geopyv.geometry.utilities

Module Contents

Functions

PolyArea(pts)

A function that returns the area of the input polygon.

area_to_length(area)

Function that returns a characteristic length given an element area, based on an equilateral triangle.

plot_triangulation(elements, x, y)

Method to compute a first order triangulation from a second order element connectivity array and coordinates.
geopyv.geometry.utilities.PolyArea(pts)

A function that returns the area of the input polygon.

Parameters:

pts (numpy.ndarray (Nx,2)) – Clockwise/anti-clockwise ordered coordinates.

geopyv.geometry.utilities.area_to_length(area)

Function that returns a characteristic length given an element area, based on an equilateral triangle.

Parameters:

area (float) – Element area.

Returns:

length – Characteristic length.

Return type:

float

geopyv.geometry.utilities.plot_triangulation(elements, x, y)

Method to compute a first order triangulation from a second order element connectivity array and coordinates.

Parameters:

  • elements (np.ndarray (Nx, 6)) – Element connectivity array.

  • x (np.ndarray (Nx, 1)) – Horizontal coordinate array.

  • y (np.ndarray (Nx, 1)) – Vertical coordinate array.

Returns:

  • mesh_triangulation (np.ndarray (Nx, 7)) – Mesh triangulation array for plot purposes forming closed triangles.

  • x_p (np.ndarray (Nx, 1)) – Horizontal coordinate of triangle vertices.

  • y_p (np.ndarray (Nx, 1)) – Vertical coordinate of triangle vertices.