Cells

Cells(n_cells, centers, nodes, interface_area, cell_area, face_distances)

Represents the spatial discretization of a 1D domain into cells.

This class defines the geometry and discretization of the 1D transport domain, including cell centers, nodes, areas, and distances.

Parameters

Name	Type	Description	Default
n_cells	int	Number of cells in the domain.	required
centers	jax.Array	The x coordinate of the center of each cell. Shape = (n_cells,).	required
nodes	jax.Array	The x coordinate of the points between cells, including boundaries. Shape = (n_cells + 1,).	required
interface_area	jax.Array	Cross-sectional area at cell interfaces. Shape = (n_cells + 1,).	required
cell_area	jax.Array	Cross-sectional area of each cell. Shape = (n_cells,).	required
face_distances	jax.Array	Distance between cell faces. Shape = (n_cells,).	required

Attributes

Name	Description
center_distances	Return the distance between cell centers (dx for slope computation).

Methods

Name	Description
equally_spaced	Create an equally spaced cell grid for the transport domain.

equally_spaced

Cells.equally_spaced(length, n_cells, *, interface_area=None)

Create an equally spaced cell grid for the transport domain.

Parameters

Name	Type	Description	Default
length	float	Total length of the domain.	required
n_cells	int	Number of cells in the domain.	required
interface_area	jax.Array	Cross-sectional area at cell interfaces. Default is a constant array of ones.	None

Returns

Name	Type	Description
	Cells	Spatial discretization object for the domain.