  The dynamics of moving vortex lattice is considered in the framework of the
time dependent Ginzburg - Landau equation neglecting effects of pinning. At
high flux velocities the pinning dominated dynamics is expected to cross over
into the interactions dominated dynamics for very clean materials recently
studied experimentally. The stationary lattice structure and orientation depend
on the flux flow velocity. The vortex lattice will have a different orientation
for V>V_c. The two orientations can be desribed as motion "in channels" and
motion of "lines of vortices perpendicular to the direction of motion. Although
we start from the lowest Landau level approximation, corrections to
conductivity and the vortex lattice energy dissipation from higher Landau
levels are systematically calculated and compared to a recent experiment.
