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Local membrane length conservation in two-dimensional vesicle simulation using a multicomponent lattice Boltzmann

I Halliday¹, S V Lishchuk¹, T J Spencer¹

¹Materials & Engineering Research Institute, Sheffield Hallam University, Howard Street S1 1WB, United Kingdom.

Physical Review. E

|September 15, 2016

Summary

This summary is machine-generated.

We developed a new immersed boundary force method for multicomponent lattice Boltzmann simulations to accurately model vesicle membrane dynamics in fluid hydrodynamics. This approach ensures uniform tangential velocity, improving simulation accuracy for complex fluid behaviors.

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Area of Science:

Computational fluid dynamics
Soft matter physics
Biophysics

Background:

Lattice Boltzmann methods are crucial for simulating fluid dynamics.
Accurate modeling of vesicle membranes requires precise boundary conditions.
Existing methods may not fully capture continuum hydrodynamics for multicomponent systems.

Purpose of the Study:

To present a novel method for incorporating velocity-dependent forces in multicomponent lattice Boltzmann simulations.
To apply this method to enforce uniform tangential velocity on vesicle membranes.
To improve the physical accuracy of boundary conditions in fluid-structure interaction simulations.

Main Methods:

Developed a new immersed boundary force derived from physical arguments.
Integrated this force into a multicomponent lattice Boltzmann equation (LBE) simulation.
Applied the method in 2D to simulate vesicle membranes without Lagrangian tracers.

Main Results:

The enhanced immersed boundary force successfully constrains vesicle membrane tangential velocity to uniformity.
The method establishes physically appropriate boundary conditions at fluid interfaces.
Simulation data align with results from related computational fluid dynamics methods.

Conclusions:

The proposed immersed boundary force method enhances the accuracy of multicomponent LBE simulations.
Correctly modeling vesicle membrane conditions is critical for reliable fluid dynamics simulations.
This approach offers a robust way to simulate complex fluid-structure interactions involving vesicles.