Curvature computation in volume-of-fluid method based on point-cloud sampling

Kassar, Bruno de Barros Mendes; Carneiro, J. N. E.; Nieckele, Angela O.

doi:10.1016/j.cpc.2017.10.003

Cited by 15 publications

(15 citation statements)

References 39 publications

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“…Most of the computational methods used to model single bubble rises and related phenomena are fixed grid Eulerian methods . These finite volume method approaches are usually categorized by the routine used to establish interfaces in the multiphase system.…”

Section: Introductionmentioning

confidence: 99%

“…This is how the boundaries between phases are defined. The most popular interface‐capturing technique in recent literature is the VOF method . In this method, two phases are defined using a volume fraction scalar that ranges from zero to one, where a value of one indicates one fluid and a value of zero indicates the other.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, the VOF interface‐capturing method is adopted. The VOF method has been used extensively to model various multiphase transport phenomena including a rising bubble . Klostermann et al showed results for a single bubble rising in a viscous liquid with surface compression applied at the bubble's interface.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Simulating bubble dynamics in a buoyant system

Arai

Villafranco

Grace

et al. 2019

Numerical Methods in Fluids

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Multiphase flows are critical components of many physical systems; however, numerical models of multiphase flows with large parameter gradients can be challenging. Here, two different numerical methods, volume of fluid (VOF) and smoothed particle hydrodynamics (SPH), are used to model the buoyant rise of isolated gas bubbles through quiescent fluids for a range of Bond and Reynolds numbers. The VOF is an Eulerian grid-based method, whereas the SPH is Lagrangian and mesh free. Each method has unique strengths and weaknesses, and a comparison of the two approaches as applied to multiphase phenomena has not previously been performed. The VOF and SPH simulations are compared, verified, and validated. Results using two-dimensional VOF and SPH simulations are similar to each other and are able to reproduce numerical benchmarks and experimental results for sufficiently large Morton and Reynolds numbers. It is also shown that at low Reynolds numbers, the two methods, SPH and VOF, diverge in the transient regime of the bubble rise. Regimes that require simulations capable of representing three-dimensional drag are identified as well as regimes in which results from VOF and SPH diverge. KEYWORDS bubble dynamics, buoyant systems, multiphase flows, rising bubble dynamics, smoothed particle hydrodynamics (SPH), volume of fluid (VOF) Re = vL ,

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Simulating bubble dynamics in a buoyant system

Arai

Villafranco

Grace

et al. 2019

Numerical Methods in Fluids

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“…where is the number of points in the sub-set, ⃗⃗⃗ is the plane normal vector, is a point from the subset and 〈 〉 is the centroid of the sub-set. The minimization problem is described in more detail by Kassar et al (2018).…”

Section: Interfoam Solvermentioning

confidence: 99%

“…where 11 , 12 , 21 and 22 are the normal vector derivatives, and 1 and 2 are equal to 0 (0,0) and 0 (0,0). The curvature estimation can be obtained by solving an objective function with a constraint, further explained in Kassar et al (2018). The objective function can be simplified into two minimization problems, for the and components:…”

Section: Interfoam Solvermentioning

confidence: 99%

Evaluation of Interface Capturing Algorithms for the Prediction of Gas Bubble Ascension in Viscous Media

BRANCO¹

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Com o passar dos anos, o método Volume of Fluid original passou por diversas modificações de forma a melhorar suas capacidades de prever o comportamento de escoamentos multifásicos. O presente trabalho propõe o acoplamento de um método de cálculo de curvaturas baseado em nuvens de pontos (PC-VOF) com um método de advecção geométrico baseado no conceito de isosuperfícies (isoAdvector). Um método variante do isoAdvector, que resolve uma Reconstructed Distance Fucntion (isoRDF) também foi contemplado no presente trabalho, e um acoplamento do mesmo com o PC-VOF foi realizado. Os métodos foram implementados em OpenFOAM e seus desempenhos foram avaliados com casos de benchmark. Simulações de configurações com soluções analíticas foram realizadas como testes de validação. Subsequentemente, dois casos de benchmark 2D que envolvem a ascensão de bolhas de gás em meios viscosos foram testados. Um dos casos constitui um escoamento dominado por tensões superficiais e o outro é dominado por forças inerciais. Malhas de quadriláteros e triângulos foram utilizadas, e testes de convergência de malha foram realizados. Os métodos foram testados e comparados através do acompanhamento da variação temporal de diversas grandezas do escoamento. Os casos de benchmark destacaram a importância da precisão no cálculo de curvatura nos escoamentos dominados por tensões superficiais, uma vez que o PC-VOF original e os métodos acoplados obtiveram as soluções mais precisas para esta configuração. Os casos também demonstraram a importância de um método de advecção preciso, particularmente na configuração dominada por forças inerciais, em que o isoAdvector e isoRDF obtiveram boas soluções. Para a maioria dos casos contemplados, os métodos acoplados apresentaram as soluções mais precisas, e são recomendados como uma alternativa estável e precisa para os métodos que os compõem.

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Refined mathematical model for the breaching of concrete-face sand-gravel dams due to overtopping failure

Qiu

Wen

et al. 2023

J. Mt. Sci.

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Curvature computation in volume-of-fluid method based on point-cloud sampling

Cited by 15 publications

References 39 publications

Simulating bubble dynamics in a buoyant system

Simulating bubble dynamics in a buoyant system

Evaluation of Interface Capturing Algorithms for the Prediction of Gas Bubble Ascension in Viscous Media

Refined mathematical model for the breaching of concrete-face sand-gravel dams due to overtopping failure

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