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

Author

Morales Escalante, Jose A. ; Gamba, Irene M.

Author_Institution

Inst. for Comput. Eng. & Sci. (ICES), Univ. of Texas at Austin, Austin, TX, USA

fYear

2014

fDate

3-6 June 2014

Firstpage

1

Lastpage

4

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.

Keywords

Boltzmann equation; Galerkin method; Poisson equation; hot carriers; Boltzmann-Poisson semiclassical models; FEM; boundary conditions; diffusive reflection; discontinuous Galerkin solvers; finite element method; hot electronic transport; kinetic moments; mixed convex combination; Analytical models; Boundary conditions; Kinetic theory; Mathematical model; Method of moments; Numerical models; Semiconductor process modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Electronics (IWCE), 2014 International Workshop on

Conference_Location

Paris

Type

conf

DOI

10.1109/IWCE.2014.6865873

Filename

6865873