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A piecewise linear approach to volume tracking a triple point
Author(s) -
Choi Benjamin Y.,
Bussmann Markus
Publication year - 2006
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1317
Subject(s) - intersection (aeronautics) , point (geometry) , series (stratigraphy) , volume (thermodynamics) , tracking (education) , piecewise , piecewise linear function , triple point , algorithm , advection , computer science , mathematics , geometry , mathematical analysis , engineering , physics , aerospace engineering , geology , psychology , paleontology , pedagogy , quantum mechanics , thermodynamics
Abstract An approach to volume tracking three materials is presented that, in contrast with the so‐called ‘onion‐skin’ methodology, assumes the existence of a ‘triple point’ at which two interfaces between three materials intersect. The reconstruction of any cell that contains three materials is iterative: the approach is to locate a point of intersection between two interfaces that minimizes a given error expression. The advantages and limitations of the algorithm are presented via a series of advection tests that demonstrate that triple points can be reconstructed and advected just as well as simpler interfaces in typical applications. Copyright © 2006 John Wiley & Sons, Ltd.