Simulation of atmospheric binary mixtures based on two-fluid model

Liu, Shiguang; Wang, Zhangye; Gong, Zheng; Peng, Qunsheng

doi:10.1016/j.gmod.2008.04.002

Cited by 10 publications

(7 citation statements)

References 14 publications

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“…Similar multi-species interaction ideas have been used for bubbles in incompressible flow [Mihalef et al 2009;Song et al 2005;Thürey et al 2007]. Liu et al [2008] use two continua to simulate mixtures of air and dust. Multi-species approaches have been used for miscible and immiscible fluids [Bao et al 2010;He et al 2015;Kang et al 2010;Ren et al 2014;Yang et al 2015].…”

Section: Previous Workmentioning

confidence: 99%

Multi-species simulation of porous sand and water mixtures

et al. 2017

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Fig. 1. Dam breach. Water pours in from a reservoir and slowly erodes a dam. As water seeps into the sand, its cohesivity decreases. When it eventually breaks, the landslide creates interesting dynamics in the debris flow. We present a multi-species model for the simulation of gravity driven landslides and debris flows with porous sand and water interactions. We use continuum mixture theory to describe individual phases where each species individually obeys conservation of mass and momentum and they are coupled through a momentum exchange term. Water is modeled as a weakly compressible fluid and sand is modeled with an elastoplastic law whose cohesion varies with water saturation. We use a two-grid Material Point Method to discretize the governing equations. The momentum exchange term in the mixture theory is relatively stiff and we use semi-implicit time stepping to avoid associated small time steps. Our semi-implicit treatment is explicit in plasticity and preserves symmetry of force linearizations. We develop a novel regularization of the elastic part of the sand constitutive model that better mimics plasticity during the implicit solve to prevent numerical cohesion artifacts that would otherwise have occurred. Lastly, we develop

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Section: Previous Workmentioning

confidence: 99%

Multi-species simulation of porous sand and water mixtures

et al. 2017

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“…[MDCN03] argues that cloud can not be treated as fluid and then employs a two‐fluid model to simulate volcanic clouds. [LWGP08] simulates the atmospheric binary mixture such as tornado by employing a two‐fluid model, in which air flow and dust are simulated separately and their interaction is achieved by introducing an extra interaction force. Most recently, [NØ13] employs a two‐continua approach to get more physically plausible results by evolving velocity fields both for spray and the surrounding air.…”

Section: Background and Related Workmentioning

confidence: 99%

“…[LWGP08] simulates the atmospheric binary mixture such as tornado by employing a two-fluid model, in which air flow and dust are simulated separately and their interaction is achieved by introducing an extra interaction force. Most recently, [NØ13] employs a two-continua ap-…”

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confidence: 99%

Hybrid Particle‐grid Modeling for Multi‐scale Droplet/Spray Simulation

Yang

Hao

et al. 2014

Computer Graphics Forum

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This paper presents a novel hybrid particle‐grid method that tightly couples Lagrangian particle approach with Eulerian grid approach to simulate multi‐scale diffuse materials varying from disperse droplets to dissipating spray and their natural mixture and transition, originated from a violent (high‐speed) liquid stream. Despite the fact that Lagrangian particles are widely employed for representing individual droplets and Eulerian grid‐based method is ideal for volumetric spray modeling, using either one alone has encountered tremendous difficulties when effectively simulating droplet/spray mixture phenomena with high fidelity. To ameliorate, we propose a new hybrid model to tackle such challenges with many novel technical elements. At the geometric level, we employ the particle and density field to represent droplet and spray respectively, modeling their creation from liquid as well as their seamless transition. At the physical level, we introduce a drag force model to couple droplets and spray, and specifically, we employ Eulerian method to model the interaction among droplets and marry it with the widely‐used Lagrangian model. Moreover, we implement our entire hybrid model on CUDA to guarantee the interactive performance for high‐effective physics‐based graphics applications. The comprehensive experiments have shown that our hybrid approach takes advantages of both particle and grid methods, with convincing graphics effects for disperse droplets and spray simulation.

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“…Mizuno et al [2003] simulate two-fluid volcanic cloud mixtures using a similar single-phase gas solver augmented with a buoyancy force. Liu et al [2008] recognize the need for a true two-fluid model for simulating tornados as a mixture of air and dust. However, separate mutually independent pressure solvers are applied to each of the phases which are coupled only through a drag force.…”

Section: Related Workmentioning

confidence: 99%

A two-continua approach to Eulerian simulation of water spray

Nielsen

Østerby

2013

ACM Trans. Graph.

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Physics based simulation of the dynamics of water spray -water droplets dispersed in air -is a means to increase the visual plausibility of computer graphics modeled phenomena such as waterfalls, water jets and stormy seas. Spray phenomena are frequently encountered by the visual effects industry and often challenge state of the art methods. Current spray simulation pipelines typically employ a combination of Lagrangian (particle) and Eulerian (volumetric) methods -the Eulerian methods being used for parts of the spray where individual droplets are not apparent. However, existing Eulerian methods in computer graphics are based on gas solvers that will for example exhibit hydrostatic equilibrium in certain scenarios where the air is expected to rise and the water droplets fall. To overcome this problem, we propose to simulate spray in the Eulerian domain as a two-way coupled two-continua of air and water phases co-existing at each point in space. The fundamental equations originate in applied physics and we present a number of contributions that make Eulerian two-continua spray simulation feasible for computer graphics applications. The contributions include a Poisson equation that fits into the operator splitting methodology as well as (semi-)implicit discretizations of droplet diffusion and the drag force with improved stability properties. As shown by several examples, our approach allows us to more faithfully capture the dynamics of spray than previous Eulerian methods.

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Simulation of atmospheric binary mixtures based on two-fluid model

Cited by 10 publications

References 14 publications

Multi-species simulation of porous sand and water mixtures

Multi-species simulation of porous sand and water mixtures

Hybrid Particle‐grid Modeling for Multi‐scale Droplet/Spray Simulation

A two-continua approach to Eulerian simulation of water spray

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