Computational analysis of one-dimensional models for simulation of blood flow in vascular networks

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Computational analysis of one-dimensional models for simulation of blood flow in vascular networks. / Krivovichev, Gerasim V.

In: Journal of Computational Science, Vol. 62, 101705, 01.07.2022.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{f899dd383b264a53b1e604d0fa134449,

title = "Computational analysis of one-dimensional models for simulation of blood flow in vascular networks",

abstract = "The paper is devoted to the comparison of one-dimensional models, used for the simulation of blood flow in elastic vessels. The inviscid, Newtonian, and non-Newtonian models of blood are considered. The one-dimensional non-Newtonian models, corresponding to widely-used rheological models with shear-dependent viscosity (Power Law, Carreau, Carreau–Yasuda, Cross, simplified Cross, modified Cross, Powell–Eyring, modified Powell–Eyring, Yeleswarapu, modified Yeleswarapu, and Quemada) are presented. The attention is focused on the investigation of the influence of viscosity, shape factor, velocity profile, non-Newtonian viscosity, and hematocrit. In the numerical experiments, the models of arterial systems with twenty and thirty-seven vessels are considered. It is demonstrated, that for the vessels near the heart the effect of viscosity can be considered as inessential, and an inviscid model can be used. The main effect on the relative deviations of solutions, obtained by different models, is realized by the velocity profile. The effect of non-Newtonian viscosity is not so essential, but can be taken into account for the models with peripheral vessels.",

keywords = "Blood flow, One-dimensional model, Shear-dependent viscosity",

author = "Krivovichev, {Gerasim V.}",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",

year = "2022",

month = jul,

day = "1",

doi = "10.1016/j.jocs.2022.101705",

language = "English",

volume = "62",

journal = "Journal of Computational Science",

issn = "1877-7503",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Computational analysis of one-dimensional models for simulation of blood flow in vascular networks

AU - Krivovichev, Gerasim V.

PY - 2022/7/1

Y1 - 2022/7/1

N2 - The paper is devoted to the comparison of one-dimensional models, used for the simulation of blood flow in elastic vessels. The inviscid, Newtonian, and non-Newtonian models of blood are considered. The one-dimensional non-Newtonian models, corresponding to widely-used rheological models with shear-dependent viscosity (Power Law, Carreau, Carreau–Yasuda, Cross, simplified Cross, modified Cross, Powell–Eyring, modified Powell–Eyring, Yeleswarapu, modified Yeleswarapu, and Quemada) are presented. The attention is focused on the investigation of the influence of viscosity, shape factor, velocity profile, non-Newtonian viscosity, and hematocrit. In the numerical experiments, the models of arterial systems with twenty and thirty-seven vessels are considered. It is demonstrated, that for the vessels near the heart the effect of viscosity can be considered as inessential, and an inviscid model can be used. The main effect on the relative deviations of solutions, obtained by different models, is realized by the velocity profile. The effect of non-Newtonian viscosity is not so essential, but can be taken into account for the models with peripheral vessels.

AB - The paper is devoted to the comparison of one-dimensional models, used for the simulation of blood flow in elastic vessels. The inviscid, Newtonian, and non-Newtonian models of blood are considered. The one-dimensional non-Newtonian models, corresponding to widely-used rheological models with shear-dependent viscosity (Power Law, Carreau, Carreau–Yasuda, Cross, simplified Cross, modified Cross, Powell–Eyring, modified Powell–Eyring, Yeleswarapu, modified Yeleswarapu, and Quemada) are presented. The attention is focused on the investigation of the influence of viscosity, shape factor, velocity profile, non-Newtonian viscosity, and hematocrit. In the numerical experiments, the models of arterial systems with twenty and thirty-seven vessels are considered. It is demonstrated, that for the vessels near the heart the effect of viscosity can be considered as inessential, and an inviscid model can be used. The main effect on the relative deviations of solutions, obtained by different models, is realized by the velocity profile. The effect of non-Newtonian viscosity is not so essential, but can be taken into account for the models with peripheral vessels.

KW - Blood flow

KW - One-dimensional model

KW - Shear-dependent viscosity

UR - http://www.scopus.com/inward/record.url?scp=85130257616&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/9c086a8e-e49d-3da1-b53e-93ece6efe61a/

U2 - 10.1016/j.jocs.2022.101705

DO - 10.1016/j.jocs.2022.101705

M3 - Article

AN - SCOPUS:85130257616

VL - 62

JO - Journal of Computational Science

JF - Journal of Computational Science

SN - 1877-7503

M1 - 101705

ER -

ID: 95412008