An efficient scheme for convection-dominated transport

W. N G Hitchon, D. J. Koch, James Adams

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

Partial differential equations describing transport processes involving a significant effect of the flow velocity may be solved efficiently and easily, using a simple algorithm. The algorithm is based on the propagator(s) (or Green's functions) for the equations of transport theory. The numerical method employed is always at least as fast as finite differencing, and it reduces to a finite difference method in the short time-step limit, but is especially efficient in cases where flow dominates over diffusion and is consequently widely applicable in kinetic theory and fluid dynamics. Using this method, the ion distribution function and the potential in a plasma sheath were calculated in the presence of charge exchange collisions for a wide range of neutral densities.

Original languageEnglish (US)
Pages (from-to)79-95
Number of pages17
JournalJournal of Computational Physics
Volume83
Issue number1
DOIs
StatePublished - 1989
Externally publishedYes

Fingerprint

convection
Plasma sheaths
plasma sheaths
Kinetic theory
ion distribution
transport theory
fluid dynamics
Fluid dynamics
kinetic theory
Green's function
charge exchange
Finite difference method
Flow velocity
partial differential equations
Partial differential equations
Distribution functions
Numerical methods
Green's functions
flow velocity
distribution functions

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

An efficient scheme for convection-dominated transport. / Hitchon, W. N G; Koch, D. J.; Adams, James.

In: Journal of Computational Physics, Vol. 83, No. 1, 1989, p. 79-95.

Research output: Contribution to journalArticle

Hitchon, W. N G ; Koch, D. J. ; Adams, James. / An efficient scheme for convection-dominated transport. In: Journal of Computational Physics. 1989 ; Vol. 83, No. 1. pp. 79-95.
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