Numerical Simulation of Blood Flow in Human Artery Using (A, Q) and (A, u) Systems

International Conference on Information Technology and Digital Applications 2017

计算机科学

Mungkasi, Sudi^1 ; Budiawan, Inge Wijayanti^1

Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta

55002, Indonesia^1

关键词: Blood flow;    Cross sectional area;    Human artery;    Numerical scheme;    Numerical solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/325/1/012014/pdf
DOI  :  10.1088/1757-899X/325/1/012014

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

In this paper, we model blood flow in human artery in the form of (A, Q) and (A, u) systems, then we use the Lax-Friedrichs finite volume method to find the numerical solution of each model. Here A represents the cross sectional area of the artery, Q denotes the discharge of the blood flow, and u is the velocity of the blood flow. We simulate the numerical scheme of each model and investigate how the blood pressure pulse propagates in human artery. Particularly, we use the residual of A to determine which system is better numerically. We obtain that the (A, Q) system is better numerically than the (A, u) system, because the absolute of the residual of A using the (A, Q) system is smaller than the absolute of the residual of ? using the (A, u) system.