# Dust formation in winds of long-period variables

I. Equations, method of solution, simple examples

## E.A. Dorfi, S. Höfner

We present time-dependent numerical calculations of the formation and growth
of dust particles in stellar winds. The production rate and the properties of
the dust are obtained by solving the moment equations derived by Gail &
Sedlmayr (1988) and generalized by Gauger et al. (1990). The equations are
reformulated to allow arbitrary motions of grid points. The numerical technique
used is similar to an implicit formulation of the equations of radiation
hydrodynamics in conservative form and will allow an incorporation into the
existing radiation hydrodynamics code. In this first paper we calculate with a
new numerical method the formation of carbon dust in stationary stellar winds
around cool C-rich stars to compare these results with models available in the
literature.

*A&A 248, 105*

hoefner@amok.ast.univie.ac.at