In this work, we address the problem of fluid-structure interaction (FSI) with moving structures that may come into contact. We propose a penalization contact algorithm implemented in an unfitted numerical framework designed to treat large displacements. In the proposed method, the fluid mesh is fixed and the structure meshes are superimposed to it without any constraint on the conformity. Thanks to the Extended Finite Element Method (XFEM), we can treat discontinuities of the fluid solution on...
We consider the coupling between three-dimensional
(D) and one-dimensional (D) fluid-structure interaction
(FSI) models describing blood flow inside compliant vessels.
The D model is a hyperbolic
system of partial differential equations.
The D 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...
In this work, we address the numerical solution of fluid-structure interaction problems. This issue is particularly difficulty to tackle when the fluid and the solid densities are of the same order, for instance as it happens in hemodynamic applications, since fully implicit coupling schemes are required to ensure stability of the resulting method. Thus, at each time step, we have to solve a highly non-linear coupled system, since the fluid domain depends on the unknown displacement of the structure....
Subsurface flows are influenced by the presence of faults and large fractures which act as preferential paths or barriers for the flow. In literature models were proposed to handle fractures in a porous medium as objects of codimension 1. In this work we consider the case of a network of intersecting fractures, with the aim of deriving physically consistent and effective interface conditions to impose at the intersection between fractures. This new model accounts for the angle between fractures...
In this work, we address the numerical solution of fluid-structure
interaction problems. This issue is particularly difficulty to tackle
when the fluid and the solid densities are of the same order, for
instance as it happens in hemodynamic applications, since fully
implicit coupling schemes are required to ensure stability of the
resulting method. Thus, at each time step, we have to solve a highly
non-linear coupled system, since the fluid domain depends on the
unknown displacement of...
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