Three-Dimensional Single Framework Multicomponent Lattice Boltzmann Equation Method For Vesicle Hydrodynamics

We develop a three-dimensional immersed boundary chromodynamic multicomponent lattice Boltzmann method capable of simulating vesicles, such as erythrocytes. The presented method is encapsulated in a single framework, where the application of the immersed boundary force in the automatically adaptive interfacial region results in correct vesicle behavior. We also set down a methodology for computing the principal curvatures of a surface in a three-dimensional, physical space which is defined solely in terms of its surface normal vectors. The benefits of such a model are its transparent methodology, stability at high levels of deformation, automatic-adaptive interface, and potential for the simulation of many erythrocytes. We demonstrate the utility of the model by examining the steady-state properties, as well as dynamical behavior within shear flow. The stability of the method is highlighted through its handling of high deformations, as well as interaction with another vesicle.