A finite-volume/level-set method for simulating two-phase flows on unstructured grids

Balcázar, Néstor; Jofre, L.; Lehmkuhl, O.; González, Jesús Castro; Rigola, Joaquim

doi:10.1016/j.ijmultiphaseflow.2014.04.008

Cited by 103 publications

(325 citation statements)

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“…For instance: the front tracking (FT) method [47,46], level set (LS) methods [30,42,29,1], volume-of-fluid (VOF) methods [18,48,24], and hybrid VOF/LS methods [43,49,41,28]. In these methods, two-phase flow i s t reated a s a s ingle fl ow wi th th e de nsity and viscosity varying smoothly across the moving interface which is captured in an Eulerian framework (VOF, LS, CLSVOF, VOSET) or in a Lagrangian framework (FT).…”

Section: Introductionmentioning

confidence: 99%

“…Recently, [29] has introduced a conservative level-set method (CLS) where mass conservation problem is greatly reduced, while an hyperbolic tangent function is employed as the level-set function. Moreover, this approach has been generalized to unstructured meshes by [1,2,3], in the framework of finite-volume discretizations.…”

Section: Introductionmentioning

confidence: 99%

“…Regarding the fluid flow, a classical fractional step method [7] is used to solve the incompressible Navier-Stokes equations, which are coupled with the VOF and LS functions. The Navier-Stokes equations have been discretized by means of the finite-volume method on a collocated unstructured grid arrangement, according to the work introduced in [1]. Numerical results are contrasted against numerical and experimental data from the literature.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2016

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This paper presents a methodology for simulation of two-phase flows with surface tension in the framework of unstructured meshes, which combines volume-of-fluid with level-set methods. While the volume-of-fluid transport relies on a robust and accurate polyhedral library for interface advection, surface tension force is calculated by using a level-set function reconstructed by means of a geometrical procedure. Moreover the solution of the fluid flow equations is performed through the fractional step method, using a finite-volume discretization on a collocated grid arrangement. The numerical method is validated against two-and three-dimensional test cases well established in the literature. Conservation properties of this method are shown to be excellent, while geometrical accuracy remains satisfactory even for

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2016

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“…Subsequently, Olsson and Kreiss (2005) introduced the conservative levelset (CLS) method to some extent coupling the advantages of the sharp and regularized interface models (see Chiu and Lin (2011);Balcazar et al (2014)). …”

Section: Introductionmentioning

confidence: 99%

On a relation between the volume of fluid, level-set and phase field interface models

Wacławczyk

2017

International Journal of Multiphase Flow

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This paper discusses a relation between the re-initialization equation of the level-set functions derived by Wac lawczyk [J. Comp.Phys., 299, (2015)] and the condition for the phase equilibrium provided by the stationary solution to the modified Allen-Cahn equation [Acta Metall., 27, (1979)]. As a consequence, the statistical model of the non-flat interface in the state of phase equilibrium is postulated. This new physical model of the non-flat interface is introduced based on the statistical picture of the sharp interface disturbed by the field of stochastic forces, it yields the relation between the sharp and diffusive interface models.Furthermore, the new techniques required for the accurate solution of the model equations are proposed. First it is shown, the constrained interpolation improves re-initialization of the level-set functions as it avoids oscillatory numerical errors typical for the second-order accurate interpolation schemes. Next, the new semi-analytical, second order accurate Lagrangian scheme is put forward to integrate the advection equation in time avoiding interface curvature oscillations introduced by the second-order accurate flux limiters. These techniques provide means to obtain complete, second-order convergence during advection and reinitialization of the interface in the state of phase equilibrium.

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“…On the other hand, the interface-capturing approaches describe the motion of the interface by embedding the different fluids into a static mesh. In particular, from this last group, the two main options of choice are the Volume-of-Fluid (VOF) [7,8,9] and Level-Set (LS) [10,11,12] methods, as well as algorithms based on combinations of both. From all these options, this paper is focused on the VOF method.…”

Section: Introductionmentioning

confidence: 99%

Parallel load balancing strategy for Volume-of-Fluid methods on 3-D unstructured meshes

Jofre

Borrell

Lehmkuhl

et al. 2015

Journal of Computational Physics

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UPCommonsPortal del coneixement obert de la UPC http://upcommons.upc.edu/e-prints Abstract: Volume-of-Fluid (VOF) is one of the methods of choice to reproduce the interface motion in the simulation of multi-fluid flows. One of its main strengths is its accuracy in capturing sharp interface geometries, although requiring for it a number of geometric calculations. Under these circumstances, achieving parallel performance on current supercomputers is a must. The main obstacle for the parallelization is that the computing costs are concentrated only in the discrete elements that lie on the interface between fluids. Consequently, if the interface is not homogeneously distributed throughout the domain, standard domain decomposition (DD) strategies lead to imbalanced workload distributions. In this paper, we present a new parallelization strategy for general unstructured VOF solvers, based on a dynamic load balancing process complementary to the underlying DD. Its parallel efficiency has been analyzed and compared to the DD one using up to 1024 CPU-cores on an Intel SandyBridge based supercomputer. The results obtained on the solution of several artificially generated test cases show a speedup of up to 12x with respect to the standard DD, depending on the interface size, the initial distribution and the number of parallel processes engaged. Moreover, the new parallelization strategy presented is of general purpose, therefore, it could be used to parallelize any VOF solver without requiring changes on the coupled flow solver. Finally, note that although designed for the VOF method, our approach could be easily adapted to other interface-capturing methods, such as the Level-Set, which may present similar workload imbalances. SUMMARY OF CHANGESAccordingly to the comments raised by the reviewer, the changes on the manuscript are:1. As suggested by Reviewer #1: (1) Eq. 3 is valid only for divergence-free velocity fields, hence, this condition has been introduced in the text; (2) the limits of the sum in the numerator of Eqs. 9 -11 were incorrect, therefore, they have been corrected to start at 0 and end at P-1; (3) the description of Fig. 10 has been improved.2. The reviewer observed that Alg. 4 did not scale in terms of memory, since vector WI gathered information from all processes and, thus, grew with the size of the problem and number of CPU-cores. This may had become a bottleneck on larger scale tests. Therefore, we have developed a new version of the algorithm overcoming such limitations. The new version is based on non-blocking point-to-point communications.The new algorithm has substituted the previous one on the manuscript, and all tests for the LB strategy have been repeated and the results updated. Since Alg. 4 represents only 5% of the algorithm time, its upgrading has provided rather small improvements on the results. Even so, the important point is that the memory bottleneck has been eliminated.3. Furthermore, we have corrected some minor errors and we have tried to improve the wording across all the manuscrip...

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A finite-volume/level-set method for simulating two-phase flows on unstructured grids

Cited by 103 publications

References 48 publications

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

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

On a relation between the volume of fluid, level-set and phase field interface models

Parallel load balancing strategy for Volume-of-Fluid methods on 3-D unstructured meshes

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