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An extended mixture model for the simultaneous treatment of small‐scale and large‐scale interfaces
Author(s) -
Damián Santiago Márquez,
Nigro Norberto M.
Publication year - 2014
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.3906
Subject(s) - scale (ratio) , grid , interface (matter) , computer science , generalization , slip (aerodynamics) , two fluid model , algebraic number , scale model , measure (data warehouse) , mathematical optimization , algorithm , computational science , mathematics , mechanics , data mining , geometry , engineering , parallel computing , mathematical analysis , physics , bubble , quantum mechanics , maximum bubble pressure method , aerospace engineering
SUMMARY The aim of this work is to present a new model based on the volume of fluid method and the algebraic slip mixture model in order to solve multiphase gas–fluid flows with different interface scales and the transition among them. The interface scale is characterized by a measure of the grid, which acts as a geometrical filter and is related with the accuracy in the solution; in this sense, the presented coupled model allows to reduce the grid requirements for a given accuracy. With this objective in mind, a generalization of the algebraic slip mixture model is proposed to solve problems involving small‐scale and large‐scale interfaces in an unified framework taking special care in preserving the conservativeness of the fluxes. This model is implemented using the OpenFOAM ® libraries to generate a tool capable of solving large problems on high‐performance computing facilities. Several examples are solved as a validation for the presented model, including new quantitative measurements to assess the advantages of the method. Copyright © 2014 John Wiley & Sons, Ltd.