Recently, displaying natural phenomena such as smoke has become a topic of interest in computer graphics. The ability to simulate the complex shapes and motion of the smoke particles is not only important but is also a difficult problem to solve. In this paper, we propose a method of displaying swirling smoke, including the consideration of its passage round obstacles. By using the idea of metaballs, we can easily represent the 3-dimensional density distribution of smoke. We solve the physical equation of the flow, and represent the vortices by using the vorticity vector. Therefore, we can make a model of the smoke flow even if there are obstacles in its path.