2-DIMENSIONAL GRAM-CHARLIER RECONSTRUCTION OF VELOCITY CORRELATIONS

The two-point statistics obtained in a two-dimensional mixing layer an d a three-dimensional wall jet are reconstructed from the summation of Hermite Polynomials. The use of Hermite Polynomials allows the rigoro us and progressive decomposition of the statistical field into separat e components, Gaussian and non-Gaussian. The influence of individual t erms can then be investigated. Two different schemes are used: a one-d imensional temporal reconstruction of data from both experiments, whic h is capable of providing excellent agreement with the measurements, a nd a two-dimensional scheme with the mixing layer data, which captures spatial and temporal characteristics of the velocity cross-correlatio n. It is demonstrated that the technique can also recover information that may be lost or missing between two measuring points thereby provi ding a complementary method to linear stochastic estimation. (C) 1996 American Institute of Physics.