Formaggia, LucaMoura, AlexandraNobile, Fabio2012-04-232012-04-232012-04-23200710.1051/m2an:2007039https://infoscience.epfl.ch/handle/20.500.14299/79564We consider the coupling between three-dimensional (3D) and one-dimensional (1D)fluidstructure interaction (FSI) models describing blood flow inside compliant vessels. The 1D model is a hyperbolic system of partial differential equations. The 3D model consists of the Navier-Stokes equations for incompressible Newtonian fluids coupled with a model for the vessel wall dynamics. A non standard formulation for the Navier-Stokes equations is adopted to have suitable boundary conditions for the coupling of the models. With this we derive an energy estimate for the fully 3D-1D FSI coupling. We consider several possible models for the mechanics of the vessel wall in the 3D problem and show how the 3D-1D coupling depends on them. Several comparative numerical tests illustrating the coupling are presented.fluid-structure interaction3D-1D FSI couplingenergy estimatemultiscale modelsNavier-Stokes EquationsBoundary-ConditionsArterial NetworksMechanicsPressuretext::journal::journal article::research article