# Numerical simulation of a pulsatile flow through a flexible channel

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

- Volume: 40, Issue: 6, page 1101-1125
- ISSN: 0764-583X

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topMurea, Cornel Marius. "Numerical simulation of a pulsatile flow through a flexible channel." ESAIM: Mathematical Modelling and Numerical Analysis 40.6 (2007): 1101-1125. <http://eudml.org/doc/194346>.

@article{Murea2007,

abstract = {
An algorithm for approximation of an unsteady fluid-structure interaction problem is
proposed. The fluid is governed by the Navier-Stokes equations with boundary conditions
on pressure, while for the structure a particular plate model is used.
The algorithm is based on the modal decomposition and the Newmark Method for the structure
and on the Arbitrary Lagrangian Eulerian coordinates and the Finite Element Method for
the fluid.
In this paper, the continuity of the stresses at the interface was treated by the
Least Squares Method. At each time step we have to solve an optimization problem
which permits us to use moderate time step.
This is the main advantage of this approach.
In order to solve the optimization problem,
we have employed the Broyden, Fletcher, Goldforb, Shano Method where
the gradient of the cost function was approached by the Finite Difference Method.
Numerical results are presented.
},

author = {Murea, Cornel Marius},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Fluid-structure interaction; Navier-Stokes equations;
Arbitrary Lagrangian Eulerian Method.; fluid-structure interaction; arbitrary Lagrangian Eulerian method.},

language = {eng},

month = {2},

number = {6},

pages = {1101-1125},

publisher = {EDP Sciences},

title = {Numerical simulation of a pulsatile flow through a flexible channel},

url = {http://eudml.org/doc/194346},

volume = {40},

year = {2007},

}

TY - JOUR

AU - Murea, Cornel Marius

TI - Numerical simulation of a pulsatile flow through a flexible channel

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2007/2//

PB - EDP Sciences

VL - 40

IS - 6

SP - 1101

EP - 1125

AB -
An algorithm for approximation of an unsteady fluid-structure interaction problem is
proposed. The fluid is governed by the Navier-Stokes equations with boundary conditions
on pressure, while for the structure a particular plate model is used.
The algorithm is based on the modal decomposition and the Newmark Method for the structure
and on the Arbitrary Lagrangian Eulerian coordinates and the Finite Element Method for
the fluid.
In this paper, the continuity of the stresses at the interface was treated by the
Least Squares Method. At each time step we have to solve an optimization problem
which permits us to use moderate time step.
This is the main advantage of this approach.
In order to solve the optimization problem,
we have employed the Broyden, Fletcher, Goldforb, Shano Method where
the gradient of the cost function was approached by the Finite Difference Method.
Numerical results are presented.

LA - eng

KW - Fluid-structure interaction; Navier-Stokes equations;
Arbitrary Lagrangian Eulerian Method.; fluid-structure interaction; arbitrary Lagrangian Eulerian method.

UR - http://eudml.org/doc/194346

ER -

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