期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 229, 期 17, 页码 6135-6155出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2010.04.045
关键词
Conservative phase-field models; Model H; Adaptive mesh refinements; Semi-implicit methods; Flow-induced drop coalescence; Kelvin-Helmholtz instability; Multi-level multigrid; Bharmonic equation
资金
- NSF [DMS 0609996]
- FAPESP [04/13781-1, 06/57099-5]
- CNPq [307348/2008-3]
We present an efficient numerical methodology for the 31) computation of incompressible multi-phase flows described by conservative phase-field models We focus here on the case of density matched fluids with different viscosity (Model H) The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level multigrid to relax high order stability constraints and to capture the flow's disparate scales at optimal cost. Only five linear solvers are needed per time-step. Moreover, all the adaptive methodology is constructed from scratch to allow a systematic investigation of the key aspects of AMR in a conservative, phase-field setting. We validate the method and demonstrate its capabilities and efficacy with important examples of drop deformation, Kelvin-Helmholtz instability, and flow-induced drop coalescence (C) 2010 Elsevier Inc. All rights reserved
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