D. Kruger et al., A GENERAL MULTICOMPONENT METHOD FOR THE DESCRIPTION OF DUST GRAIN PROCESSING, Astronomy & Astrophysics. Supplement series, 113(3), 1995, pp. 593-602
We derive a special differential form of a balance or conservation equ
ation for the grain size distribution function. This equation describe
s the evolution of the grain size spectrum in one-dimensional stationa
ry flows also taking into account possible size dependent drift veloci
ties of the grains relative to the gas how. Various physical and chemi
cal processes acting differently on grains of different size and veloc
ities can be treated simultaneously: grain condensation, growth and ev
aporation, mechanical and chemical sputtering, grain coagulation and s
hattering. A corresponding computational multi-component method is pre
sented and we provide some details on efficient implementation. As a t
est calculation the numerical scheme is applied to investigate mechani
cal sputtering of grains due to dense shocks.