Turbulence and Interactions by unknow

Author:unknow
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(1)

with the number of time delays considered. Minimizing the least-square error defined as (in the conventional -norm sense), the coefficients can be obtained by solving for each point a system of linear equations of the form , where A is a real-symmetric square matrix containing cross-correlations of the observers, B is a real matrix with correlations between velocity points and observers, and a real matrix containing the unknown coefficients.

Instead of directly estimate the velocity field, the same methodology can be applied to the n-th temporal Pod coefficients. This is known as the complementary technique, originally introduced by Bonnet et al. [1]. Equation (1) may therefore be rewritten as:

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