

"""
Functions to visualize the mesh connectivity with global and local DOF
numberings.
"""
import numpy as nm

import matplotlib.pyplot as plt

def _get_axes(ax, dim):
    if ax is None:
        fig = plt.figure()
        if dim == 3:
            from mpl_toolkits.mplot3d import axes3d
            axes3d # Make pyflakes happy...

            ax = fig.add_subplot(111, projection='3d')

        else:
            ax = fig.add_subplot(111)

    return ax

def _to2d(coors):
    if coors.shape[1] == 1:
        coors = nm.c_[coors, nm.zeros_like(coors)]

    return coors

[docs]def plot_points(ax, coors, vals=None, point_size=20, show_colorbar=False): """ Plot points with given coordinates, optionally colored using `vals` values. """ dim = coors.shape[1] ax = _get_axes(ax, dim) colors = 'b' if vals is None else vals coors = _to2d(coors) sc = ax.scatter(*coors.T, s=point_size, c=colors, alpha=1) if show_colorbar and (vals is not None): plt.colorbar(sc) return ax
[docs]def plot_mesh(ax, coors, conn, edges): """ Plot a finite element mesh as a wireframe. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) for el in conn: eds = el[edges] for ed in eds: cc = coors[ed] ax.plot(*cc.T, color='k') return ax
[docs]def plot_global_dofs(ax, coors, econn): """ Plot global DOF numbers given in an extended connectivity. The DOF numbers are plotted for each element, so on common facets they are plotted several times - this can be used to check the consistency of the global DOF connectivity. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) for el in econn: for gdof in el: ax.text(*coors[gdof], s='%d' % gdof, color='g', fontsize=12, weight='bold') return ax
[docs]def plot_local_dofs(ax, coors, econn): """ Plot local DOF numbers corresponding to an extended connectivity. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) eps = 0.1 oeps = 1.0 - eps for el in econn: # Element centre. centre = coors[el].sum(0) / el.shape[0] for ldof, gdof in enumerate(el): # Shift labels towards the centre. cc = oeps * coors[gdof] + eps * centre ax.text(*cc, s='%d' % ldof, color='b', fontsize=10, weight='light') return ax
[docs]def plot_nodes(ax, coors, econn, ref_nodes, dofs): """ Plot Lagrange reference element nodes corresponding to global DOF numbers given in an extended connectivity. """ dim = coors.shape[1] ax = _get_axes(ax, dim) coors = _to2d(coors) eps = 0.2 oeps = 1.0 - eps for el in econn: # Element centre. centre = coors[el].sum(0) / el.shape[0] for gdof in dofs: if not gdof in el: continue ldof = nm.where(el == gdof)[0] node = ref_nodes[ldof] # Shift labels towards the centre. cc = oeps * coors[gdof] + eps * centre ax.text(*cc, s='%s' % node, color='r', fontsize=8, weight='light') return ax