An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions

@article{Nobile2008AnEF,
  title={An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions},
  author={Fabio Nobile and Christian Vergara},
  journal={SIAM J. Scientific Computing},
  year={2008},
  volume={30},
  pages={731-763}
}
In this work we focus on the modeling and numerical simulation of the fluid-structure interaction mechanism in vascular dynamics. We first propose a simple membrane model to describe the deformation of the arterial wall, which is derived from the Koiter shell equations and is applicable to an arbitrary geometry. Secondly, we consider a reformulation of the fluid-structure problem, in which the newly derived membrane model, thanks to its simplicity, is embedded into the fluid equations and will… CONTINUE READING
60 Citations
53 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 60 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 53 references

Mathematical modelling and numerical simulation of the cardiovascular system

  • A. Quarteroni, L. Formaggia
  • Modelling of Living Systems, Handbook of…
  • 2003
Highly Influential
4 Excerpts

Numerical Approximation of Fluid-Structure Interaction Problems with Application to Haemodynamics

  • F. Nobile
  • Ph.D. thesis, h0 2458, Ecole Polytechnique…
  • 2001
Highly Influential
6 Excerpts

On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels

  • L. Formaggia, J. F. Gerbeau, F. Nobile, A. Quarteroni
  • Comput. Methods Appl. Mech. Engrg., 191
  • 2001
Highly Influential
7 Excerpts

A stability analysis for the arbitrary Lagrangian Eulerian formulation with finite elements

  • L. Formaggia, F. Nobile
  • East-West J. Numer. Math., 7
  • 1999
Highly Influential
4 Excerpts

Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flow

  • C. Förster, W. Wall, E. Ramm
  • Comput. Methods Appl. Mech. Engrg., 196
  • 2007
2 Excerpts

A projection algorithm for fluidstructure interaction problems with strong added-mass effect

  • M. A. Fernández, J. F. Gerbeau, C. Grandmont
  • C. R. Acad. Sci. Paris., 342
  • 2006
1 Excerpt

Similar Papers

Loading similar papers…