2023/05/26 by Aymen Laadhari, Laadhari, Aymen, Ahmad Deeb +1
Engineering · Medicine · #Fluid Dynamics and Turbulent Flows #Blood properties and coagulation #Lattice Boltzmann Simulation Studies
paper · pdf · doi:10.48550/arxiv.2305.17226
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.