Analysis of the stochastic velocity field by proper orthogonal decomposition

The Karhunen-Loeve expansion, known in fluid dynamics as the Proper Orthogonal Decomposition (POD), of random vector Melds is determined. These fields are the velocity of nonstationary flow past the cylindrical contour and uniform at infinity. The velocity field has been calculated with the Vortex Blobs Method. The POD procedure is carried out on the assumption of ergodicity which leads to an algebraic eigenvalue problem.