Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6929244 | Journal of Computational Physics | 2018 | 19 Pages |
Abstract
Numerical schemes to simulate the deformation of vesicles membranes via minimizing the bending energy have been widely studied in recent times due to its connection with many biological motivated problems. In this work we propose a new unconditionally energy stable numerical scheme for a vesicle membrane model that satisfies exactly the conservation of volume constraint and penalizes the surface area constraint. Moreover, we extend these ideas to present an unconditionally energy stable splitting scheme decoupling the interaction of the vesicle with a surrounding fluid. Finally, the well behavior of the proposed schemes are illustrated through several computational experiments.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
F. Guillén-González, G. Tierra,