# Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions

Simone Deparis; Miguel Angel Fernández; Luca Formaggia

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 4, page 601-616
- ISSN: 0764-583X

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topDeparis, Simone, Fernández, Miguel Angel, and Formaggia, Luca. "Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions." ESAIM: Mathematical Modelling and Numerical Analysis 37.4 (2010): 601-616. <http://eudml.org/doc/194180>.

@article{Deparis2010,

abstract = {
In this work, we address the numerical solution of fluid-structure
interaction problems. This issue is particularly difficulty to tackle
when the fluid and the solid densities are of the same order, for
instance as it happens in hemodynamic applications, since fully
implicit coupling schemes are required to ensure stability of the
resulting method. Thus, at each time step, we have to solve a highly
non-linear coupled system, since the fluid domain depends on the
unknown displacement of the structure. Standard strategies for solving
this non-linear problems, are fixed point based methods such as
Block-Gauss-Seidel (BGS) iterations. Unfortunately, these methods are
very CPU time consuming and usually show slow convergence. We propose
a modified fixed-point algorithm which combines the standard BGS
iterations with a transpiration formulation. Numerical experiments
show the great improvement in computing time with respect to the
standard BGS method.
},

author = {Deparis, Simone, Fernández, Miguel Angel, Formaggia, Luca},

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

keywords = {Fluid-structure interaction; Block-Gauss-Seidel
iterations; transpiration; highly coupled non-linear problems;
weak and strong coupling algorithms; partitioned procedures.; Block-Gauss-Seidel iterations; highly coupled nonlinear problems; weak and strong coupling algorithms; partitioned procedures},

language = {eng},

month = {3},

number = {4},

pages = {601-616},

publisher = {EDP Sciences},

title = {Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions},

url = {http://eudml.org/doc/194180},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Deparis, Simone

AU - Fernández, Miguel Angel

AU - Formaggia, Luca

TI - Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 4

SP - 601

EP - 616

AB -
In this work, we address the numerical solution of fluid-structure
interaction problems. This issue is particularly difficulty to tackle
when the fluid and the solid densities are of the same order, for
instance as it happens in hemodynamic applications, since fully
implicit coupling schemes are required to ensure stability of the
resulting method. Thus, at each time step, we have to solve a highly
non-linear coupled system, since the fluid domain depends on the
unknown displacement of the structure. Standard strategies for solving
this non-linear problems, are fixed point based methods such as
Block-Gauss-Seidel (BGS) iterations. Unfortunately, these methods are
very CPU time consuming and usually show slow convergence. We propose
a modified fixed-point algorithm which combines the standard BGS
iterations with a transpiration formulation. Numerical experiments
show the great improvement in computing time with respect to the
standard BGS method.

LA - eng

KW - Fluid-structure interaction; Block-Gauss-Seidel
iterations; transpiration; highly coupled non-linear problems;
weak and strong coupling algorithms; partitioned procedures.; Block-Gauss-Seidel iterations; highly coupled nonlinear problems; weak and strong coupling algorithms; partitioned procedures

UR - http://eudml.org/doc/194180

ER -

## References

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