2017
DOI: 10.1016/j.ijmultiphaseflow.2017.08.003
|View full text |Cite
|
Sign up to set email alerts
|

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

Abstract: 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 sh… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

0
20
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
5
1

Relationship

1
5

Authors

Journals

citations
Cited by 17 publications
(20 citation statements)
references
References 36 publications
0
20
0
Order By: Relevance
“…The answers to some of these questions are given in [21]. Unlike described by the sharp and diffusive interface models the mesoscopic interface Γ between two phases is rough and/or turbulent.…”
Section: Introductionmentioning
confidence: 99%
See 4 more Smart Citations
“…The answers to some of these questions are given in [21]. Unlike described by the sharp and diffusive interface models the mesoscopic interface Γ between two phases is rough and/or turbulent.…”
Section: Introductionmentioning
confidence: 99%
“…is the absolute temperature and σ [J/m 2 ] is the surface tension coefficient [16,17]. The discrepancy between true nature of the interface and its smooth, deterministic models has led the present author to development of the description that is alternative for the sharp and diffusive interface models and yet it shows they can be considered as complementary components of the same statistical description [22,21,23].…”
Section: Introductionmentioning
confidence: 99%
See 3 more Smart Citations