Wind-driving in asymptotic giant branch (AGB) stars is commonly attributed to
a two-step process. First, matter in the stellar atmosphere is levitated by
shock waves, induced by stellar pulsation, and second, this matter is
accelerated by radiation pressure on dust, resulting in a wind. In dynamical
atmosphere and wind models the effects of the stellar pulsation are often
simulated by a simplistic prescription at the inner boundary. We test a sample
of dynamical models for M-type AGB stars, for which we kept the stellar
parameters fixed to values characteristic of a typical Mira variable but varied
the inner boundary condition. The aim was to evaluate the effect on the
resulting atmosphere structure and wind properties. The results of the models
are compared to observed mass-loss rates and wind velocities, photometry, and
radial velocity curves, and to results from 1D radial pulsation models.
Dynamical atmosphere models are calculated, using the DARWIN code for different
combinations of photospheric velocities and luminosity variations. The inner
boundary is changed by introducing an offset between maximum expansion of the
stellar surface and the luminosity and/or by using an asymmetric shape for the
luminosity variation. Models that resulted in realistic wind velocities and
mass-loss rates, when compared to observations, also produced realistic
photometric variations. For the models to also reproduce the characteristic
radial velocity curve present in Mira stars (derived from CO Δv=3
lines), an overall phase shift of 0.2 between the maxima of the luminosity and
radial variation had to be introduced. We find that a group of models with
different boundary conditions (29 models, including the model with standard
boundary conditions) results in realistic velocities and mass-loss rates, and
in photometric variations
