shapes.rectangle#

shapes.rectangle(dim=(1.0, 1.0), corner=(0.0, 0.0, 0.0), div=1, eltype='line2')#

Create a rectangle mesh in the xy-plane.

Parameters#

dimtuple of float, optional

Dimensions of the rectangle. First value specifies the width along the x-axis, second value the height along the y-axis. Default is (1.0, 1.0).

cornerarray_like of shape (3,), optional

Coordinates of the bottom-left corner of the rectangle. Default is (0.0, 0.0, 0.0).

divseed or list of two seeds, optional

Subdivision specification along the width and height. div can be any of the values accepted by smartSeed(), or a list of two such values. If only one seed is given, it is applied to both directions.

Accepted values for each seed are:

  • If int: number of equal subdivisions.

  • If list of floats: explicit subdivision values (must start with 0.0 and end with 1.0).

  • If tuple: (n, bias_start, bias_end), see smartSeed().

eltype{“quad4”, “tri3”, “line2”}, optional

Output element type:

  • “quad4”: quadrilateral surface mesh (default).

  • “tri3”: triangular surface mesh (each quad split into triangles).

  • “line2”: line mesh representing the boundary edges only.

Returns#

Mesh

Mesh representation of the rectangle in the specified element type.

Examples#

>>> M1 = rectangle(div=[3, 1], eltype="quad4")
>>> print(M1)
Mesh: n_nodes: 8, n_elems: 3, plexitude: 4, level: 2, eltype: quad4
  BBox: [0. 0. 0.], [1. 1. 0.]
  Size: [1. 1. 0.]
  Length: 4.0  Area: 1.0

Rectangle consisting of triangular elements:

>>> M2 = rectangle(div=2, eltype="tri3")
>>> print(M2)
Mesh: n_nodes: 9, n_elems: 8, plexitude: 3, level: 2, eltype: tri3
  BBox: [0. 0. 0.], [1. 1. 0.]
  Size: [1. 1. 0.]
  Length: 4.0  Area: 1.0

Contour of a rectangle (line elements):

>>> M3 = rectangle(dim=(3.0, 2.0), corner=(1.0, 1.0, 0.0), eltype="line2")
>>> print(M3)
Mesh: n_nodes: 4, n_elems: 4, plexitude: 2, level: 1, eltype: line2
  BBox: [1. 1. 0.], [4. 3. 0.]
  Size: [3. 2. 0.]
  Length: 10.0
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