A coupled volume-of-fluid/level-set method for simulation of two-phase flows on unstructured meshes

Balcázar, Néstor; Lehmkuhl, O.; Jofre, L.; Rigola, Joaquim; Oliva, A.

doi:10.1016/j.compfluid.2015.10.005

Cited by 104 publications

(115 citation statements)

References 45 publications

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“…Finally, CD schemes are used for the compressive and diffusive terms of the reinitialization equation, Eq. 9 [20].…”

Section: Numerical Schemesmentioning

confidence: 99%

“…The latter is composed of front-tracking methods [16], which precisely describe the multiphase flow, but they are complex to implement due to the need for re-meshing at each iteration. Inside the group of methods that use an Eulerian approach, there are three main types: the volume-of-fluid (VOF) methods [18], the level set (LS) methods [19] and hybrid methods, for example, the VOF/LS method [20]. The VOF methods have the advantage of inherently conserving the mass, but the calculus of the geometrical properties at the interface is troublesome.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

Gutiérrez

Balcázar

Bartrons

et al. 2017

Chemical Engineering Science

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An Arbitrary Lagrangian-Eulerian formulation has been posed to solve the challenging problem of the three-dimensional Taylor bubble, within a Conservative Level Set (CLS) framework. By employing a domain optimization method (i.e. the moving mesh method), smaller domains can be used to simulate rising bubbles, thus saving computational resources. As the method requires the use of open boundaries, a careful treatment of both inflow and outflow boundary conditions has been carried out. The coupled CLS - moving mesh method has been verified by means of extensive numerical tests. The challenging problem of the full three-dimensional Taylor bubble has then been thoroughly addressed, providing a detailed description of its features. The study also includes a sensitivity analyses with respect to the initial shape of the bubble, the initial volume of the bubble, the flow regime and the inclination of the channel.Postprint (author's final draft

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“…Finally, CD schemes are used for the compressive and diffusive terms of the reinitialization equation, Eq. 9 [20].…”

Section: Numerical Schemesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

Gutiérrez

Balcázar

Bartrons

et al. 2017

Chemical Engineering Science

View full text Add to dashboard Cite

show abstract

“…The Volume-of-Fluid (VOF) model is usually employed to capture the interface between two fluids by solving a single set of Navier-Stokes equations indicating both air and liquid (Hirt and Nichols, 1981). This method was employed in previous studies to predict the two-phase flows in several industrial applications and produce numerical results within the engineering accuracy (Balcázar, Lehmkuhl, Jofre, Rigola, and Oliva, 2016;Gupta, Fletcher, and Haynes, 2009;Jiang, Long, Wang, Liu, and Chen, 2016;Shirani, Ghadiri, and Ahmadi, 2011).…”

Section: Introductionmentioning

confidence: 99%

Numerical, Experimental and Analytical Studies on Fluid Flow through a Marsh Funnel

Sadrizadeh

Ghaffar²,

Halilovicc

et al. 2017

JAFM

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This paper presents the application of computational fluid dynamics technique in civil and underground industries to evaluate fluid behaviour in a Marsh funnel. The numerical approach, based on computational fluid dynamics, simulated an incompressible two-phase Newtonian flow by means of the Volume-of-Fluid method. A complementary analytical proposed which provided a quick, field-ready method to assess the fluid field in the Marsh funnel. A supplemental experimental effort evaluated the results obtained from both the analytical calculation and numerical simulation. Results showed that the application of computational fluid dynamics technique gives the desired results in studying fluid flows in civil and underground industries. Proposed analytical solution is also capable of accurately predicting the fluid flow and thus can complement the experimental and numerical approaches. Further, the proposed analytical approach can be an alternative method for faster evaluation of fluid, although it needs to be calibrated with either the numerical or the experimental studies.

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“…Moreover, a frequent reinitialisation is required to keep the Level‐Set a signed distance function. To take advantage of the respective advantages of VOF and Level‐Set methods, some researchers have proposed to use a combination of both . In general, interface‐capturing methods have the advantage of being flexible and topological changes are handled automatically, but they cannot represent a sharp transition of fluid properties at the interface.…”

Section: Introductionmentioning

confidence: 99%

Interface‐fitted moving mesh method for axisymmetric two‐phase flow in microchannels

Gros

Anjos

Thome

2017

Numerical Methods in Fluids

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Summary A boundary‐fitted moving mesh scheme is presented for the simulation of two‐phase flow in two‐dimensional and axisymmetric geometries. The incompressible Navier‐Stokes equations are solved using the finite element method, and the mini element is used to satisfy the inf‐sup condition. The interface between the phases is represented explicitly by an interface adapted mesh, thus allowing a sharp transition of the fluid properties. Surface tension is modelled as a volume force and is discretized in a consistent manner, thus allowing to obtain exact equilibrium (up to rounding errors) with the pressure gradient. This is demonstrated for a spherical droplet moving in a constant flow field. The curvature of the interface, required for the surface tension term, is efficiently computed with simple but very accurate geometric formulas. An adaptive moving mesh technique, where smoothing mesh velocities and remeshing are used to preserve the mesh quality, is developed and presented. Mesh refinement strategies, allowing tailoring of the refinement of the computational mesh, are also discussed. Accuracy and robustness of the present method are demonstrated on several validation test cases. The method is developed with the prospect of being applied to microfluidic flows and the simulation of microchannel evaporators used for electronics cooling. Therefore, the simulation results for the flow of a bubble in a microchannel are presented and compared to experimental data.

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A coupled volume-of-fluid/level-set method for simulation of two-phase flows on unstructured meshes

Cited by 104 publications

References 45 publications

Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

Numerical, Experimental and Analytical Studies on Fluid Flow through a Marsh Funnel

Interface‐fitted moving mesh method for axisymmetric two‐phase flow in microchannels

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