A corrected smoothed particle hydrodynamics(SPH) method is proposed,in which standard SPH method is corrected with a density re-initialization method.A treatment for solid wall boundaries is presented to improve numerical accuracy.Drop stretching and dam-breaking are simulated numerically to show validity and reliability of the method.Filling process in a channel is investigated,and effect of Reynolds number on flow field and vortex are analyzed.It shows that the corrected SPH method can simulate filling process in a channel precisely and the flow is affected significantly by Reynolds number.