Fluid-structure partitioned procedures based on Robin transmission conditions
By Santiago Badia, Fabio Nobile, Christian Vergara. Journal of Computational Physics, 2008
316 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/75a380e33a472cf70b9eaea7ba1bd8345e7a9b77
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In Applied Mathematics
In Computational Mechanics
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- Jin Wang
- Anita T. Layton
- G. Em Karniadakis
- H. Baek
- Volker John
Citations in the corpus
- Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “These three methods are described below, along with the work on Robin Transmission conditions by Badia et al. (2008). https://doi.org/10.4208/cicp.291210.290411s Published online by Cambridge University Press Second-order accuracy without sub-iterations Farhat et al. (2006) proposed two algorithms…”
- Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility (2009, background): “…and solid densities, σ(u, p) def= −pI + 2µ (u) and σs(η) for the fluid and solid stress tensors, µ for the fluid dynamic viscosity, (u) def= 12 ( ∇u+ ∇uT ) for the fluid strain rate tensor, ū for a given velocity profile, g for a given surface load and n,ns for the exterior unit normal vectors on…”