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.