Efficient implementation of the convective terms in the hydrodynamic equations Original Research Article

A new discretization scheme for the current density in the hydrodynamic model is presented. This scheme is an extension of the Scharfetter–Gummel (S–G) method and is derived without neglecting the convective term in the current density. Simulation of two model n–i–n diodes shows that this method gives better numerical results than the conventional upwind and S–G methods.