计算单个血管血液动力学的平衡特性法

Pub Date : 2024-07-08 DOI:10.1134/s0012266124030108

V. M. Goloviznin, V. V. Konoplyanikov, P. A. Maiorov, S. I. Mukhin

{"title":"计算单个血管血液动力学的平衡特性法","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":"{\"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}","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

摘要

摘要本文致力于构建一种计算容积血管内血流的数值算法。在任意欧拉-拉格朗日变量的轴对称假设下，推导出了一个描述圆柱坐标下带移动壁的单容器中流体动力学的微分方程系。根据卡巴雷特方法，为得到的方程组构建了一个平衡特征方案。给出了测试问题的计算结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

摘要图片

查看原文

微信好友朋友圈 QQ好友复制链接

Balance-Characteristic Method for Calculating Hemodynamics of a Single Vessel

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助