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An Error Threshold Criterion For Singular Value Decomposition Modes Extracted From Piv Data, Brenden P. Epps
An Error Threshold Criterion For Singular Value Decomposition Modes Extracted From Piv Data, Brenden P. Epps
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Singular value decomposition (SVD) is often used as a tool to analyze particle image velocimetry (PIV) data. However, experimental error tends to corrupt higher SVD modes, in which the root mean square velocity value is smaller than the experimental error. Therefore, we suggest that the threshold criterion, sk [ ffiffiffiffiffiffiffi DT p ; can be used as a rough limit of the validity of SVD modes extracted from experimental data (where sk is the singular value of mode k, D and T are the number of data sites and time steps, respectively, and is the root mean square PIV error). …