Accelerated Viscous Fluid Simulation Using Position-Based Constraints

Abstract

The most prevalent approach to simulating viscous fluids is based on the Navier-Stokes equations, and has extensively been adopted in computer graphics for the past two decades. When employing an explicit viscosity integration, however, time step size for numerically stable simulation is likely to be limited and necessitate an exceedingly long period of time for computation. In this paper, we present a novel particlebased method for efficiently simulating viscous fluids using position-based constraints. Our method utilizes the geometric configuration of particles for the positional constraints in the position-based dynamics, and thus can generate visuallyplausible behavior of viscous fluids, while allowing for the use of much larger time steps than the ones previously adopted in the viscous fluid simulations. An associated boundary handling scheme for the position-based fluids is also proposed to properly address constraints for density and viscosity distributions on boundaries. In addition, by adjusting parameters of particles, our method can produce complicated dynamics of threads, sheets, and volumes of different viscosity values in a unified framework. Several examples demonstrate the efficiency as well as robustness and versatility of our approach.

Position‐based fluid simulation for robotic injection sealing of pavement cracks

“…The standard PBF algorithm neglects viscous interactions with the boundaries. Takahashi and Fujishiro provide an algorithm including wall drag (Takahashi & Fujishiro, 2013). The algorithm used here defines the walls by a set of stationary particles (fixed in space) and makes the additional assumption that the number density of wall particles is constant in the incompressibility update and viscosity update of fluid particles.…”

“…The standard PBF algorithm neglects viscous interactions with the boundaries. Takahashi and Fujishiro provide an algorithm including wall drag (Takahashi & Fujishiro, 2013). The algorithm used here defines the walls by a set of stationary particles (fixed in space)…”