V. M. Goloviznin, V. V. Konoplyanikov, P. A. Maiorov, S. I. Mukhin
{"title":"Balance-Characteristic Method for Calculating Hemodynamics of a Single Vessel","authors":"V. M. Goloviznin, V. V. Konoplyanikov, P. A. Maiorov, S. I. Mukhin","doi":"10.1134/s0012266124030108","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> The paper is devoted to constructing a numerical algorithm for calculating the blood flow\nin a volume vessel. A system of differential equations describing the dynamics of fluid in a single\nvessel with moving walls in cylindrical coordinates is derived assuming axial symmetry in\narbitrary Eulerian-Lagrangian variables. A balance-characteristic scheme based on the Cabaret\nmethodology is constructed for the obtained system of equations. The results of calculations of\ntest problems are given.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124030108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The paper is devoted to constructing a numerical algorithm for calculating the blood flow
in a volume vessel. A system of differential equations describing the dynamics of fluid in a single
vessel with moving walls in cylindrical coordinates is derived assuming axial symmetry in
arbitrary Eulerian-Lagrangian variables. A balance-characteristic scheme based on the Cabaret
methodology is constructed for the obtained system of equations. The results of calculations of
test problems are given.
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