3D vesicle dynamics simulations with a linearly triangulated surface

Authors:
G. Boedec;M. Leonetti;M. Jaeger
Affiliations:
M2P2, UMR-6181, Aix-Marseille Université, CNRS, Ecole Centrale Marseille, IMT La Jetée, Technopôle de Chíteau-Gombert, 38, Rue Frédéric Joliot-Curie, 13451 Marseille ...;IRPHE, UMR-6594, Aix-Marseille Université, CNRS, Ecole Centrale Marseille, Technopôle de Chíteau-Gombert, 49, Rue Frédéric Joliot-Curie, 13384 Marseille Cedex 13, France;M2P2, UMR-6181, Aix-Marseille Université, CNRS, Ecole Centrale Marseille, IMT La Jetée, Technopôle de Chíteau-Gombert, 38, Rue Frédéric Joliot-Curie, 13451 Marseille ...
Venue:
Journal of Computational Physics
Year:
2011

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Abstract

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.