A black‐box decomposition approach for coupling heterogeneous components in hemodynamics simulations. (6th November 2012)

• Record Type: Journal Article
• Authors: Blanco, Pablo J.; Leiva, Jorge S.; Buscaglia, Gustavo C.
• Is Part Of: International journal for numerical methods in biomedical engineering. Volume 29:Number 3(2013:Mar.)
• Page Start: 408
• Page End: 427
• Publication Date: 2012-11-06
• Subjects: Biomedical engineering -- Periodicals; Imaging systems in medicine -- Periodicals; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 610.28
• DOI: 10.1002/cnm.2519
• Languages: English
• ISSNs: 2040-7939

Abstract

<abstract abstract-type="main" id="cnm2519-abs-0001"> <title>SUMMARY</title> <p id="cnm2519-para-0001">This work presents a generic and efficient black‐box approach for the strong iterative coupling of dimensionally heterogeneous flow models in computational hemodynamics. A heterogeneous model of the cardiovascular system is formed by several vascular black‐box components, which are connected through coupling equations. The associated system of equations is solved using the Broyden algorithm. In addition, a multiple time‐stepping strategy is introduced to meet different component requirements. The proposed algorithm is employed to split a 3D–1D–0D closed‐loop model of the cardiovascular system into corresponding black‐box components standing for the 3D (specific vessels), 1D (systemic arteries/peripheral vessels), and 0D (venous/cardiac/pulmonary circulation) components. Examples of application are presented showing the robustness and suitability of this novel approach. Copyright © 2012 John Wiley &amp; Sons, Ltd.</p> </abstract>