Comparison of the classical integral model with Eddington approximationand Helmholtz equation based models for photoionization produced bynon-thermal gas discharges in air

摘要

This paper presents extensions of computationally efficient models of photoionization produced bynon-thermal gas discharges in air based on the Eddington approximation to the radiative transferequation proposed recently by Ségur et al. [2006], and on the effective representation of the classicintegral model for photoionization in air developed by Zheleznyak et al. [1982] by a set of threeHelmholtz differential equations proposed recently by Luque et al. [2007]. The validity of thedeveloped models is demonstrated by performing direct comparisons of the results from thesemodels and results obtained from the classic integral model. Specific validation comparisons arepresented for a set of artificial sources of photoionizing radiation with different Gaussiandimensions, and for a realistic problem involving development of a double-headed streamer atground pressure.