SemiInfiniteCoordinateTransform

Source: models/finite_volume/SemiInfiniteCoordinateTransform.py

Transform a semi-infinite coordinate to x / (x + s).

Linear-fractional map of an input coordinate \(x\) into the unit interval via the shift parameter \(s\). The pushforward in the \(x\) direction is \(s / (x + s)^2 * V\) (the standard d/dx of x/(x+s)); \(s\) is a forward-only static parameter (the C++ side allows promotion to an nl input, left for a follow-on since the native ModelUnitTest only checks input derivatives).

Inputs

coordinate — input · Scalar · required

Input coordinate.

Outputs

transformed_coordinate — output · Scalar · default state/x_hat

Transformed coordinate.

Parameters

shift — parameter · Scalar · required

Shift parameter.