A fully three-dimensional, time-dependent MHD model of the solar coron
a and the solar wind is developed. The proposed model is an upgrading
of the steady-state model (Usmanov, 1993a,b). A numerical self-consist
ent solution for 3-D MHD equations is constructed for the region betwe
en the solar photosphere and 1.5 AU. The unique features of the propos
ed model are: (i) uniform coverage and self-consistent treatment of th
e regions of subsonic/sub-Alfvenic and supersonic/super-Alfvenic flows
, (ii) as a background for transients, a steady-state solution for the
ambient solar wind is used. The parameters of the initial pulses are
prescribed in terms of the near-Sun shock velocities (as inferred from
the metric Type II radio burst observations) relative to the preshock
steady-state flow parameters.