A finite element approach for modeling biomembranes in incompressible power-law flow

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    Abstract

    We present a numerical method to model the dynamics of inextensible biomembranes in a quasi-Newtonian incompress-ible 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.

    Original languageBritish English
    Article number090006
    JournalAIP Conference Proceedings
    Volume3034
    Issue number1
    DOIs
    StatePublished - 5 Mar 2024
    Event9th International Conference on Modeling, Simulation and Applied Optimization, ICMSAO 2023 - Marrakesh, Morocco
    Duration: 26 Apr 202328 Apr 2023

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