期刊
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
卷 97, 期 -, 页码 60-77出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmultiphaseflow.2017.08.003
关键词
Statistical interface model; Volume of fluid method; Conservative level-set method; Phase field method; Multiphase flows
类别
资金
- National Science Center, Poland (Narodowe Centrum Nauki, Polska) in the project Statistical modeling of turbulent two-fluid flows with interfaces [2016/21/B/ST8/01010, 334165]
This paper discusses a relation between the re-initialization equation of the level-set functions derived by Waclawczyk [J. Comput. Phys., 299 (2015)] and the condition for the phase equilibrium provided by the stationary solution to the modified Allen-Cahn equation [Acta Metall., 27 (1979)]. As a consequence, the statistical model of the non-flat interface in the state of phase equilibrium is postulated. This new physical model of the non-flat interface is introduced based on the statistical picture of the sharp interface disturbed by the field of stochastic forces, it yields the relation between the sharp and diffusive interface models. Furthermore, the new techniques required for the accurate solution of the model equations are proposed. First it is shown, the constrained interpolation improves re-initialization of the level-set functions as it avoids oscillatory numerical errors typical for the second-order accurate interpolation schemes. Next, the new semi-analytical, second order accurate Lagrangian scheme is put forward to integrate the advection equation in time avoiding interface curvature oscillations introduced by the second-order accurate flux limiters. These techniques provide means to obtain complete, second-order convergence during advection and re-initialization of the interface in the state of phase equilibrium. (C) 2017 Elsevier Ltd. All rights reserved.
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