Modeling of Multicomponent Three-Dimensional Vesicles

TL;DR

This paper presents a comprehensive 3D model for multicomponent vesicle flow dynamics, incorporating surface composition variations and interface capturing techniques, validated through numerical convergence and sample results.

Contribution

Introduces a coupled 3D model for multicomponent vesicles using a two-phase Cahn-Hilliard system and level set methods, with novel energy-based interface coupling.

Findings

Model accurately captures surface inhomogeneities.

Numerical methods demonstrate convergence and validity.

Sample results illustrate complex vesicle behaviors.

Abstract

In many interfacial flow systems, variations of surface properties lead to novel and interesting behaviors. In this work a three-dimensional model of flow dynamics for multicomponent vesicles is presented. The surface composition is modeled using a two-phase surface Cahn-Hilliard system, while the interface is captured using a level set jet scheme. The interface is coupled to the surrounding fluid via a variation of energy approach. Sample energies considered include the total bending, variable surface tension energy, and phase segregation energy. The fully coupled system for surface inhomogeneities, and thus varying interface material properties is presented, as are the associated numerical methods. Numerical convergence and sample results demonstrate the validity of the model.