LoopStructural.interpolators.P2Unstructured2d

class LoopStructural.interpolators.P2Unstructured2d(elements, vertices, neighbours)

Bases: BaseUnstructured2d

This class is the base

__init__(elements, vertices, neighbours)

This class is the base

Methods

__init__(elements, vertices, neighbours)	This class is the base
element_area(elements)
evaluate_d2(pos, property_array)	Evaluate value of interpolant
evaluate_d2_shape(indexes)
evaluate_gradient(evaluation_points, ...)	Evaluate the gradient of an interpolant at the locations
evaluate_shape(locations)	Evaluate the shape functions at the locations
evaluate_shape_d2(indexes)	evaluate second derivatives of shape functions in s and t
evaluate_shape_derivatives(locations[, elements])	compute dN/ds (1st row), dN/dt(2nd row)
evaluate_value(evaluation_points, property_array)	Evaluate value of interpolant
get_edge_normal(e)
get_element_for_location(points)	Determine the elements from a numpy array of points
get_element_gradient_for_location(pos)	Get the element gradients for a location
get_quadrature_points([npts])
inside(pos)	Check if a position is inside the support
onGeometryChange()	Called when the geometry changes

Attributes

barycentre	Return the barycentres of all tetrahedrons or of specified tetras using global index
dimension
element_size	Return the element size
elements	Return the elements
n_elements	Return the number of elements
n_nodes	Return the number of points
ncps	Returns the number of nodes for an element in the mesh
nodes	Gets the nodes of the mesh as a property rather than using a function, accessible as a property! Python magic!
shared_element_norm	Get the normal to all of the shared elements
shared_element_size	Get the size of the shared elements

property barycentre

Return the barycentres of all tetrahedrons or of specified tetras using global index

Parameters:

array (elements - numpy) – global index

property element_size

Return the element size

property elements

Return the elements

evaluate_d2(pos, property_array)

Evaluate value of interpolant

Parameters:

• array (prop - numpy) – locations

• array – property values at nodes

evaluate_gradient(evaluation_points, property_array)

Evaluate the gradient of an interpolant at the locations

Parameters:

• array (pos - numpy) – locations

• string (prop -) – property to evaluate

evaluate_shape(locations)

Evaluate the shape functions at the locations

Parameters:

array (locations - numpy) – locations to evaluate

evaluate_shape_d2(indexes)

evaluate second derivatives of shape functions in s and t

Parameters:

M ([type]) – [description]

Returns:

[type] – [description]

evaluate_shape_derivatives(locations, elements=None)

compute dN/ds (1st row), dN/dt(2nd row)

evaluate_value(evaluation_points: ndarray, property_array: ndarray)

Evaluate value of interpolant

Parameters:

• array (prop - numpy) – locations

• array – property values at nodes

get_element_for_location(points: ndarray) → Tuple[ndarray, ndarray, ndarray, ndarray]

Determine the elements from a numpy array of points

Parameters:

pos (np.array) –

get_element_gradient_for_location(pos: ndarray) → Tuple[ndarray, ndarray, ndarray, ndarray]

Get the element gradients for a location

Parameters:

pos (np.array) – location to evaluate

inside(pos)

Check if a position is inside the support

property n_elements

Return the number of elements

property n_nodes

Return the number of points

property ncps

Returns the number of nodes for an element in the mesh

property nodes

Gets the nodes of the mesh as a property rather than using a function, accessible as a property! Python magic!

Returns:

nodes (np.array((N,3))) – Fortran ordered

onGeometryChange()

Called when the geometry changes

property shared_element_norm

Get the normal to all of the shared elements

property shared_element_size

Get the size of the shared elements