Smoothed particle hydrodynamics in complex shapes

Abstract

In this paper, we propose an improved computation model of wall boundary in Smoothed Particle Hydrodynamics, a particle method for fluid simulation. Generally, particle methods calculate a wall boundary by converting it to wall particles. The proposed method uses a distance function calculated from a polygon model as a wall boundary. As a result, fluid motion in complex shapes can be simulated easily. Since the method does not use wall particles, it is able to represent a wall boundary without increasing the particle resolution. When a boundary is represented by wall particles, we have to generate a large number of wall particles. The proportion of the number of wall particles in total number of particles is high. However the proposed method does not need wall particles, it can reduce the total number of particles. After the simulation, surface mesh is usually constructed to visualize a simulation result from particles. However, it is difficult to generate smooth surface from them. We also propose a visualization method which can construct smooth fluid surfaces contacting with a wall boundary.