Multiple-Fluid SPH Simulation Using a Mixture Model

Ren, Bo; Li, Chenfeng; Yan, Xiao; Lin, Ming C.; Bonet, Javier; Hu, Shi‐Min

doi:10.1145/2645703

Cited by 89 publications

(115 citation statements)

References 48 publications

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“…Simulations of multiple phases have, e.g., been investigated for level-set surfaces [Losasso et al 2006], as well as volume fractions [Kang et al 2010] and mesh-based surface tracking [Da et al 2014]. There are also many papers from the field of particle-based simulations that target multiple phases [Müller et al 2005;Ren et al 2014]. Boyd and Bridson [2012] introduced a FLIP simulation model that employs two distinct velocity fields for the liquid and gas phases.…”

Section: Related Workmentioning

confidence: 99%

A stream function solver for liquid simulations

2015

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This paper presents a liquid simulation technique that enforces the incompressibility condition using a stream function solve instead of a pressure projection. Previous methods have used stream function techniques for the simulation of detailed single-phase flows, but a formulation for liquid simulation has proved elusive in part due to the free surface boundary conditions. In this paper, we introduce a stream function approach to liquid simulations with novel boundary conditions for free surfaces, solid obstacles, and solidfluid coupling.Although our approach increases the dimension of the linear system necessary to enforce incompressibility, it provides interesting and surprising benefits. First, the resulting flow is guaranteed to be divergence-free regardless of the accuracy of the solve. Second, our free-surface boundary conditions guarantee divergence-free motion even in the un-simulated air phase, which enables two-phase flow simulation by only computing a single phase. We implemented this method using a variant of FLIP simulation which only samples particles within a narrow band of the liquid surface, and we illustrate the effectiveness of our method for detailed two-phase flow simulations with complex boundaries, detailed bubble interactions, and two-way solid-fluid coupling.

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Section: Related Workmentioning

confidence: 99%

A stream function solver for liquid simulations

2015

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“…In Lagrangian approaches, this is typically done by averaging the viscosity constants, e.g., [Müller et al 2005b;Solenthaler et al 2007;Ren et al 2014]. For Eulerian methods, [Hong and Kim 2005] proposed to extrapolate ghost velocities across the interface to counteract distortions in the velocity gradient caused by variable viscosities.…”

Section: Viscosity In Multiphase Fluidsmentioning

confidence: 99%

An implicit viscosity formulation for SPH fluids

et al. 2015

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Figure 1: Interaction of a highly viscous fluid with complex moving solids. Up to 780k particles are used. The computation time is 30s per frame. AbstractWe present a novel implicit formulation for highly viscous fluids simulated with Smoothed Particle Hydrodynamics SPH. Compared to explicit methods, our formulation is significantly more efficient and handles a larger range of viscosities. Differing from existing implicit formulations, our approach reconstructs the velocity field from a target velocity gradient. This gradient encodes a desired shear-rate damping and preserves the velocity divergence that is introduced by the SPH pressure solver to counteract density deviations. The target gradient ensures that pressure and viscosity computation do not interfere. Therefore, only one pressure projection step is required, which is in contrast to state-of-the-art implicit Eulerian formulations. While our model differs from true viscosity in that vorticity diffusion is not encoded in the target gradient, it nevertheless captures many of the qualitative behaviors of viscous liquids. Our formulation can easily be incorporated into complex scenarios with one-and two-way coupled solids and multiple fluid phases with different densities and viscosities.

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“…Particles residing close to the interfaces between phases are treated as ghost particles for any particles from neighbouring phases . In their research, refinement of the mixture model also improves multi-phase simulation where the reliance on tracking interfaces between the phases is replaced by representing the phases with their volume fractions (Ren et al, 2014). Each phase has its own set of particles that carry the mixture mass, velocity, and any physical qualities of the phase to discretise the multiphase system.…”

Section: Multiphase Flowsmentioning

confidence: 99%

Fluid Simulation by the Smoothed Particle Hydrodynamics Method: A Survey

Weaver¹,

Xiao²

2016

Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications

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Abstract:This paper presents a survey of Smoothed Particle Hydrodynamics (SPH) and its use in computational fluid dynamics. As a truly mesh-free particle method based upon the Lagrangian formulation, SPH has been applied to a variety of different areas in science, computer graphics and engineering. It has been established as a popular technique for fluid based simulations, and has been extended to successfully simulate various phenomena such as multi-phase flows, rigid and elastic solids, and fluid features such as air bubbles and foam. Various aspects of the method will be discussed: Similarities, advantages and disadvantages in comparison to Eulerian methods; Fundamentals of the SPH method; The use of SPH in fluid simulation; The current trends in SPH. The paper ends with some concluding remarks about the use of SPH in fluid simulations, including some of the more apparent problems, and a discussion on prospects for future work.

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Multiple-Fluid SPH Simulation Using a Mixture Model

Cited by 89 publications

References 48 publications

A stream function solver for liquid simulations

A stream function solver for liquid simulations

An implicit viscosity formulation for SPH fluids

Fluid Simulation by the Smoothed Particle Hydrodynamics Method: A Survey

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