We study numerically magnetosheath ion motion in the
magnetopause current sheet in the presence of magnetic
fluctuations.  Test particles are injected at the
magnetosheath side only.  The magnetic field turbulence is
modelled as a power law spectrum in phase space, which
reaches maximum intensity in the center of the magnetopause
current sheet, and decreases towards the magnetosheath and
magnetosphere boundaries, creating magnetic islands.  The
number of particles entering the magnetosphere, reflected
from the magnetopause and flowing away from the flanks is
computed, as a function of the fluctuation level of the
turbulence and of the magnetic field and flow geometry
parameters.  All those quantities appear to be strongly
dependent on the fluctuation level, with the number of
particles entering the magnetopause increasing with the
fluctuation level.  We calculate particle density, bulk
velocity and temperature and other distribution function
moments.  Temperature and bulk velocity are increasing in
the direction normal to the magnetopause, while density is
decreasing, in a qualitative accordance with the
observations.