analyticmeshgen.py

Analytic mesh creation tools for testing pyvale sensor simulation and uncertainty quantification functionality with a known analytic function for the scalar/vector/tensor field of interest.

rectangle_mesh_2d(leng_x, leng_y, n_elem_x, n_elem_y)

Creates the nodal coordinates and element connectivity table for a simple 2D quad mesh for a rectangular plate.

Parameters:

• leng_x (float) – Length of the plate in the x direction.

• leng_y (float) – Length of the plate in the y direction.

• n_elem_x (int) – Number of elements along the x axis

• n_elem_y (int) – Number of elements along the y axis

Returns:

tuple[np.ndarray,np.ndarray] – The coordinates and connectivity table as numpy arrays. The coordinates have shape=(n_nodes,coord[x,y,z]). The connectivity tables has shape= (nodes_per_elem,num_elems).

fill_dims_2d(coord_x, coord_y, time)

Helper function to generate 2D filled arrays tih consistent dimensions for array based maths operations. Takes 1D input vectors for the x, y and time dimensions and returns 2D arrays with shape=(num_coords,num_timesteps). Useful for evaluating analytical functions in space and time.

Parameters:

• coord_x (np.ndarray) – 1D flattened coordinate list for the x axis.

• coord_y (np.ndarray) – 1D flattened coordinate list for the y axis.

• time (np.ndarray) – 1D array of time steps.

Returns:

tuple[np.ndarray,np.ndarray,np.ndarray] – Filled 2D arrays with shape=(num_coords,num_timesteps) for the x, y and time parameters respectively.