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Computation of free surface flows with a Taylor–Galerkin/pressure–correction algorithm
Author(s) -
Ngamaramvaranggul V.,
Webster M. F.
Publication year - 2000
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 - 10.1002/1097-0363(20000815)33:7<993::aid-fld40>3.0.co;2-a
Subject(s) - die swell , free surface , slip (aerodynamics) , drag , finite element method , compressibility , mathematics , swell , computation , newtonian fluid , galerkin method , mechanics , gravitational singularity , geometry , stokes flow , rotational symmetry , flow (mathematics) , mathematical analysis , physics , algorithm , materials science , thermodynamics , extrusion , metallurgy
A semi‐implicit Taylor–Galerkin/pressure–correction finite element scheme (STGFEM) is developed for problems that manifest free surfaces associated with the incompressible creeping flow of Newtonian fluids. Such problems include stick–slip and die‐swell flows, both with and without a superimposed drag flow, and for plane, axisymmetric and annular systems. The numerical solutions are compared with available analytical and numerical solutions, both in the neighbourhood of singularities and elsewhere. Close correspondence in accuracy is extracted from the literature for both stick–slip and die‐swell flows. Stick–slip flow is used as a precursor study to the more complex free surface calculations involved for die‐swell in extrudate flow. Two different free surface techniques are reported and results are analysed with mesh refinement and varying structure. Copyright © 2000 John Wiley & Sons, Ltd.