Numerical modelling of plasma systems is proving an increasingly valua
ble tool in the understanding of fundamental processes in reactors for
surface engineering applications. The present paper discusses some of
the fundamental physical and mathematical models used to describe pla
sma behaviour and their range of validity and applicability to plasma
reactors. A number of specific examples which illustrate the way in wh
ich these methods may be implemented to model plasmas in dc and rf dio
de reactors and plasma 'ball' microwave reactors are described, with c
omparison between numerical results, diagnostic measurements and exper
imental observations from the published literature.