Codice | 23/2012 |
Titolo | Partitioned algorithms for fluid-structure interaction problems in haemodynamics |
Data | 2012-05-15 |
Autore/i | Fabio Nobile, Christian Vergara |
Link | Download full text |
Abstract | We consider the fluid-structure interaction problem arising in
haemodynamic applications. The finite elasticity equations
for the vessel are written in Lagrangian form,
while the Navier-Stokes equations for the blood in Arbitrary
Lagrangian Eulerian form. The resulting three fields problem
(fluid/ structure/ fluid domain) is formalized via the introduction of
three Lagrange multipliers and consistently discretized by p-th order backward differentiation
formulae (BDFp).
We focus on partitioned algorithms for its numerical solution, which
consist in the successive solution of the three subproblems. We review
several strategies that all rely on the exchange of Robin interface
conditions and review their performances reported recently in the literature.
We also analyze the stability of explicit partitioned procedures and
convergence of iterative implicit partitioned procedures on a simple
linear FSI problem for a general BDFp temporal discretizations. |
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