# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Numerical solution of differential and integral equations*

## Computational techniques for blood flow through arteries

**Department of Mathematics & Statistics,**

University of Limerick (Ireland) (Limerick,

Ireland)
documentstyle[12pt]{article}
title{Computational techniques for blood flow through arteries}
author{A.R. Ansari, T. McGloughlin, G.I. Shishkin, M. Walsh}
date{}
begin{document}
maketitle

We develop a mathematical model based on flow of an incompressible
fluid through a pipe, which is driven by a pulsatile type pressure
gradient. Blood flow in arteries which are driven by a pulsatile
pressure gradient have wide applications in cardiovascular
surgery. This type of flow usually shows boundary layer phenomena,
this can be the source of difficulty for experimental study.
The layer thickness for such a problem can depends on the ratio
$
u/n$ where $n$ is the frequency of the pulsatile source and
$
u$ is the viscosity of blood. The periodic solution of this
problem is a solution of the Navier-Stokes equations with
cylindrical symmetry.

Standard numerical methods for this problem have large errors for
high frequencies $n$. Our ultimate aim is the construction of a
numerical method for which the errors are independent with respect
to the ratio $
u/n$, extit{i.e.,} parameter-robust with respect
the parameter $
u/n$ (in short, with respect to the frequency $n$).

Here our aim is to develop an appropriate mathematical model which
is an adequate representation of the pulsatile flow of blood
through arteries.

Acknowledgements. This work was supported by the Russian Foundation for Basic Research under grant No. 04-01-00578.
end{document}

*Note. Abstracts are published in author's edition*

© 1996-2000, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Last update: 06-Jul-2012 (11:52:06)