173	1996	Per Lötstedt and Per Carlbom	perl@tdb.uu.se	Stability and non-normality of the k--epsilon equations

                               Abstract

The analytical and numerical solutions of the equations of the k--epsilon 
turbulence model are analyzed. Under certain conditions on the boundary 
values and the interior values of k and epsilon, the analytical and numerical 
solutions are bounded. If the steady state solution is obtained numerically 
by a Runge-Kutta time-stepping method, then severe constraints on the 
time-step and the non-normality of the Jacobian matrix make the convergence 
very slow. The simplifications and conclusions are supported by data from 
a numerical solution of flow over a flat plate.