Tj. Gieseke et Yg. Guezennec, STOCHASTIC ESTIMATION OF MULTIPOINT CONDITIONAL AVERAGES AND THEIR SPATIOTEMPORAL EVOLUTION, Applied scientific research, 53(3-4), 1994, pp. 305-320
A novel application of the stochastic estimation procedure is used to
examine the three-dimensional structure of the turbulent wake of a cyl
inder at x/d = 100 and Re(D) = 5000. The basis for this method is the
measurements of the full 3-D correlation tensor for all components acr
oss the width of the wake. Using this large data base, events contribu
ting most to the Reynolds stress are identified and the most likely en
semble-averaged structures corresponding to these events are reconstru
cted using the stochastic estimation procedure. This powerful techniqu
e offers the distinct advantage that multi-point conditional averages
can readily be estimated. An extension of this multi-point conditional
average estimation is presented in this paper in the form of a pseudo
-dynamic reconstruction of the flow field. To that effect, measured ti
me sequences of ''conditions'' at several points in the wake are used
to estimate the three-dimensional structures most likely associated wi
th these events, hence providing a useful tool to reconstruct the evol
ution of the large-scale flow structures.