Application of the algebraic RNG model for transition simulation
Abstract
The algebraic form of the RNG model of Yakhot and Orszag (1986) is investigated as a transition model for the Reynolds averaged boundary layer equations. It is found that the cubic equation for the eddy viscosity contains both a jump discontinuity and one spurious root. A yet unpublished transformation to a quartic equation is shown to remove the numerical difficulties associated with the discontinuity, but only at the expense of merging both the physical and spurious root of the cubic. Jumps between the branches of the resulting multiplevalued solution are found to lead to oscillations in flat plate transition calculations. Aside from the oscillations, the transition behavior is qualitatively correct.
 Publication:

Instability and Transition, Volume 2
 Pub Date:
 1990
 Bibcode:
 1990intr....2..463L
 Keywords:

 Algebra;
 Boundary Layer Equations;
 Boundary Layer Transition;
 Computational Fluid Dynamics;
 Group Theory;
 KEpsilon Turbulence Model;
 Cubic Equations;
 Equations Of Motion;
 Reynolds Equation;
 Reynolds Stress;
 Fluid Mechanics and Heat Transfer