计算单个血管血液动力学的平衡特性法

IF 0.8 4区数学 Q2 MATHEMATICS

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

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

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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。

Balance-Characteristic Method for Calculating Hemodynamics of a Single Vessel

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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.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.