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• W2152102493 abstract "We consider the coupling between three-dimensional (3D) and one-dimensional (1D) fluid-structure 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." @default.
• W2152102493 created "2016-06-24" @default.
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• W2152102493 date "2007-07-01" @default.
• W2152102493 modified "2023-10-15" @default.
• W2152102493 title "On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations" @default.
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• W2152102493 doi "https://doi.org/10.1051/m2an:2007039" @default.
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