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Coupling of the interface tracking and the two-fluid models for the simulation of the incompressible two-phase flow
Černe, Gregor ; Petelin, Stojan ; Tiselj, Iztok
The volume of fluid (VOF) method, which uses an interface tracking algorithm for the simulation of the two=phase flow, is coupled with the "two fluid" model, which is based on time and space averaged ...equations and cannot track the interface explicity. The idea of the present work is to use the VOF methodin the parts of the computational domain where the grid density allows surface tracking. In the parts of the domain where the flow is too dispesed tobe described by the interface tracking algorithms, the two-fluid model is used. The equations of the two-fluid model are less accurate than the VOF model due to the empirical closures required in the averaged equasions. However, in the case of the sufficiently dispersed flow, the two-fluid modelresults are still much closer to the real world than the results of the VOF method, which do not have any physical meaning when the grid becomes too coarse. Each model in the present work uses a separate set of equasions suitable for description of two-dimensional, incompressible, viscous two-phase flow. Similar discretization techniques are used for both sets of equasions and solved with the same numerical method. Coupling of both models is achievedvia the volume fraction of one of the fluids, which is used in both models. A special criterion for the transition between the models is derived from the interface reconstruction in the VOF method. An idealized vortical flow and the Rayleigh-Taylor instability are used as tests of the coupling. Inboth cases the time development causes mixing of the fluids and dispersion of the interface that is beyond the capabilities of the model based on the VOF method. Therefore the two-fluid model gradually replaces the interface tracking model. In the final stages of the Rayleigh-Taylor instability, when both fluids are approaching their final posotions and the tractable interface appears again, the two-fluid model is gradually replaced by the VOF method
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