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A volume‐tracking method for incompressible multifluid flows with large density variations
Author(s) -
Rudman Murray
Publication year - 1998
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/(sici)1097-0363(19980815)28:2<357::aid-fld750>3.0.co;2-d
Subject(s) - momentum (technical analysis) , compressibility , conservation of mass , mechanics , volume of fluid method , advection , multigrid method , pressure correction method , tracking (education) , piecewise linear function , finite volume method , mathematics , control volume , classical mechanics , bubble , physics , mathematical analysis , flow (mathematics) , partial differential equation , psychology , pedagogy , thermodynamics , finance , economics
A numerical technique (FGVT) for solving the time‐dependent incompressible Navier–Stokes equations in fluid flows with large density variations is presented for staggered grids. Mass conservation is based on a volume tracking method and incorporates a piecewise‐linear interface reconstruction on a grid twice as fine as the velocity–pressure grid. It also uses a special flux‐corrected transport algorithm for momentum advection, a multigrid algorithm for solving a pressure‐correction equation and a surface tension algorithm that is robust and stable. In principle, the method conserves both mass and momentum exactly, and maintains extremely sharp fluid interfaces. Applications of the numerical method to prediction of two‐dimensional bubble rise in an inclined channel and a bubble bursting through an interface are presented. © 1998 John Wiley & Sons, Ltd.