A grid-particle domain decomposition method is proposed to simulate tw
o-dimensional, slightly viscous external flow. In this method the wall
-vorticity generation, together with the subsequent diffusion and conv
ection in the near wake, is simulated in a deterministic way by an eff
icient finite-difference scheme. Beyond the near wake, the flow is sim
ulated by an inviscid vortex method in which the velocity calculation
for moving vortex particles is speeded up by a fast, adaptive multipol
e scheme. A proper treatment of the grid-particle interface is also pr
esented. Some results are given to demonstrate both the early stage an
d the long-term simulations of flow past a circular cylinder, at a mod
erately high Reynolds number.