Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models
Müller L, Leugering G, Blanco PJ (2016)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2016
Journal
Publisher: Elsevier
Book Volume: 314
Pages Range: 167-193
URI: http://www.sciencedirect.com/science/article/pii/S0021999116001649
DOI: 10.1016/j.jcp.2016.03.012
Abstract
While the numerical discretization of one-dimensional blood flow models for vessels with viscoelastic wall properties is widely established, there is still no clear approach on how to couple one-dimensional segments that compose a network of viscoelastic vessels. In particular for Voigt-type viscoelastic models, assumptions with regard to boundary conditions have to be made, which normally result in neglecting the viscoelastic effect at the edge of vessels. Here we propose a coupling strategy that takes advantage of a hyperbolic reformulation of the original model and the inherent information of the resulting system. We show that applying proper coupling conditions is fundamental for preserving the physical coherence and numerical accuracy of the solution in both academic and physiologically relevant cases. (C) 2016 Elsevier Inc. All rights reserved.
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APA:
Müller, L., Leugering, G., & Blanco, P.J. (2016). Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models. Journal of Computational Physics, 314, 167-193. https://dx.doi.org/10.1016/j.jcp.2016.03.012
MLA:
Müller, Lukas, Günter Leugering, and Pablo J. Blanco. "Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models." Journal of Computational Physics 314 (2016): 167-193.
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