Fluid structure interaction problems in large deformation

Patrick Le Tallec; Jean Frédéric Gerbeau; Patrice Hauret; Marina Vidrascu

doi:10.1016/j.crme.2005.10.009

Fluid structure interaction problems in large deformation

Patrick Le Tallec
, Jean Frédéric Gerbeau
, Patrice Hauret
, Marina Vidrascu

Research output: Contribution to journal › Short survey › peer-review

Abstract

The present article deals with the simulation of fluid structure interaction problems in large deformation, and discusses two aspects of their numerical solution: (i) the derivation of energy conserving time integration schemes in presence of fluid structure coupling, moving grids, and nonlinear kinematic constraints such as incompressibility and contact, (ii) the introduction of adequate preconditioners efficiently chaining local fluid and structure solvers. Solutions are proposed, analyzed and tested using nonlinear energy correcting terms, and added mass based Dirichlet Neumann preconditioners. Numerical applications include nonlinear impact problems in elastodynamics and blood flows predictions within flexible arteries. To cite this article: P. Le Tallec et al., C. R. Mecanique 333 (2005).

Original language	English
Pages (from-to)	910-922
Number of pages	13
Journal	Comptes Rendus - Mecanique
Volume	333
Issue number	12
DOIs	https://doi.org/10.1016/j.crme.2005.10.009
Publication status	Published - 1 Jan 2005

Keywords

Added mass
Computational fluid mechanics
Energy conservation
Fluid structure interaction
Nonlinear elastodynamics
Preconditioner
Time integration

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.crme.2005.10.009

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@article{7232760a10e440aba9b9894af5cc47a5,

title = "Fluid structure interaction problems in large deformation",

abstract = "The present article deals with the simulation of fluid structure interaction problems in large deformation, and discusses two aspects of their numerical solution: (i) the derivation of energy conserving time integration schemes in presence of fluid structure coupling, moving grids, and nonlinear kinematic constraints such as incompressibility and contact, (ii) the introduction of adequate preconditioners efficiently chaining local fluid and structure solvers. Solutions are proposed, analyzed and tested using nonlinear energy correcting terms, and added mass based Dirichlet Neumann preconditioners. Numerical applications include nonlinear impact problems in elastodynamics and blood flows predictions within flexible arteries. To cite this article: P. Le Tallec et al., C. R. Mecanique 333 (2005).",

keywords = "Added mass, Computational fluid mechanics, Energy conservation, Fluid structure interaction, Nonlinear elastodynamics, Preconditioner, Time integration",

author = "\{Le Tallec\}, Patrick and Gerbeau, \{Jean Fr{\'e}d{\'e}ric\} and Patrice Hauret and Marina Vidrascu",

year = "2005",

month = jan,

day = "1",

doi = "10.1016/j.crme.2005.10.009",

language = "English",

volume = "333",

pages = "910--922",

journal = "Comptes Rendus - Mecanique",

issn = "1631-0721",

number = "12",

}

TY - JOUR

T1 - Fluid structure interaction problems in large deformation

AU - Le Tallec, Patrick

AU - Gerbeau, Jean Frédéric

AU - Hauret, Patrice

AU - Vidrascu, Marina

PY - 2005/1/1

Y1 - 2005/1/1

N2 - The present article deals with the simulation of fluid structure interaction problems in large deformation, and discusses two aspects of their numerical solution: (i) the derivation of energy conserving time integration schemes in presence of fluid structure coupling, moving grids, and nonlinear kinematic constraints such as incompressibility and contact, (ii) the introduction of adequate preconditioners efficiently chaining local fluid and structure solvers. Solutions are proposed, analyzed and tested using nonlinear energy correcting terms, and added mass based Dirichlet Neumann preconditioners. Numerical applications include nonlinear impact problems in elastodynamics and blood flows predictions within flexible arteries. To cite this article: P. Le Tallec et al., C. R. Mecanique 333 (2005).

AB - The present article deals with the simulation of fluid structure interaction problems in large deformation, and discusses two aspects of their numerical solution: (i) the derivation of energy conserving time integration schemes in presence of fluid structure coupling, moving grids, and nonlinear kinematic constraints such as incompressibility and contact, (ii) the introduction of adequate preconditioners efficiently chaining local fluid and structure solvers. Solutions are proposed, analyzed and tested using nonlinear energy correcting terms, and added mass based Dirichlet Neumann preconditioners. Numerical applications include nonlinear impact problems in elastodynamics and blood flows predictions within flexible arteries. To cite this article: P. Le Tallec et al., C. R. Mecanique 333 (2005).

KW - Added mass

KW - Computational fluid mechanics

KW - Energy conservation

KW - Fluid structure interaction

KW - Nonlinear elastodynamics

KW - Preconditioner

KW - Time integration

U2 - 10.1016/j.crme.2005.10.009

DO - 10.1016/j.crme.2005.10.009

M3 - Short survey

AN - SCOPUS:28844445900

SN - 1631-0721

VL - 333

SP - 910

EP - 922

JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

IS - 12

ER -

Fluid structure interaction problems in large deformation

Abstract

Keywords

UN SDGs

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