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Computational Mechanics
Erschienen in: Computational Mechanics 5/2013

01.11.2013 | Original Paper

A new preconditioning technique for implicitly coupled multidomain simulations with applications to hemodynamics

verfasst von: Mahdi Esmaily-Moghadam, Yuri Bazilevs, Alison L. Marsden

Erschienen in: Computational Mechanics | Ausgabe 5/2013

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Abstract

In cardiovascular blood flow simulations a large portion of computational resources is dedicated to solve the linear system of equations. Boundary conditions in these applications are critical for obtaining accurate and physiologically realistic solutions, and pose numerical challenges due to the coupling between flow and pressure. Using an implicit time integration setting can lead to an ill-conditioned tangent matrix that causes deterioration in performance of traditional iterative linear equation solvers (LS). In this paper we present a novel and efficient preconditioner (PC) for this class of problems that exploits the strong coupling between the flow and pressure. We implement this PC in a LS algorithm designed for solving systems of equations governing incompressible flows. Excellent efficiency and stability properties of the proposed method are illustrated on a set of clinically relevant hemodynamics simulations.
Vorheriger Artikel Self-consistent linearization of non-linear BEM formulations with quadratic convergence
Nächster Artikel Approximation of incompressible large deformation elastic problems: some unresolved issues

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Metadaten
Titel
A new preconditioning technique for implicitly coupled multidomain simulations with applications to hemodynamics
verfasst von
Mahdi Esmaily-Moghadam
Yuri Bazilevs
Alison L. Marsden
Publikationsdatum
01.11.2013
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 5/2013
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0868-1

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