Numerical Methods for the Hydrodynamic Device Model: Subsonic Flow

Carl L. Gardner, J. W. Jerome, Donald J. Rose

Research output: Contribution to journalArticlepeer-review

104 Scopus citations


An introduction to the hydrodynamic model for semiconductor devices is presented. Special attention is paid to classifying the hydrodynamic PDE's and analyzing their nonlinear wave structure. Numerical simulations of the ballistic diode using the hydrodynamic device model are presented, as an illustrative elliptic problem. The importance of nonlinear block iterative methods is emphasized. Arguments for existence of solutions and convergence of numerical methods are given for the case of subsonic electron flow.

Original languageEnglish (US)
Pages (from-to)501-507
Number of pages7
JournalIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Issue number5
StatePublished - May 1989
Externally publishedYes

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering


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