engleski

Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation

Fluid–structure interaction (FSI) problems arise in many applications. They include multi-physics problems in engineering such as aeroelasticity and propeller turbines, as well as biofluidic application such as self-propulsion organisms, fluid–cell interactions, and the interaction between blood flow and cardiovascular tissue. A comprehensive study of these problems remains to be a challenge due to their strong nonlinearity and multi-physics nature. To make things worse, in many biological applications the structure is composed of several layers, each with different mechanical characteristics. This is, for example, the case with arterial walls, which are composed of three main layers: the intima, media, and adventitia, separated by thin elastic laminae. A stable and efficient FSI solver that simulates the interaction between an incompressible, viscous fluid and a multi-layered structure would be an indispensable tool for the computational studies of solutions. The multi-physics nature of this class of problems suggests the use of partitioned, modular algorithms based on an operator splitting approach that would separate the different physics in the problem. This chapter presents such a scheme, which can be used not only in computations, but also to prove existence of weak solutions to this class of problems. Particular attention will be payed to multi-physics FSI problems involving structures consisting of multiple layers.

Aeroelasticity, ALE method, Biomechanics of voice, Compressible flow, Coupling algorithm, Discontinuous Galerkin method, Dynamic elasticity problem, Fluid–structure interaction, Navier–Stokes equations, Stabilized finite element method, Time and space discretization, Two degrees of freedom model, Vocal folds

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