Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 43, Issue 10-11, Pages 1177-1198Publisher
WILEY
DOI: 10.1002/fld.508
Keywords
two-phase flow; numerical method; Eulerian formulation
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It is often the case that the numerical simulation of two phase flows leads to a number of difficulties associated with the solution algorithms utilized. Those difficulties manifest themselves as an impossibility to converge the iterative solution process, typical of the finite-volume pressure-correction methods, and are particularly persistent in cases with phase segregation (complete, or almost complete, separation of one phase from the other) and with fine meshes. A number of effective measures to overcome such problems are here proposed and tested, encompassing: (1) modification of the momentum equations formulation in a way that avoids singularity as volume fractions (alpha) tend to zero; (2) bounding of the volume fractions during the iterative algorithm in a way that enforces the physical limits, alphagreater than or equal to0 and less than or equal to1; (3) symmetric treatment of some terms in the equations, and consistent formulation of cell-face fluxes in order to prevent numerical-induced oscillations. Copyright (C) 2003 John Wiley Sons, Ltd.
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