A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking

Aulisa, Eugenio; Manservisi, Sandro; Scardovelli, Ruben

doi:10.1016/j.jcp.2003.12.009

Cited by 73 publications

(73 citation statements)

References 36 publications

(72 reference statements)

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“…6: return αΔt and α(d+t); have been previously used to test other moving-interface methods [7,8]. These flows are relatively easy if the surface remains smooth but nontrivial for mesh smoothing in the presence of sharp features or large curvature.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Advective motion 5.1.1. Rotation of slotted sphere Rotation has been widely used in the literature to test moving interface methods [7][8][9]14]. We adopt the problem of rotating the Zalesak's sphere [7], which is a unit sphere with a slot of 1/3 unit wide and 5/6 unit high aligned along the YZ plane.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The initial sphere has radius 0.15 centered at (0.5, 0.75, 0.5). In [8], the period was chosen to be 2 or 4 to demonstrate the adaptive capability of their method for handling strong distortions. As we used fixed-connectivity meshes, we chose the test with the shorter period (T = 2).…”

Section: Reversal Vortex Flowmentioning

confidence: 99%

“…This problem is commonly referred to as interface propagation. Because singularities and topological changes may develop during the evolution of the surface, this problem poses daunting challenges in developing accurate, efficient, and robust techniques, and has attracted significant interests in the past two decades [1][2][3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, existing Lagrangian methods often suffer from instabilities in the form of growing oscillations or self-intersections [3] and sometimes must resort to ad hoc techniques to trim off self-intersections [18,19]. Due to this mixed success of pure Lagrangian or Eulerian methods, in an attempt to seek a better compromise between the accuracy of Lagrangian methods and robustness of Eulerian methods, a number of hybrid methods have appeared in recent years [7][8][9][10]. These methods unfortunately are more complex to implement than traditional methods and still suffer from smearing of singularities (although milder than pure Eulerian methods).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Face offsetting: A unified approach for explicit moving interfaces

Jiao

2007

Journal of Computational Physics

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Dynamic moving interfaces are central to many scientific, engineering, and graphics applications. In this paper, we introduce a novel method for moving surface meshes, called the face offsetting method, based on a generalized Huygens' principle. Our method operates directly on a Lagrangian surface mesh, without requiring an Eulerian volume mesh. Unlike traditional Lagrangian methods, which move each vertex directly along an approximate normal or user-specified direction, our method propagates faces and then reconstructs vertices through an eigenvalue analysis locally at each vertex to resolve normal and tangential motion of the interface simultaneously. The method also includes techniques for ensuring the integrity of the surface as it evolves. Face offsetting provides a unified framework for various dynamic interface problems and delivers accurate physical solutions even in the presence of singularities and large curvatures. We present the theoretical foundation of our method, and also demonstrate its accuracy, efficiency, and flexibility for a number of benchmark problems and a real-world application.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Reversal Vortex Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Face offsetting: A unified approach for explicit moving interfaces

Jiao

2007

Journal of Computational Physics

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‘Moment of fluid’ interface reconstruction method in axisymmetric coordinates

Anbarlooei

Mazaheri

2011

Int. J. Numer. Meth. Biomed. Engng.

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SUMMARYIn this paper the 'Moment of Fluid' interface reconstruction method is extended to axisymmetric coordinate. In order to perform this extension, two modifications are applied to the original method. First, a new fluid moment is defined in the axisymmetric coordinate. Second, the remap phase is altered to incorporate the effect of symmetry. The capability of the extended method is assessed by testing its potential to track interfaces through large topology change. Also, the accuracy of the method is compared against widely used Young's method.

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A hybrid interface method for three‐dimensional multiphase flows based on front tracking and level set techniques

Shin

Jurić

2008

Numerical Methods in Fluids

102

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SUMMARYSuccessful interface methods for multiphase flows need to be designed to operate well in the opposite extremes of strongly surface tension-dominant flows on the one hand and strongly deforming flows on the other. To this end, recent advances in direct numerical simulation of multiphase flows have involved the hybridization of popular methods. One hybrid approach developed by the authors is the level contour reconstruction method (LCRM), which combines the characteristics of both the front tracking and the level set method. It was designed specifically for general 3D multiphase flow problems where very dynamic and deformable interfaces interact and where accuracy, reliability, and simplicity are essential features. In this paper, we carry the hybridization of the LCRM with the level set technique to a further level in that the explicit calculation of a distance function is introduced and plays a crucial role in the interface reconstruction procedure as well as in the calculation of the surface tension force. An accurate method of computing the distance function directly from the tracked interface is presented whereby a vector distance function is found, i.e. the minimum distance to the interface as well as the corresponding minimum distance point location on the interface itself. This information allows us to calculate a compact curvature field for the computation of the surface tension force, which decreases the level of parasitic currents to a negligible level. Various benchmark test cases to demonstrate the accuracy of the new schemes compared with other existing methods are provided.

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A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking

Cited by 73 publications

References 36 publications

Face offsetting: A unified approach for explicit moving interfaces

Face offsetting: A unified approach for explicit moving interfaces

‘Moment of fluid’ interface reconstruction method in axisymmetric coordinates

A hybrid interface method for three‐dimensional multiphase flows based on front tracking and level set techniques

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