In order to reduce the number of partial differential equations and transform them into something similar to the general transport equation within the Ansys CFX solver, a formulation based on the electric scalar potential , and the magnetic vector potential is used. The following vector identities are used:

(9–20)

(9–21)

(9–22)

The electric and magnetic vector potentials are defined as:

(9–23)

(9–24)

Equation 9–1 and Equation 9–3 are automatically satisfied:

(9–25)

(9–26)