Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 212, Issue 2, Pages 757-777Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2005.07.020
Keywords
vesicle membrane; elastic bending energy; energetic variational approach; diffusive interface approximation; phase field model; numerical methods; three-dimensional simulation
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In this paper, we study the three-dimensional deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Both static and dynamic deformations are considered. A newly developed energetic variational formulation is employed to give an effective Eulerian description. Efficient time and spatial discretizations are considered and implemented. Numerical experiments illustrate some fascinating phenomena that are of interests in real applications. (c) 2005 Elsevier Inc. All rights reserved.
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