B. Bienkiewicz et al., PROPER ORTHOGONAL DECOMPOSITION AND RECONSTRUCTION OF MULTICHANNEL ROOF PRESSURE, Journal of wind engineering and industrial aerodynamics, 54, 1995, pp. 369-381
The proper orthogonal decomposition (POD) and reconstruction of pressu
re on the roof of a low-rise building is described. The point pressure
s acquired simultaneously at 494 taps, uniformly distributed on the bu
ilding surface, were used in the analysis. The pressure space correlat
ion was computed and employed to calculate the eigenvalues and eigenve
ctors (modes) for two cases: roof pressure held (RP) and roof and wall
s pressure (RWP). The first two of the RP modes were found to be respe
ctively similar in shape to the pressure mean square and the mean pres
sure derivative computed with respect to the wind direction. Strong in
teraction between the wall and roof pressures was identified from the
POD analysis. The POD results for the RP case were employed to reconst
ruct the point and area-averaged roof pressure. Approximately 30% and
2% of the computed modes were needed to represent the largest negative
peak of point and area-averaged roof pressure, respectively. Only one
mode was sufficient to reconstruct the mean point and area-averaged r
oof pressure.