Double Proper Orthogonal Decomposition for Representing and Simulating Turbulence Fields

Abstract

The modeling and simulation of the wind field along structures is a fundamental step in the analysis of their wind-excited response. The proper orthogonal decomposition (POD) provides efficient tools to formulate a model of the turbulence field based on principal components. This paper proposes a representation of turbulence based on a double application of the proper orthogonal decomposition. Considering a linear domain and generalizing an analogous previous solution concerning the classical components, closed form expressions for the eigenvalues and eigenfunctions of the principal turbulence field are obtained. Based on this representation, a very efficient simulation scheme for the three correlated turbulence components along a linear domain is introduced.