Premium
Advection of axisymmetric interfaces by the volume‐of‐fluid method
Author(s) -
Mashayek F.,
Ashgriz N.
Publication year - 1995
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.1650201204
Subject(s) - advection , volume of fluid method , rotational symmetry , physics , mechanics , cartesian coordinate system , geometry , boundary (topology) , tracking (education) , mathematics , mathematical analysis , classical mechanics , flow (mathematics) , psychology , pedagogy , thermodynamics
A criterion is proposed for the advection of axisymmetric interfaces. The location of an interface is followed by a volume‐tracking technique wherein a volume fraction parameter is assigned to each of the cells in a Eulerian grid system. The interface is discretized into a set of line segments fitted at the boundary of every pair of neighbouring computational cells. The orientation of a line segment is obtained by inspecting the volume fractions of two neighbouring cells. The volume fractions are then advected using the velocity components at the boundary of the two cells. The following advection criterion is proposed: for advection in the axial direction the axial velocity u is assumed constant in the vicinity of each cell face; for advection in the radial direction the radial velocity v times the radial distance r is assumed constant in the vicinity of each cell face, i.e. r β v = const., where β = 0 for Cartesian and β = 1 for axisymmetric systems. The above criterion is used to develop an algorithm for the advection of axisymmetric interfaces which is referred to as the ‘axisymmetric flux line segment model for advection and interface reconstruction’ or A‐FLAIR.