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Extension of the volume‐of‐fluid method for analysis of free surface viscous flow in an ideal gas
Author(s) -
McKibben John F.,
Aidun Cyrus K.
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.1650211204
Subject(s) - volume of fluid method , mechanics , viscous liquid , free surface , flow (mathematics) , two phase flow , laplace pressure , materials science , phase (matter) , boundary value problem , stress (linguistics) , thermodynamics , classical mechanics , mathematics , physics , mathematical analysis , surface tension , linguistics , philosophy , quantum mechanics
The volume‐of‐fluid (VOF) method is a simple and robust technique for simulating free surface flows with large deformations and intersecting free surfaces. Earlier implementations used Laplace's formula for the normal stress boundary condition at the interface between the liquid and vapour phases. We have expanded the interfacial boundary conditions to include the viscous component of the normal stress in the liquid phase and, in a limited manner, to allow the pressure in the vapour phase to vary. Included are sample computations that show the accuracy of added third‐order‐accurate differencing schemes for the convective terms in the Navier‐Stokes equation (NSE), the viscous terms in the normal stress at the interface and the solution of potential flow in the vapour phase coupled with the solution of the NSE in the liquid phase. With these modifications we show that the VOF method can accurately predict the instability of a thin viscous sheet flowing through a stagnant vapour phase.