A level set projection model of lipid vesicles in general flows

Authors:
D. Salac;M. Miksis
Affiliations:
Northwestern University, Engineering Sciences and Applied Mathematics, Evanston, IL 60208, United States;Northwestern University, Engineering Sciences and Applied Mathematics, Evanston, IL 60208, United States
Venue:
Journal of Computational Physics
Year:
2011

Citing 13
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Abstract

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.