A more accurate Scharfetter-Gummel algorithm of electron transport for semiconductor and gas discharge simulation
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.
one-dimensional convection-diffusion equation
scientific article; zbMATH DE number 772383