期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 257, 期 -, 页码 708-725出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2013.10.028
关键词
Two-phase flow; Diffuse-interface models; Finite element schemes; Finite volume schemes
资金
- German Science Foundation (DFG) [SPP1506]
In this paper, we present a numerical scheme for the diffuse-interface model in [3] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with thermodynamics, energy estimates are expected to carry over to the discrete setting. By a subtle discretization of the convective coupling with the flux of the phase-field in the momentum equation, we prove discrete consistency with thermodynamics. Numerical experiments in two spatial dimensions - ranging from Rayleigh-Taylor instability to a comparison with previous modeling approaches - indicate the full practicality of our scheme and enable a first validation of the new modeling approach in [3]. (C) 2013 Elsevier Inc. All rights reserved.
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