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A WENO-Solver for the 1D Non-Stationary Boltzmann–Poisson System for Semiconductor Devices |
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| Authors: | José A Carrillo Irene M Gamba Armando Majorana Chi-Wang Shu |
| Affiliation: | (1) Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain;(2) Department of Mathematics, University of Texas at Austin, USA;(3) Dipartimento di Matematica e Informatica, Universita' di Catania, Catania, Italy;(4) Division of Applied Mathematics, Brown University, Providence, RI 02912, USA |
| Abstract: | In this work we present preliminary results of a high order WENO scheme applied to a new formulation of the Boltzmann equation (BTE) describing electron transport in semiconductor devices with a spherical coordinate system for the phase velocity space. The problem is two dimensional in the phase velocity space and one dimensional in the physical space, plus the time variable driving to steady states. The new formulation avoids the singularity due to the spherical coordinate system. |
| Keywords: | Boltzmann equation for semiconductors WENO scheme spherical coordinate system |
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