Source code for felupe.region._templates

# -*- coding: utf-8 -*-
"""
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|   |___ |   |___ |   |    |  |_|  ||   |_| ||   |___ 
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|   |    |   |___ |       ||       ||   |    |   |___ 
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This file is part of felupe.

Felupe is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

Felupe is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with Felupe.  If not, see <http://www.gnu.org/licenses/>.

"""

import numpy as np

from ..element import (
    ArbitraryOrderLagrange,
    ConstantHexahedron,
    ConstantQuad,
    Hexahedron,
    Quad,
    QuadraticHexahedron,
    QuadraticTetra,
    QuadraticTriangle,
    Tetra,
    TetraMINI,
    Triangle,
    TriangleMINI,
    TriQuadraticHexahedron,
)
from ..mesh import Mesh
from ..quadrature import GaussLegendre, GaussLegendreBoundary
from ..quadrature import Tetrahedron as TetraQuadrature
from ..quadrature import Triangle as TriangleQuadrature
from ._boundary import RegionBoundary
from ._region import Region


[docs]class RegionConstantQuad(Region): "A region with a constant quad element." def __init__(self, mesh, offset=0, npoints=None): element = ConstantQuad() quadrature = GaussLegendre(order=1, dim=2) if npoints is not None: npts = npoints else: npts = offset + mesh.ncells points = np.zeros((npts, mesh.dim), dtype=int) cells = offset + np.arange(mesh.ncells).reshape(-1, 1) m = Mesh(points, cells, mesh.cell_type) super().__init__(m, element, quadrature, grad=False)
[docs]class RegionQuad(Region): "A region with a quad element." def __init__(self, mesh): element = Quad() quadrature = GaussLegendre(order=1, dim=2) super().__init__(mesh, element, quadrature)
[docs]class RegionQuadBoundary(RegionBoundary): "A region with a quad element." def __init__(self, mesh, only_surface=True, mask=None, ensure_3d=False): element = Quad() quadrature = GaussLegendreBoundary(order=1, dim=2) super().__init__( mesh, element, quadrature, only_surface=only_surface, mask=mask, ensure_3d=ensure_3d, )
[docs]class RegionConstantHexahedron(Region): "A region with a constant hexahedron element." def __init__(self, mesh, offset=0, npoints=None): element = ConstantHexahedron() quadrature = GaussLegendre(order=1, dim=3) if npoints is not None: npts = npoints ncells = min(npoints, mesh.ncells) else: npts = offset + mesh.ncells ncells = mesh.ncells points = np.zeros((npts, mesh.dim), dtype=int) cells = offset + np.arange(ncells).reshape(-1, 1) m = Mesh(points, cells, mesh.cell_type) super().__init__(m, element, quadrature, grad=False)
[docs]class RegionHexahedron(Region): "A region with a hexahedron element." def __init__(self, mesh): element = Hexahedron() quadrature = GaussLegendre(order=1, dim=3) super().__init__(mesh, element, quadrature)
[docs]class RegionHexahedronBoundary(RegionBoundary): "A region with a hexahedron element." def __init__(self, mesh, only_surface=True, mask=None): element = Hexahedron() quadrature = GaussLegendreBoundary(order=1, dim=3) super().__init__( mesh, element, quadrature, only_surface=only_surface, mask=mask )
[docs]class RegionQuadraticHexahedron(Region): "A region with a (serendipity) quadratic hexahedron element." def __init__(self, mesh): element = QuadraticHexahedron() quadrature = GaussLegendre(order=2, dim=3) super().__init__(mesh, element, quadrature)
[docs]class RegionTriQuadraticHexahedron(Region): "A region with a tri-quadratic (lagrange) hexahedron element." def __init__(self, mesh): element = TriQuadraticHexahedron() quadrature = GaussLegendre(order=2, dim=3) super().__init__(mesh, element, quadrature)
[docs]class RegionLagrange(Region): "A region with an arbitrary order lagrange element." def __init__(self, mesh, order, dim): element = ArbitraryOrderLagrange(order, dim) quadrature = GaussLegendre(order, dim, permute=False) super().__init__(mesh, element, quadrature)
[docs]class RegionTriangle(Region): "A region with a triangle element." def __init__(self, mesh): element = Triangle() quadrature = TriangleQuadrature(order=1) super().__init__(mesh, element, quadrature)
[docs]class RegionTetra(Region): "A region with a tetra element." def __init__(self, mesh): element = Tetra() quadrature = TetraQuadrature(order=1) super().__init__(mesh, element, quadrature)
[docs]class RegionTriangleMINI(Region): "A region with a triangle-MINI element." def __init__(self, mesh): element = TriangleMINI() quadrature = TriangleQuadrature(order=2) super().__init__(mesh, element, quadrature)
[docs]class RegionTetraMINI(Region): "A region with a tetra-MINI element." def __init__(self, mesh): element = TetraMINI() quadrature = TetraQuadrature(order=2) super().__init__(mesh, element, quadrature)
[docs]class RegionQuadraticTriangle(Region): "A region with a quadratic triangle element." def __init__(self, mesh): element = QuadraticTriangle() quadrature = TriangleQuadrature(order=1) super().__init__(mesh, element, quadrature)
[docs]class RegionQuadraticTetra(Region): "A region with a quadratic tetra element." def __init__(self, mesh): element = QuadraticTetra() quadrature = TetraQuadrature(order=2) super().__init__(mesh, element, quadrature)