Impulse‐based rigid body interaction in SPH

Abstract

A new boundary force is proposed to solve rigid body interaction in SPH (Smoothed Particle Hydrodynamics). The new boundary force is impulse-based rather than potential-based. The impulse is converted to a boundary force with a fundamental observation that the impulse is a momentum change which is a result of a force acting on an object during a time interval. Our new impulse-based boundary force gives more stable and accurate results in all kinds of rigid body interactions, especially in rigid-rigid interaction since our boundary force faithfully reflects the dynamic features of rigid body. With our impulse-based boundary force, SPH fluid solver is capable of full two way interaction of fluid and rigid body and it turns to be a particle-based rigid body solver if only rigid bodies are simulated without fluid.

High viscosity fluid simulation using particle-based method

“…As a pioneer of SPH method in CG field, Müller et al [28] popularized this technique, simulating free surface flow at an interactive rate. After that, the method has been applied to handle many other phenomena: fluid-fluid interaction [31], the interaction of fluids with deformable solids [30], viscoelastic fluid simulation [7,8,14,29], rigid-rigid interaction [32] or the deformation of solids even with coplanar or collinear shape [4]. Unified particle model were also proposed by [19,35] to animate fluid-solid interactions.…”

A particle-based method for granular flow simulation

“…They popularized this technique and simulated free surface flow at an interactive frame rate. Since then, the method has been applied widely to handle many other different phenomena: fluid-fluid interaction [3], the interaction of fluids with deformable solids [4], viscoelastic fluid simulation [5][6][7][8], gaseous fluids simulation [9], rigid-rigid interaction [10] and the deformation of solids even with coplanar or collinear shape [11]. Unified particle models were also proposed by [12,13] to animate fluid-solid interactions.…”

Boundary handling and porous flow for fluid–hair interactions

“…In those models, however, viscosity is neglected. Oh et al [17] proposed an impulse-based approach to solve rigid body interaction in SPH. However, this approach relies on normal information of rigid bodies and does not guarantee nonpenetration for thin boundaries.…”