期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 302, 期 -, 页码 509-523出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.09.025
关键词
Phase-field; Multiphase flows; Vesicle membrane; Navier-Stokes; Allen-Cahn; Stability
资金
- Ministry of Education Program for New Century Excellent Talents Project [NCET-12-0053]
- National Science Foundation [DMS-1418898, DMS-1200487]
- AFOSR [FA9550-12-1-0178]
- SC Epscor Gear Fund
- Fundamental Research Funds for the Center University
- [NSFC-11271048]
- [NSFC-RGC-11261160486]
- [NSFC-11471046]
- [NSFC-11471312]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1418898] Funding Source: National Science Foundation
We consider the numerical approximations of the classical phase-field vesicle membrane models proposed a decade ago in Du et al. (2004) [6]. We first reformulate the model derived from an energetic variational formulation into a form which is suitable for numerical approximation, and establish the energy dissipation law. Then, we develop a stabilized, decoupled, time discretization scheme for the coupled nonlinear system. The scheme is unconditionally energy stable and leads to linear and decoupled elliptic equations to be solved at each time step. Stability analysis and ample numerical simulations are presented thereafter. (C) 2015 Elsevier Inc. All rights reserved.
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