Abstract: In this paper，a multiscale fluid model based on Navier-Stokes is proposed，and the operator splitting method is employed to split the model into advection term，diffusion term，external force term and projection term.Every step is stable，so the whole process is also stable.And at the same time，“vorticity confinement” is used to enhance the real-time simulation.Compared with the traditional technique，this method can be taken for realistic animation and real-time simulation for smoke in two-dimentional space.