Abu Dhabi
+41 78 82 76625 (CH)
aymenlaadhari.official@gmail.com / laadhari@vision.ee.ethz.ch

ARTICLE 19

Professional website

ARTICLE 19

Aymen Laadhari, Ahmad Deeb.
A Finite Element Approach For Modeling Biomembranes In
Incompressible Power-Law Flow
. AIP Conference Proceedings. The 9th International Conference on Modeling, Simulation and Applied Optimization. Accepted, 2022.

    paper_rbc_22

We present a numerical method to model the dynamics of inextensible biomembranes in a quasi-Newtonian incompressible flow, which better describes hemorheology in the small vasculature. We consider a level set model for the fluid-membrane coupling, while the local inextensibility condition is relaxed by introducing a penalty term. The penalty method is straightforward to implement from any Navier-Stokes/level set solver and allows substantial computational savings over a mixed formulation. A
standard Galerkin finite element framework is used with an arbitrarily high order polynomial approximation for better accuracy in computing the bending force. The PDE system is solved using a partitioned strongly coupled scheme based on Crank-Nicolson time integration. Numerical experiments are provided to validate and assess the main features of the method.