DDFV Schemes for semiconductors energy-transport models

Giulia Lissoni (1, 2)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 COFFEE - COmplex Flows For Energy and Environment

We propose a Discrete Duality Finite Volume scheme (DDFV for short) for an energy transport model for semiconductors. As in the continuous case, thanks to a change of variables into the so-called "entropic variables", we are able to prove a discrete entropy-dissipation estimate, which gives a priori estimates for the problem. We perform some numerical tests for the 2D ballistic diode, by comparing the Chen model and the Lyumkis model.

Mots clés: semiconductor device; diode; energy-transport; finite volumes; DDFV

Domaines: Mathématiques [math]; Analyse numérique [math.NA]

Giulia Lissoni. DDFV Schemes for semiconductors energy-transport models. ALGORITMY 2020 - Conference on Scientific Computing, Sep 2020, Podbanske, Slovakia. ⟨hal-02899787⟩