2011
DOI: 10.1016/j.jcp.2011.02.030
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A conservative level set method suitable for variable-order approximations and unstructured meshes

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Cited by 124 publications
(99 citation statements)
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References 68 publications
(101 reference statements)
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“…The discrepancies are quantitatively of approximately similar magnitudes as the state of the art published in the literature, e.g. in [30,28].…”
Section: Discussionsupporting
confidence: 80%
“…The discrepancies are quantitatively of approximately similar magnitudes as the state of the art published in the literature, e.g. in [30,28].…”
Section: Discussionsupporting
confidence: 80%
“…Recently, the coupled level set (for more information about the level set method, see [222,223,249]) and volume of fluid (CLSVOF) methods [249][250][251] has attracted much attention. As mentioned above, mass conservation and handling large density ratios are the main advantages of the VOF method and inaccurate interface curvature is the main drawback of the VOF method.…”
Section:  Fully Lagrangian Methodsmentioning
confidence: 99%
“…However, the precise capturing and evaluation of the curvature of the free surface is the main advantage of the LS method [208,209,249,252]. It is clear that by coupling the level set and volume of fluid methods (CLSVOF), the mass conservation property of VOF can be combined with the interface smoothness property of LS [249][250][251]. Different algorithms for the coupling of LS and VOF methods have been suggested [249][250][251].…”
Section:  Fully Lagrangian Methodsmentioning
confidence: 99%
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“…The Y Zβ shock-capturing has been used also in a number of other contexts, including as discontinuity capturing in modeling arterial drug delivery [21] and free-surface flows [22][23][24][25], and as shock-capturing in edge-based SUPG computation of inviscid compressible flows [26].…”
Section: Introductionmentioning
confidence: 99%