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Access Type
Campus Access
Document Type
thesis
Degree Program
Mechanical Engineering
Degree Type
Master of Science (M.S.)
Year Degree Awarded
2014
Month Degree Awarded
February
Keywords
Sensitivity analysis, PDE, Parameter estimation, Wavelet transform, Parameter Signatures, NLS
Abstract
A method of sensor location selection is introduced for distributed parameter systems. In this method, the sensitivities of spatial outputs to model parameters are computed by a model and transformed via continuous wavelet transforms into the time-scale domain to characterize the shape attributes of output sensitivities and accentuate their differences. Regions are then sought in the time-scale plane wherein the wavelet coefficient of an output-sensitivity surpasses all the others’ as indication of the output sensitivity’s uniqueness. This method yields a comprehensive account of identifiability each output provides for the model parameters as the basis of output selection. This output selection strategy is evaluated for a numerical case of pollutant dispersion by advection and discussion in a two-dimensional area.
DOI
https://doi.org/10.7275/4853298
First Advisor
Kourosh Danai