  The recent 1/2-equation model of turbulence is a simplification of the
standard Kolmogorov-Prandtl 1-equation URANS model. Surprisingly, initial
numerical tests indicated that the 1/2-equation model produces comparable
velocity statistics at reduced cost. It is also a test problem and first step
for developing numerical analysis to address a full 1-equation model. This
report begins the numerical analysis of the 1/2 equation model. Stability,
convergence and error estimates are proven for a semi-discrete and fully
discrete approximation. Finally, numerical tests are conducted to validate our
convergence theory.
