Volume 35, Issue 3
A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics

Davide Forti, A. Quarteroni & Simone Deparis

J. Comp. Math., 35 (2017), pp. 363-380.

Published online: 2017-06

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  • Abstract

In this work we address the numerical solution of large scale fluid-structure interaction problems when nonconforming grids and/or nonconforming finite elements discretizations are used at the interface separating the fluid and structure physical domains. To deal with nonconforming fluid-structure discretizations we use the INTERNODES method (INTER-polation for NOnconforming DEcompositionS) formerly introduced in [6] for the solution of elliptic PDEs on nonconforming domain decomposition. To cope with the high computational complexity of the three dimensional FSI problem obtained after spatial and temporal discretization, we use the block parallel preconditioner FaCSI [7]. A numerical investigation of the accuracy properties of INTERNODES applied to the nonconforming FSI problem is carried out for the simulation of the pressure wave propagation in a straight elastic cylinder. Finally, we study the scalability performance of the FaCSI preconditioner in the nonconforming case by solving a large-scale nonconforming FSI problem in a patient-specific arterial bypass.

  • Keywords

Fluid-Structure Interaction, Domain Decomposition, Nonconforming discretizations, INTERNODES, Biomechanics, Parallel Preconditioners, High Performance Computing.

  • AMS Subject Headings

74F10, 65M55.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

davide.forti@epfl.ch (Davide Forti)

alfio.quarteroni@epfl.ch (A. Quarteroni)

simone.deparis@epfl.ch (Simone Deparis)

  • BibTex
  • RIS
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@Article{JCM-35-363, author = {Forti , Davide and Quarteroni , A. and Deparis , Simone }, title = {A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics}, journal = {Journal of Computational Mathematics}, year = {2017}, volume = {35}, number = {3}, pages = {363--380}, abstract = {

In this work we address the numerical solution of large scale fluid-structure interaction problems when nonconforming grids and/or nonconforming finite elements discretizations are used at the interface separating the fluid and structure physical domains. To deal with nonconforming fluid-structure discretizations we use the INTERNODES method (INTER-polation for NOnconforming DEcompositionS) formerly introduced in [6] for the solution of elliptic PDEs on nonconforming domain decomposition. To cope with the high computational complexity of the three dimensional FSI problem obtained after spatial and temporal discretization, we use the block parallel preconditioner FaCSI [7]. A numerical investigation of the accuracy properties of INTERNODES applied to the nonconforming FSI problem is carried out for the simulation of the pressure wave propagation in a straight elastic cylinder. Finally, we study the scalability performance of the FaCSI preconditioner in the nonconforming case by solving a large-scale nonconforming FSI problem in a patient-specific arterial bypass.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1702-m2016-0630}, url = {http://global-sci.org/intro/article_detail/jcm/9777.html} }
TY - JOUR T1 - A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics AU - Forti , Davide AU - Quarteroni , A. AU - Deparis , Simone JO - Journal of Computational Mathematics VL - 3 SP - 363 EP - 380 PY - 2017 DA - 2017/06 SN - 35 DO - http://doi.org/10.4208/jcm.1702-m2016-0630 UR - https://global-sci.org/intro/article_detail/jcm/9777.html KW - Fluid-Structure Interaction, Domain Decomposition, Nonconforming discretizations, INTERNODES, Biomechanics, Parallel Preconditioners, High Performance Computing. AB -

In this work we address the numerical solution of large scale fluid-structure interaction problems when nonconforming grids and/or nonconforming finite elements discretizations are used at the interface separating the fluid and structure physical domains. To deal with nonconforming fluid-structure discretizations we use the INTERNODES method (INTER-polation for NOnconforming DEcompositionS) formerly introduced in [6] for the solution of elliptic PDEs on nonconforming domain decomposition. To cope with the high computational complexity of the three dimensional FSI problem obtained after spatial and temporal discretization, we use the block parallel preconditioner FaCSI [7]. A numerical investigation of the accuracy properties of INTERNODES applied to the nonconforming FSI problem is carried out for the simulation of the pressure wave propagation in a straight elastic cylinder. Finally, we study the scalability performance of the FaCSI preconditioner in the nonconforming case by solving a large-scale nonconforming FSI problem in a patient-specific arterial bypass.

Davide Forti, A. Quarteroni & Simone Deparis. (2020). A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics. Journal of Computational Mathematics. 35 (3). 363-380. doi:10.4208/jcm.1702-m2016-0630
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