SfePy NTC

Source code for sfepy.discrete.fem.fe_surface

import numpy as nm

from sfepy.base.base import get_default, Struct
from sfepy.discrete.fem.facets import build_orientation_map
from sfepy.discrete.fem.utils import prepare_remap

[docs]class FESurface(Struct): """Description of a surface of a finite element domain.""" def __init__(self, name, region, efaces, volume_econn, ig): """nodes[leconn] == econn""" """nodes are sorted by node number -> same order as region.vertices""" self.name = get_default(name, 'surface_data_%s' % region.name) face_indices = region.get_facet_indices(ig) faces = efaces[face_indices[:,1]] if faces.size == 0: raise ValueError('region with group with no faces! (%s)' % region.name) try: ee = volume_econn[face_indices[:,0]] except: raise ValueError('missing region face indices! (%s)' % region.name) econn = nm.empty(faces.shape, dtype=nm.int32) for ir, face in enumerate( faces ): econn[ir] = ee[ir,face] nodes = nm.unique(econn) remap = prepare_remap(nodes, nodes.max() + 1) leconn = remap[econn].copy() n_fa, n_fp = face_indices.shape[0], faces.shape[1] face_type = 's%d' % n_fp # Store bkey in SurfaceData, so that base function can be # queried later. bkey = 'b%s' % face_type[1:] self.ig = ig self.econn = econn self.fis = nm.ascontiguousarray(face_indices.astype(nm.int32)) self.n_fa, self.n_fp = n_fa, n_fp self.nodes = nodes self.leconn = leconn self.face_type = face_type self.bkey = bkey self.meconn = self.mleconn = None if self.n_fp <= 4: self.ori_map, _, _ = build_orientation_map(self.n_fp) else: self.ori_map = None
[docs] def setup_mirror_connectivity(self, region): """ Setup mirror surface connectivity required to integrate over a mirror region. 1. Get orientation of the faces: a) for elements in group ig -> ooris (own) b) for elements in group mig -> moris (mirror) 2. orientation -> permutation. """ mregion, ig_map, ig_map_i = region.get_mirror_region() mig = ig_map_i[self.ig] oo = self.ori_map ori_map = nm.zeros((nm.max(oo.keys()) + 1, self.n_fp), dtype=nm.int32) ori_map[oo.keys()] = nm.array([ii[1] for ii in oo.values()]) conn = region.domain.cmesh.get_conn_as_graph(region.dim, region.dim - 1) oris = region.domain.cmesh.facet_oris ofis = region.get_facet_indices(self.ig, offset=False) ooris = oris[conn.indptr[ofis[:, 0]] + ofis[:, 1]] mfis = mregion.get_facet_indices(mig, offset=False) moris = oris[conn.indptr[mfis[:, 0]] + mfis[:, 1]] omap = ori_map[ooris] mmap = ori_map[moris] n_el, n_ep = self.econn.shape ii = nm.repeat(nm.arange(n_el)[:, None], n_ep, 1) self.meconn = nm.empty_like(self.econn) self.meconn[ii, omap] = self.econn[ii, mmap] nodes = nm.unique(self.meconn) remap = prepare_remap(nodes, nodes.max() + 1) self.mleconn = remap[self.meconn].copy()
[docs] def get_connectivity(self, local=False, is_trace=False): """ Return the surface element connectivity. Parameters ---------- local : bool If True, return local connectivity w.r.t. surface nodes, otherwise return global connectivity w.r.t. all mesh nodes. is_trace : bool If True, return mirror connectivity according to `local`. """ if not is_trace: if local: return self.leconn else: return self.econn else: if local: return self.mleconn else: return self.meconn