Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces

Smolianski, Anton

doi:10.1002/fld.823

Cited by 54 publications

(58 citation statements)

References 92 publications

(178 reference statements)

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“…In [39] it has been verified that the capillary number Ca = νρ 1 U/σ corresponding to the velocity U of the spurious currents is constant with respect to the nondimensional Laplace number La = rσρ/µ 2 . This could also be confirmed in our simulations.…”

Section: Young-laplace Experiments For a Bubblementioning

confidence: 97%

“…In general, c ϕ ≪ h, and the error introduced by the correction is of the same order as the interpolation error (see also [39]). …”

Section: Numerical Schemementioning

confidence: 99%

“…The method of Chen and Shan suffers, among other things, from mass losses. Mass loss is also an issue in the level set method, but various strategies have been presented in the literature to address this numerical artifact [26,43,39].…”

Section: Introductionmentioning

confidence: 99%

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A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method

Thömmes

Becker

Junk

et al. 2009

Journal of Computational Physics

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We consider the lattice Boltzmann method for immiscible multiphase flow simulations. Classical lattice Boltzmann methods for this problem, e.g. the colour gradient method or the free energy approach, can only be applied when density and viscosity ratios are small. Moreover, they use additional fields defined on the whole domain to describe the different phases and model phase separation by special interactions at each node. In contrast, our approach simulates the flow using a single field and separates the fluid phases by a free moving interface. The scheme is based on the lattice Boltzmann method and uses the level set method to compute the evolution of the interface. To couple the fluid phases, we develop new boundary conditions which realise the macroscopic jump conditions at the interface and incorporate surface tension in the lattice Boltzmann framework. Various simulations are presented to validate the numerical scheme, e.g. two-phase channel flows, the Young-Laplace law for a bubble and viscous fingering in a Hele-Shaw cell. The results show that the method is feasible over a wide range of density and viscosity differences.

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Section: Young-laplace Experiments For a Bubblementioning

confidence: 97%

“…In general, c ϕ ≪ h, and the error introduced by the correction is of the same order as the interpolation error (see also [39]). …”

Section: Numerical Schemementioning

confidence: 99%

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A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method

Thömmes

Becker

Junk

et al. 2009

Journal of Computational Physics

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“…Here we set up the problem in an identical manner to the Rayleigh-Taylor instability from Smolianski [2005]. The initial conditions, boundary conditions, and material properties are show in Figure 15.…”

Section: Rayleigh-taylor Instabilitymentioning

confidence: 99%

Multiscale models of nuclear waste reprocessing : from the mesoscale to the plant-scale.

Rao¹,

Brotherton²,

Domino³

et al. 2012

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Nuclear waste reprocessing and nonproliferation models are needed to support the renaissance in nuclear energy. This report summarizes an LDRD project to develop predictive capabilities to aid the next-generation nuclear fuel reprocessing, in SIERRA Mechanics, Sandia's high performance computing multiphysics code suite and Cantera, an open source software product for thermodynamics and kinetic modeling.Much of the focus of the project has been to develop a moving conformal decomposition finite element method (CDFEM) method applicable to mass transport at the water/oil droplet interface that occurs in the turbulent emulsion of droplets within the contactor. Contactor-scale models were developed using SIERRA Mechanics turbulence modeling capability. Unit operations occur at the column-scale where many contactors are connected in series. Population balance models 4 were developed to investigate placements and coupling of contactors at this scale. Thermodynamics models of the separation were developed in Cantera to allow for the prediction of distribution coefficients for various concentrations of surfactant and acid. Droplet-scale modeling was conducted in a microfluidic device and for verification of the algorithm. Extensive validation and discovery experiments were performed at the droplet and contactor-scales for both fluid dynamics and mass transport. 5 AcknowledgmentsThe authors would like to thank our mission specialist Veena Tikare for helping us develop the project, our reprocessing material balance expert Ben Cipiti for explaining the details of the reprocessing plant., Roger Pawlowski and Rich Schiek helped with the idea of a scalable network model, but were unable to continue with the project, though were very helpful in the first year of the work. We believe this type of work should be continued at Sandia. Paul Galambos and John Pflug supported our microfluidic experiments. Reviewers Randy Schunk and Lisa Mondy provided helpful feedback. Randy Schunk also helped with our droplet-scale modeling in a moving reference frame. The Aria Product Owners past and present, Amalia Black, Sheldon Tieszen, and Kim Mish, have been invaluable for keeping the project going despite the many other directions of Sierra Mechanics. We would like to thank the "Enabling Predictive Simulations" investment area of the LDRD program for funding this work. We would like to express our gratitude to the LDRD office for the extension given for receiving the final report due to the illness of the PI.6

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“…To alleviate this problem, so as to achieve physically realistic simulations, we used a variant of the level set correction proposed in [15]. When the exact volumes of the phases are known, this method consists in updating after each time step the level set function with the correction…”

Section: Treatment Of the Free Surface Problemmentioning

confidence: 99%

Numerical simulation of orbitally shaken viscous fluids with free surface

Discacciati

Hacker

Quarteroni

et al. 2012

Numerical Methods in Fluids

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SUMMARYOrbitally shaken bioreactors are an emerging alternative to stirred-tank bioreactors for large-scale mammalian cell culture, but their fluid dynamics is still not well defined. Among the theoretical and practical issues that remain to be resolved, the characterization of the liquid free surface during orbital shaking remains a major challenge because it is an essential aspect of gas transfer and mixing in these reactors. To simulate the fluid behavior and the free surface shape, we developed a numerical method based on the finite element framework. We found that the large density ratio between the liquid and the gas phases induced unphysical results for the free surface shape. We therefore devised a new pressure correction scheme to deal with large density ratios.The simulations operated with this new scheme gave values of wave amplitude similar to the ones measured experimentally. These simulations were used to calculate the shear stress and to study the mixing principle in orbitally shaken bioreactors.

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Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces

Cited by 54 publications

References 92 publications

A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method

A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method

Multiscale models of nuclear waste reprocessing : from the mesoscale to the plant-scale.

Numerical simulation of orbitally shaken viscous fluids with free surface

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