lentFoam – A hybrid Level Set/Front Tracking method on unstructured meshes

Marić, Tomislav; Marschall, Holger; Bothe, Dieter

doi:10.1016/j.compfluid.2014.12.019

Cited by 21 publications

(32 citation statements)

References 34 publications

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“…The LENT hybrid Level Set / Front Tracking method [1] is used for the evolution of the interface, and the unstructured Finite Volume Method in the OpenFOAM computational fluid dynamics platform [23,24,25] is used for the discretization of two-phase Navier-Stokes eqs. (1) and (2).…”

Section: Methodsmentioning

confidence: 99%

“…to compute the material properties of cells c : c ∩ Γ = ∅. In the previous publication [1] α c is approximated with a harmonic function of φ which was also used in the LEFT hybrid level set / front tracking method [19]. The width of the marker field computed by this approach can be as large as the narrow band (4-5 cells) or limited to the single layer of cells that are intersected by the front.…”

Section: Phase Indicator Approximationmentioning

confidence: 99%

“…In the context of the LENT method ψ is either the phase indicator α or the signed distance φ field. For the sake of simplicity ψ = α has been chosen in [1] for a preliminary coupling of LENT with the Navier-Stokes equations. The present work, however, uses φ for the calculation of κ.…”

Section: Curvature Approximationmentioning

confidence: 99%

“…In a previous publication [1], a new LENT hybrid Level Set / Front Tracking method was developed on unstructured meshes. This work extends the LENT method towards two-phase flows driven by the surface tension forces.…”

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confidence: 99%

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Section: Methodsmentioning

confidence: 99%

Section: Phase Indicator Approximationmentioning

confidence: 99%

Section: Curvature Approximationmentioning

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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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Fully implicit finite element method for the modeling of free surface flows with surface tension effect

Laadhari

Székely

2017

Int. J. Numer. Meth. Engng

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Summary A new approach based on the use of the Newton and level set methods allows to follow the motion of interfaces with surface tension immersed in an incompressible Newtonian fluid. Our method features the use of a high‐order fully implicit time integration scheme that circumvents the stability issues related to the explicit discretization of the capillary force when capillary effects dominate. A strategy based on a consistent Newton–Raphson linearization is introduced, and performances are enhanced by using an exact Newton variant that guarantees a third‐order convergence behavior without requiring second‐order derivatives. The problem is approximated by mixed finite elements, while the anisotropic adaptive mesh refinements enable us to increase the computational accuracy. Numerical investigations of the convergence properties and comparisons with benchmark results provide evidence regarding the efficacy of the methodology. The robustness of the method is tested with respect to the standard explicit method, and stability is maintained for significantly larger time steps compared with those allowed by the stability condition. Copyright © 2016 John Wiley & Sons, Ltd.

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lentFoam – A hybrid Level Set/Front Tracking method on unstructured meshes

Cited by 21 publications

References 34 publications

SAAMPLE: A Segregated Accuracy-driven Algorithm for Multiphase Pressure-Linked Equations

SAAMPLE: A Segregated Accuracy-driven Algorithm for Multiphase Pressure-Linked Equations

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

Fully implicit finite element method for the modeling of free surface flows with surface tension effect

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