A Volume-of-Fluid-based numerical method for multi-component mass transfer with local volume changes

Fleckenstein, Stefan; Bothe, Dieter

doi:10.1016/j.jcp.2015.08.011

Cited by 44 publications

(40 citation statements)

References 32 publications

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“…Here, we present only the final conservation laws. A detailed derivation can be found in Fleckenstein and Bothe (2015). The continuity equation reads…”

Section: Algebraic Vof Method: From Continuous To Discrete Domainmentioning

confidence: 99%

“…Within the single-field approach, the inclusion of sub-grid scale models is complex and requires further research. Another benefit of the two-field approach is that the concentration gradients are readily available, which allows for calculating local mass transfer across the interface in a straightforward manner, and enabled Fleckenstein and Bothe (2015) to extend the model to include local volume changes for non-dilute mass transfer. However, since the two-field approach is only consistent with geometric VOF method, applying the method to complex unstructured grids is challenging.…”

Section: Introductionmentioning

confidence: 99%

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A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

Maes

Soulaine

2020

Journal of Computational Physics

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This paper presents a novel unified single-field formulation for Volume-Of-Fluid simulation of interfacial mass transfer with local volume changes. By comparison with the previous models referred as Continuous Species Transfer in the literature, our improved model uses a single-field formulation of the local mass transfer across the interface, enabling us to take into account local volume changes induced by non-dilute species transfer. The numerical model, implemented in our in-house OpenFOAM-based simulator, is validated by comparison with analytical solutions in 1D and 2D, and a semi-analytical solution in 3D. The implemented approach is first applied to investigate competing mass transfer in an infinite cylinder. We then simulate the shrinking of a single-component rising bubble at low Schmidt number. The numerical model is shown to be well adapted to investigate local Sherwood numbers and existing correlation for mass transfer at fluid interfaces.

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“…Here, we present only the final conservation laws. A detailed derivation can be found in Fleckenstein and Bothe (2015). The continuity equation reads…”

Section: Algebraic Vof Method: From Continuous To Discrete Domainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

Maes

Soulaine

2020

Journal of Computational Physics

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“…The models presented so far describe mass transfer based on a single-field formulation. Fleckenstein and Bothe [12] present a different approach. They calculate mass transfer using a two-field model, i.e., each phase is described by a separate concentration field which is extended into the respective other phase with a value of zero.…”

Section: Simon Hill Nadin Sarajlic Sebastian Rehfeldt Harald Kleinmentioning

confidence: 99%

“…Then, the coupling at the interface is performed with an equilibrium condition. The definition of the indicator functions e k for each phase reads: The mass transport equations solved in this model are based on the ones derived by Fleckenstein and Bothe [12]:…”

Section: Two-field Modelmentioning

confidence: 99%

Comparison of the Generalized Species Transfer Model with a Two‐Field Approach for Interfacial Mass Transfer

et al. 2020

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Two different approaches can be applied to calculate the mass transfer in a twophase system using computational fluid dynamics and the volume-of-fluid method, single-field and two-field approaches. The used method affects the stability of the calculation as well as the accuracy of the result. Two volume-of-fluid-based approaches, namely, the generalized continuous species transfer model, a singlefield approach, and a two-field approach are compared. The models are implemented in the OpenFOAM framework and validated in a 1D test case. Although both approaches show great agreement with the analytical solution for large time steps, numerical instabilities of the two-field model are revealed with a reduced time step size, which leads to false results.

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“…The equations required for interface reconstruction and advection are then explained, and jump conditions across said interface are elaborated for the aforementioned governing equations. The numerical algorithm based on the Volume-of-Fluid (VOF) method is then developed for a low-Mach number, non-isothermal flow with interfacial mass transfer in the style of [4][5][6] but with a novel proposition for a dynamic calculation of evaporation rate.…”

Section: Extended Abstractmentioning

confidence: 99%

On the Influence of Water-Side Turbulence on an Evaporating Free Surface

Hay¹,

Papalexandris²

2018

World Congress on Mechanical, Chemical, and Material Engineering

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A Volume-of-Fluid-based numerical method for multi-component mass transfer with local volume changes

Cited by 44 publications

References 32 publications

A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

A unified single-field Volume-of-Fluid-based formulation for multi-component interfacial transfer with local volume changes

Comparison of the Generalized Species Transfer Model with a Two‐Field Approach for Interfacial Mass Transfer

On the Influence of Water-Side Turbulence on an Evaporating Free Surface

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