A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows

Jean-Frédéric Gerbeau; Marina Vidrascu

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 37, Issue: 4, page 631-647
  • ISSN: 0764-583X

Abstract

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We propose a quasi-Newton algorithm for solving fluid-structure interaction problems. The basic idea of the method is to build an approximate tangent operator which is cost effective and which takes into account the so-called added mass effect. Various test cases show that the method allows a significant reduction of the computational effort compared to relaxed fixed point algorithms. We present 2D and 3D fluid-structure simulations performed either with a simple 1D structure model or with shells in large displacements.

How to cite

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Gerbeau, Jean-Frédéric, and Vidrascu, Marina. "A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows." ESAIM: Mathematical Modelling and Numerical Analysis 37.4 (2010): 631-647. <http://eudml.org/doc/194182>.

@article{Gerbeau2010,
abstract = { We propose a quasi-Newton algorithm for solving fluid-structure interaction problems. The basic idea of the method is to build an approximate tangent operator which is cost effective and which takes into account the so-called added mass effect. Various test cases show that the method allows a significant reduction of the computational effort compared to relaxed fixed point algorithms. We present 2D and 3D fluid-structure simulations performed either with a simple 1D structure model or with shells in large displacements. },
author = {Gerbeau, Jean-Frédéric, Vidrascu, Marina},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Fluid-structure interaction; quasi-Newton algorithm; added mass effect; blood flows.; approximate tangent operator; added mass effect; shells; large displacements},
language = {eng},
month = {3},
number = {4},
pages = {631-647},
publisher = {EDP Sciences},
title = {A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows},
url = {http://eudml.org/doc/194182},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Gerbeau, Jean-Frédéric
AU - Vidrascu, Marina
TI - A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 4
SP - 631
EP - 647
AB - We propose a quasi-Newton algorithm for solving fluid-structure interaction problems. The basic idea of the method is to build an approximate tangent operator which is cost effective and which takes into account the so-called added mass effect. Various test cases show that the method allows a significant reduction of the computational effort compared to relaxed fixed point algorithms. We present 2D and 3D fluid-structure simulations performed either with a simple 1D structure model or with shells in large displacements.
LA - eng
KW - Fluid-structure interaction; quasi-Newton algorithm; added mass effect; blood flows.; approximate tangent operator; added mass effect; shells; large displacements
UR - http://eudml.org/doc/194182
ER -

References

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Citations in EuDML Documents

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  1. Simone Deparis, Miguel Angel Fernández, Luca Formaggia, Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
  2. Simone Deparis, Miguel Angel Fernández, Luca Formaggia, Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
  3. Luca Formaggia, Alexandra Moura, Fabio Nobile, On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
  4. Miguel A. Fernández, Jean-Frédéric Gerbeau, Vincent Martin, Numerical simulation of blood flows through a porous interface

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