Particle‐Based Simulation of Fluids

Abstract

Due to our familiarity with how fluids move and interact, as well as their complexity, plausible animation of fluidsremains a challenging problem. We present a particle interaction method for simulating fluids. The underlyingequations of fluid motion are discretized using moving particles and their interactions. The method allows simulationand modeling of mixing fluids with different physical properties, fluid interactions with stationary objects, andfluids that exhibit significant interface breakup and fragmentation. The gridless computational method is suitedfor medium scale problems since computational elements exist only where needed. The method fits well into thecurrent user interaction paradigm and allows easy user control over the desired fluid motion.

Navier-Stokes formulation for modelling turbulent optical flow

“…In engineering, they are used in the analysis of the effects of pollution, the design of aircraft and of power stations, etc. Navier-Stokes methodology has been applied in Computer Graphics in order to visualise and create the effects given by the complex movement of fluids such as that of coloured gases, air, clouds, liquids, smoke, fire, etc., [11,13]. The explicit model is generally used for precise computation of fluid dynamics and involves heavy computational complexity [9].…”

“…Navier-Stokes equations have been used in computer graphics for visualising flames and building animation tools based on fluid-like motion [11,13,14]. The stable fluid solver (SFS) algorithm implements Navier-Stokes equations and consists of a set of consecutive processing steps [13], such as: advection, diffusion and mass conservation.…”

“…The boundary conditions are important in constraining the fluid motion [9]. The boundaries have been processed as a set of constraints on a grid [14], by enforcing repetition and employing the Fast Fourier Transform (FFT) [13] or by using level sets [11]. In this study, we extend the SFS solver methodology and apply it for smoothing vector fields estimated from image sequences representing turbulent moving fluids.…”

Particle-based simulation and visualization of fluid flows through porous media

“…Müller et al (2004) utilize SPH version of Navier-Stokes equations to model incompressible fluid and handle fluid-deformable body interactions. Premoze et al (2003) use particles to simulate incompressible fluids where they ensure incompressibility by using the moving particle semi-implicit method. Hadap and Magnenat-Thalmann (2001) couple SPH and strand dynamics to simulate hair-hair, and hairair interactions.…”

Low-Memory and Interactive-Rate Animation of Water-Column Based Flows

“…Premože et al [25] used the Moving-Particle SemiImplicit (MPS) method to simulate fluids with a level set method to reconstruct the surface. They ran a low-resolution simulation for instant feedback, and then increased the number of particles for the final simulation.…”