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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 $nu$ replaced by the ``turbulent viscosity'' $nu_{tau}$. 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, textit{Boundary-Layer Theory/}, 7th ed. McGraw Hill, New York, 1979. end{thebibliography} end{document}

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