%0 Journal Article %A Van Noije, T. P. C. %A Ernst, M. H. %A Brito, Ricardo %T Spatial correlations in compressible granular flows %D 1998 %@ 1063-651X %U https://hdl.handle.net/20.500.14352/58509 %X The clustering instability in freely evolving granular fluids manifests itself in the density-density correlation function and structure factor. These functions are calculated from fluctuating hydrodynamics. As time increases, the structure factor of density fluctuations develops a maximum, which shifts to smaller wave numbers (growing correlation length). Furthermore, the inclusion of longitudinal velocity fluctuations changes long-range correlations in the flow field qualitatively and extends the validity of the theory for spatial velocity correlations to higher inelasticities. The theoretical predictions agree well with two-dimensional molecular-dynamics simulations. %~