Fluid-structure partitioned procedures based on Robin transmission conditions

Authors:
Santiago Badia;Fabio Nobile;Christian Vergara
Affiliations:
CIMNE, Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain;MOX - Dipartimento di Matematica "F. Brioschi" - Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy;MOX - Dipartimento di Matematica "F. Brioschi" - Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy and Department of Information Technology and Mathematical Methods, Universi ...
Venue:
Journal of Computational Physics
Year:
2008

Citing 3
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Abstract

In this article we design new partitioned procedures for fluid-structure interaction problems, based on Robin-type transmission conditions. The choice of the coefficient in the Robin conditions is justified via simplified models. The strategy is effective whenever an incompressible fluid interacts with a relatively thin membrane, as in hemodynamics applications. We analyze theoretically the new iterative procedures on a model problem, which represents a simplified blood-vessel system. In particular, the Robin-Neumann scheme exhibits enhanced convergence properties with respect to the existing partitioned procedures. The theoretical results are checked using numerical experimentation.