  Energy injection into the early universe can induce turbulent motions of the
primordial plasma, which in turn act as a source for gravitational radiation.
Earlier work computed the amplitude and characteristic frequency of the relic
gravitational wave background, as a function of the total energy injected and
the stirring scale of the turbulence. This paper computes the frequency
spectrum of relic gravitational radiation from a turbulent source of the
stationary Kolmogoroff form which acts for a given duration, making no other
approximations. We also show that the limit of long source wavelengths,
commonly employed in aeroacoustic problems, is an excellent approximation. The
gravitational waves from cosmological turbulence around the electroweak energy
scale will be detectable by future space-based laser interferometers for a
substantial range of turbulence parameters.
