Particle Based Fluid Simulation for 3D Scene with Implicit Surfaces

The shape modeling technique based on the implicit surface representation is used for generating threedimensional surface models that interpolate given sets of scattered points. A number of techniques for generating interpolating surfaces have been proposed and significant progress has been made in the last decade [1]. In addition, the implicit surface representation is also useful for interactive modeling of simple shapes [2] and three-dimensional scenes can be constructed as a set of implicit surfaces. For appropriate visualization of the threedimensional scenes, some additional effects such as water flows need to be added depending on the situation. The promising method for generating water flow is the Smoothed Particle Hydrodynamics (SPH [3]): a particlebased fluid simulation method. In the standard SPH, the fluid is discretized into a set of particles and obstacles in the simulation field are assumed to be represented as sets of dense particles. Harada et al. proposed another approach for SPH simulation that enables simulation in polygonbased scenes [4]. In this approach, the particle force acted by polygon obstacles is incorporated in addition to the forces acted by the surrounding particles. In this paper, we present a method of fluid simulation in three-dimensional scene with obstacles represented as implicit surfaces. In this method, the particle motion is formulated by adding the forces acted by the obstacles defined as implicit surfaces into the standard particle forces as in the SPH.