SpectralBoundaryIntegralMethod.m: Spectral boundary integral method code

• This code was developed for part of my dissertation to simulate red blood cell flow using boundary integral methods.
• This repository contains the code for the concepts and examples presented in Chapter 4 for analyzing the red blood cell motion and deformation in an unbounded domain.

Numerical examples

---

Purely elastic membrane model

---

Simple shear flow

Membrane shape

Click on the following picture to watch the simulation of red blood cell deformation in shear flow with a purely elastic membrane model.

In-plane isotropic membrane tension

Click on the image below to watch a video demonstrating how the tension in a red blood cell's membrane varies while flowing in a shear flow with a purely elastic membrane model.

Fluid flow field inside and outside of a red blood cell

Click on the image below to watch a video illustrating the flow field around a red blood cell while flowing in a shear flow with a purely elastic membrane model.

---

Parabolic flow

Membrane shape

Click on the following picture to watch the simulation of red blood cell deformation in parabolic flow with a purely elastic membrane model.

In-plane isotropic membrane tension

Click on the image below to watch a video demonstrating how the tension in a red blood cell's membrane varies while flowing in a parabolic flow with a purely elastic membrane model.

Fluid flow field inside and outside of a red blood cell

Click on the image below to watch a video illustrating the flow field around a red blood cell while flowing in a parabolic flow with a purely elastic membrane model.

---

Viscoelastic membrane model

---

Simple shear flow

Membrane shape

Click on the following picture to watch the simulation of red blood cell deformation in shear flow with a viscoelastic membrane model.

In-plane isotropic membrane tension

Click on the image below to watch a video demonstrating how the tension in a red blood cell's membrane varies while flowing in a shear flow with a viscoelastic membrane model.

Fluid flow field inside and outside of a red blood cell

Click on the image below to watch a video illustrating the flow field around a red blood cell while flowing in a shear flow with a viscoelastic membrane model.

---

Parabolic flow

Membrane shape

Click on the following picture to watch the simulation of red blood cell deformation in parabolic flow with a viscoelastic membrane model.

In-plane isotropic membrane tension

Click on the image below to watch a video demonstrating how the tension in a red blood cell's membrane varies while flowing in a parabolic flow with a viscoelastic membrane model.

Fluid flow field inside and outside of a red blood cell

Click on the image below to watch a video illustrating the flow field around a red blood cell while flowing in a parabolic flow with a viscoelastic membrane model.

---

Citation

@phdthesis{gurbuz2021Thesis,
    title={Simulations of Red Blood Cell Flow by Boundary Integral Methods},
    author={G\"urb\"uz, Ali},
    year={2021},
    school={State University of New York at Buffalo}
}

@software{SpectralBoundaryIntegralMethod_m,
  author       = {Ali G\"urb\"uz},
  title        = {SpectralBoundaryIntegralMethod.m},
  month        = Feb,
  year         = 2023,
  publisher    = {Zenodo},
  version      = {v1.1},
  doi          = {10.5281/zenodo.7668525},
  url          = {https://doi.org/10.5281/zenodo.7668525}
}