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In Silico Clinical Trials for Cardiovascular Disease
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Multiple-component lattice Boltzmann equation for fluid-filled vesicles in flow.

I Halliday1, S V Lishchuk, T J Spencer

  • 1Materials and Engineering Research Institute, Sheffield Hallam University, Sheffield, S1 1WB, UK. i.halliday@shu.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 19, 2013
PubMed
Summary

This study introduces an advanced lattice Boltzmann equation model for simulating vesicle dynamics. The new Eulerian method efficiently models fluid flow and vesicle membranes without complex tracking, enabling simulations of deformable objects.

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Area of Science:

  • Computational fluid dynamics
  • Biophysics
  • Soft matter physics

Background:

  • Simulating deformable objects like vesicles is computationally challenging.
  • Existing methods often require complex interface tracking and remeshing.
  • Accurate modeling of vesicle mechanics in fluid flow is crucial for understanding biological and soft matter systems.

Purpose of the Study:

  • To develop and implement an extended lattice Boltzmann equation (LBE) model for simulating vesicle dynamics.
  • To create a computationally efficient Eulerian framework for coupled vesicle-fluid flow.
  • To avoid explicit membrane tracking and reduce computational cost.

Main Methods:

  • Extended a two-dimensional, multicomponent LBE model with Laplace law interfacial tension.
  • Developed an Eulerian scheme representing vesicle membranes and fluid flow in a single framework.
  • Implemented a model that inherently conserves vesicle volume and membrane length.

Main Results:

  • The extended model accurately describes vesicle boundaries with conserved properties (volume, length, compressibility, bending rigidity, curvature, tension).
  • The Eulerian approach eliminates the need for explicit interface tracking and remeshing.
  • Validation data confirm the method's utility in simulating high volume fraction suspensions of deformable vesicles.

Conclusions:

  • The developed LBE model provides an efficient and robust method for simulating vesicle dynamics in fluid flow.
  • This approach significantly reduces computational expense compared to traditional interface tracking methods.
  • The model is suitable for simulating complex systems involving deformable objects, such as suspensions.