Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 227, Issue 14, Pages 7027-7051Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2008.04.006
Keywords
fluid-structure interaction; partitioned procedures; transmission conditions; Robin boundary conditions; added-mass effect; hemodynamics
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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. (C) 2008 Elsevier Inc. All rights reserved.
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