  In this paper we present a two-dimensional numerical simulation of a
reconnection current layer in incompressible resistive magnetohydrodynamics
with uniform resistivity in the limit of very large Lundquist numbers. We use
realistic boundary conditions derived consistently from the outside magnetic
field, and we also take into account the effect of the backpressure from the
flow into the separatrix region. We find that within a few Alfven times the
system reaches a steady state consistent with the Sweet--Parker model, even if
the initial state is Petschek-like.
