A two-fluid model with a tensor closure model approach for free surface flow simulations

Rezende, Ricardo Vicente de Paula; Almeida, Regiani Aparecida de; Souza, Sabrina da Silva de

doi:10.1016/j.ces.2014.07.064

Cited by 14 publications

(7 citation statements)

References 29 publications

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“…The problem was modeled numerically with the commercial package ANSYS-FLUENT v. 16.2 using a combination of the two-fluid and volume-of-fluid methods (to track the position of the two-phase interface) and a new model for the interfacial momentum transfer term [32]. A comparison between spatio-temporal displacement maps constructed using the image processing data and the numerical simulation results revealed an encouraging agreement for the phase distribution (liquid height), dominating frequency and average velocity of the flow structures in the flow developing region (relative errors of 6.8% and -7.4% for Cases #1 and #2).…”

Section: Discussionmentioning

confidence: 99%

“…Turbulence was solved using the k-x SST model with the Egorov [30] interfacial damping parameter assumed equal to 100 and 10 for Cases #1 (slug flow) and #2 (plug flow), respectively [31]. The interfacial momentum transfer model of Rezende et al [32] was implemented via the UDF (user defined function) feature. The momentum and mass conservation equations were discretized via a third-order MUSCL scheme.…”

Section: Mathematical Modelingmentioning

confidence: 99%

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Intermittent flow initiation in a horizontal tube: quantitative visualization and CFD analysis

Costa

Oliveira

Barbosa

2018

J Braz. Soc. Mech. Sci. Eng.

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The onset of slugging in stratified gas-liquid flow in a 26.4-mm ID horizontal pipe was investigated experimentally using a high-speed digital video processing technique. Spatio-temporal displacement maps were produced to show the evolution of two-phase flow structures (waves, slug precursors and liquid slugs) in the flow entrance region of the air-water mixture flow. The two-phase distribution derived from the visualization technique was in good agreement with measurements performed using non-intrusive capacitance sensors. Numerical results from a hybrid CFD approach that combined the twofluid model and volume-of-fluid method to track the position of the large-scale interface in time and space also agreed well with the quantitative flow visualization data for phase distribution, slug length and slug frequency. The relative errors between the flow structure velocities calculated by cross-correlating the numerical and experimental (image analysis) phase distribution signals were 6.8 and-7.4% for the slug and plug flow cases, respectively. Keywords Intermittent flow Á Slug initiation Á Image analysis Á Liquid holdup Á CFD analysis List of symbols F Frequency (Hz) g Acceleration of gravity (m s À2) j Superficial velocity (m s À1

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Section: Discussionmentioning

confidence: 99%

Section: Mathematical Modelingmentioning

confidence: 99%

Intermittent flow initiation in a horizontal tube: quantitative visualization and CFD analysis

Costa

Oliveira

Barbosa

2018

J Braz. Soc. Mech. Sci. Eng.

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“…Special attention was paid to stratified flows and large interfaces with modeling of interface features below grid scale. This has been realized with VOF‐like methods without reconstruction in two‐fluid formulation 19‐24 . Contrary to that, a VOF‐like approach without interface reconstruction was combined with Euler‐Euler modeling for dispersed flows strictly limited to two fields, representing both physical phases, for example, a gas and a liquid phase 25‐30 .…”

Section: Introductionmentioning

confidence: 99%

Basic verification of a numerical framework applied to a morphology adaptive multifield two‐fluid model considering bubble motions

Meller

Schlegel

Lucas

2020

Numerical Methods in Fluids

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Summary A morphology adaptive modeling framework is derived that is able to handle computationally efficiently dispersed as well as resolved interfacial structures coexisting in the computational domain with the same set of equations. The Eulerian multifield two‐fluid model is combined with the compact momentum interpolation method for multiple phases, which has been proposed in the literature as an extension to the Rhie‐Chow pressure‐velocity coupling. Additionally to the interfacial drag force, the virtual mass force is consistently accounted for in the model. Utilizing a specialized interfacial drag formulation, large interfacial structures can be described with the presented method in a volume‐of‐fluid‐like manner, additionally to the disperse description. The strong phase coupling due to the drag closure model in interfacial regions is resolved with a partial elimination algorithm, which is adapted to work in an approximate manner for more than two phases via a sum formulation. The presented model is implemented in the C++ library OpenFOAM and solver performance is compared with results obtained with the homogeneous model approach in two cases of a single rising gas bubble for two‐ and three‐dimensional space, respectively. Additionally, for both three‐dimensional cases, the results are compared with experimental data. Finally, the presented method's capability of representing dispersed and resolved interfacial structures at the same time is demonstrated with two test cases: a two‐dimensional gas bubble, rising in a liquid, which is laden with micro gas bubbles, and a two‐dimensional stagnant stratification of water and oil, sharing a large‐scale interface, which is penetrated by micro gas bubbles.

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“…The VOF model has been used in the literature to simulate several complex problems in engineering, such as: the transient behavior of lubricant inside hermetic compressors (Lückmann et al, 2009;andAlves et al 2011 &; two phase flows in tubes and ducts (Soleymani et al, 2008;Da Riva and Del Col, 2009;Kashid et al, 2010;Hernandez-Perez et al, 2011;Horgue et al, 2012;Magnini et al, 2013;Ratkovich et al, 2013;Karami et al, 2014;Saad et al, 2014;Bortolin et al, 2014); modeling of the Rayleigh-Taylor Instabilities (Bilger et al 2017); simulation of the dam break problem (Minussi and Maciel, 2012;Caron et al, 2015). Although very useful, the VOF model has limitations specially regarding the momentum transfer through the interface (Rezende et al, 2014). Rezende et al (2014) developed a novel approach to close the interfacial modeling for two-phase flow modeling with the VOF method.…”

Section: Introductionmentioning

confidence: 99%

“…Although very useful, the VOF model has limitations specially regarding the momentum transfer through the interface (Rezende et al, 2014). Rezende et al (2014) developed a novel approach to close the interfacial modeling for two-phase flow modeling with the VOF method.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Interface Description Methods Available in Commercial CFD Software

Barral¹,

Minussi²,

Alves³

2019

JAFM

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This study addresses the characteristics of the interpolation functions and interface reconstruction routines for the VOF-Volume of Fluid method available in the commercial CFD software ANSYS-FLUENT. This software was used because it has both implicit and explicit VOF approaches along with diverse interpolation functions. Some of these functions were compared from different viewpoints: the quality of the reconstructed interface; the ability to preserve the initial mass inside the system (numerical diffusion); and the computing time. To undertake the qualitative and quantitative comparisons, a test problem that combines the classical dam break and slosh tank benchmark problems was used. No analytical solution available was found for this problem, in which the most interesting feature is a high interaction between the velocity field and volume fraction, thus making it ideal for addressing the issue of interface smearing. ANSYS-FLUENT permits using 5 interpolation functions for transient simulations: PLIC, CICSAM, HRIC (explicit and implicit) and the UPWIND scheme, and four when performing steady state ones: BGM, modified HRIC, COMPRESSIVE and UPWIND schemes. Both transient and steady state solutions were analyzed in this study, using all the above schemes, except the UPWIND one for steady state simulations. It was found that, for thinner grids, PLIC, CISAM and the explicit HRIC schemes had similar performances concerning the quality of the reconstructed interface and mass conservation. On the other hand, PLIC shows the best results for coarser grids, being the only to conserve mass for all tests. The computation time was similar for all transient simulation (within each grid). Concerning the steady state simulations, which are, in fact, distorted transient simulations, the BGM and the COMPRESSIVE schemes produced similar results, but BGM consumed more computational time.

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A two-fluid model with a tensor closure model approach for free surface flow simulations

Cited by 14 publications

References 29 publications

Intermittent flow initiation in a horizontal tube: quantitative visualization and CFD analysis

Intermittent flow initiation in a horizontal tube: quantitative visualization and CFD analysis

Basic verification of a numerical framework applied to a morphology adaptive multifield two‐fluid model considering bubble motions

Comparison of Interface Description Methods Available in Commercial CFD Software

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