Testing the Frozen-Flow Approximation

We investigate the accuracy of the frozen–flow approximation (FFA), recently proposed by Matarrese \etal (1992), for following the nonlinear evolution of cosmological density fluctuations under gravitational instability. We compare a number of statistics between results of the FFA and nbody simulations, including those used by Melott, Pellman & Shandarin (1993) to test the Zel’dovich approximation. The FFA performs reasonably well in a statistical sense, e.g. in reproducing the counts–in–cell distribution, at small scales, but it does poorly in the crosscorrelation with nbody which means it is generally not moving mass to the right place, especially in models with high small–scale power.