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Journal of Computational Physics 230, 4 (2011) 1020-1034
3D vesicle dynamics simulations with a linearly triangulated surface
Gwen Boedec 1, Marc Leonetti 2, M. Jaeger 1
(2011-02-20)

Simulations of biomembranes have gained an increasing interest in the past years. specificities of these membranes propose new challenges for the numerics. In particular, vesicle dynamics are governed by bending forces as well as a surface incompressibility constraint. A method to compute the bending force density resultant onto piecewise linearly triangulated surface meshes is described. This method is coupled with a boundary element method solver for inner and outer fluids, to compute vesicle dynamics under external flows. The surface incompressibility constraint is satisfied by the construction of a projection operator.
1:  Modélisation et Simulation Numérique en Mécanique et Génie des Procédés (MSNMGP)
CNRS : UMR6181 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
2:  Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE)
CNRS : UMR7342 – Aix-Marseille Université - AMU – Ecole Centrale de Marseille
Biomembranes – Fluid-structure interaction – Bending energy – Surface incompressibility – Micro flows – 3D Boundary element method