Finite volume numerical solution to a blood flow problem in human artery

International Conference on Science and Applied Science (Engineering and Educational Science) 2016

物理学;工业技术;教育

Budiawan, Inge Wijayanti^1 ; Mungkasi, Sudi^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;    Blood flow modeling;    Discontinuous solutions;    Human artery;    Hyperbolic partial differential equation;    Non linear;    Numerical solution;    Time-periods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/795/1/012042/pdf
DOI  :  10.1088/1742-6596/795/1/012042

来源: IOP

【 摘 要 】

In this paper, we solve a one dimensional blood flow model in human artery. This model is of a non-linear hyperbolic partial differential equation system which can generate either continuous or discontinuous solution. We use the Lax-Friedrichs finite volume method to solve this model. Particularly, we investigate how a pulse propagates in human artery. For this simulation, we give a single sine wave with a small time period as an impluse input on the left boundary. The finite volume method is successful in simulating how the pulse propagates in the artery. It detects the positions of the pulse for the whole time period.