# 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*

## Robust numerical solution of a turbulent jet problem

**Department of Mathematics and Statistics,**

University of Limerick (Limerick,

Ireland)
documentstyle[12pt]{article}
title{Robust numerical solution of a turbulent jet problem}
author{Ali R. Ansari, Alan F. Hegarty, Grigori I. Shishkin}
date{}
begin{document}
maketitle

We investigate the numerical solution of the turbulent jet model
problem as set out in cite{sch}. The same boundary layer
equation is employed as for the laminar jet case, but with the
viscosity $
u$ replaced by the ``turbulent viscosity''
$
u_{ au}$. This turbulent viscosity depends on the kinematic
momentum and varies in space. The effective width of the layer
depends on the kinematic momentum and becomes thinner as the
kinematic momentum grows.

The problem is solved numerically on a finite subdomain using
boundary conditions obtained from the similarity solution given in
cite{sch}. We construct a numerical method based on piecewise
uniform meshes condensing in the vicinity of the jet. The
influence of various parameters which control the flow is
examined.

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

begin{thebibliography}{9}
bibitem{sch} H. Schlichting, extit{Boundary-Layer Theory/}, 7th ed.
McGraw Hill, New York, 1979.
end{thebibliography}
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)