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DDFV Schemes for semiconductors energy-transport models

Giulia Lissoni 1, 2
2 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : 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.
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Submitted on : Wednesday, July 15, 2020 - 2:57:28 PM
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Giulia Lissoni. DDFV Schemes for semiconductors energy-transport models. ALGORITMY 2020, Sep 2020, Podbanske, Slovakia. ⟨hal-02899787⟩

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