On the statistical properties of truncated Gram–Charlier series expansions in turbulent wall-bounded flows

Higher-order correlations were measured in a turbulent boundary layer using the LDA measuring technique. In the paper, comparisons are made between the measured and predicted correlations obtained by utilizing the properties of truncated Gram–Charlier series expansions. Several theoretically derived relationships between correlations of different orders were confirmed by the experimental data. The experimental and theoretical results support the applicability of truncated Gram–Charlier series expansions for a refined statistical analysis of the conservation equations for higher-order moments of turbulent property fluctuations.