An improved scheme for the interface reconstruction and curvature approximation for flow simulations of two immiscible fluids

Elsayed, Omar; Kirsch, Ralf; Osterroth, Sebastian; Antonyuk, Sergiy

doi:10.1016/j.ijmultiphaseflow.2021.103805

Cited by 6 publications

(4 citation statements)

References 67 publications

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“…In the particular case of water-diesel separation, the process is capillary-dominated. An accurate computation of the curvature field leads to a significant reduction of the order of magnitude of spurious currents, as was demonstrated in [47].…”

Section: Introductionmentioning

confidence: 79%

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Pore-Scale Simulation of the Interaction between a Single Water Droplet and a Hydrophobic Wire Mesh Screen in Diesel

Elsayed

Kirsch

Krull

et al. 2021

Fluids

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Recently, the trend towards sustainable energy production and pollution control has motivated the increased consumption of ultra-low-sulfur diesel (ULSD) or bio-fuels. Such fuels have relatively low surface tension with water and therefore, the separation of water from fuel has become a challenging problem. The separation process relies on using porous structures for the collection and removal of water droplets. Hence, understanding the interaction between water droplets and the separators is vital. The simplest geometry of a separator is the wire mesh screen, which is used in many modern water–diesel separators. Thus, it is considered here for systematic study. In this work, pore-scale computational fluid dynamics (CFD) simulations were performed using OpenFOAM® (an open-source C++ toolbox for fluid dynamics simulations) coupled with a new accurate scheme for the computation of the surface tension force. First, two validation test cases were performed and compared to experimental observations in corresponding bubble-point tests. Second, in order to describe the interaction between water droplets and wire mesh screens, the simulations were performed with different parameters: mean diesel velocity, open area ratio, fiber radii, Young–Laplace contact angle, and the droplet radius. New correlations were obtained which describe the average reduction of open surface area (clogging), the pressure drop, and retention criteria.

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Section: Introductionmentioning

confidence: 79%

“…So-called spurious currents can still occur. In order to improve this, a novel method was proposed in [47], which showed an accurate computation of the mean curvature. The methods showed significant reduction of spurious currents by at least two orders of magnitude.…”

Section: Mathematical Modelmentioning

confidence: 99%

Pore-Scale Simulation of the Interaction between a Single Water Droplet and a Hydrophobic Wire Mesh Screen in Diesel

Elsayed

Kirsch

Krull

et al. 2021

Fluids

Self Cite

View full text Add to dashboard Cite

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“…Within the two-phase flow community, a common procedure for addressing this error is the use of a level set function, φ(x, t), which is much smoother than α and can subsequently provide more accurate curvature predictions. This combination of φ with α has been in existence for quite some time [12] and has also been adopted within OpenFOAM, for instance in the work of Ferrari et al [7], Bilger et al [9], Albadawi et al [13], Menon et al [14], Kassar et al [15], Elsayed et al [16], Vachaparambil and Einarsrud [17]. More explicitly in Ferrari et al [7], Albadawi et al [13], Menon et al [14], the level set is initially constructed from the α field, namely by an equation of the form φ o = (2α − 1)ζ, where ζ is related to the local grid spacing, ∆x.…”

Section: Introductionmentioning

confidence: 99%

“…In other work [9,17], the α field is smoothed out before calculating curvature. Other alternatives include the construction of a uniform voxel mesh followed by isosurface triangulation [16] or the representation of the interface by a cloud of points [15], both of which are used to generate more accurate predictions of κ.…”

Section: Introductionmentioning

confidence: 99%

Evaluation and Improvements to Interfacial Curvature Predictions in interFoam

Agarwal

Ananth

Trujillo

2022

Fluids

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Improvements to the interfacial curvature of interFoam based on (i) the smoothing of the liquid fraction field and (ii) the creation of a signed distance function (ϕ-based) are implemented. While previous work in this area has focused on evaluating spurious currents and similar configurations, the tests implemented in this work are more applicable to sprays and hydrodynamic breakup problems. For the ϕ-based method, a dual approach is developed based on a geometric reconstruction of the interface at interfacial cells and the solution of the Hamilton-Jacobi equation away from these cells. The more promising results are from this method, where the lack of convergence of Laplace pressure predictions existing in the standard version of interFoam is fixed, resulting in second-order convergence. Similar but less drastic improvements are observed for other exercises consisting of the oscillation of a droplet, a 2-phase Orr–Sommerfeld problem, the Rayleigh–Plateau instability, and the retraction of a liquid column. It is only when the dynamics are either entirely governed by surface tension or are heavily influenced by it that we see the need to substitute the standard interFoam curvature approach with a more accurate scheme. For more realistic problems, which naturally include more complicated dynamics, the difference between the standard approach and the ϕ-based approach is minimal.

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Evaluation on different volume of fluid methods in unstructured solver under the optimized condition

Yamamoto,

Komarov

2024

European Journal of Mechanics - B/Fluids

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An improved scheme for the interface reconstruction and curvature approximation for flow simulations of two immiscible fluids

Cited by 6 publications

References 67 publications

Pore-Scale Simulation of the Interaction between a Single Water Droplet and a Hydrophobic Wire Mesh Screen in Diesel

Pore-Scale Simulation of the Interaction between a Single Water Droplet and a Hydrophobic Wire Mesh Screen in Diesel

Evaluation and Improvements to Interfacial Curvature Predictions in interFoam

Evaluation on different volume of fluid methods in unstructured solver under the optimized condition

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