Consistent treatment of viscoelastic effects at junctions in one-dimensional blood flow models

JOURNAL OF COMPUTATIONAL PHYSICS

卷:314

Article

Muller, Lucas O.^1,2  Leugering, Guenter³  Blanco, Pablo J.^1,2 

[1] LNCC MCTI, Natl Lab Sci Comp, Dept Comp Sci, Av Getulio Vargas 333, BR-25651075 Petropolis, RJ, Brazil

[2] Inst Sci & Technol Med Assisted Sci Comp, INCT MACC, Petropolis, Brazil

[3] Univ Erlangen Nurnberg, Inst Appl Math 2, D-91054 Erlangen, Germany

关键词: Finite volume schemes;    Viscoelasticity;    Junctions;    One-dimensional blood flow;   

DOI  :  10.1016/j.jcp.2016.03.012

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free