Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 230, Issue 22, Pages 8192-8215Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2011.07.019
Keywords
Lipid vesicle; Projection method; Level set; Fluid membrane; Numerical method
Funding
- NSF RTG [DMS-0630574]
- NSF [DMS-0616468]
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A new numerical method to model the dynamic behavior of lipid vesicles under general flows is presented. A gradient-augmented level set method is used to model the membrane motion. To enforce the volume-and surface-incompressibility constraints a four-step projection method is developed to integrate the full Navier-Stokes equations. This scheme is implemented on an adaptive non-graded Cartesian grid. Convergence results are presented, along with sample two-dimensional results of vesicles under various flow conditions. (C) 2011 Elsevier Inc. All rights reserved.
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