Boundary conditions effects by Discontinuous Galerkin solvers for Boltzmann-Poisson models of electron transport

Jose A. Morales Escalante; Irene M. Gamba

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arXiv · 1411.5446

Boundary conditions effects by Discontinuous Galerkin solvers for Boltzmann-Poisson models of electron transport

Jose A. Morales Escalante·Irene M. Gamba

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Abstract

In this paper we perform, by means of Discontinuous Galerkin (DG) Finite Element Method (FEM) based numerical solvers for Boltzmann-Poisson (BP) semiclassical models of hot electronic transport in semiconductors, a numerical study of reflective boundary conditions in the BP system, such as specular reflection, diffusive reflection, and a mixed convex combination of these reflections, and their effect on the behavior of the solution. A boundary layer effect is observed in our numerical simulations for the kinetic moments related to diffusive and mixed reflection.

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Jose A. Morales Escalante, Irene M. Gamba. 2014-11-20. Boundary conditions effects by Discontinuous Galerkin solvers for Boltzmann-Poisson models of electron transport. https://arxiv.org/abs/1411.5446

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