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.

摘要： 介绍了一种基于流体力学方程的多尺度流体模型，通过Helmholtz-Hodge算子将模型分解为对流、扩散、外力、投影等项分别进行求解，每一步都稳定，因而整个求解也就稳定。同时利用“涡流限制”的技术提高模拟的真实性。与传统方法相比，该方法能实时高效地模拟具有真实感的二维烟雾效果。