A more accurate Scharfetter-Gummel algorithm of electron transport for semiconductor and gas discharge simulation
type: Item
instance of: scholarly article
title: A more accurate Scharfetter-Gummel algorithm of electron transport for semiconductor and gas discharge simulation
zbMATH Open document ID: 0828.76055
author: A. A. Kulikovsky
published in: Journal of Computational Physics
publication date: 1995-08-02T00:00:00Z
review text: A well-known Scharfetter-Gummel (SG) scheme for convection-dominated problems of semiconductor and gas discharge plasmas is improved. A one- dimensional convection-diffusion equation is considered. It is shown that the original SG scheme is accurate if the potential drop between two adjacent nodes is much less than the electron temperature. Tests have shown that the accuracy of this scheme is comparable to the FCT technique, but in contrast it does not produce a ``staircase'' disturbance on rapidly changing functions.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 78M20
zbMATH DE Number: 772383
zbMATH Keywords: additional nodes
zbMATH Keywords: one-dimensional convection-diffusion equation
zbMATH Keywords: potential drop
zbMATH Keywords: electron temperature
MaRDI profile type: Publication
full work available at URL: jcph.1995.1123
OpenAlex ID: W2010221888
DOI: 10.1006/JCPH.1995.1123
description: scientific article; zbMATH DE number 772383