Abstract: We present a fluid dynamic system, which allows to moving objects and real-time simulations of large scale three dimensional smokes. Our system includes a GPU accelerated Eulerian fluid solver which is well suited for real-time application since it is unconditionally stable, takes constant calculation time per frame, and with high computing precision. We introduce a specialized geometry multigrid algorithm for solving the Poisson equation. To further accelerate the simulation, we design data structures and algorithms to exploit the computing power of modern GPUs. Our method can also handle moving solid objects as well as cells that are partially filled with solids. Moreover, we implement a GPU-accelerated volume rendering system that treats the particles as participating media and can render effects such as smoke, dust, or mist. This combination of related algorithms leads to real-time simulation system. We show the effectiveness of the proposed methods in several scenarios, all running at interactive rates on a modern GPU.